From 83b7a90d4916ebce9ef364655254d1ebf12e33d6 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Bertrand=20N=C3=A9ron?= <bneron@pasteur.fr> Date: Thu, 17 Oct 2024 14:29:09 +0200 Subject: [PATCH] fix path in pingouin_scipy_cours --- notebooks/Courses/pingouin_scipy_cours.ipynb | 1722 ++---------------- notebooks/{ => Courses}/scipy_material.py | 0 2 files changed, 112 insertions(+), 1610 deletions(-) rename notebooks/{ => Courses}/scipy_material.py (100%) diff --git a/notebooks/Courses/pingouin_scipy_cours.ipynb b/notebooks/Courses/pingouin_scipy_cours.ipynb index 85a9a20..c22d9d6 100644 --- a/notebooks/Courses/pingouin_scipy_cours.ipynb +++ b/notebooks/Courses/pingouin_scipy_cours.ipynb @@ -21,7 +21,7 @@ "source": [ "<h1 align='center'>Statistical tests with the Pingouin and SciPy libraries</h1>\n", "\n", - "<div style='text-align:center'><img width=600 src='https://github.com/raphaelvallat/pingouin/raw/master/docs/pictures/logo_pingouin.png' /></div>\n", + "<div style='text-align:center'><img width=600 src='https://pypi-camo.freetls.fastly.net/f007bb509f4d58bd383e8b7c2494a413cac7397f/68747470733a2f2f70696e676f75696e2d73746174732e6f72672f6275696c642f68746d6c2f5f696d616765732f6c6f676f5f70696e676f75696e2e706e67'/></div>\n", "<div style='text-align:center'><img width=300 src='https://docs.scipy.org/doc/scipy/_static/logo.svg' /></div>\n", "\n", "The [Pingouin](https://pingouin-stats.org/build/html/index.html) library features a selection of commonly-used statistical operations. The provided functions have verbose output and can be used independently of one another." @@ -29,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "1f8a7a30-48e3-4f5a-8836-3912b049b5bb", "metadata": {}, "outputs": [], @@ -47,7 +47,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "42342d74", "metadata": {}, "outputs": [], @@ -133,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "78db8576-5c83-4967-97b8-19dd4ff9b3b5", "metadata": {}, "outputs": [], @@ -154,18 +154,10 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "898957c8", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "skipping\n" - ] - } - ], + "outputs": [], "source": [ "%%script echo skipping\n", "\n", @@ -191,106 +183,10 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "0a56b871-8335-42b1-b8e0-f1cdc68b5281", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>total_bill</th>\n", - " <th>tip</th>\n", - " <th>size</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>count</th>\n", - " <td>244.000000</td>\n", - " <td>244.000000</td>\n", - " <td>244.000000</td>\n", - " </tr>\n", - " <tr>\n", - " <th>mean</th>\n", - " <td>19.785943</td>\n", - " <td>2.998279</td>\n", - " <td>2.569672</td>\n", - " </tr>\n", - " <tr>\n", - " <th>std</th>\n", - " <td>8.902412</td>\n", - " <td>1.383638</td>\n", - " <td>0.951100</td>\n", - " </tr>\n", - " <tr>\n", - " <th>min</th>\n", - " <td>3.070000</td>\n", - " <td>1.000000</td>\n", - " <td>1.000000</td>\n", - " </tr>\n", - " <tr>\n", - " <th>25%</th>\n", - " <td>13.347500</td>\n", - " <td>2.000000</td>\n", - " <td>2.000000</td>\n", - " </tr>\n", - " <tr>\n", - " <th>50%</th>\n", - " <td>17.795000</td>\n", - " <td>2.900000</td>\n", - " <td>2.000000</td>\n", - " </tr>\n", - " <tr>\n", - " <th>75%</th>\n", - " <td>24.127500</td>\n", - " <td>3.562500</td>\n", - " <td>3.000000</td>\n", - " </tr>\n", - " <tr>\n", - " <th>max</th>\n", - " <td>50.810000</td>\n", - " <td>10.000000</td>\n", - " <td>6.000000</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " total_bill tip size\n", - "count 244.000000 244.000000 244.000000\n", - "mean 19.785943 2.998279 2.569672\n", - "std 8.902412 1.383638 0.951100\n", - "min 3.070000 1.000000 1.000000\n", - "25% 13.347500 2.000000 2.000000\n", - "50% 17.795000 2.900000 2.000000\n", - "75% 24.127500 3.562500 3.000000\n", - "max 50.810000 10.000000 6.000000" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "dataframe = pg.read_dataset('tips')\n", "dataframe.describe()\n", @@ -311,24 +207,13 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "e60ba8f3", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "scipy_material.illustration_confidence_interval(19.785943, stats.sem(dataframe['total_bill']))" ] @@ -345,7 +230,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "e911524f", "metadata": { "hidden": true @@ -360,21 +245,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "2494dc66-d5bf-4235-b2f7-02daf5da7d2f", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(18.668922839262997, 20.902962406638643)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "distribution_of_the_mean.interval(0.95)" ] @@ -389,7 +263,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "1fad2898-81e4-4814-b496-146f54d21e29", "metadata": {}, "outputs": [], @@ -407,23 +281,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "1341b01d", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.2704798697499871" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# probability density function\n", "distribution_of_the_mean.pdf(19.0)" @@ -431,23 +294,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "d6bbb149", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0839406210836206" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# cumulative distribution function\n", "distribution_of_the_mean.cdf(19.0)" @@ -473,23 +325,12 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "62f75d44", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "1.9599639845400545" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "alpha = 0.05\n", "z = stats.norm().isf(alpha / 2)\n", @@ -510,20 +351,12 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "99fe274d", "metadata": { "hidden": true }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Bills are 19.79 ± 1.12 on average\n" - ] - } - ], + "outputs": [], "source": [ "print(f'Bills are {mu:.2f} ± {z * sigma:.2f} on average')" ] @@ -550,7 +383,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "11cb5a3f-c48d-457d-9134-c56665b5e169", "metadata": {}, "outputs": [], @@ -572,24 +405,13 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "578edd4a-bcb1-4f9e-a8ba-d3e63bbabb71", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# plot the histogram\n", "import seaborn as sns\n", @@ -632,24 +454,13 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "5b1b8872", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.7387575212859724" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "statistic, pvalue = stats.kstest(X, lognorm.cdf)\n", "pvalue" @@ -700,7 +511,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "8346ad8e", "metadata": { "hidden": true @@ -717,24 +528,13 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "404476b6", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "scipy_material.illustration_onesided_probabilitymass(z, N, onesided_pvalue)" ] @@ -756,7 +556,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "b162e92e", "metadata": { "hidden": true, @@ -766,20 +566,7 @@ }, "tags": [] }, - "outputs": [ - { - "data": { - "text/html": [ - "<style>table#typeoferrors { text-align: center; font-size: large; margin-left: 1px;} #typeoferrors td { text-align: center; font-size: large; border-right: solid 1px black; border-bottom: solid 1px black; } #typeoferrors td.border { font-size: small; border-left: solid 1px black; border-top: solid 1px black; } #typeoferrors td.wrong { color: orange; } #typeoferrors td.ok { color: green; } #typeoferrors span.sub { font-size: x-small; } #typeoferrors td.footnote { text-align: left; font-size: xx-small; border-right: 0px; border-bottom: 0px; } </style> <table id=\"typeoferrors\"> <tr><td rowspan=\"2\" colspan=\"2\"></td><td colspan=\"2\" class=\"border\">Conclusion about $H_0$<br />from the statistical test</td></tr> <tr><td>accept</td><td>reject</td></tr> <tr><td rowspan=\"2\" class=\"border\">Truth about $H_0$<br />in the population</td><td>true</td><td class=\"ok\">Correct</td><td class=\"wrong\">Type 1 error<br /><span class=\"sub\">observe difference<br />when none exists</span></td></tr> <tr><td>false</td><td class=\"wrong\">Type 2 error<br /><span class=\"sub\">fail to observe difference<br />when one exists</span></td><td class=\"ok\">Correct</td></tr> <tr><td colspan=\"4\" class=\"footnote\"> <a href=\"https://faculty.nps.edu/rbassett/_book/hypothesis-testing-one-sample.html#fig:errorsHypTesting\">https://faculty.nps.edu/rbassett/_book/hypothesis-testing-one-sample.html#fig:errorsHypTesting</a> </td></tr> </table>\n" - ], - "text/plain": [ - "<IPython.core.display.HTML object>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%%html\n", "<style>table#typeoferrors { text-align: center; font-size: large; margin-left: 1px;} #typeoferrors td { text-align: center; font-size: large; border-right: solid 1px black; border-bottom: solid 1px black; } #typeoferrors td.border { font-size: small; border-left: solid 1px black; border-top: solid 1px black; } #typeoferrors td.wrong { color: orange; } #typeoferrors td.ok { color: green; } #typeoferrors span.sub { font-size: x-small; } #typeoferrors td.footnote { text-align: left; font-size: xx-small; border-right: 0px; border-bottom: 0px; } </style> <table id=\"typeoferrors\"> <tr><td rowspan=\"2\" colspan=\"2\"></td><td colspan=\"2\" class=\"border\">Conclusion about $H_0$<br />from the statistical test</td></tr> <tr><td>accept</td><td>reject</td></tr> <tr><td rowspan=\"2\" class=\"border\">Truth about $H_0$<br />in the population</td><td>true</td><td class=\"ok\">Correct</td><td class=\"wrong\">Type 1 error<br /><span class=\"sub\">observe difference<br />when none exists</span></td></tr> <tr><td>false</td><td class=\"wrong\">Type 2 error<br /><span class=\"sub\">fail to observe difference<br />when one exists</span></td><td class=\"ok\">Correct</td></tr> <tr><td colspan=\"4\" class=\"footnote\"> <a href=\"https://faculty.nps.edu/rbassett/_book/hypothesis-testing-one-sample.html#fig:errorsHypTesting\">https://faculty.nps.edu/rbassett/_book/hypothesis-testing-one-sample.html#fig:errorsHypTesting</a> </td></tr> </table>" @@ -808,24 +595,13 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "67d046f0-ca64-4a12-8e32-58b8e7e142a0", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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<th>T</th>\n", - " <th>dof</th>\n", - " <th>alternative</th>\n", - " <th>p-val</th>\n", - " <th>CI95%</th>\n", - " <th>cohen-d</th>\n", - " <th>BF10</th>\n", - " <th>power</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>T-test</th>\n", - " <td>0.602406</td>\n", - " <td>7</td>\n", - " <td>two-sided</td>\n", - " <td>0.565899</td>\n", - " <td>[31.95, 80.4]</td>\n", - " <td>0.212983</td>\n", - " <td>0.391</td>\n", - " <td>0.08203</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " T dof alternative p-val CI95% cohen-d BF10 \\\n", - "T-test 0.602406 7 two-sided 0.565899 [31.95, 80.4] 0.212983 0.391 \n", - "\n", - " power \n", - "T-test 0.08203 " - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pg.ttest(x, mu)" ] @@ -994,23 +710,12 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "b471633d-c9ad-455e-84e1-d32af085b32a", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "TtestResult(statistic=0.6024056396957578, pvalue=0.5658990587680466, df=7)" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "stats.ttest_1samp(x, mu)" ] @@ -1049,7 +754,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "8cc7f8c2-75d3-447f-b27c-4ed6350e4075", "metadata": {}, "outputs": [], @@ -1069,70 +774,10 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "id": "7dae4d48-36b9-40df-87fa-a3c73ca42a19", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: 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"source": [ "pg.ttest(x1, x2)" ] @@ -1151,23 +796,12 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "id": "6231e214-ac36-4c4f-8a16-e1551c8484b4", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "TtestResult(statistic=-1.96174329619957, pvalue=0.06998888828308221, df=14.0)" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "stats.ttest_ind(x1, x2)" ] @@ -1220,70 +854,10 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "id": "70ee9cae-b8ad-4b51-b443-03befe14606c", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>T</th>\n", - " <th>dof</th>\n", - " <th>alternative</th>\n", - " <th>p-val</th>\n", - " <th>CI95%</th>\n", - " <th>cohen-d</th>\n", - " <th>BF10</th>\n", - " <th>power</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>T-test</th>\n", - " <td>-2.361598</td>\n", - " <td>7</td>\n", - " <td>two-sided</td>\n", - " <td>0.050223</td>\n", - " <td>[-52.96, 0.03]</td>\n", - " <td>0.980872</td>\n", - " <td>1.892</td>\n", - " <td>0.664343</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " T dof alternative p-val CI95% cohen-d BF10 \\\n", - "T-test -2.361598 7 two-sided 0.050223 [-52.96, 0.03] 0.980872 1.892 \n", - "\n", - " power \n", - "T-test 0.664343 " - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pg.ttest(x1, x2, paired=True)" ] @@ -1326,28 +900,13 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": null, "id": "3beb1fbb-a1ac-40aa-b4ce-b97f151392f5", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "c9cd92a37628451bbcadc336f0bdb0bf", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "interactive(children=(FloatSlider(value=0.5, description='cohen_d', max=4.0), Output()), _dom_classes=('widget…" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "scipy_material.illustration_cohen_d();" ] @@ -1382,24 +941,13 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": null, "id": "2ba983bc-ef4c-4a15-ac23-776fffd88afb", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "text/plain": [ - "-0.980871648099785" - ] - }, - "execution_count": 30, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pg.compute_effsize(x1, x2)" ] @@ -1456,7 +1004,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": null, "id": "e917eacc-d454-4476-ac0e-404d67ba5f47", "metadata": {}, "outputs": [], @@ -1477,125 +1025,10 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": null, "id": "47010494-cac1-4af9-9490-77fd0cf0d5b8", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>0</th>\n", - " <th>1</th>\n", - " <th>2</th>\n", - " <th>3</th>\n", - " <th>4</th>\n", - " <th>5</th>\n", - " <th>6</th>\n", - " <th>7</th>\n", - " <th>8</th>\n", - " <th>9</th>\n", - " <th>...</th>\n", - " <th>20</th>\n", - " <th>21</th>\n", - " <th>22</th>\n", - " <th>23</th>\n", - " <th>24</th>\n", - " <th>25</th>\n", - " <th>26</th>\n", - " <th>27</th>\n", - " <th>28</th>\n", - " <th>29</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>response</th>\n", - " <td>85</td>\n", - " <td>86</td>\n", - " <td>88</td>\n", - " <td>75</td>\n", - " <td>78</td>\n", - " <td>94</td>\n", - " <td>98</td>\n", - " <td>79</td>\n", - " <td>71</td>\n", - " <td>80</td>\n", - " <td>...</td>\n", - " <td>79</td>\n", - " <td>78</td>\n", - " <td>88</td>\n", - " <td>94</td>\n", - " <td>92</td>\n", - " <td>85</td>\n", - " <td>83</td>\n", - " <td>85</td>\n", - " <td>82</td>\n", - " <td>81</td>\n", - " </tr>\n", - " <tr>\n", - " <th>group</th>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>A</td>\n", - " <td>...</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " <td>C</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "<p>2 rows × 30 columns</p>\n", - "</div>" - ], - "text/plain": [ - " 0 1 2 3 4 5 6 7 8 9 ... 20 21 22 23 24 25 \\\n", - "response 85 86 88 75 78 94 98 79 71 80 ... 79 78 88 94 92 85 \n", - "group A A A A A A A A A A ... C C C C C C \n", - "\n", - " 26 27 28 29 \n", - "response 83 85 82 81 \n", - "group C C C C \n", - "\n", - "[2 rows x 30 columns]" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "import pandas as pd\n", "\n", @@ -1617,63 +1050,10 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": null, "id": "e36f108d-4674-4a1c-89d1-eca3360b1ae0", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>Source</th>\n", - " <th>ddof1</th>\n", - " <th>ddof2</th>\n", - " <th>F</th>\n", - " <th>p-unc</th>\n", - " <th>np2</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>0</th>\n", - " <td>group</td>\n", - " <td>2</td>\n", - " <td>27</td>\n", - " <td>2.357532</td>\n", - " <td>0.113848</td>\n", - " <td>0.14867</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " Source ddof1 ddof2 F p-unc np2\n", - "0 group 2 27 2.357532 0.113848 0.14867" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pg.anova(df, dv='response', between='group')" ] @@ -1690,23 +1070,12 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": null, "id": "2bf0aafa-d23f-44fe-b9e0-cf4bf13e7314", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "F_onewayResult(statistic=2.3575322551335636, pvalue=0.11384795345837218)" - ] - }, - "execution_count": 34, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "stats.f_oneway(A, B, C)" ] @@ -1765,7 +1134,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": null, "id": "a00e151c-d532-49cf-bfa2-25aa003324cf", "metadata": {}, "outputs": [], @@ -1782,98 +1151,10 