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@petermchale
Last active March 28, 2022 21:25
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Statistical power from first principles. Non-mangled version at: https://nbviewer.org/gist/petermchale/b184b08fcafe430b401516e2b4776924
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "f5757ebd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x1440 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np \n",
"import matplotlib.pyplot as plt\n",
"import scipy.stats\n",
"\n",
"plt.rcParams.update({'font.size': 16}) \n",
"\n",
"# fixed parameters of null distribution: \n",
"mu0 = 0 \n",
"sigma0 = 1 \n",
"\n",
"# fixed parameters of alternative distribution \n",
"sigma1 = 1\n",
"\n",
"\n",
"def compute_xbars(n, m, mu, sigma):\n",
" xs = np.random.normal(mu, sigma, size=(n, m)) # generate m sets of n samples each \n",
" xbars = np.mean(xs, axis=0) # compute the sample mean for of the m sets\n",
" return xbars\n",
"\n",
"def get_label(legend_labels): \n",
" if 'CLT' not in legend_labels: return 'CLT' \n",
" else: return None\n",
"\n",
"def plot_xbar_distribution(axis, n, m, mu, sigma, legend_labels): \n",
" xbars = compute_xbars(n, m, mu, sigma) # m sample means\n",
" count, bins, _ = axis.hist(xbars, 30, density=True, alpha=0.5) # empirical distribution of sample means\n",
" normal = scipy.stats.norm(mu, sigma/np.sqrt(n)) # Central Limit Theorem predicts the distribution of sample means\n",
" axis.plot(bins, normal.pdf(bins), linewidth=2, color='r', label=get_label(legend_labels))\n",
" legend_labels.add('CLT')\n",
" \n",
"def plot_xbar_distributions_vs_sample_size(m=100, effect_size=1): \n",
" sample_sizes = [1, 10, 100, 1000]\n",
" fig, axes = plt.subplots(len(sample_sizes), 1)\n",
" fig.subplots_adjust(hspace=0.4)\n",
" fig.set_size_inches(10, 20)\n",
" for i, sample_size in enumerate(sample_sizes):\n",
" axis = axes[i]\n",
" axis.set_title(f'sample size = {sample_size}')\n",
" legend_labels = set()\n",
" plot_xbar_distribution(axis, n=sample_size, m=m, mu=mu0, sigma=sigma0, legend_labels=legend_labels)\n",
" plot_xbar_distribution(axis, n=sample_size, m=m, mu=effect_size, sigma=sigma1, legend_labels=legend_labels)\n",
" axis.set_xlabel('sample mean')\n",
" axis.set_ylabel('probability density')\n",
" axis.set_xlim([-1, 2])\n",
" axis.legend()\n",
"\n",
"# the larger the sample size, \n",
"# the greater one's ability to accurately predict which distribution a given set of x's were drawn from: \n",
"plot_xbar_distributions_vs_sample_size() "
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "80c6da7e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x1440 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def plot_xbar_distributions_vs_effect_size(m=100, sample_size=10): \n",
" effect_sizes = [0.1, 1, 2]\n",
" fig, axes = plt.subplots(len(effect_sizes), 1)\n",
" fig.subplots_adjust(hspace=0.4)\n",
" fig.set_size_inches(10, 20)\n",
" for i, effect_size in enumerate(effect_sizes):\n",
" axis = axes[i]\n",
" axis.set_title(f'effect size = {effect_size}')\n",
" legend_labels = set()\n",
" plot_xbar_distribution(axis, n=sample_size, m=m, mu=mu0, sigma=sigma0, legend_labels=legend_labels)\n",
" plot_xbar_distribution(axis, n=sample_size, m=m, mu=effect_size, sigma=sigma1, legend_labels=legend_labels)\n",
" axis.set_xlabel('sample mean')\n",
" axis.set_ylabel('probability density')\n",
" axis.set_xlim([-1, 3])\n",
" axis.legend()\n",
"\n",
"# the larger the effect size, \n",
"# the greater one's ability to accurately predict which distribution a given set of x's were drawn from: \n",
"plot_xbar_distributions_vs_effect_size()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "68a1564d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def alpha_to_threshold(n, alpha): # alpha = significance level\n",
" # https://stackoverflow.com/a/20627638/6674256\n",
" xbar_threshold = scipy.stats.norm.ppf(1-alpha, loc=mu0, scale=sigma0/np.sqrt(n)) # Central Limit Theorem\n",
" return xbar_threshold\n",
" \n",
"def predict_class(xbar, n, alpha=0.05): \n",
" xbar_threshold = alpha_to_threshold(n, alpha)\n",
" return 1 if xbar > xbar_threshold else 0 # class \"0\" ~ null hypothesis; class \"1\" ~ alternative hypothesis\n",
"\n",
"predict_class(xbar=0.5, n=10)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "f3d5d044",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predict_class(xbar=0.5, n=100)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "7e8cf5c8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.04, 0.6363636363636364)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def update_confusion_matrix(confusion_matrix, xbars, true_class, n, alpha): \n",
" for xbar in xbars: \n",
" confusion_matrix[true_class, predict_class(xbar, n, alpha)] += 1 \n",
" return confusion_matrix\n",
" \n",
"def compute_recall_FDR(n, number_class0=100, number_class1=100, mu1=1, alpha=0.05): \n",
" xbars_class0 = compute_xbars(n, number_class0, mu=mu0, sigma=sigma0)\n",
" xbars_class1 = compute_xbars(n, number_class1, mu=mu1, sigma=sigma1)\n",
"\n",
" confusion_matrix = np.zeros((2, 2)) \n",
" confusion_matrix = update_confusion_matrix(confusion_matrix, xbars_class0, 0, n, alpha)\n",
" confusion_matrix = update_confusion_matrix(confusion_matrix, xbars_class1, 1, n, alpha)\n",
" \n",
" TP = confusion_matrix[1,1]\n",
" FN = confusion_matrix[1,0]\n",
" FP = confusion_matrix[0,1]\n",
" recall = TP/(TP + FN)\n",
" FDR = FP/(TP + FP)\n",
" return recall, FDR\n",
"\n",
"compute_recall_FDR(n=10, mu1=0.1) # poor discrimination between classes"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "cd20b1c0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1.0, 0.0196078431372549)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"compute_recall_FDR(n=10, mu1=2) # good discrimination between classes"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "321cf817",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x1440 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def compute_power(n, alpha, mu1): \n",
" xbar_threshold = alpha_to_threshold(n, alpha)\n",
"\n",
" # Central Limit Theorem: \n",
" # also see: https://en.wikipedia.org/wiki/Power_of_a_test#Example\n",
" power = 1 - scipy.stats.norm.cdf(xbar_threshold, loc=mu1, scale=sigma1/np.sqrt(n)) \n",
"\n",
" return power\n",
"\n",
"# recall, TP/(TP + FN), is just a maximum-likelihood estimate of power,\n",
"# which is the probability of calling/predicting a sample as being drawn from class 1, \n",
"# given that the sample actually was drawn from class 1\n",
"def plot_recall_and_power_vs_effect_size(axis, sample_size, alpha=0.05): \n",
" min_effect_size = 0.025\n",
" max_effect_size = 1.0\n",
" delta_effect_size = 0.025\n",
" effect_sizes = np.arange(min_effect_size, max_effect_size+delta_effect_size, delta_effect_size)\n",
" recalls = [compute_recall_FDR(n=sample_size, mu1=effect_size, alpha=alpha)[0] for effect_size in effect_sizes] \n",
" powers = [compute_power(n=sample_size, alpha=alpha, mu1=effect_size) for effect_size in effect_sizes] \n",
" axis.plot(effect_sizes, recalls, label='recall')\n",
" axis.plot(effect_sizes, powers, label='power')\n",
" axis.set_xlabel('effect size')\n",
" axis.set_xlim([0, max_effect_size]) \n",
" axis.set_ylim([0, 1.1]) \n",
" axis.legend()\n",
"\n",
"def plot_recall_and_power(): \n",
" sample_sizes = [1, 10, 100, 1000]\n",
" fig, axes = plt.subplots(len(sample_sizes), 1)\n",
" fig.subplots_adjust(hspace=0.4)\n",
" fig.set_size_inches(10, 20)\n",
" for i, sample_size in enumerate(sample_sizes):\n",
" axis = axes[i]\n",
" axis.set_title(f'sample size = {sample_size}')\n",
" plot_recall_and_power_vs_effect_size(axis, sample_size)\n",
" \n",
"plot_recall_and_power()"
]
}
],
"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": "3.9.7"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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