├── .gitignore ├── README.md ├── rate.ipynb └── requirements.txt /.gitignore: -------------------------------------------------------------------------------- 1 | .ipynb_checkpoints/ 2 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Bayesian AB Tests Examples 2 | 3 | Introductory examples for Bayesian AB Testing in Python. 4 | 5 | 6 | ## Install 7 | 8 | `pip install -r requirements` 9 | 10 | 11 | ## Files 12 | 13 | `rate.ipynb`: choosing the best movie adversing picture optimizing click-through rate (explanation of the code in [this post](https://medium.com/@thibalbo/coding-bayesian-ab-tests-in-python-e89356b3f4bd)) -------------------------------------------------------------------------------- /rate.ipynb: -------------------------------------------------------------------------------- 1 | { 2 | "cells": [ 3 | { 4 | "cell_type": "code", 5 | "execution_count": 1, 6 | "metadata": {}, 7 | "outputs": [ 8 | { 9 | "name": "stdout", 10 | "output_type": "stream", 11 | "text": [ 12 | "Optimization terminated successfully.\n", 13 | " Current function value: 9.788161\n", 14 | " Iterations: 6\n", 15 | " Function evaluations: 10\n", 16 | " Gradient evaluations: 10\n" 17 | ] 18 | }, 19 | { 20 | "name": "stderr", 21 | "output_type": "stream", 22 | "text": [ 23 | "100%|██████████| 50000/50000 [00:15<00:00, 3242.32it/s]\n" 24 | ] 25 | } 26 | ], 27 | "source": [ 28 | "%matplotlib inline\n", 29 | "import pymc3 as pm\n", 30 | "import seaborn as sb\n", 31 | "from theano import config\n", 32 | "config.warn.round=False\n", 33 | "\n", 34 | "n = 1000\n", 35 | "obs_v1 = 680\n", 36 | "obs_v2 = 700\n", 37 | "\n", 38 | "with pm.Model() as model: # context management\n", 39 | " # define priors\n", 40 | " prior_v1 = pm.Beta('prior_v1', alpha=2, beta=2)\n", 41 | " prior_v2 = pm.Beta('prior_v2', alpha=2, beta=2)\n", 42 | "\n", 43 | " # define likelihood\n", 44 | " like_v1 = pm.Binomial('like_v1', n=n, p=prior_v1, observed=obs_v1)\n", 45 | " like_v2 = pm.Binomial('like_v2', n=n, p=prior_v2, observed=obs_v2)\n", 46 | " \n", 47 | " # define metrics\n", 48 | " pm.Deterministic('difference', prior_v2 - prior_v1)\n", 49 | " pm.Deterministic('relation', (prior_v2/prior_v1) - 1)\n", 50 | "\n", 51 | " # inference\n", 52 | " trace = pm.sample(draws=50000, step=pm.Metropolis(), start=pm.find_MAP(), progressbar=True)" 53 | ] 54 | }, 55 | { 56 | "cell_type": "code", 57 | "execution_count": 2, 58 | "metadata": {}, 59 | "outputs": [ 60 | { 61 | "data": { 62 | "image/png": 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Tx/ywRzK8lZeX4z//+Q+ef/55rFq1Cn/5y1/wP//zP/0+TyqVorOzp3yxxWJx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CK6ZwgMmvY70UyNC0VFbZPDk/UB8eEoq1ZbzftwZVBiuM0QsPRk7xaKbSuGYbwqEuIrfXoGW84d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\nYBREkYFENZDavXs37HY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63 | "text/plain": [ 64 | "" 65 | ] 66 | }, 67 | "metadata": {}, 68 | "output_type": "display_data" 69 | } 70 | ], 71 | "source": [ 72 | "_ = pm.traceplot(trace[1000:], grid=True)" 73 | ] 74 | }, 75 | { 76 | "cell_type": "code", 77 | "execution_count": 3, 78 | "metadata": {}, 79 | "outputs": [ 80 | { 81 | "data": { 82 | "image/png": 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zZssarGxsqN3lGWo91p2aFd1J0uQN54ohDajdpTd/zPkQlcoKRael5Yh38A6q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\n", 83 | "text/plain": [ 84 | "" 85 | ] 86 | }, 87 | "metadata": {}, 88 | "output_type": "display_data" 89 | } 90 | ], 91 | "source": [ 92 | "_ = pm.plot_posterior(trace[1000:], varnames=['difference', 'relation'], \n", 93 | " ref_val=0, color='#87ceeb')" 94 | ] 95 | } 96 | ], 97 | "metadata": { 98 | "kernelspec": { 99 | "display_name": "Python 3", 100 | "language": "python", 101 | "name": "python3" 102 | }, 103 | "language_info": { 104 | "codemirror_mode": { 105 | "name": "ipython", 106 | "version": 3 107 | }, 108 | "file_extension": ".py", 109 | "mimetype": "text/x-python", 110 | "name": "python", 111 | "nbconvert_exporter": "python", 112 | "pygments_lexer": "ipython3", 113 | "version": "3.6.0" 114 | } 115 | }, 116 | "nbformat": 4, 117 | "nbformat_minor": 2 118 | } 119 | -------------------------------------------------------------------------------- /requirements.txt: -------------------------------------------------------------------------------- 1 | appnope==0.1.0 2 | bleach==1.5.0 3 | cycler==0.10.0 4 | decorator==4.0.11 5 | entrypoints==0.2.2 6 | h5py==2.7.0 7 | html5lib==0.999 8 | ipykernel==4.6.1 9 | ipython==6.1.0 10 | ipython-genutils==0.2.0 11 | ipywidgets==6.0.0 12 | jedi==0.10.2 13 | Jinja2==2.9.6 14 | joblib==0.11 15 | jsonschema==2.6.0 16 | jupyter==1.0.0 17 | jupyter-client==5.1.0 18 | jupyter-console==5.1.0 19 | jupyter-core==4.3.0 20 | Mako==1.0.6 21 | MarkupSafe==0.23 22 | matplotlib==2.0.2 23 | mistune==0.7.4 24 | nbconvert==5.2.1 25 | nbformat==4.3.0 26 | notebook==5.0.0 27 | numpy==1.13.0 28 | pandas==0.20.2 29 | pandocfilters==1.4.1 30 | patsy==0.4.1 31 | pexpect==4.2.1 32 | pickleshare==0.7.4 33 | prompt-toolkit==1.0.14 34 | ptyprocess==0.5.1 35 | Pygments==2.2.0 36 | pygpu==0.6.8 37 | pymc3==3.1 38 | pyparsing==2.1.4 39 | python-dateutil==2.6.0 40 | pytz==2017.2 41 | pyzmq==16.0.2 42 | qtconsole==4.3.0 43 | scipy==0.19.1 44 | seaborn==0.7.1 45 | simplegeneric==0.8.1 46 | six==1.10.0 47 | terminado==0.6 48 | testpath==0.3 49 | Theano==0.9.0 50 | tornado==4.5.1 51 | tqdm==4.14.0 52 | traitlets==4.3.2 53 | wcwidth==0.1.7 54 | widgetsnbextension==2.0.0 55 | --------------------------------------------------------------------------------