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": null, "id": "e9d46687-c35e-41fb-8452-087c100c8253", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>Source</th>\n", - " <th>SS</th>\n", - " <th>DF</th>\n", - " <th>MS</th>\n", - " <th>F</th>\n", - " <th>p-unc</th>\n", - " <th>np2</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>0</th>\n", - " <td>water</td>\n", - " <td>15.552000</td>\n", - " <td>1</td>\n", - " <td>15.552000</td>\n", - " <td>19.117394</td>\n", - " <td>0.000205</td>\n", - " <td>0.443380</td>\n", - " </tr>\n", - " <tr>\n", - " <th>1</th>\n", - " <td>sun</td>\n", - " <td>21.424667</td>\n", - " <td>2</td>\n", - " <td>10.712333</td>\n", - " <td>13.168203</td>\n", - " <td>0.000138</td>\n", - " <td>0.523208</td>\n", - " </tr>\n", - " <tr>\n", - " <th>2</th>\n", - " <td>water * sun</td>\n", - " <td>5.694000</td>\n", - " <td>2</td>\n", - " <td>2.847000</td>\n", - " <td>3.499693</td>\n", - " <td>0.046376</td>\n", - " <td>0.225791</td>\n", - " </tr>\n", - " <tr>\n", - " <th>3</th>\n", - " <td>Residual</td>\n", - " <td>19.524000</td>\n", - " <td>24</td>\n", - " <td>0.813500</td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " <td>NaN</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " Source SS DF MS F p-unc np2\n", - "0 water 15.552000 1 15.552000 19.117394 0.000205 0.443380\n", - "1 sun 21.424667 2 10.712333 13.168203 0.000138 0.523208\n", - "2 water * sun 5.694000 2 2.847000 3.499693 0.046376 0.225791\n", - "3 Residual 19.524000 24 0.813500 NaN NaN NaN" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pg.anova(plant_data, dv='height', between=['water', 'sun'])" ] @@ -1890,21 +1171,10 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": null, "id": "83732c12-c360-42ae-94cf-06d1bf02247b", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "sns.boxplot(data=plant_data, x='sun', y='height', hue='water');" ] @@ -1919,21 +1189,10 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": null, "id": "ccc23571-46dd-4250-9c11-feb4eeb2b2e1", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "pg.plot_paired(data=plant_data, dv='height', within='water', subject='sun');" ] @@ -2030,7 +1289,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": null, "id": "b24c3e20-6cbc-4f03-b189-780c609a3320", "metadata": {}, "outputs": [], @@ -2062,21 +1321,10 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": null, "id": "7b4317d7-248a-462f-a252-a815215f4072", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1330x410 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "_, axes = plt.subplots(1, 2, figsize=(13.3,4.1))\n", "\n", @@ -2097,24 +1345,13 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": null, "id": "6bcaa795-3a85-4b8c-aad9-d554e244a2ec", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1330x410 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "_, axes = plt.subplots(1, 2, figsize=(13.3,4.1))\n", "\n", @@ -2142,57 +1379,10 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": null, "id": "920395a5-7770-45ed-9bd3-80ff71bda307", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>W</th>\n", - " <th>pval</th>\n", - " <th>normal</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>0</th>\n", - " <td>0.940223</td>\n", - " <td>0.092226</td>\n", - " <td>True</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " W pval normal\n", - "0 0.940223 0.092226 True" - ] - }, - "execution_count": 42, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pg.normality(x_not_normal)#, method='jarque_bera')" ] @@ -2220,24 +1410,13 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": null, "id": "e964be07-0696-4ff8-844a-3e7d318a7f3a", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1330x410 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "scipy_material.illustration_skewness_kurtosis()" ] @@ -2280,23 +1459,12 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": null, "id": "8a31b653-d891-4f07-ab8b-73562b2ed86d", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 640x480 with 1 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "sns.boxplot(df, y='response', x='group');" ] @@ -2313,57 +1481,10 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": null, "id": "3b2c0d0d-0ab0-4bf7-8128-bcfa4d1a3cec", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>W</th>\n", - " <th>pval</th>\n", - " <th>equal_var</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>levene</th>\n", - " <td>2.080216</td>\n", - " <td>0.144465</td>\n", - " <td>True</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " W pval equal_var\n", - "levene 2.080216 0.144465 True" - ] - }, - "execution_count": 45, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pg.homoscedasticity(df, dv='response', group='group')" ] @@ -2385,23 +1506,12 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": null, "id": "280180fa-4f20-44a6-a463-2ce9b0ad75a4", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "BartlettResult(statistic=3.3024375753550594, pvalue=0.19181598314035977)" - ] - }, - "execution_count": 46, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "stats.bartlett(A, B, C)" ] @@ -2442,21 +1552,10 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": null, "id": "f4a1bcc6-c691-44ff-9932-f34ac5fd9a03", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "<Figure size 1330x410 with 2 Axes>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "scipy_material.illustration_chi2()" ] @@ -2477,178 +1576,10 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": null, "id": "141d0591-b63d-49e1-98e7-2491a6fa5d11", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>total_bill</th>\n", - " <th>tip</th>\n", - " <th>sex</th>\n", - " <th>smoker</th>\n", - " <th>day</th>\n", - " <th>time</th>\n", - " <th>size</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>0</th>\n", - " <td>16.99</td>\n", - " <td>1.01</td>\n", - " <td>Female</td>\n", - " <td>No</td>\n", - " <td>Sun</td>\n", - " <td>Dinner</td>\n", - " <td>2</td>\n", - " </tr>\n", - " <tr>\n", - " <th>1</th>\n", - " <td>10.34</td>\n", - " <td>1.66</td>\n", - " <td>Male</td>\n", - " <td>No</td>\n", - " <td>Sun</td>\n", - " <td>Dinner</td>\n", - " <td>3</td>\n", - " </tr>\n", - " <tr>\n", - " <th>2</th>\n", - " <td>21.01</td>\n", - " <td>3.50</td>\n", - " <td>Male</td>\n", - " <td>No</td>\n", - " <td>Sun</td>\n", - " <td>Dinner</td>\n", - " <td>3</td>\n", - " </tr>\n", - " <tr>\n", - " <th>3</th>\n", - " <td>23.68</td>\n", - " <td>3.31</td>\n", - " <td>Male</td>\n", - " <td>No</td>\n", - " <td>Sun</td>\n", - " <td>Dinner</td>\n", - " <td>2</td>\n", - " </tr>\n", - " <tr>\n", - " <th>4</th>\n", - " <td>24.59</td>\n", - " <td>3.61</td>\n", - " <td>Female</td>\n", - " <td>No</td>\n", - " <td>Sun</td>\n", - " <td>Dinner</td>\n", - " <td>4</td>\n", - " </tr>\n", - " <tr>\n", - " <th>...</th>\n", - " <td>...</td>\n", - " <td>...</td>\n", - " <td>...</td>\n", - " <td>...</td>\n", - " <td>...</td>\n", - " <td>...</td>\n", - " <td>...</td>\n", - " </tr>\n", - " <tr>\n", - " <th>239</th>\n", - " <td>29.03</td>\n", - " <td>5.92</td>\n", - " <td>Male</td>\n", - " <td>No</td>\n", - " <td>Sat</td>\n", - " <td>Dinner</td>\n", - " <td>3</td>\n", - " </tr>\n", - " <tr>\n", - " <th>240</th>\n", - " <td>27.18</td>\n", - " <td>2.00</td>\n", - " <td>Female</td>\n", - " <td>Yes</td>\n", - " <td>Sat</td>\n", - " <td>Dinner</td>\n", - " <td>2</td>\n", - " </tr>\n", - " <tr>\n", - " <th>241</th>\n", - " <td>22.67</td>\n", - " <td>2.00</td>\n", - " <td>Male</td>\n", - " <td>Yes</td>\n", - " <td>Sat</td>\n", - " <td>Dinner</td>\n", - " <td>2</td>\n", - " </tr>\n", - " <tr>\n", - " <th>242</th>\n", - " <td>17.82</td>\n", - " <td>1.75</td>\n", - " <td>Male</td>\n", - " <td>No</td>\n", - " <td>Sat</td>\n", - " <td>Dinner</td>\n", - " <td>2</td>\n", - " </tr>\n", - " <tr>\n", - " <th>243</th>\n", - " <td>18.78</td>\n", - " <td>3.00</td>\n", - " <td>Female</td>\n", - " <td>No</td>\n", - " <td>Thur</td>\n", - " <td>Dinner</td>\n", - " <td>2</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "<p>244 rows × 7 columns</p>\n", - "</div>" - ], - "text/plain": [ - " total_bill tip sex smoker day time size\n", - "0 16.99 1.01 Female No Sun Dinner 2\n", - "1 10.34 1.66 Male No Sun Dinner 3\n", - "2 21.01 3.50 Male No Sun Dinner 3\n", - "3 23.68 3.31 Male No Sun Dinner 2\n", - "4 24.59 3.61 Female No Sun Dinner 4\n", - ".. ... ... ... ... ... ... ...