{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "m8XaISrzdrG3" }, "source": [ "# Python Worksheet" ] }, { "cell_type": "markdown", "metadata": { "id": "3D9x4x6wdznc" }, "source": [ "## Setup\n", "\n", "### Import packages" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "9FMQNeFHdm7J", "outputId": "f30739f1-95f9-41a3-9762-486a89d331a5" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.7/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n", " import pandas.util.testing as tm\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd \n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "\n", "# Remove unrelated warning\n", "import warnings\n", "warnings.simplefilter(action=\"ignore\", category=FutureWarning)" ] }, { "cell_type": "markdown", "metadata": { "id": "diljh9hdetCW" }, "source": [ "### Download OASIS Dataset\n", "\n", "We'll be downloading the data from `http://www.oasis-brains.org/pdf/oasis_longitudinal.csv`.\n", "\n", "A full explanation of the data can be found in:\n", "\n", "*Open Access Series of Imaging Studies (OASIS): Longitudinal MRI Data in Nondemented and Demented Older Adults. Marcus, DS, Fotenos, AF, Csernansky, JG, Morris, JC, Buckner, RL, 2010. Journal of Cognitive Neuroscience, 22, 2677-2684. doi: [10.1162/jocn.2009.21407](https://doi.org/10.1162/jocn.2009.21407)*" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 204 }, "id": "_k9m48Wxer3k", "outputId": "0446843c-7560-4fee-ade0-8bfe6853243d" }, "outputs": [ { "data": { "text/html": [ "
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Subject IDMRI IDGroupVisitMR DelayM/FHandAgeEDUCSESMMSECDReTIVnWBVASF
0OAS2_0001OAS2_0001_MR1Nondemented10MR87142.027.00.019870.6960.883
1OAS2_0001OAS2_0001_MR2Nondemented2457MR88142.030.00.020040.6810.876
2OAS2_0002OAS2_0002_MR1Demented10MR7512NaN23.00.516780.7361.046
3OAS2_0002OAS2_0002_MR2Demented2560MR7612NaN28.00.517380.7131.010
4OAS2_0002OAS2_0002_MR3Demented31895MR8012NaN22.00.516980.7011.034
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" ], "text/plain": [ " Subject ID MRI ID Group Visit ... CDR eTIV nWBV ASF\n", "0 OAS2_0001 OAS2_0001_MR1 Nondemented 1 ... 0.0 1987 0.696 0.883\n", "1 OAS2_0001 OAS2_0001_MR2 Nondemented 2 ... 0.0 2004 0.681 0.876\n", "2 OAS2_0002 OAS2_0002_MR1 Demented 1 ... 0.5 1678 0.736 1.046\n", "3 OAS2_0002 OAS2_0002_MR2 Demented 2 ... 0.5 1738 0.713 1.010\n", "4 OAS2_0002 OAS2_0002_MR3 Demented 3 ... 0.5 1698 0.701 1.034\n", "\n", "[5 rows x 15 columns]" ] }, "execution_count": 2, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('http://www.oasis-brains.org/pdf/oasis_longitudinal.csv')\n", "# Print out the top 5 rows of the DataFrame\n", "df.head(5)" ] }, { "cell_type": "markdown", "metadata": { "id": "yMXs_8J5e2qA" }, "source": [ "---\n", "## Pre-processing the Data\n", "\n", "### Dementia Status from CDR\n", "\n", "We're told in the associated paper (linked above) that the CDR values correspond to the following levels of severity:\n", "* 0 = No dementia\n", "* 0.5 = Very mild Dementia\n", "* 1 = Mild Dementia\n", "* 2 = Moderate Dementia\n", "* 3 = Severe Dementia\n", "\n", "So let's derive this \"Status\" from the CDR values:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "P7UCVs7efVaf" }, "outputs": [], "source": [ "# Create a mapper from values to status/severity\n", "cdr_mapper = {\n", " 0: \"No Dementia\",\n", " 0.5: \"Very Mild Dementia\",\n", " 1: \"Mild Dementia\",\n", " 2: \"Moderate Dementia\",\n", " 3: \"Severe Dementia\",\n", "}\n", "# Create a column, mapping CDR values to this status\n", "# Convert to categorical type, with severity as order\n", "df[\"Status\"] = pd.Categorical(\n", " df[\"CDR\"].map(cdr_mapper),\n", " categories=cdr_mapper.values(),\n", " ordered=True\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "id": "ioaeD3oKxGPW" }, "outputs": [], "source": [ "# Create colours for the different 'Status' categories\n", "status_colours = {\n", " i:j for i,j in zip(cdr_mapper.values(), sns.color_palette(\"colorblind\", 