From e7e43d268461544e04bf6905b194adb84ca0dde5 Mon Sep 17 00:00:00 2001 From: gedeck Date: Tue, 9 Jul 2024 08:26:17 -0400 Subject: [PATCH] Created using Colab --- IndustrialStatistics/notebooks/Chap006.ipynb | 9180 +++++++++++------- 1 file changed, 5780 insertions(+), 3400 deletions(-) diff --git a/IndustrialStatistics/notebooks/Chap006.ipynb b/IndustrialStatistics/notebooks/Chap006.ipynb index 8ff06c0..68cc8ba 100644 --- a/IndustrialStatistics/notebooks/Chap006.ipynb +++ b/IndustrialStatistics/notebooks/Chap006.ipynb @@ -1,3461 +1,5841 @@ { - "cells": [ - { - "cell_type": "markdown", - "id": "3eb84baa", - "metadata": {}, - "source": [ - "# Chapter 6 \n", - " Industrial Statistics: A Computer Based Approach with Python
\n", - "by Ron Kenett, Shelemyahu Zacks, Peter Gedeck\n", - "\n", - "Publisher: Springer International Publishing; 1st edition (2023)
\n", - "\n", - "\n", - "(c) 2022 Ron Kenett, Shelemyahu Zacks, Peter Gedeck\n", - "\n", - "The code needs to be executed in sequence.\n", - "\n", - "Python packages and Python itself change over time. This can cause warnings or errors. We\n", - "\"Warnings\" are for information only and can usually be ignored. \n", - "\"Errors\" will stop execution and need to be fixed in order to get results. \n", - "\n", - "If you come across an issue with the code, please follow these steps\n", - "\n", - "- Check the repository (https://gedeck.github.io/mistat-code-solutions/) to see if the code has been upgraded. This might solve the problem.\n", - "- Report the problem using the issue tracker at https://github.com/gedeck/mistat-code-solutions/issues\n", - "- Paste the error message into Google and see if someone else already found a solution" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "f951af3e", - "metadata": {}, - "outputs": [], - "source": [ - "import os\n", - "os.environ['OUTDATED_IGNORE'] = '1'\n", - "import warnings\n", - "from outdated import OutdatedPackageWarning\n", - "warnings.filterwarnings('ignore', category=FutureWarning)\n", - "warnings.filterwarnings('ignore', category=OutdatedPackageWarning)" - ] - }, - { - "cell_type": "markdown", - "id": "9b141f7d", - "metadata": {}, - "source": [ - "# Quality by Design" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "aab9af7a", - "metadata": {}, - "outputs": [], - "source": [ - "import random\n", - "import itertools\n", - "import pandas as pd\n", - "import numpy as np\n", - "from scipy import stats\n", - "import statsmodels.formula.api as smf\n", - "import matplotlib.pyplot as plt\n", - "import mistat" - ] - }, - { - "cell_type": "markdown", - "id": "ee215f57", - "metadata": {}, - "source": [ - "## Offline Quality Control, Parameter Design and the Taguchi Method" - ] - }, - { - "cell_type": "markdown", - "id": "351a527b", - "metadata": {}, - "source": [ - "### Product and Process Optimization Using Loss Functions" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "c45864d7", - "metadata": {}, - "outputs": [ + "cells": [ { - "data": { - "image/png": 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" + "cell_type": "markdown", + "id": "3eb84baa", + "metadata": { + "id": "3eb84baa" + }, + "source": [ + "\"Open\n", + "\n", + "# Chapter 6\n", + "Industrial Statistics: A Computer Based Approach with Python
\n", + "by Ron Kenett, Shelemyahu Zacks, Peter Gedeck\n", + "\n", + "Publisher: Springer International Publishing; 1st edition (2023)
\n", + "\n", + "\n", + "(c) 2022 Ron Kenett, Shelemyahu Zacks, Peter Gedeck\n", + "\n", + "The code needs to be executed in sequence.\n", + "\n", + "Python packages and Python itself change over time. This can cause warnings or errors. We\n", + "\"Warnings\" are for information only and can usually be ignored.\n", + "\"Errors\" will stop execution and need to be fixed in order to get results.\n", + "\n", + "If you come across an issue with the code, please follow these steps\n", + "\n", + "- Check the repository (https://gedeck.github.io/mistat-code-solutions/) to see if the code has been upgraded. This might solve the problem.\n", + "- Report the problem using the issue tracker at https://github.com/gedeck/mistat-code-solutions/issues\n", + "- Paste the error message into Google and see if someone else already found a solution" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=[6, 4])\n", - "\n", - "ax.axhline(y=1.5**2, color='gray', ls=':')\n", - "ax.axhline(y=2.5**2, color='gray', ls=':')\n", - "for x in [-2.5, -1.5, 1.5, 2.5]:\n", - " x2 = x**2 + 1\n", - " ax.plot([x, x], [0, x2], color='gray', ls=':')\n", - "prop = {'arrowstyle': \"<->,head_width=0.4,head_length=0.8\",\n", - " 'shrinkA': 0, 'shrinkB': 0, 'color': 'grey'}\n", - "for x in [1.5, 2.5]:\n", - " x2 = x**2 + 0.6\n", - " plt.annotate(text='', xy=(-x,x2), xytext=(x,x2), arrowprops=prop)\n", - "\n", - "\n", - "x = np.linspace(-3, 3, 401)\n", - "y = x**2\n", - "ax.plot(x, y, c='black')\n", - "ax.set_xlim(-3, 3)\n", - "ax.set_ylim(0, 9)\n", - "ax.set_ylabel('LOSS')\n", - "\n", - "ticks = [0.5,0.6,0.7,0.8,0.9,1.0]\n", - "ax.set_xticks([-2.5, -1.5, 0, 1.5, 2.5])\n", - "ax.set_xticklabels([r'$\\tau-\\Delta$',r'$\\tau-\\delta$',\n", - " r'$\\tau$',\n", - " r'$\\tau+\\delta$',r'$\\tau+\\Delta$'])\n", - "ax.set_yticks([1.5**2, 2.5**2])\n", - "ax.set_yticklabels(['$A', '$B'])\n", - "ax.text(0, 1, 'Target', horizontalalignment='center')\n", - "ax.text(0, 1.5**2 + 1, 'Manufacturer\\nTolerance', horizontalalignment='center')\n", - "ax.text(0, 2.5**2 + 1, 'Customer Tolerance', horizontalalignment='center')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "4646afe5", - "metadata": {}, - "source": [ - "### Major Stages in Product and Process Design" - ] - }, - { - "cell_type": "markdown", - "id": "243910d0", - "metadata": {}, - "source": [ - "### Design Parameters and Noise Factors" - ] - }, - { - "cell_type": "markdown", - "id": "7af51998", - "metadata": {}, - "source": [ - "### Parameter Design Experiments" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "9543d400", - "metadata": {}, - "outputs": [], - "source": [ - "response = pd.DataFrame([\n", - " [-1, -1, -1, 60.5, 61.7, 60.5, 60.8],\n", - " [ 1, -1, -1, 47.0, 46.3, 46.7, 47.2],\n", - " [-1, 1, -1, 92.1, 91.0, 92.0, 91.6],\n", - " [ 1, 1, -1, 71.0, 71.7, 71.1, 70.0],\n", - " [-1, -1, 1, 65.2, 66.8, 64.3, 65.2],\n", - " [ 1, -1, 1, 49.5, 50.6, 49.5, 50.5],\n", - " [-1, 1, 1, 91.2, 90.5, 91.5, 88.7],\n", - " [ 1, 1, 1, 76.0, 76.0, 78.3, 76.4],\n", - "], columns=['A', 'B', 'C', 'y1', 'y2', 'y3', 'y4'])\n", - "response['Ymean'] = response[['y1', 'y2', 'y3', 'y4']].mean(axis=1)\n", - "response['S'] = response[['y1', 'y2', 'y3', 'y4']].std(ddof=0, axis=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "da71ab3a", - "metadata": {}, - "outputs": [ + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "f951af3e", + "metadata": { + "id": "f951af3e" + }, + "outputs": [], + "source": [ + "!pip install mistat --quiet" + ] + }, { - "data": { - "text/html": [ - "
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" + "cell_type": "markdown", + "id": "9b141f7d", + "metadata": { + "id": "9b141f7d" + }, + "source": [ + "# Quality by Design" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "aab9af7a", + "metadata": { + "id": "aab9af7a" + }, + "outputs": [], + "source": [ + "import random\n", + "import itertools\n", + "import pandas as pd\n", + "import numpy as np\n", + "from scipy import stats\n", + "import statsmodels.formula.api as smf\n", + "import matplotlib.pyplot as plt\n", + "import mistat" + ] + }, + { + "cell_type": "markdown", + "id": "ee215f57", + "metadata": { + "id": "ee215f57" + }, + "source": [ + "## Offline Quality Control, Parameter Design and the Taguchi Method" + ] + }, + { + "cell_type": "markdown", + "id": "351a527b", + "metadata": { + "id": "351a527b" + }, + "source": [ + "### Product and Process Optimization Using Loss Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "c45864d7", + "metadata": { + "id": "c45864d7", + "outputId": "ecc6f44d-6b74-4628-9adf-de3939201126", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 368 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } ], - "text/plain": [ - " A B C y1 y2 y3 y4 Ymean S\n", - "0 -1 -1 -1 60.5 61.7 60.5 60.8 60.875 0.491808\n", - "1 1 -1 -1 47.0 46.3 46.7 47.2 46.800 0.339116\n", - "2 -1 1 -1 92.1 91.0 92.0 91.6 91.675 0.432290\n", - "3 1 1 -1 71.0 71.7 71.1 70.0 70.950 0.610328\n", - "4 -1 -1 1 65.2 66.8 64.3 65.2 65.375 0.901041\n", - "5 1 -1 1 49.5 50.6 49.5 50.5 50.025 0.526189\n", - "6 -1 1 1 91.2 90.5 91.5 88.7 90.475 1.087141\n", - "7 1 1 1 76.0 76.0 78.3 76.4 76.675 0.952300" + "source": [ + "fig, ax = plt.subplots(figsize=[6, 4])\n", + "\n", + "ax.axhline(y=1.5**2, color='gray', ls=':')\n", + "ax.axhline(y=2.5**2, color='gray', ls=':')\n", + "for x in [-2.5, -1.5, 1.5, 2.5]:\n", + " x2 = x**2 + 1\n", + " ax.plot([x, x], [0, x2], color='gray', ls=':')\n", + "prop = {'arrowstyle': \"<->,head_width=0.4,head_length=0.8\",\n", + " 'shrinkA': 0, 'shrinkB': 0, 'color': 'grey'}\n", + "for x in [1.5, 2.5]:\n", + " x2 = x**2 + 0.6\n", + " plt.annotate(text='', xy=(-x,x2), xytext=(x,x2), arrowprops=prop)\n", + "\n", + "\n", + "x = np.linspace(-3, 3, 401)\n", + "y = x**2\n", + "ax.plot(x, y, c='black')\n", + "ax.set_xlim(-3, 3)\n", + "ax.set_ylim(0, 9)\n", + "ax.set_ylabel('LOSS')\n", + "\n", + "ticks = [0.5,0.6,0.7,0.8,0.9,1.0]\n", + "ax.set_xticks([-2.5, -1.5, 0, 1.5, 2.5])\n", + "ax.set_xticklabels([r'$\\tau-\\Delta$',r'$\\tau-\\delta$',\n", + " r'$\\tau$',\n", + " r'$\\tau+\\delta$',r'$\\tau+\\Delta$'])\n", + "ax.set_yticks([1.5**2, 2.5**2])\n", + "ax.set_yticklabels(['$A', '$B'])\n", + "ax.text(0, 1, 'Target', horizontalalignment='center')\n", + "ax.text(0, 1.5**2 + 1, 'Manufacturer\\nTolerance', horizontalalignment='center')\n", + "ax.text(0, 2.5**2 + 1, 'Customer Tolerance', horizontalalignment='center')\n", + "\n", + "plt.show()" ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "response" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "de0f1531", - "metadata": {}, - "outputs": [ + }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "rsquared: 0.991\n", - "rsquared: 0.816\n" - ] - } - ], - "source": [ - "model = smf.ols('Ymean ~ A + B + C', data=response).fit()\n", - "print(f'rsquared: {model.rsquared:.3f}')\n", - "model_S = smf.ols('S ~ A + B + C', data=response).fit()\n", - "print(f'rsquared: {model_S.rsquared:.3f}')" - ] - }, - { - "cell_type": "markdown", - "id": "191dfc5f", - "metadata": {}, - "source": [ - "### Performance Statistics" - ] - }, - { - "cell_type": "markdown", - "id": "ef29560e", - "metadata": {}, - "source": [ - "## The Effects of Non-linearity" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "de79fa32", - "metadata": {}, - "outputs": [], - "source": [ - "np.random.seed(seed=1)\n", - "\n", - "def Y(R, L, V, f):\n", - " d = R**2 + (2*np.pi*f*L)**2\n", - " return V / np.sqrt(d)\n", - "R = 5\n", - "L = 0.02\n", - "V = stats.norm.rvs(loc=100, scale=np.sqrt(9), size=500)\n", - "f = stats.norm.rvs(loc=55, scale=np.sqrt(25/9), size=500)\n", - "Ysimulated = Y(R, L, V, f)\n", - "Ymean = np.mean(Ysimulated)\n", - "Yvar = np.var(Ysimulated)\n", - "delta = 2 * np.sqrt(Yvar / 500)\n", - "CI = (Ymean - delta, Ymean + delta)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "94355fca", - "metadata": {}, - "outputs": [], - "source": [ - "from mistat.design import doe\n", - "np.random.seed(1)\n", - "\n", - "# Build design from factors\n", - "FacDesign = doe.full_fact({\n", - " 'R': [0.05, 5, 9.5],\n", - " 'L': [0.01, 0.02, 0.03],\n", - "})\n", - "results = []\n", - "for _, (R, L) in FacDesign.iterrows():\n", - " V = stats.norm.rvs(loc=100, scale=np.sqrt(9), size=500)\n", - " f = stats.norm.rvs(loc=55, scale=np.sqrt(25/9), size=500)\n", - "\n", - " Ysimulated = Y(R, L, V, f)\n", - " Ymean = np.mean(Ysimulated)\n", - " Yvar = np.var(Ysimulated)\n", - "\n", - " target = 10\n", - " MSE = (Ymean - target) **2 + Yvar\n", - " results.append({\n", - " 'R': R,\n", - " 'L': L,\n", - " 'Ymean': Ymean,\n", - " 'Yvar': Yvar,\n", - " 'MSE': MSE,\n", - " })\n", - "results = pd.DataFrame(results)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "ab960a79", - "metadata": {}, - "outputs": [ + "cell_type": "markdown", + "id": "4646afe5", + "metadata": { + "id": "4646afe5" + }, + "source": [ + "### Major Stages in Product and Process Design" + ] + }, + { + "cell_type": "markdown", + "id": "243910d0", + "metadata": { + "id": "243910d0" + }, + "source": [ + "### Design Parameters and Noise Factors" + ] + }, + { + "cell_type": "markdown", + "id": "7af51998", + "metadata": { + "id": "7af51998" + }, + "source": [ + "### Parameter Design Experiments" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "9543d400", + "metadata": { + "id": "9543d400" + }, + "outputs": [], + "source": [ + "response = pd.DataFrame([\n", + " [-1, -1, -1, 60.5, 61.7, 60.5, 60.8],\n", + " [ 1, -1, -1, 47.0, 46.3, 46.7, 47.2],\n", + " [-1, 1, -1, 92.1, 91.0, 92.0, 91.6],\n", + " [ 1, 1, -1, 71.0, 71.7, 71.1, 70.0],\n", + " [-1, -1, 1, 65.2, 66.8, 64.3, 65.2],\n", + " [ 1, -1, 1, 49.5, 50.6, 49.5, 50.5],\n", + " [-1, 1, 1, 91.2, 90.5, 91.5, 88.7],\n", + " [ 1, 1, 1, 76.0, 76.0, 78.3, 76.4],\n", + "], columns=['A', 'B', 'C', 'y1', 'y2', 'y3', 'y4'])\n", + "response['Ymean'] = response[['y1', 'y2', 'y3', 'y4']].mean(axis=1)\n", + "response['S'] = response[['y1', 'y2', 'y3', 'y4']].std(ddof=0, axis=1)" + ] + }, { - "data": { - "text/html": [ - "
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0.125651 1.878566\n", - "8 9.50 0.03 7.109422 0.062426 8.417865" + "source": [ + "response" ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "results" - ] - }, - { - "cell_type": "markdown", - "id": "3010a3a5", - "metadata": {}, - "source": [ - "## Taguchi's Designs" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "e22241ea", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 6, + "id": "de0f1531", + "metadata": { + "id": "de0f1531", + "outputId": "6d300bd8-0fc8-4a4e-90bb-09f25a538471", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "rsquared: 0.991\n", + "rsquared: 0.816\n" + ] + } + ], + "source": [ + "model = smf.ols('Ymean ~ A + B + C', data=response).fit()\n", + "print(f'rsquared: {model.rsquared:.3f}')\n", + "model_S = smf.ols('S ~ A + B + C', data=response).fit()\n", + "print(f'rsquared: {model_S.rsquared:.3f}')" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, axes = plt.subplots(ncols=2, figsize=(8,4))\n", - "\n", - "def drawFactor(x,y, factor, ax):\n", - " ax.text(x, y, factor, ha='center', va='center',\n", - " bbox={'boxstyle' : 'circle', 'color':'lightgrey'})\n", - "def drawInteraction(f1, f2, dx, dy, interaction, ax, alpha=0):\n", - " ax.plot([f1[0], f2[0]], [f1[1], f2[1]], color='black')\n", - " ax.text(0.5*(f1[0] + f2[0]) + dx, 0.5*(f1[1] + f2[1]) + dy, interaction,\n", - " ha='center', va='center',\n", - " bbox={'boxstyle' : 'circle', 'color':'white', 'alpha': alpha})\n", - "ax = axes[0]\n", - "d = 2\n", - "factors = {\n", - " 1: (0, d),\n", - " 2: (-d * 0.951, d * 0.309),\n", - " 15: (d * 0.951, d * 0.309),\n", - " 4: (-d * 0.5877, -d * 0.809),\n", - " 8: ( d * 0.5877, -d * 0.809),\n", - "}\n", - "d = np.sqrt(0.05)\n", - "interactions = {\n", - " 3: (1, 2, -d, d),\n", - " 5: (1, 4, 0, 0),\n", - " 9: (1, 8, 0, 0),\n", - " 14: (1, 15, d, d),\n", - " 6: (2, 4, -d, -d),\n", - " 7: (8, 15, d, -d),\n", - " 10: (2, 8, 0, 0),\n", - " 11: (4, 15, 0, 0),\n", - " 13: (2, 15, 0, 0),\n", - " 12: (4, 8, 0, -d-0.065),\n", - "}\n", - "for interaction, (f1, f2, dx, dy) in interactions.items():\n", - " drawInteraction(factors[f1], factors[f2], dx, dy, interaction, ax, alpha=0.75)\n", - "for factor, (x,y) in factors.items():\n", - " drawFactor(x, y, factor, ax)\n", - "ax.set_xlim(-3, 3)\n", - "ax.set_ylim(-3, 3)\n", - "ax.set_title('LG1')\n", - "plt.sca(ax)\n", - "plt.axis('off')\n", - "\n", - "ax = axes[1]\n", - "d = np.sqrt(2)\n", - "factors = {\n", - " 1: (-1, 0),\n", - " 2: (1, 0),\n", - " 4: (1 + d, d),\n", - " 5: (1 + d, -d),\n", - " 8: (-1 - d, d),\n", - " 10: (-1 - 2 * 0.97, 2 * 0.26),\n", - " 12: (-1 - 2 * 0.97, -2 * 0.26),\n", - " 14: (-1 - d, -d),\n", - "}\n", - "d = np.sqrt(0.05)\n", - "interactions = {\n", - " 3: (1, 2, 0, d),\n", - " 6: (2, 4, -d, d),\n", - " 7: (2, 5, d, d),\n", - " 9: (1, 8, d, d),\n", - " 11: (1, 10, 0, d),\n", - " 13: (1, 12, 0, -d),\n", - " 15: (1, 14, d, -d),\n", - "}\n", - "for interaction, (f1, f2, dx, dy) in interactions.items():\n", - " drawInteraction(factors[f1], factors[f2], dx, dy, interaction, ax)\n", - "for factor, (x,y) in factors.items():\n", - " drawFactor(x, y, factor, ax)\n", - "ax.set_xlim(-3.5, 3)\n", - "ax.set_ylim(-3, 3)\n", - "ax.set_title('LG2')\n", - "plt.sca(ax)\n", - "plt.axis('off')\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "89991ea1", - "metadata": {}, - "source": [ - "## Quality by Design in the Pharmaceutical Industry" - ] - }, - { - "cell_type": "markdown", - "id": "55914cc4", - "metadata": {}, - "source": [ - "### Introduction to Quality by Design" - ] - }, - { - "cell_type": "markdown", - "id": "d2bfa44f", - "metadata": {}, - "source": [ - "### A Quality by Design Case Study: The Full Factorial Design" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "98bf7de0", - "metadata": {}, - "outputs": [], - "source": [ - "# data loading and preprocessing\n", - "df = mistat.load_data('QBD')\n", - "df.columns = [s.replace(' ', '_').replace('-', '_') for s in df.columns]\n", - "predictors = ['Temp', 'Blending_Time', 'Cooling_Time']\n", - "outcome = 'Viscosity'\n", - "data = df[predictors + [outcome]]\n", - "\n", - "# convert data to factors\n", - "FFdesign = data.copy()\n", - "for predictor in predictors:\n", - " values = FFdesign[predictor]\n", - " toFactor = {min(values): -1, max(values): 1, np.mean(values): 0}\n", - " values = [toFactor[v] for v in values]\n", - " FFdesign[predictor] = values\n", - "FFdesign = FFdesign.sort_values(by=['Cooling_Time', 'Blending_Time', 'Temp'])\n", - "FFdesign = FFdesign.reset_index(drop=True)\n", - "\n", - "formula = 'Viscosity ~ (Temp + Blending_Time + Cooling_Time)**2'\n", - "ff_model = smf.ols(formula=formula, data=FFdesign).fit()\n", - "FFdesign['predicted'] = ff_model.predict(FFdesign)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "23163ab6", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", - "text/plain": [ - "
" + "cell_type": "markdown", + "id": "191dfc5f", + "metadata": { + "id": "191dfc5f" + }, + "source": [ + "### Performance Statistics" ] - }, - "metadata": {}, - "output_type": "display_data" }, { - "data": { - "image/png": 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", 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" + "cell_type": "markdown", + "id": "ef29560e", + "metadata": { + "id": "ef29560e" + }, + "source": [ + "## The Effects of Non-linearity" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# define a utility function to create sequences of numbers\n", - "def paddedRange(values, padding=0.1):\n", - " vmin = values.min()\n", - " vmax = values.max()\n", - " delta = padding*(vmax - vmin)\n", - " return (vmin - delta, vmax + delta)\n", - "\n", - "def calculateRelVariance(design, fixedFactors):\n", - " freeFactors = [c for c in design.columns if c not in fixedFactors]\n", - " if len(freeFactors) != 1:\n", - " raise ValueError('You can have only one free factors')\n", - " freeFactor = freeFactors[0]\n", - "\n", - " def linspace(limits):\n", - " lmin, lmax = paddedRange(limits, padding=0)\n", - " return np.linspace(lmin, lmax)\n", - " xf = linspace(design[freeFactor])\n", - " data = pd.DataFrame({\n", - " f: xf if f == freeFactor else fixedFactors[f] for f in design.columns\n", - " })\n", - "\n", - " XXm1 = np.linalg.inv(np.matmul(design.transpose(), np.array(design)))\n", - " \n", - " relVar = []\n", - " for _, x in data.iterrows():\n", - " relVar.append(np.matmul(x.transpose(), np.matmul(XXm1, x)))\n", - " data['relVariance'] = relVar\n", - " return data\n", - "\n", - "\n", - "def visualizeDesign(design, title):\n", - " fig, axes = plt.subplots(ncols=3, figsize=[7, 2.5])\n", - " for factor, ax in zip(predictors, axes): \n", - " fixed = [f for f in design.columns if f != factor]\n", - " fixedFactors = {fixed[0]: 1, fixed[1]: 1}\n", - "\n", - " x = calculateRelVariance(design[predictors], fixedFactors)\n", - " ax.plot(x[factor], x['relVariance'])\n", - " ax.set_ylim(0, 1)\n", - " ax.set_xlabel(factor)\n", - " if ax == axes[0]:\n", - " ax.set_ylabel('Relative prediction variance')\n", - " axes[1].set_title(title)\n", - " plt.tight_layout()\n", - " plt.show()\n", - " \n", - "# convert data to factors\n", - "visualizeDesign(FFdesign, 'Full factorial design')\n", - "HFdesign = FFdesign.iloc[[0, 3, 7, 8], :]\n", - "visualizeDesign(HFdesign, 'Half fractional design')" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "c7eb6589", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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vvwCoVq0aVapUsXJFElcKQiKxtGfPHtasWQMoBIkIbN26lU2bNgEKQW8yBSGRWNi9ezdr164FoGLFitSoUUMhSMTAtmzZwubNmwGoXr06lStXtm5B8soUhEReYteuXaxbtw6ASpUqUb16dYUgEQPbvHkzW7ZsAaBGjRpUqlTJyhXJ61AQEnmByCGocuXKVKtWTSFIxMAih6CaNWtSsWJFK1ckr0tBSOQ5du7cyfr16wFeqTGaiCQfZrOZzZs3s3XrViDiQ5srVKhg5aokPigIicRAjdFE5Bmz2cymTZvYtm0bALVr16Z8+fJWrkrii4KQyH+oMZqIPKMQlPwpCIlEosZoIvKM2Wzmr7/+Yvv27QDUqVOHcuXKWbkqiW8KQiL/UmM0EXnGbDazceNGduzYAUDdunUpW7aslauShKAgJIIao4nI/5nNZjZs2MDOnTsBqFevHmXKlLFyVZJQFITE8NQYTUSeMZvNrF+/nl27dgEKQUagICSGpsZoIvKM2Wxm3bp17N69G4D69evj4+Nj5aokoSkIiWGpMZqIPPPfENSgQQNKly5t5aokMSgIieGoMZqIRGY2m1m7di179uwBoGHDhnh7e1u5KkksCkJiKOoJIiKRmc1m1qxZw969ewGFICNSEBLD+G9PEIUgEWMzm82sXr2affv2AeDn50epUqWsXJUkNgUhMQQ1RhORyMxmM3/++Sf79+8HoFGjRpQsWdLKVYk1KAhJsqfGaCIS2X9DUOPGjSlRooR1ixKrURCSZE2N0UQkMrPZzKpVq/j7778BhSBREJJkTI3RRCQys9nMypUrOXDgAABNmjShePHiVq5KrE1BSJIlNUYTkcgihyAbGxuaNGlCsWLFrF2WJAEKQpLs/LcniBqjiRib2WxmxYoVHDx4UCFIolEQkmRFjdFEJDKz2czy5cs5dOgQNjY2NG3alKJFi1q7LElCFIQk2VBjNBGJzGQysWLFCksIatasGUWKFLF2WZLEKAhJsqDGaCISmclkYvny5Rw+fFghSF5IQUjeeGqMJiKRmUwmli1bxpEjR7CxsaF58+YULlzY2mVJEqUgJG80hSARiey/IahFixYUKlTI2mVJEqYgJG8sNUYTkchMJhNLly7l6NGj2Nra0rx5c4UgeSkFIXkjqTGaiERmMplYsmQJx44dw9bWlhYtWlCwYEFrlyVvAAUheeOoJ4iIRPbfENSyZUsKFChg7bLkDaEgJG8UhSARicxkMrF48WKOHz+uECSvREFI3hhqjCYikYWHh7N48WL++ecfbG1tadWqFfnz57d2WfKGURCSN4Iao4lIZJFDUIoUKWjVqhX58uWzdlnyBlIQkiRPjdFEJLLw8HAWLVrEiRMnFILktSkISZKmxmgiEll4eDgLFy7k5MmTpEiRgtatW5M3b15rlyVvMAUhSbLUGE1EIvtvCHrrrbfIkyePtcuSN5yCkCRJaowmIpGFh4ezYMECTp06pRAk8UpBSJIcNUYTkcjCwsJYsGABp0+fxs7OjrfeeovcuXNbuyxJJhSEJElRYzQRiUwhSBKagpAkGWqMJiKRhYWFMX/+fM6cOYOdnR1t2rQhV65c1i5LkhkFIUkS1BhNRCL7bwhq27YtOXPmtHZZkgwpCInVqSeIiEQWFhbGvHnzOHv2rEKQJDgFIbEqhSARiSwsLIy5c+dy7tw57O3tadu2LV5eXtYuS5IxBSGxGjVGE5HIQkNDmTdvnkKQJCoFIbEK9QQRkchCQ0OZO3cu58+fx97ennbt2pEjRw5rlyUGoCAkiU4hSEQiCw0NZc6cOVy4cAEHBwfatWtH9uzZrV2WGISCkCQq9QQRkcgUgsTaFIQk0fz3cViFIBFjCwkJYc6cOVy8eBEHBwfat29PtmzZrF2WGIyCkCQKNUYTkcgUgiSpUBCSBKeeICISWUhICLNnz+bSpUs4OjrSvn17smbNau2yxKAUhCRBKQSJSGQhISHMmjWLy5cvKwRJkqAgJAlGPUFEJLLg4GBmz55tCUEdOnQgS5Ys1i5LDE5BSBLEf3uCKASJGFtwcDCzZs3iypUrCkGSpCgISbxTYzQRiSxyCHJycqJDhw5kzpzZ2mWJAApCEs/UE0REIgsODmbmzJlcvXoVJycnOnbsSKZMmaxdloiFglASFhYWxr59+7h9+zZhYWHWLuelwsLC2LZtG3fu3MHOzo7KlSuzb98+9u3bF+t9uLi4UKxYMU2UIjF40+aEkJAQtm3bhr+/P/b29vj6+rJz585Yb29jY4Orqyve3t64u7snYKViZApCSVBwcDAff/wxs2fP4u5df2uX88pmz579StvZ2NhQqVJFhg8fQaVKleK5KpE3T0hICB9//DGzZs18o+eEWbNmvdJ2dnZ21Khene/GjaNQoULxXJUYnYJQEhMcHEyLFs1Zv349vTv50bhueXJkzYi9ffL/pzKbzTwOeMqWXUf5edaf1K1bl9WrV1O5cmVrlyZiNSEhIbRo0Zx169bRq1NDmtStYJg5wWQycf9BABu3HWTy7yupVs2XTZs2KwxJvEr+P0lvmIULF7Jy5SqW/DqY2lW9rV1OonNP40rHlhlp0bASfh2/onevXhw9dszaZYlYzcKFC1mxYiWLfxlEHd/S1i4n0aVL60aenJlp3rASNVt9yscff8TKlausXZYkI7bWLkCiWrBgPmVKFjBkCIospbMT73VryrHjxzl58qS1yxGxmgUL5lO6eH5DhqDI0runpnv7eqxbt54HDx5YuxxJRhSEkpjdu3dTo1IJa5eRJNSoXBKI+J6IGNWePXuoUbmEtctIEmpULkloaCgHDx60dimSjCgIJTGPHweQJrWLtctIElI6O+Hk5MDjx4+tXYqI1Tx69Ii0mhMASJvaFUBzgsQrBaEkyNbWxtolJBm2NraYzWZrlyFiVba2mqrh/3Oj5gSJT8n+pysgIIBBgwZRt25d3N3dsbGxYcaMGTGOnT9/PuXKlSNNmjSkS5eOqlWrsmpV9JvyTCYTo0ePJmfOnDg5OVGsWDHmzJmTwK8kutE/ziNVLj9K1+0TbV1ISChjfpxPyZo9cS/QDC+fDjTrMoRrN+5axgQ8CWTYuFk07jyIrCXbkCqXH38s3BDjsbp/NI5Uufyi/SlZs+dL6/S//4hxUxdTu/Wn5CjdjszF38K32YcsXLnt1V+8iLB199EYfy5T5fJj78H/31tXt81nMY5p3HnQK+0PYMyP8/Ft9iE5SrfDvUAzilXrzkdDf+aO/8M4v47zl27gXqAZqXL5ceDImVf7Zoi8omT/1Njdu3cZOnQo2bNnp3jx4mzevDnGcRMmTKB///40aNCAkSNHEhQUxIwZM2jYsCGLFi2iWbNmlrGff/45I0eOpFu3bvj4+LBs2TLatm2LjY0Nb731VqK8rms37jJm0gJSpXSKti40NIxm7wxlz4ETdG5dhyIFvHjwKID9h07x8PETsmRKD0QElBET5pItswdFC+Zk6+6jLzymo4M9P47sF2VZatdUL61174GTDBn7B3V8vfm4T2vsUqRg6dqddOo/mpNnLvPFgHZxeOUi8l+9OvvhXSxvlGW5ckRtSpolU3qGfNQxyrJMGWJuUhib/R08dpZiBXPSomFlXFM5c/LcFWbMXcfaTfvYtWp8jHPT83wybBp2dikIDgmN9TYi8SXZB6FMmTJx48YNPD092b9/Pz4+PjGOmzBhAj4+PqxYsQIbm4jTr126dCFLliz89ttvliB07do1xo4dS58+fZg4cSIAXbt2pWrVqnz00Ue0bNmSFClSJPjrGjjiF3xK5MdkMnH3/qOor+WXZWzfe4wN80dRuni+5+7D08Odc3t+x9MjLQeOnKFyk/dfeEw7uxS0aVItzrUWzJedI39NIXuWDJZl3TvUp0H7L/huyiIG9Ggep0lTRKKqWLowTetXfOEYN9eUsf75jc3+Zv80MNqysiUL0K7PSP7cuJeWflVidaz1Ww+wYdsBBnRvzqiJ82K1jUh8SvaXxhwdHfH09HzpuEePHpEhQwZLCAJwc3PDxcUFZ2dny7Jly5YRGhpK7969LctsbGzo1asXV69eZdeuXfH7AmKwfe8xlqzewegvu0VbZzKZmDRjOY1ql6N08XyEhYXzNDAoxv04Otrj6ZE2TscODw/n0eOncdrGK5tnlBAEEd8zv9rlCA4J5cLlm3Han4hE9zjgKWFh4S8cExYWTsCTwHjb33/lyJoRgIePnsRqfGhoGB8PnUrvzo3Imf3l87RIQkj2QSi2fH19WbNmDRMmTODixYucPHmSPn368PDhQ959913LuIMHD5IqVSoKFiwYZfsyZcpY1iek8PBwPhg8hc6talOkgFe09SfOXOHGrXsUKeBF34ET8SjSAo/CLSlTrx9bdh15rWM/DQzGs1hrMhVvTdaSbRjw1U+xnlRjcuvOfQDSubu9Vl0iRtfzkx/wLNYa94LNqNd2YIz32Zy9cB2PIi3IWLQVOct0YOh3MwkNjfnzymKzP4i4afnuvYfcvHOfHXuP8+HQqaRIYUvlckViVffEX5dz/+ETPunTOvYvViSeJftLY7E1fvx47t69S//+/enfvz8A6dOnZ+PGjZQvX94y7saNG2TMmDHKmSPA8iGh169fT9A6p81aw5Vrd1j5x7AY15+7GHH8ib8sI21qV8YPi7iR+ttJC2jy9iC2LvmOogVzxvm4nh7uDOjejBJFcmMymVm/9W+mzvyToycusGbOCOzs4nY58N6Dx8yYt56KPoWfe5/CM2FhYYSEhMS55jdB5NeVXF+jJBwHezua1K1Abd/SpHd348SZy4yftoRarT9l48LRlCicG4Cc2TNRpVwxCufPwZPAIJau3smoifM4e+Eav0/4JM77e+bW3QfkLvv/+46yZErPr99/SP7c2V5a+8079xk1cS7DP+uCm2vKePqOiMSdgtC/UqZMSf78+cmaNSsNGzbk8ePHjBs3jmbNmrFt2zby5MkDQGBgII6OjtG2d3JysqxPKP73HzHs+1l80q81HulSxzgm4GnE8R8/CWTnih/ImtkDAN/yxShavQfjpi7ml3EfxPnYQz/uFOXrln5VyOuVhcFj/2DJ6h2xvh8AIi7fdRnwLQ8fB/Dt4B4vHGs2m1m/fr0h+oaMHTvW2iVIEvSiT5kv512Qct7/PzvdoGZZmtarSNn6/Rg05neWzRgCwE+j+kfZrm3T6vQdOJFf566lb5fGlClZIE77e8Y9tQsrfv+a4OAQDv9znmVrdxHwJOZL8f/15agZeGXzpHPr2rEaL5JQdGnsXy1btuTy5cvMmDGDFi1a8Pbbb7N582ZCQkL4/PPPLeOcnZ0JDg6Otn1QUJBlfUIZOnYmaVO70Ktjw+eOcf43pJXzLmQJQQDZsmSgfOlC7DlwIt7q6ftOY2xtbdm041Cctvtg8BTWbznAjyP6UewVzk6JyPPl9spMg5rl2Lr7COHhz7/Hp3/XJgBs2nH4lffn4GBP9UolqFejDJ/2e4txQ3rS+9PxrN6494X73HvwJHOWbGLUF13VI0msTmeEgPPnz7NmzRqmTp0aZbm7uzuVKlVix44dlmWZMmVi06ZNmM3mKJfHbty4AUDmzJkTpMazF67zy9y1jP6yKzdu37MsDwoOJSw0nEtXb+HqkpJMGSMuM2VIlybaPjKkS82R4+firSZnJ0fc07py/0FArLcZ/sMcps78k6Efd6Jt0+ovHW9jY0OtWrXo27fv65SaZIWEhFjOBH3wwQc4ODhYuSJJasaMGR3nbbJmTk9ISBhPngY/97JT1n/baNx78PKzrbHZH0ScUfLM4M7cZVuoV6PMc8d9MXIGFX0K4ZUtI5eu3gIiznhDxCWzK9duk+0/D1iIJBQFIeDWrYgfxJh+ewoNDY1yarpEiRJMmzaNEydOUKhQIcvyPXv2WNYnhOu3/DGZTHw4ZCofDpkabX2hKl3p3bkRX73fDnt7O27c8o825sate6R3j/mS2qt4HPAU/3uPSJ8udjc7T/l9Fd/8MJs+bzfig54tYn0cOzs7QwQEBwcHQ7xOSXgXL9/EydEBl1TPb0tx4XLEvBebOSE2+3smODiER49f/NTYlet3uHztNoWqdI22rmW3r0ntmorrh+e+9Fgi8UFBCMiTJw+2trbMmzePHj16WM70XL16lW3btlGpUiXL2MaNGzNgwAAmTZpk6SNkNpuZPHkyWbJkoUKFCglSY6F82Zk7OXrfjiHfzSQgIJAxX3UjZ/ZMuLqkpI6vN6v/2sepc1csNy2ePHuF3QdO8E6bunE+dlBwCKGhYbi6RP1NcOTEeZjNZmpV8bYsCw0N4/zlG7i5popyE/TCldv4cOhUWjf2ZdQX0Sc/EYm7O/4Po90veOTEBVZt3Evtqt7Y2try6PFTHB3scXS0t4wxm82M/jGiZ0/NKiXjtD+AJ0+DsLGJ+DzAyJau3sH9hwGUKpbHsiymOWHC8D4EBka9xWDLriP89NtKhg/sQv5cWV/1WyISZ4YIQhMnTuTBgweWJ7pWrFjB1atXAejXrx8eHh506dKFadOmUaNGDZo1a8bjx4+ZNGkSgYGBfPbZZ5Z9Zc2alffee48xY8YQGhqKj48PS5cuZdu2bcyaNSvBmimmd0+NX+3y0Zb/+OtygCjrBn/Ykc07j1C/3Rf06hRxP9FPv60kbRpXPurdKsr2k39fycNHTyxnkFZv3Mv1mxF/79mxIandUnHrzn0qNHyXln5VyJc7YoLasPUgazfvp1bVUjSsVdayv+u3/ClVqzftmldn6pgBAOw/fJpuH36He1pXfCsUZ+6yzVFqKFeqoHqIiLyCjv1H4+zoQDnvAnikS8OJM5f5de5aUjo5Wh5wOHT8HJ3fHUNLvyrkzpGJwOAQVqzdxa6/T9ClTR1KFskTp/0BnL14Hb8OX9C8QWXy5c6KrY0tB46eYe6yzeTImoHenRtZxsY0J9SsXCraa3nwb++hymWKUOo/Xa1FEpIhgtC3337LpUuXLF8vXryYxYsXA9C+fXtSp07NTz/9RPHixZk+fbol+Pj4+PD7779TpUrUJ6JGjhxJ2rRpmTJlCjNmzCBv3rzMnDmTtm3bJt6LeoGCebOzZs5wvhz1G6N/nI+trQ1Vyxfjm0+7kNkzXZSxP/y8hMvXblu+XrZ2F8vWRjSFfKuJL6ndUpHaLRV1q/vw1/ZDzFr8F+HhJnJ5ZWLwhx15r1vTl97seOLMZUJCwrjr/5Ben/wQbf3k0e8qCIm8Ar9aZZm3bAsTpi/jUcBT0runplGd8gzs34bcXhH3K2bP4kFFn0KsWLeLW3ceYGtrQ/7c2Rg/rDdd/nOGODb7A8jimY7GdSuwZdcRZi3+i9CwMLJnzkCPDg34uE8r0qVVbzB5c9iY9TG+SUqqVKkY8mG7KL9RGZlH4ZaMGDnK0tspuQkJCWHEiBEAfPbZZ7pHSKJxcUnFoPfb0edtzQl37z0kR+n2LF26lMaNG1u7nAShOSHx6blFERERMSwFIRERETEsBaEkxtbWhrAwk7XLSBLMZjNh4eEJdgO6yJsgRYoUhL2gMaKRhIVHzI2aEyQ+KQglMenSpePazbvWLiNJuOP/kJCQUNKlS/fywSLJVDr3dFy9rjkB4PqNiO+Du/uLP59QJC4UhJKY2rXrsGrDXnQPO6xcvxtbW1uqV395B2qR5KpW7dqs2qg5AWDF+t2kTZuG0qVLW7sUSUYUhJKYNm3acOHyDYZ9P8vQE9/ZC9cZPn4uNWvUIEMGtdoX42rTpg2Xrtzk63HGnhP2HTrF5N9X0bx5Cz1JJfHKEH2E3iTVqlVj5MiRfPrpp6zdfIDGtcvhld0Te7vkf03cbIZHj5+wZfdRVm3YS9Zs2fjt99+tXZaIVfn6+jJq1Cg++eQT1m7+myZ1yhtmTjCZzdx/8DiigeuWvyldujTfffedtcuSZEZBKAn65JNPKFiwIH/88TujJi0kMDDQ2iUlqsKFC/HRx5/Qs2dPnQ0SAT7++GMKFizI77//xuifFvH06VNrl5Soyvj4MGzYN/To0QNXV1drlyPJjIJQEtWoUSMaNWqE2WwmICAgyge/JrSQkBDGjRsHwIABAxL1NLSLiwv29vYvHyhiMH5+fvj5+RlqTrCxscHFxQU7O71VScLR/64kzsbGJtF/AwoJCcHZ2RmAtGnT6nq8SBKiOUEkfulmaRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMSwFIRERETEsBSERERExLAUhERERMawEDUI2NjYMHjw4IQ/xXL6+vvj6+lq+vnjxIjY2NsyYMcMq9cTG4MGDsbGxsXYZIiIihhGnIDRjxgxsbGyi/MmQIQPVqlVj9erVCVXjG83Lyyva9yymP0k5oImIiCRXdq+y0dChQ8mZMydms5lbt24xY8YM6tevz4oVK2jYsGF81xgvcuTIQWBgIPb29ol63O+//56AgADL13/++Sdz5sxh3LhxpE+f3rK8QoUKtG/fnk8//TRR6xMRETGyVwpC9erVo3Tp0pav33nnHTJmzMicOXOSbBCysbHByckp0Y/bpEmTKF/fvHmTOXPm0KRJE7y8vKKNt7N7pX8SEREReQXxco9QmjRpcHZ2jtWb+LVr1+jSpQsZM2bE0dGRwoUL88svv0QZs3nzZmxsbJg/fz7ffPMNWbNmxcnJiRo1anD27Nlo+5w6dSq5c+fG2dmZMmXKsG3btmhjYrpHqHPnzri4uHDt2jWaNGmCi4sLHh4efPjhh4SHh0fZ3t/fnw4dOuDm5kaaNGno1KkThw8fjtfLWjHdI2RjY0Pfvn1ZsGABhQoVwtnZmfLly3P06FEApkyZQp48eXBycsLX15eLFy9G2++ePXuoW7cuqVOnJmXKlFStWpUdO3bES80iIiJvslc6/fDw4UPu3r2L2Wzm9u3bTJgwgYCAANq3b//C7W7dukW5cuUsb+4eHh6sXr2ad955h0ePHvHee+9FGT9y5EhsbW358MMPefjwIaNHj6Zdu3bs2bPHMmb69On06NGDChUq8N5773H+/HkaNWqEu7s72bJle+lrCQ8Pp06dOpQtW5Zvv/2WDRs2MHbsWHLnzk2vXr0AMJlM+Pn5sXfvXnr16kWBAgVYtmwZnTp1ivs37xVs27aN5cuX06dPHwBGjBhBw4YN+fjjj5k0aRK9e/fm/v37jB49mi5duvDXX39Ztv3rr7+oV68e3t7eDBo0CFtbW3799VeqV6/Otm3bKFOmTKK8BhERkaTolYJQzZo1o3zt6OjIL7/8Qq1atV643eeff054eDhHjx4lXbp0APTs2ZM2bdowePBgevTogbOzs2V8UFAQhw4dwsHBAYC0adPy7rvvcuzYMYoUKUJoaCgDBw6kRIkSbNq0yTKuUKFCdO/ePVZBKCgoiNatW/Pll19a6ilVqhTTp0+3BKGlS5eya9cuvv/+e959910AevXq9dLXG19OnTrFyZMnLZfS0qZNS48ePRg2bBinT5/G1dUViAh1I0aM4OLFi3h5eWE2m+nZs6flZvZnZ5t69OhB4cKF+eKLL1i3bl2ivAYREZGk6JUujf3444+sX7+e9evXM3PmTKpVq0bXrl1ZvHjxc7cxm80sWrQIPz8/zGYzd+/etfypU6cODx8+5MCBA1G2efvtty3hBqBy5coAnD9/HoD9+/dz+/ZtevbsGWVc586dSZ06daxfT8+ePaN8XblyZcsxANasWYO9vT3dunWzLLO1tbWcoUloNWrUiHI/UdmyZQFo3ry5JQRFXv6s9kOHDnHmzBnatm2Lv7+/5fv95MkTatSowdatWzGZTInyGkRERJKiVzojVKZMmSg3S7dp04aSJUvSt29fGjZsGCWUPHPnzh0ePHjA1KlTmTp1aoz7vX37dpSvs2fPHuXrtGnTAnD//n0ALl26BEDevHmjjLO3tydXrlyxei1OTk54eHhEO86zYzw7TqZMmUiZMmWUcXny5InVMV7Xf78Pz0Lef894PVv+rPYzZ84AvPAS3sOHDy3fVxEREaOJl0eUbG1tqVatGj/88ANnzpyhcOHC0cY8O/PQvn37574xFytWLMrXKVKkiHGc2Wx+zYpffoyk5Hk1vuz78+x7PmbMGEqUKBHjWBcXl9cvUERE5A0Vb89qh4WFAUTpmROZh4cHrq6uhIeHR7vH6FXlyJEDiDjzUb16dcvy0NBQLly4QPHixePtOJs2beLp06dRzgrF9ARbUpI7d24A3Nzc4u17LiIikpzEy+PzoaGhrFu3DgcHBwoWLBjjmBQpUtC8eXMWLVrEsWPHoq2/c+dOnI9bunRpPDw8mDx5MiEhIZblM2bM4MGDB3He3/PUqVOH0NBQfv75Z8syk8nEjz/+GG/HSAje3t7kzp2bb7/9NsaA+irfcxERkeTklc4IrV69mpMnTwIR9/XMnj2bM2fO8Omnn+Lm5vbc7UaOHMmmTZsoW7Ys3bp1o1ChQty7d48DBw6wYcMG7t27F6c67O3tGTZsGD169KB69eq0bt2aCxcu8Ouvv8b6HqHYaNKkCWXKlOGDDz7g7NmzFChQgOXLl1vqTaqfD2Zra8u0adOoV68ehQsX5u233yZLlixcu3aNTZs24ebmxooVK6xdpoiIiNW8UhD66quvLH93cnKiQIEC/PTTT/To0eOF22XMmJG9e/cydOhQFi9ezKRJk0iXLh2FCxdm1KhRr1IK3bt3Jzw8nDFjxvDRRx9RtGhRli9fbnkcPj6kSJGCVatW8e677/Lbb79ha2tL06ZNGTRoEBUrVrRKx+rY8vX1ZdeuXXz99ddMnDiRgIAAPD09KVu27Ev/vURERJI7G3N83nlsMEuXLqVp06Zs376dihUrWruceBMSEsKIESMA+Oyzz2J8ClDih77X8ibQ/9PEo+914ouXe4SMIDAwMMrX4eHhTJgwATc3N0qVKmWlqkREROR16BM+Y6lfv34EBgZSvnx5goODWbx4MTt37mT48OFRumGLiIjIm0NBKJaqV6/O2LFjWblyJUFBQeTJk4cJEybQt29fa5cmIiIir0hBKJbatm1L27ZtrV2GiIiIxCPdIyQiIiKGpSAkIiIihqUgJCIiIoalICQiIiKGpSAkIiIihqUgJCIiIoalICQiIiKGpSAkIiIihqUgJCIiIoalICQiIiKGpSAkIiIihqUgJCIiIoalICQiIiKGpU+fF8MLDg5m7dq1LFq0iDOnTxMUFJhoxzabzdy5cweApUsWY2Njk2jHdnBwJIeXF02aNKFhw4a4urom2rFFkrLg4GDWrVvHokWLOH3qlGHmBCcnZ/LkzUvz5s2pU6cOTk5OiXZsa1IQEkO7d+8eNWvW4ODBQxTK50WporlxdkqbqJMPZE3EY/1fUHAox08dom3b+eTIkZ3Nm7fg5eVllVpEkop79+5Rq1ZNDhw4SMG8OfAulscQc4LZbCYwKIQDe7fxxx9/ULx4MTZu/It06dIlei2JTUFIDMtsNtOgfn2uXLrApkVjKFOygLVLsooz56/R7J2h+PpW5cSJkzg7O1u7JBGrMJvNNGzQgEsXzht6Tth/+DQtun5Nvbp12bN3byKHwMSne4TEsA4fPszuPXuYPKq/YSc8gLy5sjB38kAuXbrM2rVrrV2OiNUcPXqUXbt389OofoaeE0oXz8fk0e+yb/9+Dh48aO1yEpyCkBjWsmXLSJPahZpVSlm7FKsrnD8HhfJ7sXTpUmuXImI1S5cuJbWbC7U0J1CjUgnc07ixbNkya5eS4BSExLCuXr1Kbq8s2NvrCjFAwTxZuXLlsrXLELGaiDkhMw4O9tYuxers7e3I7ZWZK1euWLuUBKcgJIYVEhKCo4NC0DOOjg6EBIdYuwwRq9GcEJWToz0hIcl/TlAQEhEREcNSEBKJpdE/ziNVLj9K1+0TbV1ISChjfpxPyZo9cS/QDC+fDjTrMoRrN+5axmzdfZRUufxi/LP34EnLuKeBQUz5fRV+Hb8kV9mOZCzaivIN3+XnmX8SHh4eq1oXrtxGlwFjKVatO6ly+VG3zWev/w0QkShed0545uCxs7Ts9jVZS7YhfaHmlK7bh0kzlkcZs2HbAXp9Mp7SdfvgmqcxBSu/88p1n790A/cCzUiVy48DR8688n5iKyAggEGDBlG3bl3c3d2xsbFhxowZMY6dP38+5cqVI02aNKRLl46qVauyatWqaONMJhOjR48mZ86cODk5UaxYMebMmfNK9ekcoEgsXLtxlzGTFpAqZfQGY6GhYTR7Zyh7Dpygc+s6FCngxYNHAew/dIqHj5+QJVP6KON7dfbDu1jeKMty5chk+fuFy7f4YMgUfCsUp987TXBzcWbD1oO899VP7D10ip+/HfDSeqfN+pODx85Rqlhe7j14/IqvWkSeJ77mhA3bDtCy29cUL5SbT/q2xiWVM+cv3eDaTf8o+5y/fAuLVm6nRJHcZMro/lq1fzJsGnZ2KQgOCX2t/cTW3bt3GTp0KNmzZ6d48eJs3rw5xnETJkygf//+NGjQgJEjRxIUFMSMGTNo2LAhixYtolmzZpaxn3/+OSNHjqRbt274+PiwbNky2rZti42NDW+99Vac6lMQEomFgSN+wadEfkwmE3fvP4qybsIvy9i+9xgb5o+idPF8L91XxdKFaVq/4nPXZ/RIw97VEyiUL4dl2Ttt69Hz4x/4Y+EGPu3bmtxemV94jGlj3yezZzpsbW1j/G1VRF5PfMwJjx4/pdsH46jr68OsSZ9ia/v8izRDPuzIj8P7YW9vR/N3hvDP6Vd7sGH91gNs2HaAAd2bM2rivFfaR1xlypSJGzdu4Onpyf79+/Hx8Ylx3IQJE/Dx8WHFihWW3kVdunQhS5Ys/Pbbb5YgdO3aNcaOHUufPn2YOHEiAF27dqVq1ap89NFHtGzZkhQpUsS6Pl0aE3mJ7XuPsWT1DkZ/2S3aOpPJxKQZy2lUuxyli+cjLCycp4FBL93n44CnhIXFfJkrvXvqKCHomUZ1ygNw6tzVl+4/a2aPF06qIvLq4mtOmL98C7fvPmDQhx2wtbXlydMgTCZTjGMzZUz32k+4hoaG8fHQqfTu3Iic2T1fa19x4ejoiKfny4/36NEjMmTIEKWBo5ubGy4uLlEavS5btozQ0FB69+5tWWZjY0OvXr24evUqu3btilN9milFXiA8PJwPBk+hc6vaFCngFW39iTNXuHHrHkUKeNF34EQ8irTAo3BLytTrx5ZdR2LcZ89PfsCzWGvcCzajXtuBsb5Gf+vOfQDSpXV75dcjIq8nPueETTsO4eaSkus3/SlRoycZirTEs1hr3v1iEkEJ8ATnxF+Xc//hEz7p0zre9x0ffH19WbNmDRMmTODixYucPHmSPn368PDhQ959913LuIMHD5IqVSoKFiwYZfsyZcpY1seFLo2JvMC0WWu4cu0OK/8YFuP6cxevAzDxl2WkTe3K+GERl6G+nbSAJm8PYuuS7yhaMCcADvZ2NKlbgdq+pUnv7saJM5cZP20JtVp/ysaFoylROPdz6wgJCeXHX5fhlS1jtPuL4pPJbDLE47ISN5H/TyTn/x/POxsTWXzOCWcvXicsPJzWPYbRqVUthnzUkW17jvLTbyt58OgJv43/KJ5eGdy8c59RE+cy/LMuuLmmjLf9xqfx48dz9+5d+vfvT//+/QFInz49GzdupHz58pZxN27cIGPGjNE++iNTpoh7La9fvx6n4yoIiTyH//1HDPt+Fp/0a41HutQxjgl4GvGp1I+fBLJzxQ9kzewBgG/5YhSt3oNxUxfzy7gPACjnXZBy3v//DaZBzbI0rVeRsvX7MWjM7yybMeS5tbw/eAonzlxh0fRB2NnF/tp3XF2/dp0RI0Yk2P7lzTd27Fhrl5Bgjhw5glOK54eh+J4TnjwN4mlgMF3b1uPbQT0AaFy3AiEhYUyfs4YvB7QjT84X3w8YW1+OmoFXNk86t64dL/tLCClTpiR//vxkzZqVhg0b8vjxY8aNG0ezZs3Ytm0befLkASAwMBBHR8do2zs5OVnWx4UujYk8x9CxM0mb2oVeHRs+d4zzvz+M5bwLWSY8gGxZMlC+dCH2HDjxwmPk9spMg5rl2Lr7yHMfjR83dTG/zl3LV++3p2610q/wSkQkPsT3nODk5ABAy0ZVouyjVeOqAOyJ1Fbjdew9eJI5SzYx6ouuSfrewZYtW3L58mVmzJhBixYtePvtt9m8eTMhISF8/vnnlnHOzs4EBwdH2z4oKMiyPi50RkgkBmcvXOeXuWsZ/WVXbty+Z1keFBxKWGg4l67ewtUlpeUx1gzp0kTbR4Z0qTly/NxLj5U1c3pCQsJ48jQ42inrPxZu4MtRM+jath6f9E346/qZs2Tms8/Uc0iiCgkJsZwJ+uCDD3BwcLByRQnj3LlznD3xd4zrEmJOyJTBnROnL5MhfdSxz842PXgY8JqvKMIXI2dQ0acQXtkycunqLSDi7BZEXDK7cu022bJkiJdjvarz58+zZs0apk6dGmW5u7s7lSpVYseOHZZlmTJlYtOmTZjN5iiXx27cuAFA5sxxO4umICQSg+u3/DGZTHw4ZCofDpkabX2hKl3p3bkRX73fDnt7O27c8o825sate6R3j/n0eWQXL9/EydEBl1RR+5GsXL+bPp9NoHGd8owb2vPVX0wc2NrYJts3OYkfDg4Oyfb/yIvOliTEnFCySB7+2n6I6zf9yZcra5RxAOnd4+fBiCvX73D52m0KVekabV3Lbl+T2jUV1w/PjZdjvapbtyICWkxnxkNDQwkLC7N8XaJECaZNm8aJEycoVKiQZfmePXss6+NCQUgkBoXyZWfu5IHRlg/5biYBAYGM+aobObNnwtUlJXV8vVn91z5OnbtC/tzZADh59gq7D5zgnTZ1Ldve8X8Y7b6CIycusGrjXmpX9Y4yCW/fe4xO/cdQsUwRfhn34XMn6NDQMM5fvoGbayoyZXi9Jmsi8nwJMSc0a1CJsZMX8tv89fhWKG5ZPmPeOuzsUlClXNE41xnTnDBheB8CA6NeStqy6wg//baS4QO7kD9SCLOWPHnyYGtry7x58+jRo4flTM/Vq1fZtm0blSpVsoxt3LgxAwYMYNKkSZY+QmazmcmTJ5MlSxYqVKgQp2MrCInEIL17avxql4+2/MdfI9reR143+MOObN55hPrtvqBXp4h7B376bSVp07jyUe9WlnEd+4/G2dGBct4F8EiXhhNnLvPr3LWkdHJk6MedLOMuX7tNq27DsLGBpnUrsHj19ig1FMnvZXnq5Potf0rV6k275tWZOub/Hae37z3Gjr3HAbjr/4inT4MszdMqlilMpTJFXuv7I2I0CTEnlCicm44ta/H7gvWEh4dTqUwRtu05yuI/d/Bhr5ZkypjOMvboiQv8uXEvEPERGY8eP7H8TBctmJP6NSIeHY9pTqhZuVS0uh88egJA5TJFKJWAT6I+M3HiRB48eGB5omvFihVcvRrRE61fv354eHjQpUsXpk2bRo0aNWjWrBmPHz9m0qRJBAYGRrlknzVrVt577z3GjBlDaGgoPj4+LF26lG3btjFr1qw4NVMEBSGR11Ywb3bWzBnOl6N+Y/SP87G1taFq+WJ882kXMnv+fyLzq1WWecu2MGH6Mh4FPCW9e2oa1SnPwP5tonSKvnjlFg8fR0xSAwZNjna8gf3bWILQ82zZeYTh46N+7s7Q72ZatlcQEkk4sZ0TAMYP6022zB78sXADy9ftJntmD0Z90ZW+XRpHGXfo+DnLz/Azz75u17y6JQglVd9++y2XLl2yfL148WIWL14MQPv27UmdOjU//fQTxYsXZ/r06Zbg4+Pjw++//06VKlFvKB85ciRp06ZlypQpzJgxg7x58zJz5kzatm0b59pszGaz+TVemyRDISEhlkeoP/vss2R7P0CnTp04e+Jv1s8bae1SkoRuH47j8q1gtm3f/vLBYihGmRM6d+7M6eP72DB/lLVLSRLqthlI9jzFmDlz5ssHv8GS7nN0IiIiIglMQUgMTSdE/0/fCxHQj8H/GWVOUBASw3J2duZpYPL9uIC4evo0iJSpkmbrfZHEEDEnRG/UZ1RPAoNJmTL5zwkKQmJY+fPn5+TZyzx6/NTapVidyWRi3+Ez5M9fwNqliFjNsznh4b9PVBnZ44Cn/HP6Evnz57d2KQlOQUgMq3nz5gQHhzBnySZrl2J167Yc4PrNu7Rs2dLapYhYTfPmzQkJCWX2kr+sXYrVzV26meDgEJo3b27tUhKcHp8Xw8qePTudO3fmo69/JiQ0lLbNqpMubfx0cn1TBDwJZNnaXQz4ajLVqvlSsWJFa5ckYjXZsmXj7bff5pNh0wkLCzfknOB//xFzl27ms+G/0KFDe7y8vKxdUoJTEBJDmzZtGra2tgwc8StfjJpBzuyZcHZyjPL5NbFjxmR69qnVNkn6gw2fCQoO4dLVWwQFBdOgfn3mzZ//RtQtkpB+/vlny5zw+cgZ5MphjDnBbDYTGBTMhcs3CA830alTJ37++Wdrl5UoFITE0FKkSMH06dMZPnw4S5cu5cyZMwQGBsZpH0+ePOHUqVOEh4eTKlUq8ufPH+fOptbg6OhI9uzZadKkiSF+6xOJjRQpUjBt2jS++eabV54THj9+zOnTpzGZTLi5uZE3b94kH4Qg4mbxPHny0KRJEzw9Pa1dTqJREBIBMmbMSI8ePeK83fXr1/njjz/ImTMnWbNmpX379jg6OiZAhSKSmF51Trh06RKzZs0id+7c5MyZkzZt2mBvb58AFUp8URASeUXPQlBQUJBCkIhYQlBoaCi5cuXirbfeUgh6AygIibyCa9eu8ccffxAcHEy2bNlo166dQpCIgV28eJHZs2crBL2BFIRE4ujq1avMnDmT4OBgsmfPTtu2bRWCRAwscgjKnTs3rVu3Vgh6gygIicSBQpCIRHbhwgVmz55NWFgYefLkoXXr1tjZ6a31TaJ/LZFYunLlCjNnziQkJIQcOXLQtm3bZPsp3CLycufPn2fOnDkKQW84/YuJxIJCkIhEFjkE5c2bl1atWikEvaH0rybyEpcvX2bWrFmEhITg5eVFmzZtFIJEDOzcuXPMnTtXISiZ0L+cyAtEDkHqCSIiZ8+eZe7cuYSHh5MvXz5atmypEPSG07+eyHNE7gmiECQikUNQ/vz5admy5RvRRV5eTEFIJAZqjCYikZ05c4Z58+YpBCVDCkIi/6HGaCISWeQQVKBAAVq0aKEQlIwoCIlEcuHCBebMmaPGaCICwOnTp5k/fz7h4eEULFiQ5s2bKwQlMwpCIv9SYzQRiezUqVPMnz8fk8mkEJSMaZYXQY3RRCSqyCGoUKFCNGvWTCEomdJML4anxmgiEtnJkydZsGABJpOJwoUL06xZM2xtba1dliQQzfZiaGqMJiKRnThxgoULF2IymShSpAhNmzZVCErmNOOLYakxmohEphBkTJr1xZDUGE1EIvvnn39YuHAhZrOZokWL0qRJE4Ugg1AQEsNRYzQRiez48eMsWrQIs9lMsWLFaNy4sUKQgSgIiaGoMZqIRKYQJApCYhhqjCYikR07dozFixdjNpspXrw4jRo1UggyIP2LiyGcOnXKciZIIUhEjh49aglBJUqUSFIhqHPnznh5eUVZZmNjw+DBg61ST2zMmDEDGxsbLl68aO1S4ixp/KuLJKD/NkZTCBIxtqNHj7JkyZKXhqBz587Ro0cPcuXKhZOTE25ublSsWJEffviBwMBAK1SeuHx9fbGxsXnpn6Qc0GJDl8YkWVNjNBGJ7MiRIyxduhSz2UzJkiXx8/PDxsYm2rhVq1bRsmVLHB0d6dixI0WKFCEkJITt27fz0Ucfcfz4caZOnZpodQcGBiZ6e4/PP/+crl27Wr7et28f48ePZ+DAgRQsWNCyvFixYhQuXJi33noLR0fHRK0xPigISbKlniAiEtnhw4dZtmzZS0PQhQsXeOutt8iRIwd//fUXmTJlsqzr06cPZ8+eZdWqVYlZOk5OTol6PIBatWpFq2H8+PHUqlULX1/faOPf1DPteleQZEkhSEQiO3z4sOVMUKlSpZ4bggBGjx5NQEAA06dPjxKCnsmTJw/vvvuu5euwsDC+/vprcufOjaOjI15eXgwcOJDg4OBo206aNInChQvj6OhI5syZ6dOnDw8ePHhp/f+9BDV48GBsbGw4e/YsnTt3Jk2aNKROnZq3336bp0+fRtk2MDCQ/v37kz59elxdXWnUqBHXrl2L18taMd0j5OXlRcOGDdm8eTOlS5fG2dmZokWLsnnzZgAWL15M0aJFcXJywtvbm4MHD0bb78mTJ2nRogXu7u44OTlRunRpli9fHi81P6N3Bkl2/vnnH8vlsKJFiyoEiRjcoUOHWLp0KQDe3t40bNjwuSEIYMWKFeTKlYsKFSrEav9du3blq6++olSpUowbN46qVasyYsQI3nrrrSjjBg8eTJ8+fcicOTNjx46lefPmTJkyhdq1axMaGvpKr61Vq1Y8fvyYESNG0KpVK2bMmMGQIUOijOncuTMTJkygfv36jBo1CmdnZxo0aPBKx4urs2fP0rZtW/z8/BgxYgT379/Hz8+PWbNmMWDAANq3b8+QIUM4d+4crVq1wmQyWbY9fvw45cqV48SJE3z66aeMHTuWVKlS0aRJE5YsWRJvNerSmCQr6gkiIpEdPHjQcgahdOnS1K9f/4Uh6NGjR1y7do3GjRvHav+HDx/mt99+o2vXrvz8888A9O7dmwwZMvDtt9+yadMmqlWrxp07dxgxYgS1a9dm9erVlnmpQIEC9O3bl5kzZ/L222/H+fWVLFmS6dOnW7729/dn+vTpjBo1CoADBw4wf/583nvvPcaNG2ep7+233+bw4cNxPl5cnTp1ip07d1K+fHkAChUqRJ06dejWrRsnT54ke/bsAKRNm5YePXqwdetWy2W3d999l+zZs7Nv3z7LvUe9e/emUqVKfPLJJzRt2jReatQ7hCQbCkEiElnkEOTj4/PSEAQRQQjA1dU1Vsf4888/AXj//fejLP/ggw8ALPcSbdiwgZCQEN57770o81K3bt1wc3N75XuOevbsGeXrypUr4+/vb3kda9asASICRGT9+vV7pePFVaFChSwhCKBs2bIAVK9e3RKCIi8/f/48APfu3eOvv/6ynPG6e/cud+/exd/fnzp16nDmzBmuXbsWLzXqjJAkC2qMJiKRHThwgBUrVgBQpkwZ6tat+9IQBODm5gbA48ePY3WcS5cuYWtrS548eaIs9/T0JE2aNFy6dMkyDiB//vxRxjk4OJArVy7L+riKHCYg4swKwP3793Fzc7PUlzNnzijj/ltvQvlvfalTpwYgW7ZsMS6/f/8+EHFJzWw28+WXX/Lll1/GuO/bt2+TJUuW165RQUjeeP/tCeLn56cQJGJgf//9NytXrgTiFoIgIghlzpyZY8eOxemYsd1/fHvek1pmszmRK4nZ8+p7Wd3P7hX68MMPqVOnToxj4yvMKQjJGy2mxmjWmpBExPr2799vucxUtmxZ6tSpE+c5oWHDhkydOpVdu3ZFuawTkxw5cmAymThz5kyU3jq3bt3iwYMH5MiRwzIOIu6ZyZUrl2VcSEgIFy5coGbNmnGqMbae1XfhwgXy5s1rWX727NkEOV58efY9sre3T7DvzTP6tVneWEeOHLGEoJIlSyoEiRhc5BBUrly5VwpBAB9//DGpUqWia9eu3Lp1K9r6c+fO8cMPPwBQv359AL7//vsoY7777jsAy9NZNWvWxMHBgfHjx0c5WzN9+nQePnyYYE9xPTubMmnSpCjLJ0yYkCDHiy8ZMmTA19eXKVOmcOPGjWjr79y5E2/H0hkheSNFboxWqlSplz4OKyLJ2759+yw3LpcvX55atWq98pyQO3duZs+eTevWrSlYsGCUztI7d+5kwYIFdO7cGYDixYvTqVMnpk6dyoMHD6hatSp79+7lt99+o0mTJlSrVg0ADw8PPvvsM4YMGULdunVp1KgRp06dYtKkSfj4+NC+fft4+T78l7e3N82bN+f777/H39+fcuXKsWXLFk6fPg1Y75JebPz4449UqlSJokWL0q1bN3LlysWtW7fYtWsXV69ejben3hSE5I1z6NAhli1bBqAQJCLs3buX1atXA68fgp5p1KgRR44cYcyYMSxbtoyffvoJR0dHihUrxtixY+nWrZtl7LRp08iVKxczZsxgyZIleHp68tlnnzFo0KAo+xw8eDAeHh5MnDiRAQMG4O7uTvfu3Rk+fDj29vavVe+L/P7773h6ejJnzhyWLFlCzZo1mTdvHvnz57dKx+rYKlSoEPv372fIkCHMmDEDf39/MmTIQMmSJfnqq6/i7Tg25qRyR5UkGSEhIYwYMQKAzz77DAcHBytX9H+RQ5C3tzcNGjRQCBJJYEl5TtizZ4/lEfEKFSpQs2ZNzQmxcOjQIUqWLMnMmTNp166dtcuxKt0jJG+MgwcPWkJQ6dKlFYJEDC5yCKpYsaJC0HMEBgZGW/b9999ja2tLlSpVrFBR0qJLY/JGiNwTxMfHh3r16mnCEzGw3bt3s3btWgAqVapE9erVNSc8x+jRo/n777+pVq0adnZ2rF69mtWrV9O9e/do/XyMSEFIkrxXbYwmIsnTrl27WLduHRDRSblatWqaE16gQoUKrF+/nq+//pqAgACyZ8/O4MGD+fzzz61dWpKgICRJ2us0RhOR5Gfnzp2sX78egCpVquDr66s54SVq1apFrVq1rF1GkqUgJElWfDRGE5HkQyFIEoKCkCRJkXuClCtXjtq1a2vCEzGwHTt2sGHDBgCqVq1q+YRykdelICRJTnw2RhORN9/27dvZuHEjAL6+vlStWtXKFUlyoiAkSUpCNEYTkTfXtm3b+OuvvwCFIEkYCkKSZKgxmohEtnXrVjZt2gRAtWrV1PNGEoSCkCQJkXuCVKxYkRo1aigEiRjYli1b2Lx5MwDVq1encuXK1i1Iki0FIbG6yD1B1BhNRCKHoBo1alCpUiXrFiTJmoKQWJUao4lIZJs3b2bLli0A1KxZk4oVK1q5IknuFITEatQTRESeMZvNbN68ma1btwIRTQArVKhg5arECBSExCoi9wRRCBIxNoUgsSYFIUl0kXuCqDGaiLGZzWY2bdrEtm3bAKhduzbly5e3clViJApCkqjUGE1EnjGbzfz1119s374dgDp16lCuXDkrVyVGoyAkiUaN0UTkGbPZzMaNG9mxYwcAdevWpWzZslauSoxIQUgShRqjicgzZrOZDRs2sHPnTgDq1atHmTJlrFyVGJWCkCQ4NUYTkWfMZjPr169n165dgEKQWJ+CkCSoyD1B1BhNxNj+G4Lq16+Pj4+PlasSo1MQkgSjxmgi8ozZbGbdunXs3r0bgAYNGlC6dGkrVyWiICQJQD1BRCQys9nM2rVr2bNnDwANGzbE29vbylWJRFAQknj1354gCkEixmY2m1mzZg179+4FFIIk6VEQSuLMZjNPnjwhNDQ00Y4ZEhJCYGAgAPfv38fBwSFW25nNZrZu3Wo59V2tWjUKFizI/fv3Y7W9jY0NLi4u2Nnpv6XI85hMJgICAggPD0+0Y77OnLBhwwYOHDgARDwinytXrljPCQAuLi7Y29vHvWiRWLIxm81maxch0W3ZsoXp06ezfPkyHj58ZO1yEpVP6dK0at2anj174uLiYu1yRKzObDazYMECZs2aydq16wgODrZ2SYmqePFitGoVMSe4u7tbuxxJZhSEkqDZs2fToUMH8ubMQtP6FciXKyuODsn/NyKT2cz9B4/ZsPUga7f8jY+PD6tXr1EYEkMzm8188cUXDB8+nDIlC+BXuxzZs2TALoWttUtLcGYzPHwcwKYdh/lz4z7yFyjAhg0bFYYkXikIJTFnz54lf/78tGnqy08j+5MiRQprl2QVew+epFGnQbRp254pU6ZYuxwRq1m6dClNmzZl+MAuvNu1qbXLsZpjJy/SoP0X+FavyYIFC61djiQjyf9XijfM/PnzcXZy5PuhvQwbggDKlCxAjw4NWLhwQaLeHyWS1MyZM4dihXIbOgQBFCngxYAezVi5chWPHz+2djmSjCgIJTHr1q2lRqUSpHR2snYpVudXuxz37t3n77//tnYpIlazfv06GtZU52UAv1rlCAoKsjyVKhIfFISSGP+7d8mSKZ21y0gSsmRKD4C/v7+VKxGxjvDwcO7ff0DWf38WjO7ZnHDv3j0rVyLJiYJQEmMymQx9SSwyu3+/D4n5mLBIUvLsFs4UdpoTQHOCJAzDBaHjx4/TsmVLcuXKRcqUKUmfPj1VqlRhxYoV0caeOHGCunXr4uLigru7Ox06dODOnTtWqPr5Rv84j1S5/Chdt89zxzx4FEAOn/akyuXHkj93RFnX/aNxpMrl99w/12/+/2yMyWRi2qzVlGvQnwxFWuLl04Embw9i998n4lz3zn3HLce4e+9hnLcXkeieNx+EhoYx/Ic5FK7albQFmlK4aldGTZxHWFjUQBHwJJBh42bRuPMgspZsQ6pcfvyxcMNzj3fy7BUadx5EhiItyVqyDe+8P5Y7/rH7eV64chtdBoylWLXupMrlR902n8X9Bcez5Pb+ILFjuM51ly5d4vHjx3Tq1InMmTPz9OlTFi1aRKNGjZgyZQrdu3cH4OrVq1SpUoXUqVMzfPhwAgIC+Pbbbzl69Ch79+6NdUOxhHTtxl3GTFpAqpQvvp9o2LhZBAbG3HfknTb1qFaxRJRlZrOZd7+YRI6sGcjs+f/LdANH/MqE6Ut5q4kv3dvX58GjJ/wyZw112nzGxgWjKV08X6zqNplMfDBkKqlSOvHkaVCsthGRF3vRfPDO+2NZ/OcOOrasSamiedl76CRDv5vJlet3mDi8r2Wc//1HjJgwl2yZPShaMCdbdx994fHqvPUpbq6pGPxhB548CeKHaUs4fuoSW5eMxeElLT+mzfqTg8fOUapYXu49SBo3Pyen9weJPcMFofr161O/fv0oy/r27Yu3tzffffed5T/68OHDefLkCX///TfZs2cHoEyZMtSqVYsZM2ZYxlnTwBG/4FMiPyaTibv3Y266ePzUJX6etZrP+r3F1+NmRVtftlQBypYqEGXZzn3HeRoYTOtGvpZlYWHhTJv1J03rVWT6dx9YljerX5HCVbsxd9nmWAehX+as5dqNO3RqVZtJM5bHahsRebHnzQd/Hz7NolXb+bRfa74c0B6Aru3qkS6tGxOmL6NHhwYULZgTAE8Pd87t+R1Pj7QcOHKGyk3ef+7xxkyaz5OnQWxfNo5sWTIA4F08H34dv2Tmoo10aVP3hfVOG/s+mT3TYWtr+8Iz2okpOb0/SOwZ7tJYTFKkSEG2bNl48OCBZdmiRYto2LCh5T85RHyCer58+Zg/f74Vqoxq+95jLFm9g9FfdnvhuI+GTqVR7XJU8Ckc633PX74FGxsbWjWualkWGhZGYFAIGdKniTLWI10abG1tcXaM3W9A9x48Zuh3f/DFe+1I45Yq1jWJyPO9aD7Yse8fAFo0rBJlecuGVTCbzSxa9f8nsBwd7fH0SBurYy5ds4t61X0sIQigeqUS5M2ZhUWrtr90+6yZPbC1TfpvQW/i+4PETdL/X5hAnjx5wt27dzl37hzjxo1j9erV1KhRA4Br165x+/ZtSpcuHW27MmXKcPDgwcQuN4rw8HA+GDyFzq1qU6SA13PHLf5zO3sOnGTYp2/Het+hoWEs/nM75UoVIEfWjJblzk6O+JTIz8xFG5m7dDNXrt3m6IkL9Pjoe9KmTvXS3/6e+fq7mWTwSMs7bWM3XkRe7GXzQXBIRB8uZ6eov6w4OzsCcPDYuTgf8/pNf+74P6Bk0bzR1nkXz8uRf87HeZ9JyZv8/iBxZ7hLY8988MEHlo7Ftra2NGvWjIkTJwJw48YNADJlyhRtu0yZMnHv3j2Cg4NxdHRMvIIjmTZrDVeu3WHlH8OeOyYwKJiBw3+hb5fG5MiakUtXb8dq3xu2HsD//mNaN/aNtm76d+/Tsf9o3nl/rGVZzuyebFgwmpzZPV+676MnLjB9zhoW/zJIT8aJxJOXzQf5cmUBYNffJ/DK9v+f0537jgNEeSAitm7ejnh83TND9LNHnhncuffgMcHBoTg6vpkfDfQmvz9I3Bk2CL333nu0aNGC69evM3/+fMLDwwkJCQGwfMpyTP+RnZycLGOs8R/d//4jhn0/i0/6tcYjXernjhv700JCw8L5qHfLOO1/3vIt2Nvb0axBpWjrXFI5UzBvdsqWLIBvheLcunOfsZMX8laPb1g3byTp3Z9fD0Rcpqtd1ZualUvFqabQ0FDLv42IkYSFhb1wfWzmgzrVSpM9SwYGDv+FlE6OlCyah32HTjFk7B/Y2aUgKDjuP1uBQRHbxPQZiE7/hp/A4OA3Ngi9qe8P8moMG4QKFChAgQIRNwl37NiR2rVr4+fnx549e3B2dgaI8ROeg4IinnJ6NiaxDR07k7SpXejVseFzx1y6eovvf17Md0N64ZIq9nUGPAlk1YY91KxcknRp3aKsCwsLp2GHL6lSrihjB/ewLK9WsQSl6/bh+6lLGPZp5+fue+HKbew+cJJ9qyfGuh7LtgsXcuzYsThvJ/Kme1m/nNjMB06ODiya/hUd+42ibe8RQESAGfZpZ0b/+PKnTmPy7DLbs8tukQUF/3sp7g0OAm/q+4O8GsMGof9q0aIFPXr04PTp05ZTns9OgUZ248YN3N3drZL2z164zi9z1zL6y67cuP3/zqpBwaGEhYZz6eotXF1S8vW4WWTOmI4q5Ypw6eotAG7duQ/A3XsPuXT1FtliuFFxxfrdEU+LxXBZbPveY/xz+hIjP38nyvI8OTOTP3dWdv/9zwtr/3zELzStVxEHBztLTQ8ePQHg6o27hIaGkSmjOmqLxFZs5wP3NK4UypeDfWt+5MSZyzx4GECBvNlxdnLgk2HTqVw29g9SPOOZIeLT32/evh9t3c3b93BP4/rGng2KyZvw/iCvTkHoX89Odz58+JD8+fPj4eHB/v37o43bu3cvJUqUSOTqIly/5Y/JZOLDIVP5cMjUaOsLVelK786NuHr9Ducu3aBw1ehPkLz31U8AXDs0hzRuLlHWzVu2GZdUzjSI4XONbt99AEC4yRRtXVhYOGHh0ZdHdvXGXeYv38L85Vuiravo9x5FC+Zk96rxMW7bokUL/Pz8Xrh/keQoLCyMr7/+OsZ1sZ0PxnwVMQ/Y2NhQKF8Oy/o1m/ZjMpmi9RGLjcye6UifLjUHj56Jtu7vw2csj+MnF2/C+4O8OsMFodu3b5MhQ4Yoy0JDQ/n9999xdnamUKFCADRv3pzffvuNK1eukC1bNgA2btzI6dOnGTBgQKLXDVAoX3bmTh4YbfmQ72YSEBDImK+6kTN7Jh49foL/f/oK/XP6MkO/m8mA7s0pWyo/qf7zoa53/B+yacdhWvpVifEDX/PmjLjhcuHKrdSu6m1ZfvDYWU6fv0aXt+pYlj0NDOLK9TukS+tmuW8oproXrtzGwpXb+HnsALJ4Pv+zlOzt7dWgTAzpRY+Xx3Y+iElgUDBfj5uJZwZ3WvpViXHMyzSpU4FZizdy9fodsmb2AGDTjsOcuXCNvl0aW8aFhoZx/vIN3FxTkenfM0lJ1Zv8/iCvznBBqEePHjx69IgqVaqQJUsWbt68yaxZszh58iRjx47FxSXiLMnAgQNZsGAB1apV49133yUgIIAxY8ZQtGhR3n479o+jx6f07qnxq10+2vIff41oShjTumdS/3v2x7tY3hjHLVq1jbCw8BgviwGULJqH6pVKMGvRXzx+HEiNyiW5efsek39fibOTA326NLKM3X/4DPXaDmRg/zZ8/l7b59Z25J8LANSu6v3SG61FJKq4zAcd+o7EM0M6CubNxqOAp/yxYAMXLt9k0fRBuLqkjLL95N9X8vDRE27ciniabPXGvZYny3p2bEjqf/t/fdS7JUtWb6deu8/p3dmPgCdB/PDzYgrn96JDi5qW/V2/5U+pWr1p17w6U8f8PyRs33uMHXsjnly76/+Ip0+DGDVxHgAVyxSmUpkir/09iqs3+f1BXp3hglDr1q2ZPn06P/30E/7+/ri6uuLt7c2oUaNo1Oj/b+bZsmVjy5YtvP/++3z66ac4ODjQoEEDxo4dmyyv/85bthmPdGmoXrH4c8fMn/oFP/y8hIUrt7J+69842NtTwacQX77fnny5siZitSISFyWL5mXmwg38MmcNzk4OVPApzC/ff0jxQrmijf3h5yVcvvb/dhvL1u5i2dpdALzVxNcShLJm9mDNnBF8+s10vhr9Gw72dtSp5sOIgV1idX/Qlp1HGD5+TpRlQ7+bCcDA/m2sEoT0/mBMNuZnH28sSULhQgWpXj4/o77oau1SrO6O/0O8fNqzbNmyKJOQiFGEhYVhb2/PlDHv0b55DWuXY3VhYeGkzteEGTNm0KlTJ2uXI8mEYTtLi4iIiCgIiYiIiGEpCCVBJpOuVgKY/n1U38bGxsqViFiX5oQImhMkISgIJTGurm48eBRg7TKShHsPHgPg6upq5UpErMPOzg5nZ2fuP3xs7VKShHsPI+ZGzQkSnxSEkphy5cvz1/bDlt98jGzjtoM4ODhQsmRJa5ciYjVly5Zh47ZD1i4jSdi4LeKT3cuUid70VeRVKQglMS1btuTmbX9+nbvW2qVY1R3/h/w8azW1a9cidWr1GBLjatmyFZt3Hrb03DGqh4+eMPGXZVSsWIEsWbJYuxxJRvT4fBJjNpvp2bMnP//8M++0qUvzhpXJmysLTo7Jv7OyyWTi3v3HbNx+kMm/r+LRkxA2bdpMwYIFrV2aiNU8ffqUhg0bsHfPHnp3bkij2uXJmtkDe/vk3wbOZDLx8NETNu04xJSZf3Lt5n3Wr99A6dKlrV2aJCMKQkmQyWRi2LBhTJv2M1euXLV2OYnOzs6OWjVrMva77xSCRIgIQ++//z7z58/j/v0H1i4n0dna2lKtmi+jRo3G29v7ZcNF4kRBKAkzmUwcOnSIa9euERISYu1yEpyNjQ1ubm6UKlUKd/ek/ZlEItYQEhLCvn37uHPnDuHh4dYuJ1G4ublRokQJPDw8rF2KJFMKQiIiImJYullaREREDEtBSERERAxLQUhEREQMS0FIREREDEtBSERERAxLQUhEREQMS0FIREREDEtBSERERAxLQUhEREQMS0FIREREDEtBSERERAxLQUhEREQMS0FIREREDEtBSERERAxLQUhEREQMS0FIREREDEtBSERERAxLQUhEREQMS0FIREREDEtBSERERAxLQUhEREQMS0FIREREDEtByMAOHDhAo0aNcHd3J2XKlBQpUoTx48dHGbNz504qVapEypQp8fT0pH///gQEBFipYnkRGxubWP3ZvHmztUuVJKhz584v/H9z7do1AHx9fWNcX7duXSu/ApFXY2ftAsQ61q1bh5+fHyVLluTLL7/ExcWFc+fOcfXqVcuYQ4cOUaNGDQoWLMh3333H1atX+fbbbzlz5gyrV6+2YvUSkz/++CPK17///jvr16+PtrxgwYKJWZa8IXr06EHNmjWjLDObzfTs2RMvLy+yZMliWZ41a1ZGjBgRZWzmzJkTpU6R+GZjNpvN1i5CEtejR4/Ily8fFSpUYOHChdjaxnxisH79+hw6dIiTJ0/i5uYGwLRp0+jWrRtr166ldu3aiVm2xFHfvn358ccf0Y+4vKrt27dTuXJlvvnmGwYOHAhEnBG6e/cux44ds3J1IvFDl8YMaPbs2dy6dYtvvvkGW1tbnjx5gslkijLm0aNHrF+/nvbt21tCEEDHjh1xcXFh/vz5iV22xAOTycT3339P4cKFcXJyImPGjPTo0YP79+9HGefl5UXDhg3ZvHkzpUuXxtnZmaJFi1ouqy1evJiiRYvi5OSEt7c3Bw8ejLJ9586dcXFx4fz589SpU4dUqVKROXNmhg4dqmD2Bpk9ezY2Nja0bds22rqwsDBdJpdkQUHIgDZs2ICbmxvXrl0jf/78uLi44ObmRq9evQgKCgLg6NGjhIWFUbp06SjbOjg4UKJEiWhvfPJm6NGjBx999BEVK1bkhx9+4O2332bWrFnUqVOH0NDQKGPPnj1L27Zt8fPzY8SIEdy/fx8/Pz9mzZrFgAEDaN++PUOGDOHcuXO0atUqWpgODw+nbt26ZMyYkdGjR+Pt7c2gQYMYNGhQYr5keUWhoaHMnz+fChUq4OXlFWXd6dOnSZUqFa6urnh6evLll19G+/8j8sYwi+EUK1bMnDJlSnPKlCnN/fr1My9atMjcr18/M2B+6623zGaz2bxgwQIzYN66dWu07Vu2bGn29PRM7LIljvr06WOO/CO+bds2M2CeNWtWlHFr1qyJtjxHjhxmwLxz507LsrVr15oBs7Ozs/nSpUuW5VOmTDED5k2bNlmWderUyQyY+/XrZ1lmMpnMDRo0MDs4OJjv3LkTny9VEsCKFSvMgHnSpElRlnfp0sU8ePBg86JFi8y///67uVGjRmbA3KpVKytVKvJ6dEbIgAICAnj69CkdO3Zk/PjxNGvWjPHjx9OjRw/mzp3LmTNnCAwMBMDR0THa9k5OTpb18uZYsGABqVOnplatWty9e9fyx9vbGxcXFzZt2hRlfKFChShfvrzl67JlywJQvXp1smfPHm35+fPnox2zb9++lr/b2NjQt29fQkJC2LBhQ7y+Nol/s2fPxt7enlatWkVZPn36dAYNGkSzZs3o0KEDy5Yto1u3bsyfP5/du3dbqVqRV6cgZEDOzs4AtGnTJsryZ/cB7Nq1yzImODg42vZBQUGW9fLmOHPmDA8fPiRDhgx4eHhE+RMQEMDt27ejjI8cdgBSp04NQLZs2WJc/t/7jGxtbcmVK1eUZfny5QPg4sWLr/16JOEEBASwbNky6tSpQ7p06V46/oMPPgBQwJU3kh6fN6DMmTNz/PhxMmbMGGV5hgwZgIg3tNy5cwNw48aNaNvfuHFDj8q+gUwmExkyZGDWrFkxrvfw8IjydYoUKWIc97zlZt0EnWwsXbqUp0+f0q5du1iNfxaO7927l5BliSQIBSED8vb2Zv369ZabpZ+5fv06EPGGWKRIEezs7Ni/f3+UU+MhISEcOnQo2ulySfpy587Nhg0bqFixYqKc0TOZTJw/f95yFggibrIFot18K0nLrFmzcHF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" + "cell_type": "code", + "execution_count": 7, + "id": "de79fa32", + "metadata": { + "id": "de79fa32" + }, + "outputs": [], + "source": [ + "np.random.seed(seed=1)\n", + "\n", + "def Y(R, L, V, f):\n", + " d = R**2 + (2*np.pi*f*L)**2\n", + " return V / np.sqrt(d)\n", + "R = 5\n", + "L = 0.02\n", + "V = stats.norm.rvs(loc=100, scale=np.sqrt(9), size=500)\n", + "f = stats.norm.rvs(loc=55, scale=np.sqrt(25/9), size=500)\n", + "Ysimulated = Y(R, L, V, f)\n", + "Ymean = np.mean(Ysimulated)\n", + "Yvar = np.var(Ysimulated)\n", + "delta = 2 * np.sqrt(Yvar / 500)\n", + "CI = (Ymean - delta, Ymean + delta)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "corners = list(itertools.product([-1, 1], repeat=3))\n", - "\n", - "def cornerPosition(corner, offset=0.35):\n", - " return (corner[0] + offset*corner[2], \n", - " corner[1] + offset*corner[2])\n", - " \n", - "\n", - "def drawFace(ax, corners):\n", - " for i1, c1 in enumerate(corners[:-1], 1):\n", - " p1 = cornerPosition(c1)\n", - " for c2 in corners[i1:]:\n", - " differences = sum(c1i != c2i for c1i, c2i in zip(c1, c2))\n", - " if differences != 1:\n", - " continue\n", - " p2 = cornerPosition(c2)\n", - " ax.plot((p1[0], p2[0]), (p1[1], p2[1]), color='grey')\n", - "\n", - "def drawPredictions(ax, corners, data):\n", - " props = {\n", - " 'verticalalignment': 'center', \n", - " 'horizontalalignment': 'center',\n", - " 'fontsize': 12,\n", - " 'bbox': {'boxstyle': 'round', 'facecolor': 'wheat'}\n", - " }\n", - " for corner in corners:\n", - " row = data[(data['Temp'] == corner[0]) &\n", - " (data['Blending_Time'] == corner[1]) &\n", - " (data['Cooling_Time'] == corner[2])]\n", - " p = cornerPosition(corner)\n", - " text = f'{row[\"predicted\"].values[0]:.1f}'\n", - " ax.text(p[0], p[1], text, **props)\n", - " \n", - "def drawLabels(ax):\n", - " props = {\n", - " 'verticalalignment': 'center', \n", - " 'horizontalalignment': 'center',\n", - " 'fontsize': 12,\n", - " }\n", - " def plotLabel(p1, p2, label, left, right):\n", - " ax.text(p1[0], p1[1], left, **props)\n", - " ax.text(p2[0], p2[1], right, **props)\n", - " pmid = np.mean(list(zip(p1, p2)), axis=1)\n", - " ax.text(pmid[0], pmid[1], label, **props)\n", - "\n", - " # Temperatur\n", - " p1 = list(cornerPosition((-1, -1, -1)))\n", - " p2 = list(cornerPosition((1, -1, -1)))\n", - " p1[1] -= 0.35\n", - " p2[1] -= 0.35\n", - " plotLabel(p1, p2, 'Temp', '60', '75')\n", - " # Cooling Time\n", - " p1 = list(cornerPosition((1, -1, -1)))\n", - " p2 = list(cornerPosition((1, -1, 1)))\n", - " p1[0] += 0.5\n", - " p2[0] += 0.5\n", - " plotLabel(p1, p2, 'Cooling Time', '30', '180')\n", - " # Blending Time\n", - " p1 = list(cornerPosition((-1, -1, -1)))\n", - " p2 = list(cornerPosition((-1, 1, -1)))\n", - " p1[0] -= 0.5\n", - " p2[0] -= 0.5\n", - " plotLabel(p1, p2, 'Blending Time', '30', '180')\n", - " \n", - "\n", - "fig, ax = plt.subplots(figsize=(5, 5))\n", - "drawFace(ax, corners)\n", - "drawPredictions(ax, corners, FFdesign)\n", - "\n", - "drawLabels(ax)\n", - "plt.axis('off')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "f74be0a7", - "metadata": {}, - "outputs": [], - "source": [ - "# ignore ValueWarning for Kurtosis-test due to small dataset\n", - "import warnings\n", - "warnings.simplefilter('ignore', category=UserWarning)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "de7ca7f4", - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/html": [ - "
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Coef.Std.Err.tP>|t|[0.0250.975]
Intercept4708.400173.56743627.1272080.0001104156.0309535260.769047
Temp236.875194.0542931.2206640.309404-380.692369854.442369
Blending_Time32.875194.0542930.1694110.876252-584.692369650.442369
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" + "cell_type": "code", + "execution_count": 8, + "id": "94355fca", + "metadata": { + "id": "94355fca" + }, + "outputs": [], + "source": [ + "from mistat.design import doe\n", + "np.random.seed(1)\n", + "\n", + "# Build design from factors\n", + "FacDesign = doe.full_fact({\n", + " 'R': [0.05, 5, 9.5],\n", + " 'L': [0.01, 0.02, 0.03],\n", + "})\n", + "results = []\n", + "for _, (R, L) in FacDesign.iterrows():\n", + " V = stats.norm.rvs(loc=100, scale=np.sqrt(9), size=500)\n", + " f = stats.norm.rvs(loc=55, scale=np.sqrt(25/9), size=500)\n", + "\n", + " Ysimulated = Y(R, L, V, f)\n", + " Ymean = np.mean(Ysimulated)\n", + " Yvar = np.var(Ysimulated)\n", + "\n", + " target = 10\n", + " MSE = (Ymean - target) **2 + Yvar\n", + " results.append({\n", + " 'R': R,\n", + " 'L': L,\n", + " 'Ymean': Ymean,\n", + " 'Yvar': Yvar,\n", + " 'MSE': MSE,\n", + " })\n", + "results = pd.DataFrame(results)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "ab960a79", + "metadata": { + "id": "ab960a79", + "outputId": "79b0b26b-9357-4776-f21e-7352cd8ba3e8", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 332 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " R L Ymean Yvar MSE\n", + "0 0.05 0.01 28.984140 1.446125 361.843679\n", + "1 5.00 0.01 16.494567 0.274769 42.454168\n", + "2 9.50 0.01 9.888878 0.088574 0.100922\n", + "3 0.05 0.02 14.509948 0.396108 20.735743\n", + "4 5.00 0.02 11.720708 0.181956 3.142793\n", + "5 9.50 0.02 8.515011 0.072463 2.277656\n", + "6 0.05 0.03 9.667577 0.169651 0.280157\n", + "7 5.00 0.03 8.676023 0.125651 1.878566\n", + "8 9.50 0.03 7.109422 0.062426 8.417865" + ], + "text/html": [ + "\n", + "
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Std.Err. t P>|t| \\\n", - "Intercept 4708.400 173.567436 27.127208 0.000110 \n", - "Temp 236.875 194.054293 1.220664 0.309404 \n", - "Blending_Time 32.875 194.054293 0.169411 0.876252 \n", - "Cooling_Time -180.875 194.054293 -0.932085 0.420049 \n", - "Temp:Blending_Time 126.625 194.054293 0.652524 0.560604 \n", - "Temp:Cooling_Time -105.625 194.054293 -0.544306 0.624080 \n", - "Blending_Time:Cooling_Time -162.125 194.054293 -0.835462 0.464767 \n", - "\n", - " [0.025 0.975] \n", - "Intercept 4156.030953 5260.769047 \n", - "Temp -380.692369 854.442369 \n", - "Blending_Time -584.692369 650.442369 \n", - "Cooling_Time -798.442369 436.692369 \n", - "Temp:Blending_Time -490.942369 744.192369 \n", - "Temp:Cooling_Time -723.192369 511.942369 \n", - "Blending_Time:Cooling_Time -779.692369 455.442369 " + "source": [ + "results" ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "coefficients = ff_model.summary2().tables[1]\n", - "coefficients" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "38a595bc", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", 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" + "cell_type": "markdown", + "id": "3010a3a5", + "metadata": { + "id": "3010a3a5" + }, + "source": [ + "## Taguchi's Designs" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(5, 2))\n", - "coefficients['Coef.'][1:][::-1].plot.barh(ax=ax)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "e0843d3c", - "metadata": {}, - "outputs": [], - "source": [ - "# add additional feature that identifies the center point\n", - "FFdesign['center'] = [1 if t == 0 else 0 for t in FFdesign['Temp']]\n", - "# and include it in the model\n", - "formula = 'Viscosity ~ (Temp + Blending_Time + Cooling_Time)**2 + center'\n", - "ff_model_center = smf.ols(formula=formula, data=FFdesign).fit()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "2d549169", - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/html": [ - "
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Coef.Std.Err.tP>|t|[0.0250.975]
Intercept4708.400173.56743627.1272080.0001104156.0309535260.769047
Temp236.875194.0542931.2206640.309404-380.692369854.442369
Blending_Time32.875194.0542930.1694110.876252-584.692369650.442369
Cooling_Time-180.875194.054293-0.9320850.420049-798.442369436.692369
Temp:Blending_Time126.625194.0542930.6525240.560604-490.942369744.192369
Temp:Cooling_Time-105.625194.054293-0.5443060.624080-723.192369511.942369
Blending_Time:Cooling_Time-162.125194.054293-0.8354620.464767-779.692369455.442369
\n", - "
" + "cell_type": "code", + "execution_count": 10, + "id": "e22241ea", + "metadata": { + "id": "e22241ea", + "outputId": "32a30e76-7826-4b46-8553-1ce1849253d3", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 407 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } ], - "text/plain": [ - " Coef. Std.Err. t P>|t| \\\n", - "Intercept 4708.400 173.567436 27.127208 0.000110 \n", - "Temp 236.875 194.054293 1.220664 0.309404 \n", - "Blending_Time 32.875 194.054293 0.169411 0.876252 \n", - "Cooling_Time -180.875 194.054293 -0.932085 0.420049 \n", - "Temp:Blending_Time 126.625 194.054293 0.652524 0.560604 \n", - "Temp:Cooling_Time -105.625 194.054293 -0.544306 0.624080 \n", - "Blending_Time:Cooling_Time -162.125 194.054293 -0.835462 0.464767 \n", - "\n", - " [0.025 0.975] \n", - "Intercept 4156.030953 5260.769047 \n", - "Temp -380.692369 854.442369 \n", - "Blending_Time -584.692369 650.442369 \n", - "Cooling_Time -798.442369 436.692369 \n", - "Temp:Blending_Time -490.942369 744.192369 \n", - "Temp:Cooling_Time -723.192369 511.942369 \n", - "Blending_Time:Cooling_Time -779.692369 455.442369 " + "source": [ + "fig, axes = plt.subplots(ncols=2, figsize=(8,4))\n", + "\n", + "def drawFactor(x,y, factor, ax):\n", + " ax.text(x, y, factor, ha='center', va='center',\n", + " bbox={'boxstyle' : 'circle', 'color':'lightgrey'})\n", + "def drawInteraction(f1, f2, dx, dy, interaction, ax, alpha=0):\n", + " ax.plot([f1[0], f2[0]], [f1[1], f2[1]], color='black')\n", + " ax.text(0.5*(f1[0] + f2[0]) + dx, 0.5*(f1[1] + f2[1]) + dy, interaction,\n", + " ha='center', va='center',\n", + " bbox={'boxstyle' : 'circle', 'color':'white', 'alpha': alpha})\n", + "ax = axes[0]\n", + "d = 2\n", + "factors = {\n", + " 1: (0, d),\n", + " 2: (-d * 0.951, d * 0.309),\n", + " 15: (d * 0.951, d * 0.309),\n", + " 4: (-d * 0.5877, -d * 0.809),\n", + " 8: ( d * 0.5877, -d * 0.809),\n", + "}\n", + "d = np.sqrt(0.05)\n", + "interactions = {\n", + " 3: (1, 2, -d, d),\n", + " 5: (1, 4, 0, 0),\n", + " 9: (1, 8, 0, 0),\n", + " 14: (1, 15, d, d),\n", + " 6: (2, 4, -d, -d),\n", + " 7: (8, 15, d, -d),\n", + " 10: (2, 8, 0, 0),\n", + " 11: (4, 15, 0, 0),\n", + " 13: (2, 15, 0, 0),\n", + " 12: (4, 8, 0, -d-0.065),\n", + "}\n", + "for interaction, (f1, f2, dx, dy) in interactions.items():\n", + " drawInteraction(factors[f1], factors[f2], dx, dy, interaction, ax, alpha=0.75)\n", + "for factor, (x,y) in factors.items():\n", + " drawFactor(x, y, factor, ax)\n", + "ax.set_xlim(-3, 3)\n", + "ax.set_ylim(-3, 3)\n", + "ax.set_title('LG1')\n", + "plt.sca(ax)\n", + "plt.axis('off')\n", + "\n", + "ax = axes[1]\n", + "d = np.sqrt(2)\n", + "factors = {\n", + " 1: (-1, 0),\n", + " 2: (1, 0),\n", + " 4: (1 + d, d),\n", + " 5: (1 + d, -d),\n", + " 8: (-1 - d, d),\n", + " 10: (-1 - 2 * 0.97, 2 * 0.26),\n", + " 12: (-1 - 2 * 0.97, -2 * 0.26),\n", + " 14: (-1 - d, -d),\n", + "}\n", + "d = np.sqrt(0.05)\n", + "interactions = {\n", + " 3: (1, 2, 0, d),\n", + " 6: (2, 4, -d, d),\n", + " 7: (2, 5, d, d),\n", + " 9: (1, 8, d, d),\n", + " 11: (1, 10, 0, d),\n", + " 13: (1, 12, 0, -d),\n", + " 15: (1, 14, d, -d),\n", + "}\n", + "for interaction, (f1, f2, dx, dy) in interactions.items():\n", + " drawInteraction(factors[f1], factors[f2], dx, dy, interaction, ax)\n", + "for factor, (x,y) in factors.items():\n", + " drawFactor(x, y, factor, ax)\n", + "ax.set_xlim(-3.5, 3)\n", + "ax.set_ylim(-3, 3)\n", + "ax.set_title('LG2')\n", + "plt.sca(ax)\n", + "plt.axis('off')\n", + "plt.tight_layout()\n", + "plt.show()" ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "coefficients = ff_model.summary2().tables[1]\n", - "coefficients" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "64370e69", - "metadata": {}, - "outputs": [], - "source": [ - "# restore default setting\n", - "warnings.simplefilter('default', category=UserWarning)" - ] - }, - { - "cell_type": "markdown", - "id": "8ae0f382", - "metadata": {}, - "source": [ - "### A Quality by Design Case Study: The Desirability Function" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "17315591", - "metadata": {}, - "outputs": [], - "source": [ - "# define functions that generate a variety of profiles\n", - "# note that the function returns a function profile(x)\n", - "def rampProfile(lower, upper, reverse=False):\n", - " def wrapped(x):\n", - " condlist = [x < lower, x >= lower, x > upper]\n", - " funclist = [0, lambda x: (x-lower)/(upper-lower), 1]\n", - " if reverse:\n", - " funclist = [1, lambda x: (upper-x)/(upper-lower), 0]\n", - " return np.piecewise(x, condlist, funclist)\n", - " return wrapped\n", - "\n", - "def triangleProfile(lower, middle, upper):\n", - " def wrapped(x):\n", - " condlist = [x < lower, x >= lower, x >= middle, x >= upper]\n", - " funclist = [0, lambda x: (x-lower)/(middle-lower), \n", - " lambda x: (upper-x) / (upper-middle), 0]\n", - " return np.piecewise(x, condlist, funclist)\n", - " return wrapped\n", - "\n", - "desirabilityProfiles = {\n", - " 'Active_Assay': rampProfile(95, 105),\n", - " 'In_Vitro_Lower': rampProfile(80, 125),\n", - " 'In_Vitro_Upper': rampProfile(110, 135, reverse=True),\n", - " 'D90': triangleProfile(1, 1.5, 2),\n", - " 'A_Assay': rampProfile(95, 105),\n", - " 'B_Assay': rampProfile(95, 105),\n", - " 'Viscosity': triangleProfile(4000, 5000, 5750),\n", - " 'pH': triangleProfile(4.7, 5.2, 5.6),\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "3e38c61d", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", 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" + "cell_type": "markdown", + "id": "89991ea1", + "metadata": { + "id": "89991ea1" + }, + "source": [ + "## Quality by Design in the Pharmaceutical Industry" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, axes = plt.subplots(ncols=4, nrows=2, figsize=[8, 4])\n", - "for ax, response in zip(itertools.chain(*axes), desirabilityProfiles):\n", - " xmin, xmax = paddedRange(df[response], padding=0.1)\n", - " x = np.linspace(xmin, xmax, 100)\n", - " y = desirabilityProfiles[response](x)\n", - " ax.plot(x, y)\n", - " ax.set_ylim(0, 1)\n", - " ax.set_xlabel(response)\n", - "\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "e16b7ef9", - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/plain": [ - "0.33976276040552145" + "cell_type": "markdown", + "id": "55914cc4", + "metadata": { + "id": "55914cc4" + }, + "source": [ + "### Introduction to Quality by Design" ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def overallDesirability(x):\n", - " x = np.array(list(x))\n", - " if any(xi == 0 for xi in x): # handle 0-desirability case\n", - " return 0\n", - " return stats.gmean(x)\n", - "\n", - "def calculateDesirability(target, models, desirabilityProfiles):\n", - " targetPredictions = {response: model.predict(target).values[0]\n", - " for response, model in models.items()}\n", - " \n", - " # determine overall desirability for targetPredictions\n", - " targetDesirabilities = {response: float(desirabilityProfiles[response](value))\n", - " for response, value in targetPredictions.items()}\n", - "\n", - " targetDesirabilities['overall'] = overallDesirability(targetDesirabilities.values())\n", - "\n", - " return {\n", - " 'individual': pd.DataFrame({'predictions': targetPredictions, \n", - " 'desirability': targetDesirabilities}),\n", - " 'overall': overallDesirability(targetDesirabilities.values()),\n", - " }\n", - "\n", - "models = {}\n", - "for response in desirabilityProfiles:\n", - " formula = f'{response} ~ (Temp + Blending_Time + Cooling_Time)**2'\n", - " models[response] = smf.ols(formula=formula, data=df).fit()\n", - "\n", - "target = pd.DataFrame(\n", - " {'Temp': 65, 'Blending_Time': 2.5, 'Cooling_Time': 150},\n", - " index=['target'])\n", - "\n", - "targetDesirabilities = calculateDesirability(target, models, desirabilityProfiles)\n", - "targetDesirabilities['overall']" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "ce8bb7e1", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", 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" + "cell_type": "markdown", + "id": "d2bfa44f", + "metadata": { + "id": "d2bfa44f" + }, + "source": [ + "### A Quality by Design Case Study: The Full Factorial Design" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "variability = {\n", - " 'Temp': stats.norm(loc=65, scale=3),\n", - " 'Blending_Time': stats.norm(loc=2.5, scale=0.6),\n", - " 'Cooling_Time': stats.norm(loc=150, scale=30),\n", - "}\n", - "\n", - "fig, axes = plt.subplots(ncols=3, figsize=[8, 2])\n", - "for ax, factor in zip(axes, target):\n", - " xrange = paddedRange(df[factor])\n", - " x = np.linspace(xrange[0], xrange[1], 100)\n", - " y = variability[factor].pdf(x)\n", - " ax.axvline(target[factor].values[0], color='grey', linestyle=':')\n", - " ax.plot(x, y)\n", - " ax.set_xlabel(factor)\n", - " ax.set_yticks([])\n", - "plt.tight_layout()" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "dd8e2a3d", - "metadata": {}, - "outputs": [], - "source": [ - "variability = {\n", - " 'Temp': stats.norm(loc=65, scale=3),\n", - " 'Blending_Time': stats.norm(loc=2.5, scale=0.6),\n", - " 'Cooling_Time': stats.norm(loc=150, scale=30),\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "04edded3", - "metadata": {}, - "outputs": [], - "source": [ - "# simulate data with variability around the target settings\n", - "np.random.seed(1)\n", - "random_df = pd.DataFrame({\n", - " factor: variability[factor].rvs(5000)\n", - " for factor in target\n", - "})\n", - "\n", - "predictions = {response: model.predict(random_df)\n", - " for response, model in models.items()}\n", - "\n", - "variableDesirabilities = pd.DataFrame({\n", - " response: desirability(predictions[response].values)\n", - " for response, desirability in desirabilityProfiles.items()\n", - "})\n", - "\n", - "variableDesirabilities['overall'] = \\\n", - " variableDesirabilities.apply(overallDesirability, axis=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "63aaf009", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", 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" + "cell_type": "code", + "execution_count": 11, + "id": "98bf7de0", + "metadata": { + "id": "98bf7de0" + }, + "outputs": [], + "source": [ + "# data loading and preprocessing\n", + "df = mistat.load_data('QBD')\n", + "df.columns = [s.replace(' ', '_').replace('-', '_') for s in df.columns]\n", + "predictors = ['Temp', 'Blending_Time', 'Cooling_Time']\n", + "outcome = 'Viscosity'\n", + "data = df[predictors + [outcome]]\n", + "\n", + "# convert data to factors\n", + "FFdesign = data.copy()\n", + "for predictor in predictors:\n", + " values = FFdesign[predictor]\n", + " toFactor = {min(values): -1, max(values): 1, np.mean(values): 0}\n", + " values = [toFactor[v] for v in values]\n", + " FFdesign[predictor] = values\n", + "FFdesign = FFdesign.sort_values(by=['Cooling_Time', 'Blending_Time', 'Temp'])\n", + "FFdesign = FFdesign.reset_index(drop=True)\n", + "\n", + "formula = 'Viscosity ~ (Temp + Blending_Time + Cooling_Time)**2'\n", + "ff_model = smf.ols(formula=formula, data=FFdesign).fit()\n", + "FFdesign['predicted'] = ff_model.predict(FFdesign)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "targetPredictions = {response: float(model.predict(target))\n", - " for response, model in models.items()}\n", - "\n", - "fig, axes = plt.subplots(ncols=3, nrows=3, figsize=[6, 6])\n", - "nbins = 50\n", - "for ax, response in zip(itertools.chain(*axes), desirabilityProfiles):\n", - " x = predictions[response]\n", - " y = variableDesirabilities[response]\n", - " ax.hist(x, bins=nbins, histtype='step', color='grey')\n", - " ax.hist(x, weights=y, bins=nbins, color='C0')\n", - " ax.set_title(response)\n", - " ax.axvline(targetPredictions[response], color='black', linestyle=':')\n", - " ax.set_yticks([])\n", - "axes[2,2].axis('off')\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "70000b5e", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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gQhCNGjUKFRUViIqKUqd6NEdRFA5Y0yUpJjM6Z76ptokAF4LowvSOxm0iVygGIyzRvFUMOXN5jMjhcCA3Nxdr165FaWkpFEVBjx49cM8992DcuHG8cyMRucyl64hEBCNHjsTDDz+MI0eOoG/fvkhKSkJpaSkyMzNx9913t1Wd5CPEXo/qb7ag+pstvLKaVC7tEeXm5uIf//gH8vPzcdtttzmt+/vf/45Ro0bh/fffx0MPPeTRIsl3iL0eJz7JBgAE9LoFitGtE7fkY1z6KVi5ciWef/75JiEEALfffjtmzJiB5cuXM4jokhSDAf49blDb3obPPtOHSz8JX3/9NYYOHXrJ9WlpaZx9T5elmCyIuu9lRN33Mqd4kMqlIDp58iSio6MvuT46OhqnTp1qdVFE1L64FER2ux0m06WP5oxGI+rrOQBJRK5xaYxIRJCZmQk/P79m19fW1nqkKPJdDtt5lOc8CQDoPP4tTvEgAC4GUeMb5jeHA9VXt+Yew+xRAtSfKlfbRICLQZSTk9NWdVA7oZjMiB47T20TAW7Ovidyl2Iwwtr1Gr3LIC/jfRdyEFG7wz2idqzNx4OaIQ47ar77FwAg4GcpUAxGzWsg78M9ItKU1NtwfH0Wjq/PgtTb9C6HvAT3iEhbigK/2J+rbSKAQUQaM5j90OmBLL3LIC/DQzMi0h2DiIh0xyAiTTlstTia8ySO5jwJh41TgqgBx4hIWyKw/e8BtU0EMIhIY4rJjKjfzFHbRACDiDSmGIzw736d3mWQl2EQEV1GS64+5+1kW49BRJoShx3nDhQCAPy7/4JTPAgAg4g0JvU2/LB6FgAgdspqKBYGETGISGuKAkunRLVNBDCISGMGsx86ZyzUuwzyMrygkYh0xz2idkSP+w8RtQT3iEhTDlstKj6YjooPpnOKB6m4R0TaEkHtkb1qmwhgEJHGFJMZkXe/oLaJAAYRaUwxGBHwsxS9yyAvwzEiItId94h8lLeeIROHHbWHdwMA/LomcYoHAWAQkcak3oZjK58HwCkedBGDiLSlAOYO3dQ2EcAgIo0ZzFbEPLxE7zLIy3Cwmoh0xyAiIt3x0Iw05bDV4oc1DfesjrxnJgxmP50rIm/AICJtieD8wV1qmwhgEPkMb71uqDHFZEaH4c+obSKAQUQaUwxGBCXdpncZ5GU4WE1EuuMe0VWg8WHX1fz4GnHYUXesBABgiU7gFA8CwCAijUm9DRXvTwXAKR50EYOItKUAxpAotU0EMIhIYwazFV0ff1fvMtpcc2cxr+ZD6rbGwWoi0h33iIha6Wq5hsubMYiuQlfzD77U1+GHj+cBACJHPgvFZNG5IvIGDCLSlDgcOPf9drXN8WoCGESkMcVoQsSdv1XbRACDiDSmGE0ITh6qdxnkZXjWjIh0xz0i0pSIA7bjZQAAc8dYKAr/FhKDSFO8yA0QWx3K350E4MIUD6vOFZE3YBCR5gz+IXqXoAtfmrzsaQwinV3N1wS5w2CxIvapFXqXQV6GB+hEpDsGERHpjodmpCmpr8Pxvy0CAHRMm8wpHgSAQUQaE4cDNXs+a2jf+WS7nuLBs6gXMYhIU4rRhPDbH1HbRACDiDSmGE0IuTFd7zLIyzCIiLxIe73WiEFEmhJxwF75AwDAGBLJKR4EgEFEGhNbHY4snQiAUzzoIgYRaU4x++ldgk/xhbNvDKI20t6mbrSUwWJFt6lr9C6DvAyDyEMYPETuYxAReTFfOOxqCQZRC7TXU6ptQeptOJn3/wEAEUMeh2Iy61wReQOeOyVNicOO6q83o/rrzRCHXe9yyEtwj4g0pRiNCBs4Tm2T63xxPJJB5AZf/EHQimI0I3TAaL3LIC/DQzMi0p1P7xG1ZJCZA9HaEhE4zlUCaLh3taK05xuB0AWKiIjWH1pZWYnQ0FCcOXMGISFXvpG6O4FC3slRdx5lC+8F0DDFw8ApHrpx9/eopX+sXfk912WP6EL2VVZWtmh7R22N03Jz39d4G/JOjrrzF9u1NYA4dKymfes25a9ufV9Lf28vbNeSfR1d9oj279+PhIQErT+WiHRQVlaGrl27XnYbXfaIIiIiAACHDh1CaGioHiV4XGVlJWJjY1FWVtaiw82rhS/2yxf7BHhfv0QEVVVViImJueK2ugSRwdBwsi40NNQr/sE8KSQkxOf6BPhmv3yxT4B39aulOxo8fU9EumMQEZHudAkiPz8/vPTSS/Dz850bZPlinwDf7Jcv9gm4uvuly1kzIqKf4qEZEemOQUREumMQEZHu2iyIFi9ejPj4eFitVvTv3x87duy45La7d+/GPffcg/j4eCiKguzs7LYqq1Vc6dOyZcswcOBAhIeHIzw8HIMHD77s9npypV9r167FDTfcgLCwMAQGBiI5ORl/+ctfNKy2ZVzp00+tWrUKiqJg1KhRbVugm1zpV25uLhRFcfqyWr10bp+0gVWrVonFYpF3331Xdu/eLY888oiEhYXJsWPHmt1+x44dMm3aNFm5cqV06tRJFi5c2BZltYqrfXrggQdk8eLFUlRUJHv37pXMzEwJDQ2Vw4cPa1z55bnar61bt8ratWtlz549UlxcLNnZ2WI0GmXTpk0aV35prvbpggMHDkiXLl1k4MCBkp6erk2xLnC1Xzk5ORISEiLl5eXqV0VFhcZVt0ybBNFNN90kkyZNUpftdrvExMTI3Llzr/i9cXFxXhlEremTiEh9fb0EBwfLe++911YluqW1/RIRue666+TFF19si/Lc4k6f6uvrZcCAAfLOO+9IRkaGVwaRq/3KycmR0NBQjaprHY8fmtXV1WHnzp0YPHiw+prBYMDgwYPxr3/9y9MfpwlP9KmmpgY2m02dZ+cNWtsvEUF+fj727duHW2+9tS1LbTF3+zR79mxERUVh4sSJWpTpMnf7VV1djbi4OMTGxiI9PR27d+/WolyXeTyIjh8/DrvdjujoaKfXo6OjUVFR4emP04Qn+vTcc88hJibG6QdJb+7268yZMwgKCoLFYsGwYcPw1ltvYciQIW1dbou406fPP/8cf/7zn7Fs2TItSnSLO/3q1asX3n33Xaxfvx4ffPABHA4HBgwYgMOHD2tRskt8+g6N3iIrKwurVq3Ctm3bvHew0AXBwcHYtWsXqqurkZ+fj6lTp6JHjx4YNGiQ3qW5rKqqCuPGjcOyZcvQsWNHvcvxqJSUFKSkpKjLAwYMQJ8+ffDHP/4Rc+bM0bGypjweRB07doTRaMSxY8ecXj927Bg6derk6Y/TRGv6NH/+fGRlZWHLli249tpr27JMl7nbL4PBgJ49ewIAkpOTsXfvXsydO9crgsjVPpWUlKC0tBQjRoxQX3M4Gm7WZjKZsG/fPq+4d5Ynfq/MZjOuu+46FBcXt0WJreLxQzOLxYLrr78e+fn56msOhwP5+flO6Xw1cbdP8+bNw5w5c7Bp0ybccMMNWpTqEk/9XzkcDtTW1rZFiS5ztU+9e/fGN998g127dqlfI0eOxG233YZdu3YhNjZWy/IvyRP/V3a7Hd988w06d+7cVmW6ry1GwFetWiV+fn6Sm5sre/bskUcffVTCwsLUU4fjxo2TGTNmqNvX1tZKUVGRFBUVSefOnWXatGlSVFQk33//fVuU5xZX+5SVlSUWi0VWr17tdPq0qqpKry40y9V+vfbaa7J582YpKSmRPXv2yPz588VkMsmyZcv06kITrvapMW89a+Zqv2bNmiWffvqplJSUyM6dO+X+++8Xq9Uqu3fv1qsLl9QmQSQi8tZbb0m3bt3EYrHITTfdJNu3b1fXpaamSkZGhrp84MABAdDkKzU1ta3Kc4srfYqLi2u2Ty+99JL2hV+BK/164YUXpGfPnmK1WiU8PFxSUlJk1apVOlR9ea70qTFvDSIR1/r19NNPq9tGR0fLXXfdJYWFhTpUfWWcfU9EuuNcMyLSHYOIiHTHICIi3TGIiEh3DCIi0h2DiIh0xyAiIt0xiIhIdwwicjJo0CA8/fTT6nJ8fLzLt+7NzMz02K1WS0tLoSgKdu3a1er3aklfFEXBunXrmv3sbdu2QVEUnD59utW1kDMGkYbKysowYcIExMTEwGKxIC4uDpMnT8aJEyf0Ls1rxcbGory8HD//+c81+bzy8nKkpaU1u27AgAEoLy9Xn+eem5uLsLAwTerydQwijezfvx833HADvv/+e6xcuRLFxcVYunSpOnv65MmTbfr5NputTd+/rRiNRnTq1AkmU/N3rBER1NfXe+zzOnXqdMknpVosFnTq1AmKonjs86gBg0gjkyZNgsViwebNm5Gamopu3bohLS0NW7ZswZEjR/DCCy8AAJ5//nn079+/yff369cPs2fPVpffeecd9OnTB1arFb1798aSJUvUdRcOKT788EOkpqbCarVi+fLlOHHiBMaMGYMuXbogICAAffv2xcqVK1vVL7vdjqlTpyIsLAwdOnTAs88+i8bTFx0OB+bOnYvu3bvD398f/fr1w+rVq9X1p06dwtixYxEZGQl/f38kJiYiJyfHqS+ND4/+9re/4frrr4efnx8+//xzlJSUID09HdHR0QgKCsKNN96ILVu2NKm3qqoKY8aMQWBgILp06YLFixc7rf/poVljPz0027ZtG8aPH48zZ86oT8h4+eWXMXv27Gb33pKTkzFz5kxX/mnbF33n3LYPJ06cEEVR5LXXXmt2/SOPPCLh4eHicDjk22+/FQBSXFysrr/w2oXbonzwwQfSuXNnWbNmjezfv1/WrFkjERERkpubKyIX72YQHx+vbnP06FE5fPiwvPHGG1JUVCQlJSXy5ptvitFolC+//FL9rNTUVJk8ebK6fKWHGbz++usSHh4ua9askT179sjEiRMlODjYafb6K6+8Ir1795ZNmzZJSUmJ5OTkiJ+fn2zbtk1ERCZNmiTJycny1VdfyYEDByQvL08+/vhjp74UFRWJSMNTRADItddeK5s3b5bi4mI5ceKE7Nq1S5YuXSrffPONfPfdd/Liiy+K1WqVgwcPOvUlODhY5s6dK/v27VP7v3nzZnUbAPLRRx9d9rNPnToltbW1kp2d7fSUjKqqKikrKxODwSA7duxQ37OwsFAURZGSkpJL/ju2dwwiDWzfvt3pB7yxBQsWCAD1sTD9+vWT2bNnq+t/97vfSf/+/dXlhIQEWbFihdN7zJkzR1JSUkTk4i9Qdnb2FWsbNmyYPPPMM+qyq0HUuXNnmTdvnrpss9mka9euahCdP39eAgIC5IsvvnD6vokTJ8qYMWNERGTEiBEyfvz4Zt//UmGwbt26K/YtKSlJ3nrrLae+DB061Gmb0aNHS1pamrrc0iASufRTMtLS0uTxxx9Xl5988kkZNGjQFettz3hopiFp4R1Xxo4dixUrVqjfs3LlSowdOxYAcPbsWZSUlGDixIkICgpSv1555RWUlJQ4vU/ju0La7XbMmTMHffv2RUREBIKCgvDpp5/i0KFDbvXnzJkzKC8vdzqUNJlMTp9bXFyMmpoaDBkyxKne999/X6338ccfx6pVq5CcnIxnn30WX3zxxRU/u3HfqqurMW3aNPTp0wdhYWEICgrC3r17m/St8d0MU1JSsHfvXpf7fjmPPPIIVq5cifPnz6Ourg4rVqzAhAkTPPoZvoY3z9dAz549oSgK9u7di7vvvrvJ+r179yI8PByRkZEAgDFjxuC5555DYWEhzp07h7KyMowePRpAwy8c0PAk2cZjSUaj0Wk5MDDQafmNN97AokWLkJ2djb59+yIwMBBPP/006urqPNbXxi7Uu3HjRnTp0sVp3YVB4bS0NBw8eBCffPIJ8vLy8Ktf/QqTJk3C/PnzL/m+jfs2bdo05OXlYf78+ejZsyf8/f1x7733tmnfLmXEiBHw8/PDRx99BIvFApvNhnvvvVfzOq4mDCINdOjQAUOGDMGSJUswZcoU+Pv7q+sqKiqwfPlyPPTQQ+rZmK5duyI1NRXLly/HuXPnMGTIEERFRQFoeHxMTEwM9u/fr+4ltVRBQQHS09Px4IMPAmgYRP7uu+9wzTXXuNWv0NBQdO7cGV9++aX6XLP6+nrs3LkTv/jFLwAA11xzDfz8/HDo0CGkpqZe8r0iIyORkZGBjIwMDBw4ENOnT79sEDXXt8zMTDXoq6urUVpa2mS77du3N1nu06dPiz/npywWC+x2e5PXTSYTMjIykJOTA4vFgvvvv9/p/5yaYhBp5O2338aAAQNw55134pVXXkH37t2xe/duTJ8+HV26dMGrr77qtP3YsWPx0ksvoa6uDgsXLnRaN2vWLDz11FMIDQ3F0KFDUVtbi3//+984deoUpk6deskaEhMTsXr1anzxxRcIDw/HggULcOzYMbeDCAAmT56MrKwsJCYmonfv3liwYIHTBX/BwcGYNm0apkyZAofDgVtuuQVnzpxBQUEBQkJCkJGRgd///ve4/vrrkZSUhNraWmzYsMHlcEhMTMTatWsxYsQIKIqCmTNnqk/j+KmCggLMmzcPo0aNQl5eHv76179i48aNbvU9Pj5efaRSv379EBAQgICAAADAww8/rPahoKDArfdvV/QepGpPSktLJSMjQ6Kjo8VsNktsbKw8+eSTcvz48Sbbnjp1Svz8/CQgIKDZG+4vX75ckpOTxWKxSHh4uNx6662ydu1aEWk6yHrBiRMnJD09XYKCgiQqKkpefPFFeeihh5zOcLk6WG2z2WTy5MkSEhIiYWFhMnXq1Cbv6XA4JDs7W3r16iVms1kiIyPlzjvvlM8++0xEGgba+/TpI/7+/hIRESHp6emyf//+ZvvSeMD4ggMHDshtt90m/v7+EhsbK2+//XazfZk1a5bcd999EhAQIJ06dZJFixY5vQ9cGKwWEXnsscekQ4cOzd6PfODAgZKUlHTJfzu6iPesJmoDIoLExEQ88cQTl91LpQY8NCPysB9++AGrVq1CRUUFxo8fr3c5VwUGEZGHRUVFoWPHjvjTn/6E8PBwvcu5KjCIiDyMox2u4wWNRKQ7BhER6Y5BRES6YxARke4YRESkOwYREemOQUREumMQEZHuGEREpLv/A+DBqyAlIxPCAAAAAElFTkSuQmCC", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 12, + "id": "23163ab6", + "metadata": { + "id": "23163ab6", + "outputId": "de486fdb-b5cb-4e41-da90-eb34c8dbe740", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 497 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" 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\n" + }, + "metadata": {} + } + ], + "source": [ + "# define a utility function to create sequences of numbers\n", + "def paddedRange(values, padding=0.1):\n", + " vmin = values.min()\n", + " vmax = values.max()\n", + " delta = padding*(vmax - vmin)\n", + " return (vmin - delta, vmax + delta)\n", + "\n", + "def calculateRelVariance(design, fixedFactors):\n", + " freeFactors = [c for c in design.columns if c not in fixedFactors]\n", + " if len(freeFactors) != 1:\n", + " raise ValueError('You can have only one free factors')\n", + " freeFactor = freeFactors[0]\n", + "\n", + " def linspace(limits):\n", + " lmin, lmax = paddedRange(limits, padding=0)\n", + " return np.linspace(lmin, lmax)\n", + " xf = linspace(design[freeFactor])\n", + " data = pd.DataFrame({\n", + " f: xf if f == freeFactor else fixedFactors[f] for f in design.columns\n", + " })\n", + "\n", + " XXm1 = np.linalg.inv(np.matmul(design.transpose(), np.array(design)))\n", + "\n", + " relVar = []\n", + " for _, x in data.iterrows():\n", + " relVar.append(np.matmul(x.transpose(), np.matmul(XXm1, x)))\n", + " data['relVariance'] = relVar\n", + " return data\n", + "\n", + "\n", + "def visualizeDesign(design, title):\n", + " fig, axes = plt.subplots(ncols=3, figsize=[7, 2.5])\n", + " for factor, ax in zip(predictors, axes):\n", + " fixed = [f for f in design.columns if f != factor]\n", + " fixedFactors = {fixed[0]: 1, fixed[1]: 1}\n", + "\n", + " x = calculateRelVariance(design[predictors], fixedFactors)\n", + " ax.plot(x[factor], x['relVariance'])\n", + " ax.set_ylim(0, 1)\n", + " ax.set_xlabel(factor)\n", + " if ax == axes[0]:\n", + " ax.set_ylabel('Relative prediction variance')\n", + " axes[1].set_title(title)\n", + " plt.tight_layout()\n", + " plt.show()\n", + "\n", + "# convert data to factors\n", + "visualizeDesign(FFdesign, 'Full factorial design')\n", + "HFdesign = FFdesign.iloc[[0, 3, 7, 8], :]\n", + "visualizeDesign(HFdesign, 'Half fractional design')" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=[3, 3])\n", - "x = variableDesirabilities['overall']\n", - "ax.hist(x[x>0], bins=nbins)\n", - "ax.axvline(targetDesirabilities['overall'], color='black', linestyle=':')\n", - "ax.set_xlabel('Overall desirability')\n", - "ax.set_ylabel('Distribution')\n", - "ax.set_yticks([])\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "4a8486b9", - "metadata": {}, - "source": [ - "### A Quality by Design Case Study: The Design Space" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "81eb8898", - "metadata": {}, - "outputs": [], - "source": [ - "def plotSurface(models, target, f1, f2, ncontours=20, ax=None):\n", - " if ax is None:\n", - " _, ax = plt.subplots()\n", - " \n", - " def linspace(limits):\n", - " lmin, lmax = paddedRange(limits, padding=0)\n", - " return np.linspace(lmin, lmax)\n", - " x1 = linspace(data[f1])\n", - " x2 = linspace(data[f2])\n", - " X1, X2 = np.meshgrid(x1, x2)\n", - "\n", - " grid = {f1: X1.ravel(), f2: X2.ravel()}\n", - " for f in target:\n", - " if f in (f1, f2):\n", - " continue\n", - " grid[f] = target[f].values[0]\n", - " df = pd.DataFrame(grid)\n", - " \n", - " # first draw area of undesirability\n", - " model = models['In_Vitro_Upper']\n", - " Y = np.array(model.predict(df))\n", - " cs = ax.contourf(X1, X2, Y.reshape(len(X2), len(X1)), levels=[133, 135],\n", - " colors=['white', '#C4DFEB', '#73A7B8'], extend='both')\n", - " \n", - " targetPredictions = {response: model.predict(target).values[0]\n", - " for response, model in models.items()} \n", - " for idx, response in enumerate(models):\n", - " if response == 'In_Vitro_Upper':\n", - " continue\n", - " model = models[response]\n", - " levels = [targetPredictions[response]]\n", - " Y = np.array(model.predict(df))\n", - " CS = ax.contour(X1, X2,\n", - " Y.reshape(len(X2), len(X1)),\n", - " levels, colors=f'C{idx}')\n", - " ax.clabel(CS, inline=True, fontsize=10)\n", - " ax.set_xlabel(f1)\n", - " ax.set_ylabel(f2)\n", - " return ax" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "c3f029df", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", 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" + "cell_type": "code", + "execution_count": 13, + "id": "c7eb6589", + "metadata": { + "id": "c7eb6589", + "outputId": "cd4e3a61-d81a-4420-d27a-a789713231e0", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "corners = list(itertools.product([-1, 1], repeat=3))\n", + "\n", + "def cornerPosition(corner, offset=0.35):\n", + " return (corner[0] + offset*corner[2],\n", + " corner[1] + offset*corner[2])\n", + "\n", + "\n", + "def drawFace(ax, corners):\n", + " for i1, c1 in enumerate(corners[:-1], 1):\n", + " p1 = cornerPosition(c1)\n", + " for c2 in corners[i1:]:\n", + " differences = sum(c1i != c2i for c1i, c2i in zip(c1, c2))\n", + " if differences != 1:\n", + " continue\n", + " p2 = cornerPosition(c2)\n", + " ax.plot((p1[0], p2[0]), (p1[1], p2[1]), color='grey')\n", + "\n", + "def drawPredictions(ax, corners, data):\n", + " props = {\n", + " 'verticalalignment': 'center',\n", + " 'horizontalalignment': 'center',\n", + " 'fontsize': 12,\n", + " 'bbox': {'boxstyle': 'round', 'facecolor': 'wheat'}\n", + " }\n", + " for corner in corners:\n", + " row = data[(data['Temp'] == corner[0]) &\n", + " (data['Blending_Time'] == corner[1]) &\n", + " (data['Cooling_Time'] == corner[2])]\n", + " p = cornerPosition(corner)\n", + " text = f'{row[\"predicted\"].values[0]:.1f}'\n", + " ax.text(p[0], p[1], text, **props)\n", + "\n", + "def drawLabels(ax):\n", + " props = {\n", + " 'verticalalignment': 'center',\n", + " 'horizontalalignment': 'center',\n", + " 'fontsize': 12,\n", + " }\n", + " def plotLabel(p1, p2, label, left, right):\n", + " ax.text(p1[0], p1[1], left, **props)\n", + " ax.text(p2[0], p2[1], right, **props)\n", + " pmid = np.mean(list(zip(p1, p2)), axis=1)\n", + " ax.text(pmid[0], pmid[1], label, **props)\n", + "\n", + " # Temperatur\n", + " p1 = list(cornerPosition((-1, -1, -1)))\n", + " p2 = list(cornerPosition((1, -1, -1)))\n", + " p1[1] -= 0.35\n", + " p2[1] -= 0.35\n", + " plotLabel(p1, p2, 'Temp', '60', '75')\n", + " # Cooling Time\n", + " p1 = list(cornerPosition((1, -1, -1)))\n", + " p2 = list(cornerPosition((1, -1, 1)))\n", + " p1[0] += 0.5\n", + " p2[0] += 0.5\n", + " plotLabel(p1, p2, 'Cooling Time', '30', '180')\n", + " # Blending Time\n", + " p1 = list(cornerPosition((-1, -1, -1)))\n", + " p2 = list(cornerPosition((-1, 1, -1)))\n", + " p1[0] -= 0.5\n", + " p2[0] -= 0.5\n", + " plotLabel(p1, p2, 'Blending Time', '30', '180')\n", + "\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "drawFace(ax, corners)\n", + "drawPredictions(ax, corners, FFdesign)\n", + "\n", + "drawLabels(ax)\n", + "plt.axis('off')\n", + "plt.show()" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "target = pd.DataFrame(\n", - " {'Temp': 65, 'Blending_Time': 2.5, 'Cooling_Time': 150},\n", - " index=['target'])\n", - "\n", - "fig, axes = plt.subplots(ncols=2, figsize=[10, 5])\n", - "plotSurface(models, target, 'Temp', 'Blending_Time', ax=axes[0])\n", - "plotSurface(models, target, 'Temp', 'Cooling_Time', ax=axes[1])\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "ddb62642", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", 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" + "cell_type": "code", + "execution_count": 14, + "id": "f74be0a7", + "metadata": { + "id": "f74be0a7" + }, + "outputs": [], + "source": [ + "# ignore ValueWarning for Kurtosis-test due to small dataset\n", + "import warnings\n", + "warnings.simplefilter('ignore', category=UserWarning)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "targetNew = target.copy()\n", - "targetNew['Temp'] = [67]\n", - "fig, axes = plt.subplots(ncols=2, figsize=[10, 5])\n", - "plotSurface(models, targetNew, 'Temp', 'Blending_Time', ax=axes[0])\n", - "plotSurface(models, targetNew, 'Temp', 'Cooling_Time', ax=axes[1])\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "e660e393", - "metadata": {}, - "source": [ - "## Tolerance Designs" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "8b132672", - "metadata": {}, - "outputs": [], - "source": [ - "tolerances = [c for c in 'ABCDEFGHIJKLM']\n", - "factors = {tl: [1, 2] for tl in tolerances}\n", - "\n", - "Design = doe.frac_fact_res(factors, 4)\n", - "Design.index = range(1, len(Design) + 1)\n", - "Design = Design.astype(np.int64)" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "id": "2456b7e0", - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/html": [ - "
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Coef.Std.Err.tP>|t|[0.0250.975]
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"text/plain": [ - " A B C D E F G H I J K L M\n", - "1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", - "2 2 1 1 1 1 2 2 2 2 2 2 1 1\n", - "3 1 2 1 1 1 2 2 2 1 1 1 2 2\n", - "4 2 2 1 1 1 1 1 1 2 2 2 2 2\n", - "5 1 1 2 1 1 2 1 1 2 2 1 2 2\n", - "6 2 1 2 1 1 1 2 2 1 1 2 2 2\n", - "7 1 2 2 1 1 1 2 2 2 2 1 1 1\n", - "8 2 2 2 1 1 2 1 1 1 1 2 1 1\n", - "9 1 1 1 2 1 1 2 1 2 1 2 2 1\n", - "10 2 1 1 2 1 2 1 2 1 2 1 2 1\n", - "11 1 2 1 2 1 2 1 2 2 1 2 1 2\n", - "12 2 2 1 2 1 1 2 1 1 2 1 1 2\n", - "13 1 1 2 2 1 2 2 1 1 2 2 1 2\n", - "14 2 1 2 2 1 1 1 2 2 1 1 1 2\n", - "15 1 2 2 2 1 1 1 2 1 2 2 2 1\n", - "16 2 2 2 2 1 2 2 1 2 1 1 2 1\n", - "17 1 1 1 1 2 1 1 2 1 2 2 1 2\n", - "18 2 1 1 1 2 2 2 1 2 1 1 1 2\n", - "19 1 2 1 1 2 2 2 1 1 2 2 2 1\n", - "20 2 2 1 1 2 1 1 2 2 1 1 2 1\n", - "21 1 1 2 1 2 2 1 2 2 1 2 2 1\n", - "22 2 1 2 1 2 1 2 1 1 2 1 2 1\n", - "23 1 2 2 1 2 1 2 1 2 1 2 1 2\n", - "24 2 2 2 1 2 2 1 2 1 2 1 1 2\n", - "25 1 1 1 2 2 1 2 2 2 2 1 2 2\n", - "26 2 1 1 2 2 2 1 1 1 1 2 2 2\n", - "27 1 2 1 2 2 2 1 1 2 2 1 1 1\n", - "28 2 2 1 2 2 1 2 2 1 1 2 1 1\n", - "29 1 1 2 2 2 2 2 2 1 1 1 1 1\n", - "30 2 1 2 2 2 1 1 1 2 2 2 1 1\n", - "31 1 2 2 2 2 1 1 1 1 1 1 2 2\n", - "32 2 2 2 2 2 2 2 2 2 2 2 2 2" + "source": [ + "coefficients = ff_model.summary2().tables[1]\n", + "coefficients" ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "Design" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "id": "ef071fcc", - "metadata": {}, - "outputs": [], - "source": [ - "np.random.seed(1)\n", - "\n", - "# Prepare design\n", - "tolerances = [f'tl{c}' for c in 'ABCDEFGHIJKLM']\n", - "factors = {tl: [5, 10] for tl in tolerances}\n", - "Design = doe.frac_fact_res(factors, 4)\n", - "\n", - "# Randomize and create replicates\n", - "nrepeat = 100\n", - "Design = Design.sample(frac=1).reset_index(drop=True)\n", - "Design = Design.loc[Design.index.repeat(nrepeat)].reset_index(drop=True)\n", - "\n", - "# Run simulation\n", - "simulator = mistat.PowerCircuitSimulation(**{k: list(Design[k]) for k in Design})\n", - "result = simulator.simulate()\n", - "result = mistat.simulationGroup(result, nrepeat)\n", - "\n", - "Design['response'] = result['volts']\n", - "Design['group'] = result['group']\n", - "\n", - "# calculate mean, standard deviation, and total cost for each group\n", - "def groupAggregation(g):\n", - " # calculate cost of design (tolerance 10 = 0.5, tolerance 5 = 1)\n", - " groupTolerances = g.iloc[0,:][tolerances]\n", - " tc = 0.5 * sum(groupTolerances == 10) + 1 * sum(groupTolerances == 5)\n", - " return {\n", - " 'Mean': g['response'].mean(),\n", - " 'STD': g['response'].std(),\n", - " 'MSE': g['response'].var(ddof=0),\n", - " 'TC': tc,\n", - " **groupTolerances,\n", - " }\n", - "results = pd.DataFrame(list(Design.groupby('group').apply(groupAggregation, include_groups=False)))" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "id": "63e2bb30", - "metadata": {}, - "outputs": [], - "source": [ - "table = results[['Mean', 'STD', 'MSE', 'TC']]\n", - "table.index = range(1, len(table) + 1)\n", - "table = table.round({'Mean': 2, 'STD': 4, 'MSE': 4})\n", - "table['TC'] = table['TC'].astype(np.int64)" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "id": "c4f272ed", - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/html": [ - "
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27229.434.359718.817310
29229.804.410919.261710
31230.994.655221.454210
15230.854.736722.211910
30230.914.777422.59549
7229.934.845223.241510
3230.034.856323.34779
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10229.935.263927.43149
23231.295.346428.298010
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2230.595.597931.02299
25230.245.705632.22799
22229.735.717232.35999
1229.505.724432.44139
17230.445.797333.27269
8230.885.892234.370610
20230.465.980035.402410
19230.276.031036.009210
6230.466.138537.304710
11230.356.217138.26649
16229.506.281439.060810
18230.196.294939.229910
12229.776.542342.37429
28229.526.624143.439610
5230.016.814545.97269
9230.507.193351.226010
26230.267.202251.35286
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\n" + }, + "metadata": {} + } ], - "text/plain": [ - " Mean STD MSE TC\n", - "24 230.32 3.5976 12.8130 13\n", - "27 229.43 4.3597 18.8173 10\n", - "29 229.80 4.4109 19.2617 10\n", - "31 230.99 4.6552 21.4542 10\n", - "15 230.85 4.7367 22.2119 10\n", - "30 230.91 4.7774 22.5954 9\n", - "7 229.93 4.8452 23.2415 10\n", - "3 230.03 4.8563 23.3477 9\n", - "21 229.73 4.9575 24.3307 9\n", - "4 229.60 5.1094 25.8444 9\n", - "10 229.93 5.2639 27.4314 9\n", - "23 231.29 5.3464 28.2980 10\n", - "14 230.08 5.4595 29.5084 10\n", - "13 230.70 5.5159 30.1212 9\n", - "32 229.79 5.5959 31.0005 9\n", - "2 230.59 5.5979 31.0229 9\n", - "25 230.24 5.7056 32.2279 9\n", - "22 229.73 5.7172 32.3599 9\n", - "1 229.50 5.7244 32.4413 9\n", - "17 230.44 5.7973 33.2726 9\n", - "8 230.88 5.8922 34.3706 10\n", - "20 230.46 5.9800 35.4024 10\n", - "19 230.27 6.0310 36.0092 10\n", - "6 230.46 6.1385 37.3047 10\n", - "11 230.35 6.2171 38.2664 9\n", - "16 229.50 6.2814 39.0608 10\n", - "18 230.19 6.2949 39.2299 10\n", - "12 229.77 6.5423 42.3742 9\n", - "28 229.52 6.6241 43.4396 10\n", - "5 230.01 6.8145 45.9726 9\n", - "9 230.50 7.1933 51.2260 10\n", - "26 230.26 7.2022 51.3528 6" + "source": [ + "fig, ax = plt.subplots(figsize=(5, 2))\n", + "coefficients['Coef.'][1:][::-1].plot.barh(ax=ax)\n", + "plt.show()" ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "table.sort_values(by='MSE')" - ] - }, - { - "cell_type": "markdown", - "id": "a8df0599", - "metadata": {}, - "source": [ - "## Case Studies" - ] - }, - { - "cell_type": "markdown", - "id": "b69e19ed", - "metadata": {}, - "source": [ - "### The Quinlan Experiment" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "id": "00683149", - "metadata": {}, - "outputs": [], - "source": [ - "flexprod = mistat.load_data('FLEXPROD')\n", - "flexprod.index = range(1, len(flexprod) + 1)" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "id": "bb0ed4d6", - "metadata": {}, - "outputs": [ + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "e0843d3c", + "metadata": { + "id": "e0843d3c" + }, + "outputs": [], + "source": [ + "# add additional feature that identifies the center point\n", + "FFdesign['center'] = [1 if t == 0 else 0 for t in FFdesign['Temp']]\n", + "# and include it in the model\n", + "formula = 'Viscosity ~ (Temp + Blending_Time + Cooling_Time)**2 + center'\n", + "ff_model_center = smf.ols(formula=formula, data=FFdesign).fit()" + ] + }, { - "data": { - "text/html": [ - "
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Coef.Std.Err.tP>|t|[0.0250.975]
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\"min\": 436.69236875220224,\n \"max\": 5260.76904688624,\n \"num_unique_values\": 7,\n \"samples\": [\n 5260.76904688624,\n 854.442368752203,\n 511.9423687522012\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}" + } + }, + "metadata": {}, + "execution_count": 18 + } ], - "text/plain": [ - " A B C D E F G H I J K L M N O SN\n", - "1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6.26\n", - "2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 4.80\n", - "3 1 1 1 2 2 2 2 1 1 1 1 2 2 2 2 21.04\n", - "4 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 15.11\n", - "5 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 14.03\n", - "6 1 2 2 1 1 2 2 2 2 1 1 2 2 1 1 16.69\n", - "7 1 2 2 2 2 1 1 1 1 2 2 2 2 1 1 12.91\n", - "8 1 2 2 2 2 1 1 2 2 1 1 1 1 2 2 15.05\n", - "9 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 17.67\n", - "10 2 1 2 1 2 1 2 2 1 2 1 2 1 2 1 17.27\n", - "11 2 1 2 2 1 2 1 1 2 1 2 2 1 2 1 6.82\n", - "12 2 1 2 2 1 2 1 2 1 2 1 1 2 1 2 5.43\n", - "13 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1 15.27\n", - "14 2 2 1 1 2 2 1 2 1 1 2 2 1 1 2 11.20\n", - "15 2 2 1 2 1 1 2 1 2 2 1 2 1 1 2 9.24\n", - "16 2 2 1 2 1 1 2 2 1 1 2 1 2 2 1 4.68" + "source": [ + "coefficients = ff_model.summary2().tables[1]\n", + "coefficients" ] - }, - "execution_count": 37, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "flexprod" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "id": "7973614b", - "metadata": {}, - "outputs": [ + }, { - "data": { - "image/png": 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", - "text/plain": [ - "
" + "cell_type": "code", + "execution_count": 19, + "id": "64370e69", + "metadata": { + "id": "64370e69" + }, + "outputs": [], + "source": [ + "# restore default setting\n", + "warnings.simplefilter('default', category=UserWarning)" ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "flexprod = mistat.load_data('FLEXPROD')\n", - "mistat.mainEffectsPlot(flexprod, 'SN', col_wrap=8)" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "id": "40e4fce0", - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/plain": [ - "Intercept 12.091875\n", - "A -1.144375\n", - "B 0.291875\n", - "C 1.141875\n", - "D -0.806875\n", - "E 3.598125\n", - "F 1.106875\n", - "G 2.374375\n", - "H -0.813125\n", - "I 0.489375\n", - "J -0.334375\n", - "K -1.189375\n", - "L 0.404375\n", - "M 0.219375\n", - "N 0.278125\n", - "O 0.215625\n", - "dtype: float64" + "cell_type": "markdown", + "id": "8ae0f382", + "metadata": { + "id": "8ae0f382" + }, + "source": [ + "### A Quality by Design Case Study: The Desirability Function" ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "for c in flexprod.columns:\n", - " if c == 'SN':\n", - " continue\n", - " flexprod[c] = [-1 if v == 1 else 1 for v in flexprod[c]]\n", - "model = smf.ols('SN ~ A+B+C+D+E+F+G+H+I+J+K+L+M+N+O', data=flexprod).fit()\n", - "model.params" - ] - }, - { - "cell_type": "markdown", - "id": "e9abb8ac", - "metadata": {}, - "source": [ - "### Computer Response Time Optimization" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "id": "d0ce85e2", - "metadata": {}, - "outputs": [], - "source": [ - "compuresp = mistat.load_data('COMPURESP')\n", - "compuresp.index = range(1, len(compuresp) + 1)" - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "id": "1ba543ca", - "metadata": {}, - "outputs": [ + }, { - "data": { - "text/html": [ - "
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" + "cell_type": "code", + "execution_count": 20, + "id": "17315591", + "metadata": { + "id": "17315591" + }, + "outputs": [], + "source": [ + "# define functions that generate a variety of profiles\n", + "# note that the function returns a function profile(x)\n", + "def rampProfile(lower, upper, reverse=False):\n", + " def wrapped(x):\n", + " condlist = [x < lower, x >= lower, x > upper]\n", + " funclist = [0, lambda x: (x-lower)/(upper-lower), 1]\n", + " if reverse:\n", + " funclist = [1, lambda x: (upper-x)/(upper-lower), 0]\n", + " return np.piecewise(x, condlist, funclist)\n", + " return wrapped\n", + "\n", + "def triangleProfile(lower, middle, upper):\n", + " def wrapped(x):\n", + " condlist = [x < lower, x >= lower, x >= middle, x >= upper]\n", + " funclist = [0, lambda x: (x-lower)/(middle-lower),\n", + " lambda x: (upper-x) / (upper-middle), 0]\n", + " return np.piecewise(x, condlist, funclist)\n", + " return wrapped\n", + "\n", + "desirabilityProfiles = {\n", + " 'Active_Assay': rampProfile(95, 105),\n", + " 'In_Vitro_Lower': rampProfile(80, 125),\n", + " 'In_Vitro_Upper': rampProfile(110, 135, reverse=True),\n", + " 'D90': triangleProfile(1, 1.5, 2),\n", + " 'A_Assay': rampProfile(95, 105),\n", + " 'B_Assay': rampProfile(95, 105),\n", + " 'Viscosity': triangleProfile(4000, 5000, 5750),\n", + " 'pH': triangleProfile(4.7, 5.2, 5.6),\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "3e38c61d", + "metadata": { + "id": "3e38c61d", + "outputId": "be597398-f221-4a53-b7e5-0cb40b220e73", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 407 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
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\n" + }, + "metadata": {} + } ], - "text/plain": [ - " F B C D E A G H Mean SN\n", - "1 1 1 1 1 1 1 1 1 4.65 -14.66\n", - "2 1 1 2 2 2 2 2 2 5.28 -16.37\n", - "3 1 1 3 3 3 3 3 3 3.06 -10.49\n", - "4 1 2 1 1 2 2 3 3 4.53 -14.85\n", - "5 1 2 2 2 3 3 1 1 3.26 -10.94\n", - "6 1 2 3 3 1 1 2 2 4.55 -14.96\n", - "7 1 3 1 2 1 3 2 3 3.37 -11.77\n", - "8 1 3 2 3 2 1 3 1 5.62 -16.72\n", - "9 1 3 3 1 3 2 1 2 4.87 -14.67\n", - "10 2 1 1 3 3 2 2 1 4.13 -13.52\n", - "11 2 1 2 1 1 3 3 2 4.08 -13.79\n", - "12 2 1 3 2 2 1 1 3 4.45 -14.19\n", - "13 2 2 1 2 3 1 3 2 3.81 -12.89\n", - "14 2 2 2 3 1 2 1 3 5.87 -16.75\n", - "15 2 2 3 1 2 3 2 1 3.42 -11.65\n", - "16 2 3 1 3 2 3 1 2 3.66 -12.23\n", - "17 2 3 2 1 3 1 2 3 3.92 -12.81\n", - "18 2 3 3 2 1 2 3 1 4.42 -13.71" + "source": [ + "fig, axes = plt.subplots(ncols=4, nrows=2, figsize=[8, 4])\n", + "for ax, response in zip(itertools.chain(*axes), desirabilityProfiles):\n", + " xmin, xmax = paddedRange(df[response], padding=0.1)\n", + " x = np.linspace(xmin, xmax, 100)\n", + " y = desirabilityProfiles[response](x)\n", + " ax.plot(x, y)\n", + " ax.set_ylim(0, 1)\n", + " ax.set_xlabel(response)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" ] - }, - "execution_count": 41, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "compuresp" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "id": "878672b5", - "metadata": {}, - "outputs": [ + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "e16b7ef9", + "metadata": { + "id": "e16b7ef9", + "outputId": "6bedd67a-d1d6-4f60-9022-4f24e012c464", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.33976276040548653" + ] + }, + "metadata": {}, + "execution_count": 22 + } + ], + "source": [ + "def overallDesirability(x):\n", + " x = np.array(list(x))\n", + " if any(xi == 0 for xi in x): # handle 0-desirability case\n", + " return 0\n", + " return stats.gmean(x)\n", + "\n", + "def calculateDesirability(target, models, desirabilityProfiles):\n", + " targetPredictions = {response: model.predict(target).values[0]\n", + " for response, model in models.items()}\n", + "\n", + " # determine overall desirability for targetPredictions\n", + " targetDesirabilities = {response: float(desirabilityProfiles[response](value))\n", + " for response, value in targetPredictions.items()}\n", + "\n", + " targetDesirabilities['overall'] = overallDesirability(targetDesirabilities.values())\n", + "\n", + " return {\n", + " 'individual': pd.DataFrame({'predictions': targetPredictions,\n", + " 'desirability': targetDesirabilities}),\n", + " 'overall': overallDesirability(targetDesirabilities.values()),\n", + " }\n", + "\n", + "models = {}\n", + "for response in desirabilityProfiles:\n", + " formula = f'{response} ~ (Temp + Blending_Time + Cooling_Time)**2'\n", + " models[response] = smf.ols(formula=formula, data=df).fit()\n", + "\n", + "target = pd.DataFrame(\n", + " {'Temp': 65, 'Blending_Time': 2.5, 'Cooling_Time': 150},\n", + " index=['target'])\n", + "\n", + "targetDesirabilities = calculateDesirability(target, models, desirabilityProfiles)\n", + "targetDesirabilities['overall']" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "ce8bb7e1", + "metadata": { + "id": "ce8bb7e1", + "outputId": "b03f1386-e0ef-4b44-c5c0-1558c07860c2", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 207 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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bUnGj0r5OGFFC0UQrDlxGWpEcns4Sow11qqPVarFz507s3LnTqB9yAJgzNAa+LlJkl1Th2/2XjfrahPDl/T8uokatr+o0pmtro762qdqjSCjAx4/GgeOATafzcTizxGivTQghtuDPswU4mFkCqUiABaOMe+XZlMdaE3uFIibAFWXVasy3sxNGlFA0QV5pNb7YqT8b+tZDMfBwlhj19QUCAeLj4xEfH9/k5eDvx81RjLdr6zZ/tScTuTfsc9IQsR3/XCjEztQiiAQc5o+MNfpQJ1O2xw6t3fHsAyEAgLd/Pw+lhq4aEkIIAMgVanxUu1jwS/0i0Mbb2aivb8q+XSwU4ONHY8FxwMZT+TiSZT/DzCmhaIKP/r4IpUaHB8I8Maqz8VdoFIlEGDlyJEaOHNms5eDv5+EOAegZ7gWlRof3/jhvl5OGiG2oUWnxwZ/6L5z/6xOGSD8Xo2/D1O3x9SFR8HGR4nJJFVbQVUNCCAEA/GdHBorlSrTxcsLkvmFGf31T9+2dgj3wVHd9Nar3/7gAtbbl5WmtASUUjbQv/Tq2XyiCUMDhg0eMfzbUHDiOw7wRsRALOexJu46dqbQ2BbFOy/ZlIb9MX2Vt+oBIvsNpFlcHMd4eph82+dWeLFqbghBi99IK5Vh9JAcAMG9EbIsWsOPTzCFR8HASI61Ijh9r1yuzdZRQNIJKo8MHf1wAAIxPaIMof+OfDTWXCF8Znn9Qn/Hrr7jQUAtiXfJKq7F8XxYA4K1hMXCUWOcXDgA8Eh+Ibm08UKPW0gRtQohdY4xh3l8XoNUxJLX3N8r6Xnxxd5JgZu3aFP/ZkW4XFf0ooWiE/x3JweWSKnjLJHhlkOnOhqpUKixcuBALFy5s8XLw9zJtQAR8XKS4cqMaqw7lmGw7hJjC/L9TodLo0DPcC0Nj/U22HXO0R47j8P4j7SHggL/OFlBZZ0KI3dp+oQiHMm9AIhLgrWHGLXpzK3Mda43tFoS4Vm6QKzX4bHuaybZjKSihuI8blUp8sUs/EXvWkGi4OrR8VcV7USqVUCpNm8nKpCLMTtJnzl/uykBxhcKk2yPEWA5nlWDbhUIIBRzee7i9yYcemqM9tg90w5O1423n/XkRWh3NbSKE2BeFWov5W2rnxfUOQ5Cnk0m3Z46+XSjg8P4j+mI4vyTn4cK1cpNuj2+UUNzH5zszIFdo0D7QFaO7GLcs5e3EYjGmTZuGadOmGWU5+HsZ1akV4oPcUaXSGhaOIcSSaXUMH/2lHxY0rkewyYcemrM9vj44Ci4OIlwsqMBvdrggEiHEvq06lIO80hr4uzrgpf7hJt2WOfv2LiGeeDg+EIzpTxjZcjEcSijuIaNIjp+O5wIA3hneDkKBac+GchwHLy8veHl5mfzMq0DA4d3h+kuKvyZfxcVrFSbdHiEt9dupq7hYUAEXBxFeSWxr8u2Zsz16Okvwcu3k8k//SUOVUmPS7RFCiKUoqVTi6z2ZAIBZSVFwkhi/8tKtzNm3A8DspChIRQIcyy7F9guFJt8eXyihuIf5W1Kh1TEMae+HB8K8+A7H6LqEeGJYXAAYAz7ekmrTmTOxblW3jEF9eUAkPI28BowleLZnCEK8nHBdrjRMOieEEFv3+c50yJUaxLVyw8iOxi/Jz7fWHk54obe+GM7CrZeg0thmGVlKKO7iUGYJ9qZdh0jAYc5Q000OupVWq8Xx48dx/Phxo6/eeDezk6IhEQpwsHZ/CbFEKw5cRrFciWBPJzzbM8Qs2zR3e5SKhJg7VD+3acWByygsp7lNhBDbllksx7rjeQD0VfsEJh4JAvBzrDWlXzi8ZRLk3KjGT8dss4wsJRQN0OmYoYTj0w+EINTIqzTejVarxdatW7F161azfciDvZwwoVcbAMCCrak0IZRYnGK5At/WLvw2OykaUpF5ysTy0R6HtPdH1xAPKNQ6LNlBc5sIIbZt4dZL0OoYBrUz30gQPvp2mfTfobpf7MpAhUJtlu2aEyUUDfg9JR8XrlXARSrCywPNt2iWQCBAu3bt0K5dO6MvB38vU/tFwM1RjPSiSpoQSizO5zszUK3SomOQOx6KM12Z2Nvx0R45jsObteUSNyRfxaVCmttECLFNxy7fwM7UYggFHObUXp01B76OtZ7oFoRwH2fcrFZj2V7bG9ZKCcVtFGotFv+TDgB4sX+4Wcdqi0QijBkzBmPGjDHJcvB34+YkxrT+EQCAJTvSUaOixe6IZcgsluPnE/rL4W8+FGPWFer5ao+dgz3wUJw/dAxYtPWS2bZLCCHmwhjDgtr+TX+gLTPbtvnq20VCAebWDqH//mA2CsprzLZtc6CE4jZrjl5Bfpm+dNlzvUL5DsdsnkkIQSt3RxRWKLDqcDbf4RACAFi0Lc1wObx7qCff4ZjNzCHREAk47Em7jsNZJXyHQwghRrX1fCFS8srgJBFiRqL5RoLwbWCML7qHekKp0eHzHRl8h2NUlFDcorxGjf/Wli57bVBbOIjNM1bbEjiIhXhjiH5837I9WbhZZbrVIwlpjOQrpdhxsQgCTl92z56EejvjqR76xe4WbUujCmyEEJuh1urwaW3Vvhd6h8HXxYHniMyH4/4d3vVrch4yiuQ8R2Q8lFDc4pt9WSirVqOtn8zki9g1RK1WY8mSJViyZAnUavNP2BkR3woxAa6QKzX4em+m2bdPSB3GGBZt1X/hjOkShAhf0y5i1xC+2+P0AZFwkghxJq8M287bbu1yQoh9+eVkHrJLquDlLMELfcLMvn2++/bOwR5Iaq8f1vrJdtspvkEJRa2iCgW+P6Qf6jNrSLTJF7FrCGMMcrkccrmclzOSAgGHWbVnglcf0Q/9IoQPuy8V43hOKaQiAV4ZxM/lcL7bo4+LFJNqa5d/uj0NGq1t1i4nhNiPGpUWX+zUD/WZPiACMqn55jDU4btvB4CZSVEQCjjsuFiEkzmlvMRgbJRQ1PpiVwYUah26hnhgYIwvLzGIRCJMnjwZkydPNutEoVv1a+uDHqGeUGl0+HxHOi8xEPum1THD5fCJvUIR4ObISxyW0B5f6B0KL2cJLpdU4ZeTVIGNEGLdvj+UjWK5EkGejniqh3nWFLqdJfTt4T4yPN5VPxJm0bZLNjGslRIKANklVYZKMrOHRpu1ksytBAIB/P394e/vb9ZSZrfiOA6za8f3/Xbqqk2N7yPW4Y8z+bhUKIergwgv9g3nLQ5LaI8uDmJMG6CvwPbFrnQo1FSBjRBincqqVVi+T18u9fVBUZCI+OlXLaFvB4AZA9tCKhLgRM5Nm1hYmBIKAIv/0VeSGRDti25t7KeSzN10DvbAkPZ+0DHgs39sZ3wfsXwqje7fss39IuDmJOY5Iv491SMYrdwdUVShxOrDOXyHQwghzbJsXxbkCg2i/V3wSHwg3+Hwzt/NwbCw8KJtl6Cz8oWF7T6hOJ9fjr/OFoDjgJlD+K0ko9VqkZKSgpSUFLOt3ng3bwyOgoADtl8oQkpeGa+xEPux7ngurt6sga+LFBN6tuE1Fktpj1KREK8O0ldg+3pvFsprbG+FVUKIbSssV+CHQzkAgFlJURDwME+1jqX07QDwYt9wuDiIcKlQjj/OXOM1lpay+4Sibob9I/GBiAlw5TUWrVaLzZs3Y/Pmzbx/yCP9XDCqs35836fbaXEtYnpVSg2+3K2frPfywEg4Svgt22xJ7fHRTq0Q6StDeY0a3+yzvRVWCSG27YtdGVBqdOjWxgP9o/iZp1rHkvp2dycJptQO7V2yIx0qjfUW37DrhOLo5RvYn34dIgGH12rPAPJJIBAgMjISkZGRvI7rq/NKYiQkQgEOZd7AwQxaXIuY1vcHs1FSqUKIlxPGdgviOxyLao9CAWe4grrqUA6K5Qpe4yGEkMbKLqnCLyf181RnJfE3T7WOJfXtADCxVxt4y6TILa3Gz7XvkzXi/53kCWMMn2yrXfa9exBCvJx5jkhfeeCpp57CU089xVvlgVu19nDCuAf0i2t9st02qhAQy3SzSoVv918GoF9UUizkv2uytPY4qJ0fOgW7o0atxX930zoxhBDrYGnzVC2tb3eSiPDyQH3xjaW7MlCjss7iG/x/a/NkV2oxTuWWwUEswMsD7GfZ96aa2j8CThIhzl4tp8W1iMks25cFuVKDmABXPNyBJus1hOM4zBqir8C27ngu8kqreY6IEELurW6eKqCfm0ka9kS3YAR5OuK6XIlVh7P5DqdZ7DKhuL3Ova+r/Sz73lTeMikmPRgKQF/xiRbXIsZWWK4wVC+aNYTfyXqWLiHcC70jvaHWMiyhdWIIIRau7lhrRMdAtAvkd56qJZOIBIah98v3ZqG82vqKb9hlQvHHmXykFenr3E/pw1+d+9up1Wp8+eWX+PLLL3lZDv5uJvUJg4eTGFnXq7DxVD7f4RAb88WudMNkvX5RPnyHY2Cp7bHuKsXvKfm4VFjBczSEENKwo5dvYJ8FzVOtY6l9+yPxrRDt74IKhQbL91tf8Q27SyhUGp3hzN6UfuEWVeeeMYbS0lKUlpZa1HwFVwcxXuqnH9/3+U5aXIsYz+XrlYYVoC1hst6tLLU9xrV2w7C4ADAGfLad1okhhFieW+epju1mGfNU61hq3y4UcIZhYasOZaOowrqKb9hdQrH+RC7ySvV17if2DOU7nHpEIhEmTpyIiRMnWsREoVs9kxCCADcHXCtXYM3RK3yHQ2zE4h3p0OoYBlrIZL1bWXJ7fG1wWwgFHHamFiP5Sinf4RBCSD07LhYZ5qnOGGhZ81QtuW8fGOOLLiEeUKh1WLorg+9wmsSuEooqpcbwB5puAXXubycQCBAcHIzg4GCLKGV2KwexEK8k6juFr/ZkQq6wnMuExDqdu1qOv2sXlXyD50UlG2LJ7THcR4bHu+rXiVm0Nc2izrIRQuzbrfNUn7PAeaqW3Lfri2/ovw/Xn8hDdkkVzxE1nmW9kyZ2a537Jyygzr21Gd25NcJ8nHGzWo0VtSU+CWmuT2oXTBxhAYtKWqOXB0ZCKhLgeE4p9qZd5zscQggBAGw6nY+M4kq4OYoxua/lzFO1Fj3CvNA/ygdaHcPif6xnWKvdJBSlVSp8U3sQ/PrgKIuoc387nU6HCxcu4MKFC9DpLK+akkgowMza8X0rD2bjulzJc0TEWh3KLMGBjBKIhRxet9BSgpbeHgPcHDGhZxsAwKJtl6DV0VUKQgi/FGot/lM3T7VvONwcLWeeah1L79uBujmFwF9nC3Duajnf4TSK5R1Vm8hXezJRqdSgfaArhscF8B1OgzQaDTZs2IANGzZAo9HwHU6DkmL9ER/kjmqVFl/utq7xfcQy6HQMC7fqr06M6xGCIE8nniNqmDW0xxf7hcPVQYRLhXJsTqEKbIQQfq05egX5ZTXwd3XAxF5t+A6nQdbQt8cEuGJkx1YA/r2ab+nsIqHIK63Gj0f0E4lnJ0VbbJ17juMQEhKCkJAQi6p2cyuO4zA7SX9G+adjucixovF9xDJsOV+Ac/nlcJYIMW1ABN/h3JU1tEd3JwlerK3AtvifdCg1VIGNEMKPCoUa/92TCQB4dVAkHMSWNU+1jjX07QDw2qC2EAs5HMgowcGMEr7DuS+7SCiW7EiHSqtDz9pFoSyVWCzGhAkTMGHCBIjFlneZsE7PcG/0besDjY5hMS2uRZpArdUZSp2+0CcM3jIpzxHdnbW0xwk928DPVYr8shrDiRNCCDG3b/ZloaxajQhfGUZ3bs13OHdlLX17kKcTxvUIAQAs2JoKnYUPa7X5hOLCtXL8XjsUYO7QGIvORq3J7NrxfX+euYazV8v4DodYiXXHc5FzoxreMgkm9Q7jOxyb4CgR4tVE/aJR/92TifIaqsBGCDGvwnIFvjuYDQCYNSQKIgucp2qNpg+IgEwqwoVrFfjz7DW+w7knm/+LL9x6CYwBD8cHIq61G9/h2Ix2ga54tHZ838dbUqlsJbkvuUKNL3bq593MSGwLmdSy6n9bs8e6tEakrwxl1Wos22t9K6wSQqzbf3akQ6HWoWuIBwa18+M7HJvhJZNiSl/9ybdPt6dZ9LBWm04oDmRcN1SSmWmhlWRupVarsXz5cixfvtyiloO/m9cGt4VEJMDRy6XYk1bMdzjEwn27/zJuVKkQ5u1sFWWbrak9ioQCzBkaDQD4/lA28stqeI6IEGIv0grl+DU5DwAw9yHLHwliTX07ADz3YCh8XaS4etOyh7XabEKh1THM/zsVgL6STLCXZVaSuRVjDEVFRSgqKrKKM/6tPZwwsbZs5YItl6DRWmb5NcK/wnIFVhzQl22elRRtkWWbb2dt7XFAtC96hHpCpdFh8XbrqV1OCLFui7Zdgo4BQ2P90SXEg+9w7sva+nYniQivDdIPa/1ydybKqlU8R9Qwy/9Wb6aNp67iUqEcLg4ii1v2/W5EIhGefvppPP300xa3HPzdvNQ/Au5OYmQUV+LX5Kt8h0Ms1Gf/pBkuhw9pbx2Xw62tPXIchzcfigEAbDydj/P51lG7nBBivQ5nlmD3pWKIBBxmJUXzHU6jWFvfDgBjugYhys8F5TVq/Hd3Jt/hNMgmE4oalRaf1a4uOH1ABDycJTxH1DgCgQDh4eEIDw+3uOXg78bNUYzpA/QJ2+J/0lGptMyazoQ/F66V47dT+mTzrWGWfzm8jjW2x/ggd4zoGAgA+Ojvi1Zx9o0QYp20OoYPDSNBghHq7cxzRI1jjX27UMBh7kP6hG31kRzk3qjmOaI7Wcc72UTf7r+MogolWns44tmENnyHY/OeeSAEbbycUFKpxHKaEEpuwZh+6GFdYYROwZZ/OdzazRwSZZjbtDOV5jYRQkzjt+SrSC2ogKuDCK/UVpojptO3rQ96R3pDrWVYuC2V73DuYHMJRUF5DZbv0x/UzkqKttiFVRqi0+mQnp6O9PR0i10OviESkQBza4darDhwmSaEEoOdqcU4nHUDEpEAs4ZYfmGEW1lre2zt4YTnHwwFoK/AptJYT+yEEOtQpdTg09qRIC8PjLSakSCA9fbtdcNaBRyw5VwhjmeX8h1SPTaXUHy6LQ01ai26hHjg4Q4BfIfTJBqNBuvWrcO6dessdjn4uxnczg/dQz2h1OiwaKt1LBNPTEup0WL+3xcBAM8/GIogT8svjHAra26PL/ULh7dMiuySKvzvSA7f4RBCbMyyvVm4LlcixMsJzySE8B1Ok1hz3x4T4IonugcDAOb9dcGiFruzqYQiJa8MG0/rF7F7d3g7qxmrXYfjOAQGBiIwMNAqY9e/58AfZ67hRI5lZc7E/FYfzkHOjWr4uEgxtX8E3+E0mTW3RxcHMWYO0Q9B+GJXBm5UKnmOiBBiK/JKq/FtbdW+uUNjIBVZz0gQwLr7dgB4bVBbuEhFOJ9fYZifaAlsJqHQ6Rg++PMCAGBU51aID3LnN6BmEIvFeOGFF/DCCy9Y9HLwdxPbyg1ju+rXF/jgT8vKnIl5lVQq8eUufSWKWUOirHIRO2tvj491CUL7QFfIFRos3pHOdziEEBsx/2/9UMpeEV5WU7XvVtbet3vLpJg+UH+SbtG2NMgVlrGWhs0kFBtP5+N0bhmcJELMGmIdpcts0RtDogyZc91CN8T+/GdHOuRKDTq0dsPozq35DscuCQUc3nu4PQBg/fFcKiNLCGmxw5kl2HahEEIBh3eHt7fKM/y2YHzPNgj1dkZJpRJLd2XwHQ4AG0koKhRqLKwdtz99QCT83Rx4jsh+ecukmJGoLyP7ybY0lFdbRuZMzGtK33AMjfXHu8PbQSCgLxy+dA/1xMPxgdAx4N3N5+mqISGk2dRaHd77Qz8S5OkewYjyd+E5IvslFQnx7sPtAACrDuUgs1jOc0Q2klAs3ZmBkkolwryd8dyDbfgOp9nUajW+//57fP/991axHPzdjO/ZBhG+MtyoUmHJDlqx1x4FeTph2dNd0LWNJ9+hNJuttMe3HoqBk0SIU7n/zjEjhJCm+uFQDjKKK+HpLMGrg6y3TKyt9O39o3yRGOMLjY7h/T/4X3fI6hOKS4UVWHU4BwDw7sPtrG5y0K0YY8jLy0NeXh7vH4yWEAsFmPeIfqjFj0ev0FALYpVspT36uzng5YH6q4YLt6aivMZ6v0AJIfwoLFfg8536uVhzhkbD3cl6ysTezlb6dgB4Z3g7SEQCHMwswd/nCniNxaoTCp2O4e1N56HVMQxp74d+Ub58h9QiIpEIY8eOxdixY61mOfi76RnhbRhq8Q4NtSBWyJba43O9QhHu44ySShU+205XDQkhTfPR3xdRpdKic7A7HrPyeXG21LeHeDnjxb7hAIB5f17kdYK2VScUG5Kv4uSVm3CSCA2TD62ZQCBAdHQ0oqOjrWY5+Ht566EYOEuEOJ1bhnUncvkOh5AmsaX2KBEJ8OHIWADAmmNXkJJXxm9AhBCrsTetGH+dLYCAA+aNiLX6eXG21LcDwIv9wtHGywnFciWW8FjRz2rfyRuVSizYql96/JXESAS6O/IcEbmdv5sD3qhdHXnh1ksorlDwHBEh9qtnuDdGdW4FxoA3N56DRms9K8QSQvhRo9Linc3nAQATe4UitpUbzxGR2zmIhZg3Qn/CaPXhHJy7ys8wc6tNKD786yJuVqsR7e+Cib1C+Q7HKHQ6HXJycpCTk2NVy8Hfy7MJbdChtRvkCg3m/XWR73AIaTRbbI9vPRQDdycxLhZU4PtD2XyHQwixcJ/vSkdeaQ0C3RzwmhVPxL6VLfbtfdr6GIaZz/7tLNQ8nDCyyoRiT1oxfk+5BgEHLBzdAWKhVe7GHTQaDVavXo3Vq1db3XLwdyMUcPj40TgIOOCvswXYlVrEd0iENIottkcvmRRvDo0BACz+Jx05JVU8R0QIsVTn88ux8oD+xMO8EbFwtsIFShtii307ALw7vB3cHPUnjOr+buZkdUfiVUoN3t707+W3jla4IvbdcBwHHx8f+Pj42NRiMbGt3DCpdxgA4M1N56jKDLEKttoex3RtjV4RXlBqdJj921kqmEAIuYNaq8PMDWeh1TE8FOePxHbWtyL23dhq3+7jIsU7w/VrU3y+Mx3ZZj5hZHUJxYKtqcgvq0FrD0e8Ptg2Lr/VEYvFeOmll/DSSy9Z5XLw9/LaoLYI9XZGUYUSH/+dync4hNyXrbZHjuOwcFQHOIqFOJZdSgUTCCF3WLY3C6kFFfBwEuODR2L5DseobLVvB4DRnVuhd6Q3lBod5v9t3mHmVpVQHMwowZqj+i+/RaM7wEliG5ff7IGDWIhFozuA44CfT+Zhf/p1vkMixG4FeTphZm3BhI//TkVeaTXPERFCLMWlwgp8uTsDAPD+I+3h4yLlOSLSWBynH2Y+LC7AMFHbXKwmoahQqDFrwxkAwDMPhKBXhDfPEZGm6h7qifEJbQAAszacRXk1DX0ihC8TerZB91BPVKm0eP2XM9DS0CdC7J5So8WrP5+BWsuQGOOHR+ID+Q6JNFGQpxO+GtfZ7NVPrSahmPfnRVwrVyDY0wlzhkbzHY5JqNVq/Pjjj/jxxx+tejn4e5mVFIUwb2cUVigMpegIsUS23h4FAg6Lx8TDWSLE8ZxSfH+Qqj4RYu/+syMDqQUV8HSWYMGoOJuaY1DH1vt2vlhFQvHX2WvYkHwVAg74bEy8zVQauB1jDJcvX8bly5etfjn4u3GSiLBkbEcIBRz+OHMNm1Py+Q6JkAbZQ3sM8nTC27WT+D7dnoaL1yp4jogQwpfj2aX4Zn8WAODjR+NsdqiTPfTtfLD4I/P8shq8ufEcAOClfhHoHurJc0SmIxKJ8Oijjxp+tlUdg9wxrX8EvtiVgbc3nUfnYA8EeTrxHRYh9dhLe3yiWxB2pRZhZ2oxpq87hT+nP0jz0wixM2XVKryy/jQYAx7r0hpJsf58h2Qy9tK3m5tFX6HQaHV4dX0KKhQadAxyx4zESL5DMimBQIAOHTqgQ4cONrEc/L1MHxCBLiEekCs1mLbuNC+LsBByL/bSHjmOwyePxcPPVYqs61WY9yctQEmIPWGMYdaGs7hWrkAbLye8/0h7vkMyKXvp283Not/JxTvScTynFDKpCJ+P7WgzC9gRQCQU4IsnOsLVQYQzeWX4bHsa3yERYrc8nSX4z9iO4Dhg/Yk8GopIiB1ZfTgH/1wsgljI4b9PdYbMRoeVE9Oy2CP03ZeKsGyvfizfotEd0MbbmeeITE+n0yE/Px/5+fk2sxz8vbT2cMInj3UAAHyz/zK2XyjkOSJC/mVv7bFnuDem948AAMz57RzSi+Q8R0QIMbXkKzcxf4t+bai5Q2MQ28qN54hMz976dnOxyIQi90Y1XvtFXyJ2Qs82GNYhgOeIzEOj0WDlypVYuXKlTS0Hfy9JsQGY2KsNAOCNX87g8vVKfgMipJY9tscZiW3xYIQ3atRaTFmTDLmCKqAQYquuy5V4aW0y1FqGobH+hu9iW2ePfbs5WFxCUaXU4IX/nURZtRrxQe6Y+5BtlohtCMdxcHNzg5ubm02WarubNx+KQfc2npArNZiyJhmVSmrghH/22B6FAg5fPNERAW4OuHy9Cq/+fAY6Wp+CEJuj1uow7adTKKpQItzHGZ+Oibebfs4e+3Zz4FgjamZVVFTAzc0N5eXlcHV1NVkwjDG8tPYUtp4vhI+LFH9OexD+bg4m2x6xHMVyBYYvPYhiuRKJMb745pmuEAqooZtCS9qzufoCwq/TuTcx9tujUGl0eKlfOGYl2c+JHXtB/YD9YozhzU3nse54LpwlQmye9iAifGV8h0V4Yqz2bFFXKBb/k46t5wshEQqw/OkulEzYEV8XB3zzTBdIRALsTC3Gom2X+A6JELvVKdgDi0bHAQC+3puFTaev8hwRIcRYvj+Ug3XHc8FxwNInO1EyQYzCYhKK9cdz8d89mQCA+Y/GokuIB88REXPrFOyBz8bEAwC+3X8Za49d4TkiQuzXo51aY0rfcADArA1ncTizhOeICCEt9c+FQsz/W18a+q2HYjAwxo/niIitsIiEYm9aMd76/TwA4OWBkRjTNYjniPih0Wiwfv16rF+/3m4nCj0SH4hXatcbeef381T5ifCG2iMwa0gUhsUFQK1lmPxjMlILaCVtQqzVyZxSTF93GjqmX9Dy+QdD+Q6JF9S3mwbvCcWJnFJMWZMMrY5hVKdWeNXGF6+7F51Oh7S0NKSlpdl1KbMZAyPxRLcg6Bgwfd1pHLt8g++QiB2i9ggIBBwWPx6P7qH6ognjvz+OKzeq+A6LENJEaYVyPPfDCSg1OiTG+OKjkbF2OyGZ+nbT4DWhOJ9fjudWnYBCrUP/KB8sHN3Bbj/gACAUCjF8+HAMHz4cQqGQ73B4w3EcPhoZi8QYP6g0Ojy/+iRO5d7kOyxiZ6g96jmIhVjxTFdE+bmgWK7EUyuOIb+shu+wCCGNlFlciXErj6JCoUHnYHd8+WRniOx4oWDq202Dt0/U+fxyPP3dMciVGnQP9cTX4/QTcu2ZUChEly5d0KVLF7v/kIuEAvz3qU5ICPNCZe2Z0bNXy/gOi9gRao//cnMS48dJ3RHm7Yz8shqMW3EUBeWUVBBi6bJLqvDUiqMoqVShXYArvp/QDY4S++7PqG83DV6O4M9eLcNTK46irFqNjkHu+G58V7v/gJM7OYiF+G5CV/0aFQoNxq08huQrdKWCED74ujhgzaQeaO3hiJwb1Xj8myPIK63mOyxCyF2kF8kx9psjKJYrEe3vgjWTesDdScJ3WMRGmT2hOJJ1A+NWHEOFQoMuIR748fnucHEQmzsMi8QYQ3FxMYqLi9GI5UHsgpNEhO8ndkO3Nh6QKzR45rtjOETVZogZUHu8U6C7I36enIAQLyfkldbg8W+OILOYVrcnxNKcvVpmSCai/PTJhKczJRMA9e2mYtaEYsu5Aoz//jjkSg16hHpi9XOUTNxKrVZj2bJlWLZsGdRqNd/hWAyZVITVz3VH70hvVKu0mLjqBDan5PMdFrFx1B4b1srdEb9MTkCErwwF5QqMXnYYJ3JK+Q6LEFJrT1oxnvz2KG5WqxEf5I6fJz8Ab5mU77AsBvXtpmGWhIIxhuX7sjD1p1NQaXVIau+P1c91h0wqMsfmrYqTkxOcnJz4DsPiOElEWDm+K4bG+kOl1WHG+hR8tSeTzi4Qk6L22DA/Vwf8MjkBnYLdUV6jxriVx/DHmWt8h0WI3Vtz9AomrT6JKpUWPcO9sJaGOTWI+nbj41gjjshasiy3Qq3FmxvPYeNp/RnlZx4IwfuPtIdQYL/VnEjzaXUMC7emYsWBbADAiI6BWDAqDk4SSk4bqyXtuSXPJbanRqXFjPWn8c/FIgDA5L5hmDUkmvp3K0D9gG1RarSY9+dFrD2WCwB4rEtrfPxonN0XuyH3Z6z2bNJPWk5JFUZ9fRgbT+dDKOAwb0R7zBtByQRpPqGAw1vD2uHDkbEQCThsTrmGUV8fRnYJ1cYnxNwcJUIse7qLYUXtb/ZdxoRVx3FdruQ5MkLsx7WyGjzx7VGsPZYLjgPeGNwWnz7WgZIJYlYm+bQxxrA5JR/DvzyIiwUV8HSW4H/PdcezCW3sep0JYjzPPBCCdf/3AHxcpLhUKMewpQfwy8k8GgJFiJkJBRzmDI3G0ic7wUEswIGMEgz9Yj/2pV/nOzRCbN7fZwuQ9Pl+nM4tg6uDCN9P6IZpAyLpWIuYndETihuVSkz96RRmrE9BpVKD7m08seXl3ugV4W3sTdkcjUaDjRs3YuPGjbQcfCN0a+OJv6Y/iAfCPFGt0mLWhrN4cc0pFMsVfIdGbAC1x6Z5JD4Qf057EFF+LiipVGH898fx5qZzqFTSe0eIsd2sUuG1n1Mw9adTqFBoEB/kjr+m90b/KF++Q7N41LebhlETisvXKzHk8/3Ycq4QIgGHVxIj8dMLPeDv5mDMzdgsnU6Hc+fO4dy5c7QcfCP5uTpg7aQHMHNIFEQCDtsuFGLQkv349WQedDq6WkGaj9pj00X6uWDztF54NiEEAPDTsVwM+c9+/HOhkK4eEmIEdSNAEpfsw8bT+eA4YFr/CGyYkoBgL5pk3BjUt5uGUWeyhng5I8TLGZ7OEix5vCNiW7kZ8+VtnlAoxJAhQww/k8YRCjhM7R+Bvm19MPu3s7hwrQIzN5zFT8dz8f7D7REf5M53iMQKUXtsHgexEPNGxCIp1h+zfzuLvNIa/N+PyegX5YO3h7VDhK+M7xAJsUoXrpXjgz8u4nhtmeZIXxkWPdYBnYM9eI7MulDfbhpGr/JULFfAzVEMqYj+SMT8NFodvjuYjaW7MlCl0gIAhnUIwKuJbelAphZVdyHmUq3S4L+7M7HiwGWotQwCDhjTJQgzEiMR6O7Id3h2jfoB65FdUoX/7EjHn2evgTHAQSzAS/0iMLlvGB1rkRYzVns2edlYQvhQVKHAom2XsOl0PhgDBBwwvEMgpvQNR7tA+/4M04EEMbfL1yuxYOsl7KgtLysWchjVqTUm9w1DmA8l+nygfsDypRZU4Jt9WfjzbAG0tUN4H44PxJyh0WhFCTkxEkoobBBjDOXl5QAANzc3qtJgBKkFFVj8Tzp2phYZbnswwhtPPxCCxBhfiIT2V1aPDiQah9qj8SVfKcWn29Nw9PK/K2v3i/LB+IQ26NPWh0qKmxH1A5ZJo9VhZ2oR1hzNxcHMEsPt/aN88PrgKBpKbgTUt9dHCYUNUqlUWLBgAQBg7ty5kEhodUtjOZ9fjm/2X8bfZ6+hbq62r4sUIzoG4tFOrRET4GI3nQodSDQOtUfTSb5Siq/3ZGHXpWLDbf6uDhjVuRUejg9EtL/9tEe+UD9gORhjOJ9fgd9T8rE55RpKKvXruAg4YGhcAKb0CUdca0okjIX69vqM1Z5peWELIxaL+Q7BJsW2csOXT3bCrCFRWHc8Fz+fyEOxXIkVB7Kx4kA22ng5YUisPwZE+aJziAfEdnjlgtyJ2qNpdAnxxHcTPJFTUoX/HbmCjaevorBCga/3ZuHrvVkI83bGoPZ+1B6JzVJqtDiZcxO7LxVj+4VCXL1ZY7jPWybB2G5BeLJ7MFp7UOUmU6C+3fjoCgWxSyqNDnvTirHxVD52pxVDpfm3dJyLVIQeYZ7oEeqFbqGeiAlwsamJb3RmklgapUaLXanF2HQ6H/vSr9drjzKpCN3aeOCBMC90DvFAXCs3OIhtpz3yhfoB86pSanAuvxzJV27i6OUbOJlzEzVqreF+B7EAA6J9MapTa/SN8qEkmpgNDXkixEgqlRrsTSvGjotF2J9+HTer1fXulwgFiAlwQbtAV8QEuCLS1wURvjJ4yyRWOSyDDiSIJZMr1NiTdh17LhVjb1rxHe1RJOAQ4StD+0A3RPu7IMJPhggfGQLdHWkORhNQP2AaGq0O+WU1yLpeiYyiSlwqlOPitQpkFMtx+9JIPi5S9In0waB2vujT1gdOEho0QsyPhjwRYiQyqQjDOwRieIdAaHUM5/PLcSz7Bo5dLsWp3Ju4Wa3GmavlOHO1/I7nBXk6IcjDEa08HBHo5ghfVyl8XKTwlknh5SyBm6PYLid+E9JcLg5iPBIfiEfiA6HTMVwsqMDRyzdwIqcUp3LLcF2uxKVCOS4Vyus9TyzkEOThhFYejmjl7gg/Vwf4uTrUtkcJPJ0lcHeSwNVBZJUnAgi/dDoGuUKDm9Uq3KhS4UalEsVy/b/C8hpcK1Pg6s1qXL1ZA81dFlUNcHNAxyB39Aj1RI8wL5orRGwKXaGwIBqNBlu2bAEAPPTQQxCJKN/jG2MMuaXVOJdfjtSCCqQWyJF1vRK5pdVo7MK/Lg4iuDmK4eIghouDCDKpCE4SYe0/EaRiARxEQkjFAkhFQkhEAkiEHEQCAcQiAcQCDkIBB5GQg4DT3y4QAAJOf7uA0/8c4ObYqFXp6cxk41B7tDyMMVwrV+BCfjkuFlQgo6gS6UVyXLlRDZW2cSveCjh90uLqKIJMKoZMKoSjRARniRCOYiGkYiEcxAJIRLXtUchBIhJALBRAJPy3Pdb7x3EQGP4HOE7fVjkAXG375ACAAzhw4DjU3qf/uU7dj//ext32+52PbUjHIPf7Hqiaqx84e7XMUPL09i6zfh/K6t3Gan9mjBl+1t/OAAboGKCrvU/HGBhj0OkALWPQ6Ri0jEGrY9AxBo1W/7Nax6DR6qDW6qDWMig1Oqg0OijUWig1WijUOtSotKhWa1Gt1KBKpUWlUo2KGg3kCvUdVxjuRiISIMzbGRG+MkT7uyAmwBXtA90a1T8T06O+vT66QmGDdDodTp8+DQBISkriORoC6L/w61aAH94h0HC7Qq3F1ZvVuHKjGvllNcgvq0FhuQLFFUoUyRUorVKhrHaohlyhgVyhAVBzl60Yx6uJbTEjMdKk27An1B4tD8dxaOWuvwIxuL2/4XatjqGgvAa5pdXIv6k/W1wkV6CoXIGSSiVKKlW4Wa1CtUoLHQPKa9Qor1HD1G2SL1kfPwShhZz4fnrlMVQoNHyHYTROEiG8ZBJ4OkvhI5PC11UKf1cHtHJ3RKC7I0K8nODv6gABDb+zWNS3mwYlFBZEKBSif//+hp+J5XIQCxHh64IIX5e7Pkat1aGiRo2b1WpUKNS1iYUaVUoNqpRa1Ki1qFZpoFDrz5CpNDrDGTO1VgeVVgeNlkGj00Gj059h0+r0Z9t0jBnOxNWdoXNzpOZsTNQerYdQwKG1h9N9K+Io1FpU1OjbY3mNBlVKDSqVGlSrtKhRaVCj1qJGpYNSo4VSo/9frWH6M9o6BrVG3xY1Op2hPdadBdf/X3e2XJ/k6M+s639nqPv/37Put56yr3f7LVi9xzTyFLkFaeXhBDel+o7buQauvvx7hYar9ztuvaKDf6/6ALVXfzj9Z4DjOAhr7xMIOIjqru4a/hdAJOQgEeqvOIlFHBxqrwo71F6ZchT/e8XKWSqCzEEEVwcxXB1EcHMS21SBDntFfbtp0BGIBREKhejTpw/fYRAjEQsF8JJJ4SWT8h0KaQZqj7ZHf9AohK8rDT0xl60zevMdAiH1UN9uGjRblBBCCCGEENJsdIXCgjDGUF1dDQBwcnKi6g+E8IjaIyGE2B7q202DrlBYELVajc8++wyfffYZ1Oo7x5wSQsyH2iMhhNge6ttNo1FXKOoqy1ZUVJg0GHunUqmgUCgA6N9riUTCc0TEFtW140ZUjL6DPfUF1B6JLaN+gNgr6tvra0lfcKtGrUNx9epVBAUFtWhDhBDLkpeXh9atWzfpOdQXEGJbqB8ghADN6wtu1aiEQqfT4dq1a3BxMe+qjhUVFQgKCkJeXp7NL6JVxx73GbDP/eZrnxljkMvlCAwMhEDQtFGPfPQF9vjZAOxzv+1xnwF+9tva+gFzoM+f/ey3Pe4z0PB+t6QvuFWjhjwJBIIWZS0t5erqald/cMA+9xmwz/3mY5/d3Nya9Tw++wJ7/GwA9rnf9rjPgPn32xr7AXOgz5/9sMd9Bu7c7+b2BbeiSdmEEEIIIYSQZqOEghBCCCGEENJsFp1QSKVSvPfee5BK7WelYXvcZ8A+99se97k57PV9ssf9tsd9Bux3vy2Nvf4d7HG/7XGfAdPud6MmZRNCCCGEEEJIQyz6CgUhhBBCCCHEslFCQQghhBBCCGk2SigIIYQQQgghzWYRCUV+fj6efvppeHl5wdHREXFxcTh58qThfsYY3n33XQQEBMDR0RGJiYnIyMjgMeKWu98+T5gwARzH1fuXlJTEY8Qt16ZNmzv2ieM4TJ06FQCgUCgwdepUeHl5QSaTYfTo0SgqKuI56pa53z7369fvjvumTJnCc9SWYcGCBejWrRtcXFzg6+uLkSNHIi0tje+wTGrZsmXo0KGDoUZ4QkICtm7dyndYZrVw4UJwHIdXXnmF71BM6v3337+j7UdHR/Mdls273/tuK99D+/fvx8MPP4zAwEBwHIfff/+93v2NOa4qLS3FuHHj4OrqCnd3dzz//POorKw041403f32uzHHVta23435rmzM5zo3NxfDhg2Dk5MTfH19MXPmTGg0mkbHwXtCcfPmTfTq1QtisRhbt27FxYsXsXjxYnh4eBge88knn2Dp0qVYvnw5jh07BmdnZwwZMgQKhYLHyJuvMfsMAElJSSgoKDD8W7duHU8RG8eJEyfq7c+OHTsAAGPGjAEAvPrqq/jzzz/x66+/Yt++fbh27RpGjRrFZ8gtdr99BoAXXnih3mM++eQTvsK1KPv27cPUqVNx9OhR7NixA2q1GoMHD0ZVVRXfoZlM69atsXDhQiQnJ+PkyZMYMGAARowYgQsXLvAdmlmcOHEC33zzDTp06MB3KGbRvn37em3/4MGDfIdkF+71vtvK91BVVRXi4+Px1VdfNXh/Y46rxo0bhwsXLmDHjh3466+/sH//fvzf//2fuXahWe6338D9j62sbb8b8115v8+1VqvFsGHDoFKpcPjwYaxevRo//PAD3n333cYHwng2e/Zs9uCDD971fp1Ox/z9/dmnn35quK2srIxJpVK2bt06c4RodPfbZ8YYGz9+PBsxYoR5AuLJjBkzWHh4ONPpdKysrIyJxWL266+/Gu5PTU1lANiRI0d4jNK4bt1nxhjr27cvmzFjBr9BWYni4mIGgO3bt4/vUMzKw8ODrVy5ku8wTE4ul7PIyEi2Y8cOu2gX7733HouPj+c7DLtzr/fdVr+HALBNmzYZfm/McdXFixcZAHbixAnDY7Zu3co4jmP5+flmi70lbt9vxu5/bGUL+337d2VjPtdbtmxhAoGAFRYWGh6zbNky5urqypRKZaO2y/sVij/++ANdu3bFmDFj4Ovri06dOmHFihWG+7Ozs1FYWIjExETDbW5ubujRoweOHDnCR8gtdr99rrN37174+voiKioKL774Im7cuMFDtKahUqmwZs0aPPfcc+A4DsnJyVCr1fX+ztHR0QgODrbav/Ptbt/nOmvXroW3tzdiY2Mxd+5cVFdX8xil5SovLwcAeHp68hyJeWi1Wqxfvx5VVVVISEjgOxyTmzp1KoYNG1avD7B1GRkZCAwMRFhYGMaNG4fc3Fy+Q7ILd3vf7eF7CGjccdWRI0fg7u6Orl27Gh6TmJgIgUCAY8eOmT1mY7rXsZUt7Pft35WN+VwfOXIEcXFx8PPzMzxmyJAhqKioaPQVcpGxdqC5Ll++jGXLluG1117Dm2++iRMnTuDll1+GRCLB+PHjUVhYCAD1drLu97r7rM399hnQX5IbNWoUQkNDkZWVhTfffBNDhw7FkSNHIBQKed6Dlvv9999RVlaGCRMmAAAKCwshkUjg7u5e73HW/He+3e37DABPPfUUQkJCEBgYiLNnz2L27NlIS0vDxo0b+QvUAul0Orzyyivo1asXYmNj+Q7HpM6dO4eEhAQoFArIZDJs2rQJ7dq14zssk1q/fj1OnTqFEydO8B2K2fTo0QM//PADoqKiUFBQgA8++AC9e/fG+fPn4eLiwnd4Nute77s9fA8BaNRxVWFhIXx9fevdLxKJ4OnpadXvxf2Orax9vxv6rmzM57qwsLDBz0PdfY3Be0Kh0+nQtWtXfPzxxwCATp064fz581i+fLnh4NrWNGafn3jiCcPj4+Li0KFDB4SHh2Pv3r0YOHAgL3Eb03fffYehQ4ciMDCQ71DMpqF9vnVcZlxcHAICAjBw4EBkZWUhPDycjzAt0tSpU3H+/Hm7GGMeFRWFlJQUlJeXY8OGDRg/fjz27dtns0lFXl4eZsyYgR07dsDBwYHvcMxm6NChhp87dOiAHj16ICQkBL/88guef/55HiOzbfd63x0dHXmMjJiDrR9b8fldyfuQp4CAgDu+KGNiYgyXIP39/QHgjtnoRUVFhvuszf32uSFhYWHw9vZGZmamqcMzuStXrmDnzp2YNGmS4TZ/f3+oVCqUlZXVe6w1/51v1dA+N6RHjx4AYBN/Z2OZNm0a/vrrL+zZswetW7fmOxyTk0gkiIiIQJcuXbBgwQLEx8fjiy++4Dssk0lOTkZxcTE6d+4MkUgEkUiEffv2YenSpRCJRNBqtXyHaBbu7u5o27YttX0zu/V9t/XvoTqNOa7y9/dHcXFxvfs1Gg1KS0tt6r24/djKmvf7bt+Vjflc+/v7N/h5qLuvMXhPKHr16nVHeav09HSEhIQAAEJDQ+Hv749du3YZ7q+oqMCxY8esdlzx/fa5IVevXsWNGzcQEBBg6vBMbtWqVfD19cWwYcMMt3Xp0gVisbje3zktLQ25ublW+3e+VUP73JCUlBQAsIm/c0sxxjBt2jRs2rQJu3fvRmhoKN8h8UKn00GpVPIdhskMHDgQ586dQ0pKiuFf165dMW7cOKSkpNjEEM/GqKysRFZWFrV9M7v1fbf176E6jTmuSkhIQFlZGZKTkw2P2b17N3Q6neHEly24/djKGvf7ft+VjflcJyQk4Ny5c/WSqR07dsDV1bXxV8eNNq28mY4fP85EIhGbP38+y8jIYGvXrmVOTk5szZo1hscsXLiQubu7s82bN7OzZ8+yESNGsNDQUFZTU8Nj5M13v32Wy+XsjTfeYEeOHGHZ2dls586drHPnziwyMpIpFAqeo28ZrVbLgoOD2ezZs++4b8qUKSw4OJjt3r2bnTx5kiUkJLCEhAQeojSuu+1zZmYmmzdvHjt58iTLzs5mmzdvZmFhYaxPnz48RWpZXnzxRebm5sb27t3LCgoKDP+qq6v5Ds1k5syZw/bt28eys7PZ2bNn2Zw5cxjHceyff/7hOzSzsocqT6+//jrbu3cvy87OZocOHWKJiYnM29ubFRcX8x2aTbvf+24r30NyuZydPn2anT59mgFgS5YsYadPn2ZXrlxhjDXuuCopKYl16tSJHTt2jB08eJBFRkayJ598kq9dapR77Xdjj62sbb8b8115v8+1RqNhsbGxbPDgwSwlJYVt27aN+fj4sLlz5zY6Dt4TCsYY+/PPP1lsbCyTSqUsOjqaffvtt/Xu1+l07J133mF+fn5MKpWygQMHsrS0NJ6iNY577XN1dTUbPHgw8/HxYWKxmIWEhLAXXnihXjkva7V9+3YGoMG/X01NDXvppZeYh4cHc3JyYo8++igrKCjgIUrjuts+5+bmsj59+jBPT08mlUpZREQEmzlzJisvL+cpUssCoMF/q1at4js0k3nuuedYSEgIk0gkzMfHhw0cONDukgnG7COhGDt2LAsICGASiYS1atWKjR07lmVmZvIdls273/tuK99De/bsabD/HD9+PGOsccdVN27cYE8++SSTyWTM1dWVTZw4kcnlch72pvHutd+NPbaytv1uzHdlYz7XOTk5bOjQoczR0ZF5e3uz119/nanV6kbHwdUGQwghhBBCCCFNxvscCkIIIYQQQoj1ooSCEEIIIYQQ0myUUBBCCCGEEEKajRIKQgghhBBCSLNRQkEIIYQQQghpNkooCCGEEEIIIc1GCQUhhBBCCCGk2SihIIQQQgghhDQbJRSEEGJGOTk54DgOKSkpJt8Wx3H4/fffzb7dxnr//ffRsWNHvsMgxKZQuyd8oITCBnAcd89/77//Pt8hEmI3JkyYUK/9eXl5ISkpCWfPnuU1rqCgIBQUFCA2NtYs22vTps09+6UJEybgjTfewK5du8wSDyGWoLCwENOnT0dYWBikUimCgoLw8MMPm6wdULsn5iLiOwDScgUFBYaff/75Z7z77rtIS0sz3CaTyfgIixC7lZSUhFWrVgHQH0C8/fbbGD58OHJzc3mLSSgUwt/f32zbO3HiBLRaLQDg8OHDGD16NNLS0uDq6goAcHR0hEwmo/6J2I2cnBz06tUL7u7u+PTTTxEXFwe1Wo3t27dj6tSpuHTpktG3Se2emAtdobAB/v7+hn9ubm7gOK7ebevXr0dMTAwcHBwQHR2Nr7/+2vDcusuhv/zyC3r37g1HR0d069YN6enpOHHiBLp27QqZTIahQ4fi+vXrhudNmDABI0eOxAcffAAfHx+4urpiypQpUKlUfLwFhFgUqVRqaH8dO3bEnDlzkJeXV68N3er8+fMYOnQoZDIZ/Pz88Mwzz6CkpMRwf79+/fDyyy9j1qxZ8PT0hL+//x1XHjMyMtCnTx84ODigXbt22LFjR737bx/6sHfvXnAch127dqFr165wcnJCz549652MAICPPvoIvr6+cHFxwaRJkzBnzpxGDVfw8fExvAeenp4AAF9f33p91e1DH+r6lY8//hh+fn5wd3fHvHnzoNFoMHPmTHh6eqJ169aGZK1OXl4eHn/8cbi7u8PT0xMjRoxATk7OfWMkxJxeeuklcByH48ePY/To0Wjbti3at2+P1157DUePHgUA5ObmYsSIEZDJZHB1dcXjjz+OoqKieq+zbNkyhIeHQyKRICoqCj/++ONdt0ntnpgLJRQ2bu3atXj33Xcxf/58pKam4uOPP8Y777yD1atX13vce++9h7fffhunTp2CSCTCU089hVmzZuGLL77AgQMHkJmZiXfffbfec3bt2oXU1FTs3bsX69atw8aNG/HBBx+Yc/cIsXiVlZVYs2YNIiIi4OXldcf9ZWVlGDBgADp16oSTJ09i27ZtKCoqwuOPP17vcatXr4azszOOHTuGTz75BPPmzTMkDTqdDqNGjYJEIsGxY8ewfPlyzJ49u1HxvfXWW1i8eDFOnjwJkUiE5557znDf2rVrMX/+fCxatAjJyckIDg7GsmXLWvBu3N/u3btx7do17N+/H0uWLMF7772H4cOHw8PDA8eOHcOUKVMwefJkXL16FQCgVqsxZMgQuLi44MCBAzh06BBkMhmSkpLoBAexGKWlpdi2bRumTp0KZ2fnO+53d3eHTqfDiBEjUFpain379mHHjh24fPkyxo4da3jcpk2bMGPGDLz++us4f/48Jk+ejIkTJ2LPnj1NiofaPTE6RmzKqlWrmJubm+H38PBw9tNPP9V7zIcffsgSEhIYY4xlZ2czAGzlypWG+9etW8cAsF27dhluW7BgAYuKijL8Pn78eObp6cmqqqoMty1btozJZDKm1WqNvVuEWI3x48czoVDInJ2dmbOzMwPAAgICWHJyMmPs3zZ3+vRpxpi+PQ4ePLjea+Tl5TEALC0tjTHGWN++fdmDDz5Y7zHdunVjs2fPZowxtn37diYSiVh+fr7h/q1btzIAbNOmTQ1ud8+ePQwA27lzp+E5f//9NwPAampqGGOM9ejRg02dOrXednv16sXi4+Ob9J7UbevmzZv1bn/vvffqvdb48eNZSEhIvT4kKiqK9e7d2/C7RqNhzs7ObN26dYwxxn788UcWFRXFdDqd4TFKpZI5Ojqy7du3NylOQkzl2LFjDADbuHHjXR/zzz//MKFQyHJzcw23XbhwgQFgx48fZ4wx1rNnT/bCCy/Ue96YMWPYQw89ZPid2j21ez7QFQobVlVVhaysLDz//POGMYsymQwfffQRsrKy6j22Q4cOhp/9/PwAAHFxcfVuKy4urvec+Ph4ODk5GX5PSEhAZWUl8vLyTLE7hFiN/v37IyUlBSkpKTh+/DiGDBmCoUOH4sqVK3c89syZM9izZ0+9NhodHQ0A9drprW0UAAICAgxtMjU1FUFBQQgMDDTcn5CQ0KhYb33dgIAAADC8blpaGrp3717v8bf/bmzt27eHQPDvV5Ofn1+9vkgoFMLLy8sQ45kzZ5CZmQkXFxfD++fp6QmFQnFHP0cIXxhj931MXTsOCgoy3NauXTu4u7sjNTXV8JhevXrVe16vXr0M9zcWtXtibDQp24ZVVlYCAFasWIEePXrUu08oFNb7XSwWG37mOK7B23Q6nalCJcSmODs7IyIiwvD7ypUr4ebmhhUrVmDSpEn1HltZWYmHH34YixYtuuN16r7ogfrtETBem2yo7fPZ1hvaz3vte2VlJbp06YK1a9fe8Vo+Pj6mC5SQJoiMjATHcSaZeN0c1O6JsdEVChvm5+eHwMBAXL58GREREfX+hYaGtvj1z5w5g5qaGsPvR48ehUwmq3d2hRCi/yIUCAT12kudzp0748KFC2jTps0d7bShsdYNiYmJQV5eXr2Kb3WTPFsiKioKJ06cqHfb7b/zrXPnzsjIyICvr+8d75+bmxvf4RECAPD09MSQIUPw1Vdfoaqq6o77y8rKDO341qv8Fy9eRFlZGdq1awdA39YPHTpU77mHDh0y3G8M1O5Jc1BCYeM++OADLFiwAEuXLkV6ejrOnTuHVatWYcmSJS1+bZVKheeffx4XL17Eli1b8N5772HatGn1LlsSYo+USiUKCwtRWFiI1NRUTJ8+3XAl4nZTp05FaWkpnnzySZw4cQJZWVnYvn07Jk6caCi/eD+JiYlo27Ytxo8fjzNnzuDAgQN46623Wrwf06dPx3fffYfVq1cjIyMDH330Ec6ePWs4o2kJxo0bB29vb4wYMQIHDhxAdnY29u7di5dfftkwgZMQS/DVV19Bq9Wie/fu+O2335CRkYHU1FQsXboUCQkJSExMRFxcHMaNG4dTp07h+PHjePbZZ9G3b1907doVADBz5kz88MMPWLZsGTIyMrBkyRJs3LgRb7zxhtHipHZPmoOO/GzcpEmTsHLlSqxatQpxcXHo27cvfvjhB6NcoRg4cCAiIyPRp08fjB07Fo888ggtokcIgG3btiEgIAABAQHo0aMHTpw4gV9//RX9+vW747GBgYE4dOgQtFotBg8ejLi4OLzyyitwd3dvdHIuEAiwadMm1NTUoHv37pg0aRLmz5/f4v0YN24c5s6dizfeeAOdO3dGdnY2JkyYAAcHhxa/trE4OTlh//79CA4OxqhRoxATE4Pnn38eCoXCUPueEEsQFhaGU6dOoX///nj99dcRGxuLQYMGYdeuXVi2bBk4jsPmzZvh4eGBPn36IDExEWFhYfj5558NrzFy5Eh88cUX+Oyzz9C+fXt88803WLVqVYN9S3NRuyfNwbHGzBQi5DYTJkxAWVkZfv/9d75DIYSY0aBBg+Dv73/P2veEENtC7Z7cD03KJoQQ0qDq6mosX74cQ4YMgVAoxLp167Bz5847Fs0jhNgOavekOSihIIQQ0iCO47BlyxbMnz8fCoUCUVFR+O2335CYmAgAkMlkd33u1q1b0bt3b3OFSggxEmr3pDloyBMhhJBmyczMvOt9rVq1gqOjoxmjIYSYA7V70hBKKAghhBBCCCHNRlWeCCGEEEIIIc1GCQUhhBBCCCGk2SihIIQQQgghhDQbJRSEEEIIIYSQZqOEghBCCCGEENJslFAQQgghhBBCmo0SCkIIIYQQQkizUUJBCCGEEEIIabb/B+21yItzjRbfAAAAAElFTkSuQmCC\n" + }, + "metadata": {} + } + ], + "source": [ + "variability = {\n", + " 'Temp': stats.norm(loc=65, scale=3),\n", + " 'Blending_Time': stats.norm(loc=2.5, scale=0.6),\n", + " 'Cooling_Time': stats.norm(loc=150, scale=30),\n", + "}\n", + "\n", + "fig, axes = plt.subplots(ncols=3, figsize=[8, 2])\n", + "for ax, factor in zip(axes, target):\n", + " xrange = paddedRange(df[factor])\n", + " x = np.linspace(xrange[0], xrange[1], 100)\n", + " y = variability[factor].pdf(x)\n", + " ax.axvline(target[factor].values[0], color='grey', linestyle=':')\n", + " ax.plot(x, y)\n", + " ax.set_xlabel(factor)\n", + " ax.set_yticks([])\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "dd8e2a3d", + "metadata": { + "id": "dd8e2a3d" + }, + "outputs": [], + "source": [ + "variability = {\n", + " 'Temp': stats.norm(loc=65, scale=3),\n", + " 'Blending_Time': stats.norm(loc=2.5, scale=0.6),\n", + " 'Cooling_Time': stats.norm(loc=150, scale=30),\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "04edded3", + "metadata": { + "id": "04edded3" + }, + "outputs": [], + "source": [ + "# simulate data with variability around the target settings\n", + "np.random.seed(1)\n", + "random_df = pd.DataFrame({\n", + " factor: variability[factor].rvs(5000)\n", + " for factor in target\n", + "})\n", + "\n", + "predictions = {response: model.predict(random_df)\n", + " for response, model in models.items()}\n", + "\n", + "variableDesirabilities = pd.DataFrame({\n", + " response: desirability(predictions[response].values)\n", + " for response, desirability in desirabilityProfiles.items()\n", + "})\n", + "\n", + "variableDesirabilities['overall'] = \\\n", + " variableDesirabilities.apply(overallDesirability, axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "63aaf009", + "metadata": { + "id": "63aaf009", + "outputId": "c2d7dd48-4ed0-413b-d0a6-3dcfdc5d060e", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 893 + } + }, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n", + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n", + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n", + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n", + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n", + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n", + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n", + ":1: FutureWarning: Calling float on a single element Series is deprecated and will raise a TypeError in the future. Use float(ser.iloc[0]) instead\n", + " targetPredictions = {response: float(model.predict(target))\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "targetPredictions = {response: float(model.predict(target))\n", + " for response, model in models.items()}\n", + "\n", + "fig, axes = plt.subplots(ncols=3, nrows=3, figsize=[6, 6])\n", + "nbins = 50\n", + "for ax, response in zip(itertools.chain(*axes), desirabilityProfiles):\n", + " x = predictions[response]\n", + " y = variableDesirabilities[response]\n", + " ax.hist(x, bins=nbins, histtype='step', color='grey')\n", + " ax.hist(x, weights=y, bins=nbins, color='C0')\n", + " ax.set_title(response)\n", + " ax.axvline(targetPredictions[response], color='black', linestyle=':')\n", + " ax.set_yticks([])\n", + "axes[2,2].axis('off')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "70000b5e", + "metadata": { + "id": "70000b5e", + "outputId": "72a0115b-d324-482b-e1bb-07feca767d50", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 307 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=[3, 3])\n", + "x = variableDesirabilities['overall']\n", + "ax.hist(x[x>0], bins=nbins)\n", + "ax.axvline(targetDesirabilities['overall'], color='black', linestyle=':')\n", + "ax.set_xlabel('Overall desirability')\n", + "ax.set_ylabel('Distribution')\n", + "ax.set_yticks([])\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "4a8486b9", + "metadata": { + "id": "4a8486b9" + }, + "source": [ + "### A Quality by Design Case Study: The Design Space" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "81eb8898", + "metadata": { + "id": "81eb8898" + }, + "outputs": [], + "source": [ + "def plotSurface(models, target, f1, f2, ncontours=20, ax=None):\n", + " if ax is None:\n", + " _, ax = plt.subplots()\n", + "\n", + " def linspace(limits):\n", + " lmin, lmax = paddedRange(limits, padding=0)\n", + " return np.linspace(lmin, lmax)\n", + " x1 = linspace(data[f1])\n", + " x2 = linspace(data[f2])\n", + " X1, X2 = np.meshgrid(x1, x2)\n", + "\n", + " grid = {f1: X1.ravel(), f2: X2.ravel()}\n", + " for f in target:\n", + " if f in (f1, f2):\n", + " continue\n", + " grid[f] = target[f].values[0]\n", + " df = pd.DataFrame(grid)\n", + "\n", + " # first draw area of undesirability\n", + " model = models['In_Vitro_Upper']\n", + " Y = np.array(model.predict(df))\n", + " cs = ax.contourf(X1, X2, Y.reshape(len(X2), len(X1)), levels=[133, 135],\n", + " colors=['white', '#C4DFEB', '#73A7B8'], extend='both')\n", + "\n", + " targetPredictions = {response: model.predict(target).values[0]\n", + " for response, model in models.items()}\n", + " for idx, response in enumerate(models):\n", + " if response == 'In_Vitro_Upper':\n", + " continue\n", + " model = models[response]\n", + " levels = [targetPredictions[response]]\n", + " Y = np.array(model.predict(df))\n", + " CS = ax.contour(X1, X2,\n", + " Y.reshape(len(X2), len(X1)),\n", + " levels, colors=f'C{idx}')\n", + " ax.clabel(CS, inline=True, fontsize=10)\n", + " ax.set_xlabel(f1)\n", + " ax.set_ylabel(f2)\n", + " return ax" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "c3f029df", + "metadata": { + "id": "c3f029df", + "outputId": "e7ba521f-07fd-4455-f616-3ddd02cbcc34", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 506 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "target = pd.DataFrame(\n", + " {'Temp': 65, 'Blending_Time': 2.5, 'Cooling_Time': 150},\n", + " index=['target'])\n", + "\n", + "fig, axes = plt.subplots(ncols=2, figsize=[10, 5])\n", + "plotSurface(models, target, 'Temp', 'Blending_Time', ax=axes[0])\n", + "plotSurface(models, target, 'Temp', 'Cooling_Time', ax=axes[1])\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "ddb62642", + "metadata": { + "id": "ddb62642", + "outputId": "2bcf5ff4-3ab3-4fee-d6a0-26f7907f8f92", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 506 + } + }, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": [ + "
" + ], + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "targetNew = target.copy()\n", + "targetNew['Temp'] = [67]\n", + "fig, axes = plt.subplots(ncols=2, figsize=[10, 5])\n", + "plotSurface(models, targetNew, 'Temp', 'Blending_Time', ax=axes[0])\n", + "plotSurface(models, targetNew, 'Temp', 'Cooling_Time', ax=axes[1])\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "e660e393", + "metadata": { + "id": "e660e393" + }, + "source": [ + "## Tolerance Designs" + ] + }, { - "data": { - "image/png": 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", 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ABCDEFGHIJKLM
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51121121122122
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302122211122211
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calculate cost of design (tolerance 10 = 0.5, tolerance 5 = 1)\n", + " groupTolerances = g.iloc[0,:][tolerances]\n", + " tc = 0.5 * sum(groupTolerances == 10) + 1 * sum(groupTolerances == 5)\n", + " return {\n", + " 'Mean': g['response'].mean(),\n", + " 'STD': g['response'].std(),\n", + " 'MSE': g['response'].var(ddof=0),\n", + " 'TC': tc,\n", + " **groupTolerances,\n", + " }\n", + "try:\n", + " results = pd.DataFrame(list(Design.groupby('group').apply(groupAggregation, include_groups=False)))\n", + "except TypeError: # support older versions of pandas\n", + " results = pd.DataFrame(list(Design.groupby('group').apply(groupAggregation)))" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "63e2bb30", + "metadata": { + "id": "63e2bb30" + }, + "outputs": [], + "source": [ + "table = results[['Mean', 'STD', 'MSE', 'TC']]\n", + "table.index = range(1, len(table) + 1)\n", + "table = table.round({'Mean': 2, 'STD': 4, 'MSE': 4})\n", + "table['TC'] = table['TC'].astype(np.int64)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "c4f272ed", + "metadata": { + "id": "c4f272ed", + "outputId": "d0bcfcdf-0bd3-4f33-ba19-5c4d251a374b", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Mean STD MSE TC\n", + "24 230.32 3.5976 12.8130 13\n", + "27 229.43 4.3597 18.8173 10\n", + "29 229.80 4.4109 19.2617 10\n", + "31 230.99 4.6552 21.4542 10\n", + "15 230.85 4.7367 22.2119 10\n", + "30 230.91 4.7774 22.5954 9\n", + "7 229.93 4.8452 23.2415 10\n", + "3 230.03 4.8563 23.3477 9\n", + "21 229.73 4.9575 24.3307 9\n", + "4 229.60 5.1094 25.8444 9\n", + "10 229.93 5.2639 27.4314 9\n", + "23 231.29 5.3464 28.2980 10\n", + "14 230.08 5.4595 29.5084 10\n", + "13 230.70 5.5159 30.1212 9\n", + "32 229.79 5.5959 31.0005 9\n", + "2 230.59 5.5979 31.0229 9\n", + "25 230.24 5.7056 32.2279 9\n", + "22 229.73 5.7172 32.3599 9\n", + "1 229.50 5.7244 32.4413 9\n", + "17 230.44 5.7973 33.2726 9\n", + "8 230.88 5.8922 34.3706 10\n", + "20 230.46 5.9800 35.4024 10\n", + "19 230.27 6.0310 36.0092 10\n", + "6 230.46 6.1385 37.3047 10\n", + "11 230.35 6.2171 38.2664 9\n", + "16 229.50 6.2814 39.0608 10\n", + "18 230.19 6.2949 39.2299 10\n", + "12 229.77 6.5423 42.3742 9\n", + "28 229.52 6.6241 43.4396 10\n", + "5 230.01 6.8145 45.9726 9\n", + "9 230.50 7.1933 51.2260 10\n", + "26 230.26 7.2022 51.3528 6" + ], + "text/html": [ + "\n", + "
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MeanSTDMSETC
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\n" + }, + "metadata": {} + } + ], + "source": [ + "flexprod = mistat.load_data('FLEXPROD')\n", + "mistat.mainEffectsPlot(flexprod, 'SN', col_wrap=8)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "40e4fce0", + "metadata": { + "id": "40e4fce0", + "outputId": "c7e4d1e9-3240-4f6a-e949-9305d5ec59e7", + "colab": { + "base_uri": "https://localhost:8080/" + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Intercept 12.091875\n", + "A -1.144375\n", + "B 0.291875\n", + "C 1.141875\n", + "D -0.806875\n", + "E 3.598125\n", + "F 1.106875\n", + "G 2.374375\n", + "H -0.813125\n", + "I 0.489375\n", + "J -0.334375\n", + "K -1.189375\n", + "L 0.404375\n", + "M 0.219375\n", + "N 0.278125\n", + "O 0.215625\n", + "dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 39 + } + ], + "source": [ + "for c in flexprod.columns:\n", + " if c == 'SN':\n", + " continue\n", + " flexprod[c] = [-1 if v == 1 else 1 for v in flexprod[c]]\n", + "model = smf.ols('SN ~ A+B+C+D+E+F+G+H+I+J+K+L+M+N+O', data=flexprod).fit()\n", + "model.params" + ] + }, + { + "cell_type": "markdown", + "id": "e9abb8ac", + "metadata": { + "id": "e9abb8ac" + }, + "source": [ + "### Computer Response Time Optimization" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "d0ce85e2", + "metadata": { + "id": "d0ce85e2" + }, + "outputs": [], + "source": [ + "compuresp = mistat.load_data('COMPURESP')\n", + "compuresp.index = range(1, len(compuresp) + 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "1ba543ca", + "metadata": { + "id": "1ba543ca", + "outputId": "1cf2907c-273b-41f4-cc2b-53d0a5f3d405", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 614 + } + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " F B C D E A G H Mean SN\n", + "1 1 1 1 1 1 1 1 1 4.65 -14.66\n", + "2 1 1 2 2 2 2 2 2 5.28 -16.37\n", + "3 1 1 3 3 3 3 3 3 3.06 -10.49\n", + "4 1 2 1 1 2 2 3 3 4.53 -14.85\n", + "5 1 2 2 2 3 3 1 1 3.26 -10.94\n", + "6 1 2 3 3 1 1 2 2 4.55 -14.96\n", + "7 1 3 1 2 1 3 2 3 3.37 -11.77\n", + "8 1 3 2 3 2 1 3 1 5.62 -16.72\n", + "9 1 3 3 1 3 2 1 2 4.87 -14.67\n", + "10 2 1 1 3 3 2 2 1 4.13 -13.52\n", + "11 2 1 2 1 1 3 3 2 4.08 -13.79\n", + "12 2 1 3 2 2 1 1 3 4.45 -14.19\n", + "13 2 2 1 2 3 1 3 2 3.81 -12.89\n", + "14 2 2 2 3 1 2 1 3 5.87 -16.75\n", + "15 2 2 3 1 2 3 2 1 3.42 -11.65\n", + "16 2 3 1 3 2 3 1 2 3.66 -12.23\n", + "17 2 3 2 1 3 1 2 3 3.92 -12.81\n", + "18 2 3 3 2 1 2 3 1 4.42 -13.71" + ], + "text/html": [ + "\n", + "
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FBCDEAGHMeanSN
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3113333333.06-10.49
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5122233113.26-10.94
6123311224.55-14.96
7131213233.37-11.77
8132321315.62-16.72
9133132124.87-14.67
10211332214.13-13.52
11212113324.08-13.79
12213221134.45-14.19
13221231323.81-12.89
14222312135.87-16.75
15223123213.42-11.65
16231323123.66-12.23
17232131233.92-12.81
18233212314.42-13.71
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\n" + }, + "metadata": {} + } + ], + "source": [ + "compuresp = mistat.load_data('COMPURESP')\n", + "mistat.mainEffectsPlot(compuresp, 'SN', factors='FBCDEAGH', col_wrap=4)" + ] + }, + { + "cell_type": "markdown", + "id": "b982bc21", + "metadata": { + "id": "b982bc21" + }, + "source": [ + "## Chapter Highlights" + ] + }, + { + "cell_type": "markdown", + "id": "3be15b3a", + "metadata": { + "id": "3be15b3a" + }, + "source": [ + "## Exercises" ] - }, - "metadata": {}, - "output_type": "display_data" } - ], - "source": [ - "compuresp = mistat.load_data('COMPURESP')\n", - "mistat.mainEffectsPlot(compuresp, 'SN', factors='FBCDEAGH', col_wrap=4)" - ] - }, - { - "cell_type": "markdown", - "id": "b982bc21", - "metadata": {}, - "source": [ - "## Chapter Highlights" - ] - }, - { - "cell_type": "markdown", - "id": "3be15b3a", - "metadata": {}, - "source": [ - "## Exercises" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + }, + "colab": { + "provenance": [] + } }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.9" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file