Skip to content

Instantly share code, notes, and snippets.

@Lipen
Last active November 17, 2016 16:30
Show Gist options
  • Save Lipen/c4690e9235f544689a1faf699c6dec60 to your computer and use it in GitHub Desktop.
Save Lipen/c4690e9235f544689a1faf699c6dec60 to your computer and use it in GitHub Desktop.
Nov 12th 2016, Statistics Practice - beta(alpha) for simple alternative
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"from cycler import cycler\n",
"from scipy.stats import norm, kstest, gamma\n",
"\n",
"ns = [5, 10, 30]\n",
"alphas = np.arange(0, 1 + 1e-6, 0.01)\n",
"matplotlib.rc('axes', prop_cycle=cycler(color='bbggrrccmmyykk'))\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_L(n, *, m=100, a,\n",
" cb_alter, name_alter, cb_c, **kwargs):\n",
" name_alter = name_alter.format(a=a)\n",
"\n",
" means_bad = np.empty(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",
" means_bad[i] = np.mean(sample_bad)\n",
"\n",
" betas = np.array([sum(means_bad > cb_c(alpha, n)) for alpha in alphas]) / m\n",
"\n",
" plt.plot(alphas, betas, lw=2, label='L 'r'$n = {}$'.format(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\"$\\beta(\\alpha)$\"' for {} alternative'.format(name_alter))\n",
"\n",
" print('[+] Demo beta(alpha) for {} alternative (n={}): OK'.format(name_alter, n))\n",
"\n",
"\n",
"def demo_betaalpha_KS(n, *, m=100, a=None,\n",
" cb_alter, name_alter, cb_test, **kwargs):\n",
" name_alter = name_alter.format(a=a)\n",
"\n",
" p_values_bad = np.empty(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",
" stat_bad, pvalue_bad = cb_test(sample_bad)\n",
" p_values_bad[i] = pvalue_bad\n",
"\n",
" betas = np.array([sum(p_values_bad < alpha) for alpha in alphas]) / m\n",
"\n",
" plt.plot(alphas, betas, '--', lw=2, label='KS 'r'$n = {}$'.format(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\"$\\beta(\\alpha)$\"' for {} alternative'.format(name_alter))\n",
"\n",
" print('[+] Demo beta(alpha) from KS for {} alternative (n={}): OK'.format(name_alter, n))\n",
"\n",
"\n",
"def demo_betaalpha_L_KS(*args, **kwargs):\n",
" demo_betaalpha_L(*args, **kwargs)\n",
" demo_betaalpha_KS(*args, **kwargs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***\n",
"\n",
"#### N(0, 1) alternative"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[+] Demo beta(alpha) for $N(0.3, 1)$ alternative (n=5): OK\n",
"[+] Demo beta(alpha) from KS for $N(0.3, 1)$ alternative (n=5): OK\n",
"[+] Demo beta(alpha) for $N(0.3, 1)$ alternative (n=10): OK\n",
"[+] Demo beta(alpha) from KS for $N(0.3, 1)$ alternative (n=10): OK\n",
"[+] Demo beta(alpha) for $N(0.3, 1)$ alternative (n=30): OK\n",
"[+] Demo beta(alpha) from KS for $N(0.3, 1)$ alternative (n=30): OK\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAAGPCAYAAABbB5GYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x50dbd30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 4))\n",
"for n in ns:\n",
" demo_betaalpha_L_KS(\n",
" n, m=1000, a=0.3,\n",
" cb_alter=lambda n, a: np.random.normal(a, 1, n),\n",
" name_alter='$N({a}, 1)$',\n",
" cb_c=lambda alpha, n: norm.ppf(1 - alpha) / math.sqrt(n),\n",
" cb_test=lambda data: kstest(data, 'norm'))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***\n",
"\n",
"#### $Exp(\\lambda)$ alternative"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[+] Demo beta(alpha) for $Exp(0.5)$ alternative (n=5): OK\n",
"[+] Demo beta(alpha) from KS for $Exp(0.5)$ alternative (n=5): OK\n",
"[+] Demo beta(alpha) for $Exp(0.5)$ alternative (n=10): OK\n",
"[+] Demo beta(alpha) from KS for $Exp(0.5)$ alternative (n=10): OK\n",
"[+] Demo beta(alpha) for $Exp(0.5)$ alternative (n=30): OK\n",
"[+] Demo beta(alpha) from KS for $Exp(0.5)$ alternative (n=30): OK\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAAGPCAYAAABbB5GYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x4db1b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8, 4))\n",
"for n in ns:\n",
" demo_betaalpha_L_KS(\n",
" n, m=1000, a=0.5,\n",
" cb_alter=lambda n, a: np.random.exponential(1/a, n),\n",
" name_alter='$Exp({a})$',\n",
" cb_c=lambda alpha, n: gamma.ppf(1 - alpha, n) / n,\n",
" cb_test=lambda data: kstest(data, 'expon'))\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
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment