Confidence intervals
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 576x864 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"%matplotlib inline\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"import scipy.stats\n", | |
"\n", | |
"mu = 5 # Unknown, to be estimated\n", | |
"sigma = 2 # Known\n", | |
"\n", | |
"num_experiments = 50\n", | |
"num_samples_per_experiment = 20\n", | |
"\n", | |
"samples = []\n", | |
"intervals = []\n", | |
"\n", | |
"fig = plt.figure(figsize=(8, 12))\n", | |
"\n", | |
"# Plot the true mean\n", | |
"plt.axvline(mu, linestyle='dashed', linewidth=2, alpha=0.5, label='True mean')\n", | |
"\n", | |
"green_label = False\n", | |
"purple_label = True\n", | |
"\n", | |
"# For each experiment\n", | |
"for i in range(num_experiments):\n", | |
" # Draw some random samples from N(mu, sigma**2) (what we observe)\n", | |
" samples = scipy.stats.norm.rvs(loc=mu, scale=sigma, size=num_samples_per_experiment)\n", | |
"\n", | |
" # Generate an alpha-confidence interval for mu\n", | |
" alpha = 0.9\n", | |
" mean = samples.mean()\n", | |
" l, r = scipy.stats.norm.interval(alpha, loc=mean, scale=sigma/np.sqrt(num_samples_per_experiment))\n", | |
"\n", | |
" # Plot the observations\n", | |
" label = 'Samples' if i == 0 else None\n", | |
" plt.scatter(samples, [[i] * num_samples_per_experiment], s=25, c='orange', alpha=0.5, label=label)\n", | |
"\n", | |
" # Plot the estimated mean\n", | |
" label = 'Estimated mean' if i == 0 else None\n", | |
" plt.scatter([mean], [i], s=25, c='red', label=label)\n", | |
"\n", | |
" # Plot the confidence interval of the true mean\n", | |
" color = 'green' if l < mu and mu < r else 'purple'\n", | |
"\n", | |
" if color == 'green' and not green_label:\n", | |
" label = 'Confidence interval (success)'\n", | |
" green_label = True\n", | |
" purple_label = False\n", | |
" elif color == 'purple' and not purple_label:\n", | |
" label = 'Confidence interval (failure)'\n", | |
" purple_label = True\n", | |
" else:\n", | |
" label = None\n", | |
"\n", | |
" plt.hlines(i, l, r, color=color, linewidth=4, alpha=0.5, label=label)\n", | |
"\n", | |
"# Set the plot legend\n", | |
"plt.legend(bbox_to_anchor=(0, 1, 1, 0.125), loc='upper center', borderaxespad=0, ncol=1)\n", | |
"\n", | |
"axes = plt.gca()\n", | |
"axes.set_xlim([mu - 3*sigma, mu + 3*sigma])\n", | |
"axes.get_yaxis().set_ticks([])\n", | |
"\n", | |
"plt.tight_layout()\n", | |
"plt.savefig('confidence_intervals', bbox_inches='tight', dpi=200)" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"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": "3.8.0" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 4 | |
} |
Author
marcromani
commented
Jan 6, 2021
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