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@Lipen
Created November 5, 2016 18:32
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Nov 5th 2016, Statistics Practice - beta(alpha) distribution
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy.stats import kstest\n",
"import matplotlib.pyplot as plt\n",
"\n",
"ns = [10, 40, 100]\n",
"alphas = np.arange(0, 1 + 1e-6, 0.01)\n",
"\n",
"# good - from H0 (null)\n",
"# bad - from H1 (alternative)\n",
"# KS - Kolmogorov-Smirnov\n",
"# cb - callback\n",
"# stat - statistic = Dn\n",
"# emp - empirical\n",
"\n",
"\n",
"def ecdf(data):\n",
" m = len(data)\n",
" xs = np.sort(data)\n",
" ys = np.arange(1, m + 1) / m\n",
" return xs, ys\n",
"\n",
"\n",
"def demo_betaalpha_multitestbad(n, *, m=100, a=None,\n",
" cb_test_good, name_test_good,\n",
" cbs_test_bad, names_test_bad,\n",
" cb_alter, name_alter):\n",
" name_alter = name_alter.format(a=a)\n",
" k = len(cbs_test_bad)\n",
"\n",
" p_values_good = np.empty(m)\n",
" p_values_bads = np.empty((k, m))\n",
"\n",
" for i in range(m):\n",
" sample_good = np.random.normal(0, 1, n)\n",
" sample_bad = cb_alter(n, a)\n",
"\n",
" stat_good, pvalue_good = cb_test_good(sample_good, 'norm')\n",
" p_values_good[i] = pvalue_good\n",
"\n",
" for j, cb_test_bad in enumerate(cbs_test_bad):\n",
" stat_bad, pvalue_bad = cb_test_bad(sample_bad, 'norm')\n",
" p_values_bads[j, i] = pvalue_bad\n",
"\n",
" alphas_emp = np.array([sum(p_values_good < alpha) for alpha in alphas]) / m\n",
" betas_bads = np.array([\n",
" [sum(p_values_bad < alpha) for alpha in alphas]\n",
" for p_values_bad in p_values_bads\n",
" ]) / m\n",
"\n",
" for name_test_bad, betas_bad in zip(names_test_bad, betas_bads):\n",
" spec = '--' if r'$D_n$' in name_test_bad else ''\n",
" plt.plot(alphas_emp, betas_bad, spec, label='{}\\t'r\"$n = {}$\".format(name_test_bad, n))\n",
"\n",
" plt.xlabel(r'$\\alpha$', fontsize=16)\n",
" plt.ylabel(r'$\\beta$', fontsize=16)\n",
" plt.legend(bbox_to_anchor=(1.02, 1), loc=2)\n",
" plt.grid(True)\n",
" plt.xlim(xmin=0, xmax=1)\n",
" plt.ylim(ymin=0, ymax=1)\n",
" plt.title(r\"$\\beta(\\alpha)$\"' from {}* for {} alternative'.format(name_test_good, name_alter))\n",
"\n",
" print('[+] Demo beta(alpha) from {}* for {} alternative (n={}): OK'.format(name_test_good, name_alter, n))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = [\n",
" (r'$D^+$', lambda xs, d: kstest(xs, d, alternative='less')),\n",
" (r'$D^-$', lambda xs, d: kstest(xs, d, alternative='greater')),\n",
" (r'$D_n$', kstest),\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[+] Demo beta(alpha) from KS-test* for N(0.3, 1) alternative (n=10): OK\n",
"[+] Demo beta(alpha) from KS-test* for N(0.3, 1) alternative (n=40): OK\n",
"[+] Demo beta(alpha) from KS-test* for N(0.3, 1) alternative (n=100): OK\n"
]
},
{
"data": {
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l36Goa2GVuz4dfIlay1qAuoZGoSxOdeUpdHfNeHJteov6yO/qXnKKlLJcCPEJSoELRkWx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\n7rvvmvQ8QgiGbxqOg50DXz73pewZMjIhBNMSEvjg/Hneb9aMh+VtQrM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cAAAg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\n4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l19fJjXrp3W4djFu+++W+nzS5ciSU5+jXbtXqFv3z14eztWL369Xn3tD+oezrKnhWWu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\nVZA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PSced58Zd6CZthJOweUu8pA1Ow6RqkZEcuV27nG1+nn8elixx6ojNng0//3lnwlZS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\nT3YAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x4ca9ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# beta(alpha) distribution from KS-test for Normal(a, 1) alternative\n",
"plt.figure(figsize=(8, 6))\n",
"for n in ns:\n",
" demo_betaalpha_multitestbad(\n",
" n, m=1000, a=0.3,\n",
" cb_test_good=kstest,\n",
" name_test_good='KS-test',\n",
" cbs_test_bad=[cb for _, cb in data],\n",
" names_test_bad=[name for name, _ in data],\n",
" cb_alter=lambda n, a: np.random.normal(a, 1, n),\n",
" name_alter='N({a}, 1)')\n",
"plt.show()"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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