5))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "id": "6u55PhnXuCCx" }, "source": [ "Now we can look at this status, and how many records there are both overall, and at each of the visits (or time points)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "yAv6S-E1yql6", "outputId": "6068aef2-4fdc-46eb-ed56-a8558e1d777f" }, "outputs": [ { "data": { "text/plain": [ "No Dementia 206\n", "Very Mild Dementia 123\n", "Mild Dementia 41\n", "Moderate Dementia 3\n", "Severe Dementia 0\n", "Name: Status, dtype: int64" ] }, "execution_count": 5, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "# Let's look at how many records we have of each severity\n", "df[\"Status\"].value_counts()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "id": "S1BpoySAXLD1" }, "outputs": [], "source": [ "# There are no records for \"Severe Dementia\", so we can tidy things up by removing this unused category\n", "df[\"Status\"] = df[\"Status\"].cat.remove_unused_categories()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "-Vy9p6h9tvJ7", "outputId": "fbcb5760-6ded-451a-ab08-fb8998410a60" }, "outputs": [ { "data": { "text/plain": [ "Visit Status \n", "1 No Dementia 85\n", " Very Mild Dementia 52\n", " Mild Dementia 13\n", " Moderate Dementia 0\n", "2 No Dementia 73\n", " Very Mild Dementia 49\n", " Mild Dementia 19\n", " Moderate Dementia 3\n", "3 No Dementia 34\n", " Very Mild Dementia 18\n", " Mild Dementia 6\n", " Moderate Dementia 0\n", "4 No Dementia 10\n", " Very Mild Dementia 3\n", " Mild Dementia 2\n", " Moderate Dementia 0\n", "5 No Dementia 4\n", " Very Mild Dementia 1\n", " Mild Dementia 1\n", " Moderate Dementia 0\n", "dtype: int64" ] }, "execution_count": 7, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "# How many of each status do we have at each visit?\n", "df.groupby([\"Visit\", \"Status\"]).size()" ] }, { "cell_type": "markdown", "metadata": { "id": "EhBL56e3fV6t" }, "source": [ "### Variable Types" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "nNvmWyp6fWrb", "outputId": "a5702470-8ed9-4f96-9144-e8c62db4e54e" }, "outputs": [ { "data": { "text/plain": [ "Subject ID object\n", "MRI ID object\n", "Group object\n", "Visit int64\n", "MR Delay int64\n", "M/F object\n", "Hand object\n", "Age int64\n", "EDUC int64\n", "SES float64\n", "MMSE float64\n", "CDR float64\n", "eTIV int64\n", "nWBV float64\n", "ASF float64\n", "Status category\n", "dtype: object" ] }, "execution_count": 8, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "df.dtypes" ] }, { "cell_type": "markdown", "metadata": { "id": "usvnukb-xy0I" }, "source": [ "*Note: Further coercing of types (e.g. \"Visit\" is ordinal) is good practice, but the necessity depends on your analysis.*" ] }, { "cell_type": "markdown", "metadata": { "id": "8cTbbOMN17mw" }, "source": [ "### Convert Categorical Data" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "id": "DYI8646717xd" }, "outputs": [], "source": [ "df[\"Sex\"] = df[\"M/F\"].map({\n", " \"M\": 0,\n", " \"F\": 1\n", "})" ] }, { "cell_type": "markdown", "metadata": { "id": "WZLv38onfWyN" }, "source": [ "### Visits & Baseline Data" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "beSKgX0UfW4j", "outputId": "eaed9b85-b40a-474e-ba5b-c6e38fb85b67" }, "outputs": [ { "data": { "text/plain": [ "1 150\n", "2 144\n", "3 58\n", "4 15\n", "5 6\n", "Name: Visit, dtype: int64" ] }, "execution_count": 10, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "df[\"Visit\"].value_counts()" ] }, { "cell_type": "markdown", "metadata": { "id": "TM-CeOVWycei" }, "source": [ "Filter for baseline data, and look at their status on arrival" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "id": "htnpMCLpyb5u" }, "outputs": [], "source": [ "df_baseline = df.loc[df[\"Visit\"]==1]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "2ZMVoNgyyjrP", "outputId": "0a8c74cf-a30a-432d-8673-8cd42536bc25" }, "outputs": [ { "data": { "text/plain": [ "No Dementia 85\n", "Very Mild Dementia 52\n", "Mild Dementia 13\n", "Moderate Dementia 0\n", "Name: Status, dtype: int64" ] }, "execution_count": 12, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "df_baseline[\"Status\"].value_counts()" ] }, { "cell_type": "markdown", "metadata": { "id": "gkZfTvxFfXAt" }, "source": [ "---\n", "## Data Exploration & Analysis\n", "\n", "### Summarize Data" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 444 }, "id": "_8O7Dja6xxqV", "outputId": "b63aba2b-6dfa-4d02-ae6a-5d2e7fa408e2" }, "outputs": [ { "data": { "text/html": [ "
