{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Aggregated model" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from prayas import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The experiment consists of multiple variants and in each variant the visitor has one ore more options to choose, but we only observe the overall success. A detailed explanation of the methodology is available in *[Bayesian A/B Testing for Business Decisions](https://arxiv.org/abs/2003.02769)* by Shafi Kamalbasha and Manuel J. A. Eugster (2020)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This data is the same as for the multi-option model -- the experiment consists of two variants with each variant having `9` different options from which the visitor can choose. However, we are going to simulate that we are only observing the aggregated measures. The model is setup as:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "m = AggregateModel(variants=[\"Original\", \"Progressive\"],\n", " baseline=\"Original\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To simulate the aggregated observations, we sum up the measures also used in the multi-option model example:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Revenue of the 9 options per variant:\n", "rev_a = [27.95, 47.95, 63.95,\n", " 35.95, 63.95, 79.95,\n", " 79.95, 151.95, 223.95]\n", "rev_b = [34.95, 59.95, 79.95,\n", " 37.95, 67.95, 84.95,\n", " 69.95, 132.95, 195.95]\n", "\n", "# Conversions of the 9 options per variant:\n", "conv_a = [50, 5, 5, 28, 7, 5, 20, 1, 6]\n", "conv_b = [28, 3, 6, 30, 6, 5, 27, 6, 3]\n", "\n", "# Aggregates:\n", "totals_rev_a = np.sum([a*b for a, b in zip(rev_a, conv_a)])\n", "totals_rev_b = np.sum([a*b for a, b in zip(rev_b, conv_b)])\n", "\n", "totals_conv_a = np.sum(conv_a)\n", "totals_conv_b = np.sum(conv_b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compared to the `one option model` and the `multi-option model`, the measures are also an outcome of the experiment and set together with the result:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "m.add_measure(\"revenue\", [totals_rev_a, totals_rev_b])\n", "m.add_measure(\"gain\", [totals_rev_a, totals_rev_b], [-0.06*9, -0.04*9])\n", "\n", "m.set_result([totals_conv_a, totals_conv_b], [8067, 8082])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Investigate the result:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get details on the result:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
VariantMeasureProbabilityToBeBestProbabilityToBeatBaselineUpliftFromBaselinePotentialLossFromBaselineMaxUpliftMaxPotentialLoss
0Progressivegain0.871500.8654551.8237933.27609452.1062983.219060
1Originalconversion0.799550.000000.0000000.00000011.4280421.462822
2Originalrevenue0.510100.000000.0000000.0000000.5044267.058403
3Progressiverevenue0.489900.49145-0.5545037.391586-0.5018957.456368
4Progressiveconversion0.200450.19300-10.36126411.665751-10.25598411.554384
5Originalgain0.128500.000000.0000000.000000-34.25650336.409115
\n", "
" ], "text/plain": [ " Variant Measure ProbabilityToBeBest ProbabilityToBeatBaseline \\\n", "0 Progressive gain 0.87150 0.86545 \n", "1 Original conversion 0.79955 0.00000 \n", "2 Original revenue 0.51010 0.00000 \n", "3 Progressive revenue 0.48990 0.49145 \n", "4 Progressive conversion 0.20045 0.19300 \n", "5 Original gain 0.12850 0.00000 \n", "\n", " UpliftFromBaseline PotentialLossFromBaseline MaxUplift MaxPotentialLoss \n", "0 51.823793 3.276094 52.106298 3.219060 \n", "1 0.000000 0.000000 11.428042 1.462822 \n", "2 0.000000 0.000000 0.504426 7.058403 \n", "3 -0.554503 7.391586 -0.501895 7.456368 \n", "4 -10.361264 11.665751 -10.255984 11.554384 \n", "5 0.000000 0.000000 -34.256503 36.409115 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.score_baseline()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The comparison with the multi-options model shows a similar result." ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }