{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Inferential statistics (dataset 2)\n", "Often, we are not only interested in describing our data with descriptive statistics like the mean and standard deviation, but want to know whether two or more sets of measurements are likely to come from the same underlying distribution. We want to draw inferences from the data. This is what inferential statistics is about.\n", "\n", "To learn how to do this in python, let's use some example data:\n", "\n", "To test whether a new wonder drug increases the eye sight, Linda and Anabel ran the following experiment with student subjects:\n", "\n", "Experimental subjects were injected a saline solution containing 1nM of the wonder drug. Control subjects were injected saline without the drug. \n", "The drug is only effective for an hour or so. To assess the effect of the drug, eye sight was scored by testing the subjects' ability to read small text within one hour of drug injection.\n", "\n", "However, Linda and Anabel used two different experimental designs:\n", "1. Linda tested each student on ten consecutive days and measured the performance only after the experiment. She used 50 control (saline only) and 50 experimental subjects (saline+drug) - so 100 subjects in total.\n", "2. Anabel only performed a single test per subject, but she measured the eye sight 30 minutes before and 30 minutes after the treatment. She tested 60 different subjects.\n", "\n", "Our task is now to decide whether the wonder drug really improves eye sight as tested in these two sets of experiments.\n", "\n", "Let's look at the second dataset." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import scipy\n", "\n", "plt.style.use('ncb.mplstyle')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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animalscore_beforescore_aftertreatment
0014.2486919.7764870
119.9436568.8540630
2212.7308156.3969230
3314.4896249.4775860
4411.63807810.5012590
...............
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979712.31810012.7451231
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999912.62190318.0888841
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100 rows × 4 columns

\n", "
" ], "text/plain": [ " animal score_before score_after treatment\n", "0 0 14.248691 9.776487 0\n", "1 1 9.943656 8.854063 0\n", "2 2 12.730815 6.396923 0\n", "3 3 14.489624 9.477586 0\n", "4 4 11.638078 10.501259 0\n", ".. ... ... ... ...\n", "95 95 13.320677 16.738985 1\n", "96 96 14.809317 18.222113 1\n", "97 97 12.318100 12.745123 1\n", "98 98 12.204639 16.840564 1\n", "99 99 12.621903 18.088884 1\n", "\n", "[100 rows x 4 columns]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load and explore the data\n", "df2 = pd.read_csv('dat/5.03_inferential_stats_design2.csv') # Anabel's data\n", "display(df2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What is our _Null Hypothesis_, what is our _Alternative Hypothesis_?\n", "\n", "- Null hypothesis:\n", "- Alternative hypothesis:\n", "\n", "We should also formulate hypotheses and test them for the control data. Why?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the data:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Data from design 2\n", "experiment = df2[df2['treatment']==1]\n", "control = df2[df2['treatment']==0]\n", "\n", "ax = plt.subplot(121)\n", "plt.plot(control[['score_before', 'score_after']].T, 'o-k', alpha=0.2)\n", "plt.xticks([0, 1], ['Before', 'After'])\n", "plt.xlim(-0.2, 1.2)\n", "plt.ylabel('Score [%]')\n", "plt.title('Control')\n", "\n", "plt.subplot(122, sharey=ax)\n", "plt.plot(experiment[['score_before', 'score_after']].T, 'o-r', alpha=0.2)\n", "plt.xticks([0, 1], ['Before', 'After'])\n", "plt.xlim(-0.2, 1.2)\n", "plt.yticks([8, 12, 16, 20])\n", "plt.title('Experiment')\n", "plt.suptitle('Design2')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Are all samples independent? Are they paired or unpaired?\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Is the data normally distributed?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Histogram the data\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mini exercise: Test for normality" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# your solution here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mini Exercise: Run the tests\n", "We now know all we need to know about our samples to select the correct test:\n", "- paired or unpaired: ?\n", "- normal: ?\n", "- homoscedasticity: ?\n", "- one/two-sided: ?\n", "\n", "Check the docs to figure out how to use the correct test:\n", "- unpaired (independent):\n", " - parametric: `scipy.stats.ttest_ind` ([docs](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ttest_ind.html))\n", " - non-parametric (for non-normal data): `scipy.stats.mannwhitneyu` ([docs](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.mannwhitneyu.html))\n", "- paired (or related):\n", " - parametric: `scipy.stats.ttest_rel` ([doc](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ttest_rel.html))\n", " - non-parametric (for non-normal data): `scipy.stats.wilcoxon` ([doc](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.wilcoxon.html))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# your solution here" ] } ], "metadata": { "interpreter": { "hash": "7ea0ec616133ead53c1908c8f6539f5c0cb9b2f78368e2bb6ab3f847e89ca400" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 4 }