\n", - "239 29.03 5.92 Male No Sat Dinner 3\n", - "240 27.18 2.00 Female Yes Sat Dinner 2\n", - "241 22.67 2.00 Male Yes Sat Dinner 2\n", - "242 17.82 1.75 Male No Sat Dinner 2\n", - "243 18.78 3.00 Female No Thur Dinner 2\n", - "\n", - "[244 rows x 7 columns]" - ] - }, - "execution_count": 48, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "tips = pg.read_dataset('tips')\n", "tips" @@ -2664,67 +1595,10 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": null, "id": "d90e3c9a-e4f5-4f07-b3c2-7bbaf1d018b8", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>Fri</th>\n", - " <th>Sat</th>\n", - " <th>Sun</th>\n", - " <th>Thur</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>Female</th>\n", - " <td>9</td>\n", - " <td>28</td>\n", - " <td>18</td>\n", - " <td>32</td>\n", - " </tr>\n", - " <tr>\n", - " <th>Male</th>\n", - " <td>10</td>\n", - " <td>59</td>\n", - " <td>58</td>\n", - " <td>30</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " Fri Sat Sun Thur\n", - "Female 9 28 18 32\n", - "Male 10 59 58 30" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "(row_labels, col_labels), counts = stats.contingency.crosstab(tips['sex'], tips['day'])\n", "observed_counts = pd.DataFrame(counts, index=row_labels, columns=col_labels)\n", @@ -2758,61 +1632,12 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": null, "id": "fe4ce304-25ac-4734-9a0a-e20db59b742f", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>Fri</th>\n", - " <th>Sat</th>\n", - " <th>Sun</th>\n", - " <th>Thur</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>Altogether</th>\n", - " <td>0.077869</td>\n", - " <td>0.356557</td>\n", - " <td>0.311475</td>\n", - " <td>0.254098</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " Fri Sat Sun Thur\n", - "Altogether 0.077869 0.356557 0.311475 0.254098" - ] - }, - "execution_count": 50, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "expected_props = observed_counts.sum(axis=0) / observed_counts.values.sum()\n", "\n", @@ -2831,67 +1656,10 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": null, "id": "1473b92c-5f36-47a9-a17b-e6be81d9db52", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>Fri</th>\n", - " <th>Sat</th>\n", - " <th>Sun</th>\n", - " <th>Thur</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>Female</th>\n", - " <td>0.077869</td>\n", - " <td>0.356557</td>\n", - " <td>0.311475</td>\n", - " <td>0.254098</td>\n", - " </tr>\n", - " <tr>\n", - " <th>Male</th>\n", - " <td>0.077869</td>\n", - " <td>0.356557</td>\n", - " <td>0.311475</td>\n", - " <td>0.254098</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " Fri Sat Sun Thur\n", - "Female 0.077869 0.356557 0.311475 0.254098\n", - "Male 0.077869 0.356557 0.311475 0.254098" - ] - }, - "execution_count": 51, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pd.DataFrame(dict(Female=expected_props, Male=expected_props)).T" ] @@ -2906,69 +1674,12 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "id": "087ea780-304c-459d-a7c0-066817f3d82f", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>Fri</th>\n", - " <th>Sat</th>\n", - " <th>Sun</th>\n", - " <th>Thur</th>\n", 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"13.222001372406606" - ] - }, - "execution_count": 53, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "j, k = expected_counts.shape\n", "dof = (j - 1) * (k - 1)\n", @@ -3027,24 +1727,13 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": null, "id": "a7cd985e-eb2b-4a72-a221-30e3e0fdf8ec", "metadata": { "hidden": true, "tags": [] }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.004180302092822262" - ] - }, - "execution_count": 54, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "stats.chi2(dof).sf(chi2)" ] @@ -3061,23 +1750,12 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": null, "id": "4cd7ea08-110a-4ff7-9521-0f12e4169d35", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "(13.22200137240661, 0.004180302092822257)" - ] - }, - "execution_count": 55, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "chi2, pvalue, dof, expected_props = stats.chi2_contingency(observed_counts)\n", "(chi2, pvalue)" @@ -3095,23 +1773,12 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": null, "id": "d7e7fd75-068c-4f37-b981-498890c4a0d7", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "(13.22200137240661, 0.004180302092822257)" - ] - }, - "execution_count": 56, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "chi2, pvalue, dof, expected_props_T = stats.chi2_contingency(observed_counts.T)\n", "(chi2, pvalue)" @@ -3127,120 +1794,10 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": null, "id": "08c1de88-2f70-4bdb-9291-634c872b730d", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>test</th>\n", - " <th>lambda</th>\n", - " <th>chi2</th>\n", - " <th>dof</th>\n", - " <th>pval</th>\n", - " <th>cramer</th>\n", - " <th>power</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>0</th>\n", - " <td>pearson</td>\n", - " <td>1.000000</td>\n", - " <td>13.222001</td>\n", - " <td>3.0</td>\n", - " <td>0.004180</td>\n", - " <td>0.232784</td>\n", - " <td>0.876800</td>\n", - " </tr>\n", - " <tr>\n", - " <th>1</th>\n", - " <td>cressie-read</td>\n", - " <td>0.666667</td>\n", - " <td>13.186226</td>\n", - " <td>3.0</td>\n", - " <td>0.004251</td>\n", - " <td>0.232469</td>\n", - " <td>0.875841</td>\n", - " </tr>\n", - " <tr>\n", - " <th>2</th>\n", - " <td>log-likelihood</td>\n", - " <td>0.000000</td>\n", - " <td>13.194401</td>\n", - " <td>3.0</td>\n", - " <td>0.004235</td>\n", - " <td>0.232541</td>\n", - " <td>0.876061</td>\n", - " </tr>\n", - " <tr>\n", - " <th>3</th>\n", - " <td>freeman-tukey</td>\n", - " <td>-0.500000</td>\n", - " <td>13.270507</td>\n", - " <td>3.0</td>\n", - " <td>0.004087</td>\n", - " <td>0.233211</td>\n", - " <td>0.878089</td>\n", - " </tr>\n", - " <tr>\n", - " <th>4</th>\n", - " <td>mod-log-likelihood</td>\n", - " <td>-1.000000</td>\n", - " <td>13.407679</td>\n", - " <td>3.0</td>\n", - " <td>0.003833</td>\n", - " <td>0.234413</td>\n", - " <td>0.881673</td>\n", - " </tr>\n", - " <tr>\n", - " <th>5</th>\n", - " <td>neyman</td>\n", - " <td>-2.000000</td>\n", - " <td>13.873557</td>\n", - " <td>3.0</td>\n", - " <td>0.003082</td>\n", - " <td>0.238451</td>\n", - " <td>0.893170</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " test lambda chi2 dof pval cramer power\n", - "0 pearson 1.000000 13.222001 3.0 0.004180 0.232784 0.876800\n", - "1 cressie-read 0.666667 13.186226 3.0 0.004251 0.232469 0.875841\n", - "2 log-likelihood 0.000000 13.194401 3.0 0.004235 0.232541 0.876061\n", - "3 freeman-tukey -0.500000 13.270507 3.0 0.004087 0.233211 0.878089\n", - "4 mod-log-likelihood -1.000000 13.407679 3.0 0.003833 0.234413 0.881673\n", - "5 neyman -2.000000 13.873557 3.0 0.003082 0.238451 0.893170" - ] - }, - "execution_count": 57, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "expected_counts, observed_counts, test_results = pg.chi2_independence(tips, 'sex', 'day')\n", "test_results" @@ -3274,23 +1831,12 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": null, "id": "84f4e9b3-a653-422c-8fc5-83b29869ba87", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "410" - ] - }, - "execution_count": 58, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "expected_props = np.array([ .24, .2, .16, .14, .13, .13 ])\n", "observed_counts = np.array([ 85, 79, 56, 64, 58, 68 ])\n", @@ -3299,23 +1845,12 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": null, "id": "8bb2916a-e9a4-4bbe-b04f-14818bb68723", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([98.4, 82. , 65.6, 57.4, 53.3, 53.3])" - ] - }, - "execution_count": 59, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "expected_counts = expected_props * np.sum(observed_counts)\n", "expected_counts" @@ -3342,23 +1877,12 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": null, "id": "a8898631-a5b5-49e8-a158-3e149345391a", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "8.566983829178941" - ] - }, - "execution_count": 60, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "k = len(expected_counts)\n", "chi2 = np.sum((observed_counts - expected_counts) ** 2 / expected_counts)\n", @@ -3367,23 +1891,12 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": null, "id": "7a8af457-13dc-483a-90e3-50d3949c8edf", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "0.1276329790529603" - ] - }, - "execution_count": 61, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pvalue = stats.chi2(k-1).sf(chi2)\n", "pvalue" @@ -3401,23 +1914,12 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "id": "1e246915-e9be-4826-9677-d9f30348d0df", "metadata": { "hidden": true }, - "outputs": [ - { - "data": { - "text/plain": [ - "Power_divergenceResult(statistic=8.566983829178941, pvalue=0.1276329790529603)" - ] - }, - "execution_count": 62, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "stats.chisquare(observed_counts, expected_counts)" ] @@ -3484,7 +1986,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.12" + "version": "3.11.10" }, "toc": { "base_numbering": 1, diff --git a/notebooks/scipy_material.py b/notebooks/Courses/scipy_material.py similarity index 100% rename from notebooks/scipy_material.py rename to notebooks/Courses/scipy_material.py -- GitLab