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Subject IDMRI IDGroupVisitMR DelayM/FHandAgeEDUCSESMMSECDReTIVnWBVASFStatusSex
count373373373373.000000373.000000373373373.000000373.000000354.000000371.000000373.000000373.000000373.000000373.000000373373.000000
unique1503733NaNNaN21NaNNaNNaNNaNNaNNaNNaNNaN4NaN
topOAS2_0048OAS2_0179_MR2NondementedNaNNaNFRNaNNaNNaNNaNNaNNaNNaNNaNNo DementiaNaN
freq51190NaNNaN213373NaNNaNNaNNaNNaNNaNNaNNaN206NaN
meanNaNNaNNaN1.882038595.104558NaNNaN77.01340514.5978552.46045227.3423180.2908851488.1286860.7295681.195461NaN0.571046
stdNaNNaNNaN0.922843635.485118NaNNaN7.6409572.8763391.1340053.6832440.374557176.1392860.0371350.138092NaN0.495592
minNaNNaNNaN1.0000000.000000NaNNaN60.0000006.0000001.0000004.0000000.0000001106.0000000.6440000.876000NaN0.000000
25%NaNNaNNaN1.0000000.000000NaNNaN71.00000012.0000002.00000027.0000000.0000001357.0000000.7000001.099000NaN0.000000
50%NaNNaNNaN2.000000552.000000NaNNaN77.00000015.0000002.00000029.0000000.0000001470.0000000.7290001.194000NaN1.000000
75%NaNNaNNaN2.000000873.000000NaNNaN82.00000016.0000003.00000030.0000000.5000001597.0000000.7560001.293000NaN1.000000
maxNaNNaNNaN5.0000002639.000000NaNNaN98.00000023.0000005.00000030.0000002.0000002004.0000000.8370001.587000NaN1.000000
\n", "
" ], "text/plain": [ " Subject ID MRI ID ... Status Sex\n", "count 373 373 ... 373 373.000000\n", "unique 150 373 ... 4 NaN\n", "top OAS2_0048 OAS2_0179_MR2 ... No Dementia NaN\n", "freq 5 1 ... 206 NaN\n", "mean NaN NaN ... NaN 0.571046\n", "std NaN NaN ... NaN 0.495592\n", "min NaN NaN ... NaN 0.000000\n", "25% NaN NaN ... NaN 0.000000\n", "50% NaN NaN ... NaN 1.000000\n", "75% NaN NaN ... NaN 1.000000\n", "max NaN NaN ... NaN 1.000000\n", "\n", "[11 rows x 17 columns]" ] }, "execution_count": 13, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "df.describe(include=\"all\")" ] }, { "cell_type": "markdown", "metadata": { "id": "9P6_RL0y1olW" }, "source": [ "### Missing Data" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "2TBY4gIQyEPp", "outputId": "c5bbd8d2-82d5-4de0-99ff-2ac8362cb9c9" }, "outputs": [ { "data": { "text/plain": [ "Subject ID 0\n", "MRI ID 0\n", "Group 0\n", "Visit 0\n", "MR Delay 0\n", "M/F 0\n", "Hand 0\n", "Age 0\n", "EDUC 0\n", "SES 19\n", "MMSE 2\n", "CDR 0\n", "eTIV 0\n", "nWBV 0\n", "ASF 0\n", "Status 0\n", "Sex 0\n", "dtype: int64" ] }, "execution_count": 14, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "# Count amount of missing data\n", "df.isna().sum(0)" ] }, { "cell_type": "markdown", "metadata": { "id": "c1q2nq9E1sSq" }, "source": [ "### Visualize Data" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 497 }, "id": "dINxAruhy4Uo", "outputId": "1aa3395a-6095-46b1-f909-1330c2886c6b" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "# Histograms\n", "fig, axes = plt.subplots(2, 2, figsize=(12,8))\n", "\n", "axes = axes.flatten()\n", "\n", "for i, x_col in enumerate([\"Age\", \"EDUC\", \"MMSE\"]):\n", " sns.histplot(data=df, x=x_col, ax=axes[i])\n", "\n", "fig.delaxes(axes[-1])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 497 }, "id": "xeN2JXjRhxGM", "outputId": "5bda6025-c54f-4da0-dab0-71f541da9029" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "# Histograms stratified by dementia status\n", "fig, axes = plt.subplots(2, 2, figsize=(12,8))\n", "# Make it easier to loop over\n", "axes = axes.flatten()\n", "# Loop through the columns we want to plot a histogram for\n", "for i, x_col in enumerate([\"Age\", \"EDUC\", \"MMSE\"]):\n", " sns.histplot(data=df, x=x_col, hue=\"Status\", multiple=\"stack\", ax=axes[i])\n", "# Manually tidy up the legends\n", "axes[0].get_legend().remove()\n", "axes[1].get_legend().remove()\n", "# Delete the extra axis (as we only plot 3 columns)\n", "fig.delaxes(axes[-1])" ] }, { "cell_type": "markdown", "metadata": { "id": "A6fhAb4mgHw7" }, "source": [ "### MMSE trajectories over time\n", "\n", "We can visualize the MMSE trajectories of each subject over time to get an overall view of the cohort." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 388 }, "id": "AfiSZrzQgH5L", "outputId": "e2012613-83f4-4571-d13e-5f4429f42689" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "for _, indiv_data in df.groupby(\"Subject ID\"):\n", " ax = sns.lineplot(\n", " data=indiv_data,\n", " x=\"MR Delay\",\n", " y=\"MMSE\",\n", " ax=ax,\n", " color=\"grey\",\n", " alpha=0.5,\n", " linewidth=1.25,\n", " linestyle=\"solid\"\n", " )" ] }, { "cell_type": "markdown", "metadata": { "id": "-SldRgMQXtLV" }, "source": [ "We can make this graph a little more interesting by adding colour to each line, corresponding to the dementia status:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 406 }, "id": "j0VH7vMvioig", "outputId": "5875a4e3-0cf3-4ab5-9983-d17d1746dfca" }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'MMSE')" ] }, "execution_count": 18, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "\n", "# Loop over the individual subjects\n", "for group, indiv_data in df.groupby([\"Subject ID\"]):\n", " # Extract xy data\n", " xy = indiv_data[[\"MR Delay\", \"MMSE\"]].values\n", " # Plot normally for patients that do not change status\n", " if len(indiv_data[\"Status\"].unique()) == 1:\n", " ax.plot(\n", " xy[:, 0],\n", " xy[:, 1],\n", " color=status_colours[indiv_data[\"Status\"].unique()[0]],\n", " alpha=0.5,\n", " linewidth=1.25\n", " )\n", " else:\n", " # Duplicate points to construct line segments of different colours\n", " for i, (start, stop) in enumerate(zip(xy[:-1], xy[1:])):\n", " x, y = zip(start, stop)\n", " ax.plot(\n", " x, y,\n", " color=status_colours[indiv_data[\"Status\"].iloc[i]],\n", " alpha=0.5,\n", " linewidth=1.25\n", " )\n", "# Add the labels\n", "ax.set_xlabel(\"MR Delay\")\n", "ax.set_ylabel(\"MMSE\")" ] }, { "cell_type": "markdown", "metadata": { "id": "lIB25KqwiR_A" }, "source": [ "### Regression Analysis\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "-9ca18dhKsJR" }, "source": [ "#### Simple Linear Regression" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 679 }, "id": "Jkrhu_8p25fg", "outputId": "ed1ec4e9-3bdf-477c-b0bd-0f1c2c2d3c4d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Age vs MMSE: R-squared = 0.001\n", "Sex vs MMSE: R-squared = 0.048\n", "Yrs of Education vs MMSE: R-squared = 0.047\n", "CDR vs MMSE: R-squared = 0.479\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "# Select the columns to iterate over\n", "x_cols = [\"Age\", \"Sex\", \"EDUC\", \"CDR\"]\n", "# Choose nicer names to display for each column\n", "x_labels = [\"Age\", \"Sex\", \"Yrs of Education\", \"CDR\"]\n", "\n", "fig, axes = plt.subplots(2,2, figsize=(16,10))\n", "\n", "# Select the dependent variable\n", "y = df_baseline[\"MMSE\"].values\n", "# Loop over the columns to fit each regression\n", "for x_col, label, ax in zip(x_cols, x_labels, axes.flatten()):\n", " # Select x data\n", " x = df_baseline[x_col].values\n", " # Create the model\n", " model = sm.OLS(\n", " y, sm.add_constant(x)\n", " )\n", " # Fit the model\n", " res = model.fit()\n", " # Add a plot with regression line\n", " ax.plot(x, res.predict())\n", " # and the raw data\n", " ax.scatter(x, y, c=[status_colours[i] for i in df_baseline[\"Status\"]])\n", " ax.set_title(label)\n", " ax.set_ylabel(\"MMSE\")\n", " # Print the R^2\n", " print(f\"{label} vs MMSE: R-squared = {res.rsquared:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "id": "m8MXmgXnax7o" }, "source": [ "Then we can do the same again, but this time stratify by the dementia status (not including CDR this time):" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 607 }, "id": "_4cqfhtPg-XJ", "outputId": "808a8ee7-b223-4dd4-b7e2-ac3ae4b1cc2f" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "x_cols = [\"Age\", \"Sex\", \"EDUC\"]\n", "x_labels = [\"Age\", \"Sex\", \"Yrs of Education\"]\n", "\n", "fig, axes = plt.subplots(2,2, figsize=(16,10))\n", "axes = axes.flatten()\n", "\n", "for x_col, label, ax in zip(x_cols, x_labels, axes):\n", " for name, group_data in df_baseline.groupby(\"Status\", observed=True):\n", " y = group_data[\"MMSE\"]\n", " x = group_data[x_col]\n", " model = sm.OLS(\n", " y, sm.add_constant(x)\n", " )\n", " res = model.fit()\n", " \n", " ax.plot(x, res.predict())\n", " ax.scatter(x, y, color=status_colours[name])\n", " ax.set_title(label)\n", " ax.set_ylabel(\"MMSE\")\n", "# Delete the extra axis (as we only plot 3 columns)\n", "fig.delaxes(axes[-1])" ] }, { "cell_type": "markdown", "metadata": { "id": "C_y4PAcMjN3A" }, "source": [ "#### Multiple Linear Regression\n", "\n", "We can create a regression model using age, sex, education, and CDR as our independent variables together:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "gcXIBnrGjekZ", "outputId": "207dd44b-d96f-4551-efcb-a9b957814ccb" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: MMSE R-squared: 0.493\n", "Model: OLS Adj. R-squared: 0.475\n", "Method: Least Squares F-statistic: 27.95\n", "Date: Thu, 08 Jul 2021 Prob (F-statistic): 1.02e-19\n", "Time: 10:03:10 Log-Likelihood: -324.67\n", "No. Observations: 150 AIC: 661.3\n", "Df Residuals: 144 BIC: 679.4\n", "Df Model: 5 \n", "Covariance Type: nonrobust \n", "=================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "---------------------------------------------------------------------------------\n", "Intercept 29.1743 2.140 13.632 0.000 24.944 33.404\n", "C(CDR)[T.0.5] -2.9600 0.411 -7.209 0.000 -3.772 -2.148\n", "C(CDR)[T.1.0] -6.0383 0.649 -9.305 0.000 -7.321 -4.756\n", "Age -0.0194 0.024 -0.825 0.411 -0.066 0.027\n", "EDUC 0.0734 0.065 1.137 0.257 -0.054 0.201\n", "Sex 0.5643 0.374 1.511 0.133 -0.174 1.303\n", "==============================================================================\n", "Omnibus: 23.128 Durbin-Watson: 1.929\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 53.918\n", "Skew: -0.623 Prob(JB): 1.96e-12\n", "Kurtosis: 5.660 Cond. No. 943.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "# Create string for our independent variables\n", "x = \"Age + EDUC + Sex + C(CDR)\"\n", "# And select the dependent one\n", "y = \"MMSE\"\n", "\n", "mod = smf.ols(formula = f\"{y} ~ {x}\", data=df_baseline)\n", "res = mod.fit()\n", "\n", "# Print out a nice summary of results\n", "print(res.summary())" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 706 }, "id": "oouKSrNKv3-q", "outputId": "f24b6d78-c67f-43ab-defb-338c3cc8c8e5" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "# Call statsmodel function for partial regression plot\n", "fig = sm.graphics.plot_partregress_grid(res)\n", "# Making the output nicer\n", "fig.set_figheight(10)\n", "fig.set_figwidth(12)\n", "fig.tight_layout(pad=3)" ] }, { "cell_type": "markdown", "metadata": { "id": "VkKhTM1_Nw6-" }, "source": [ "### Results Table\n", "\n", "Either using some of the analysis above, or through additional analysis of your own, create a summary results table below. What it includes is up to you, the overall aim is to get familiar with creating tables in markdown." ] }, { "cell_type": "markdown", "metadata": { "id": "rLG-yNbuc4N4" }, "source": [ "---\n", "## Export to PDF\n", "\n", "Now we can export this report to PDF, using the steps below.\n", "\n", "**Note: You may need to change the paths and filenames depending your Google Drive structure, and what you have named this notebook.**" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "id": "8pwC-kI7ebao" }, "outputs": [], "source": [ "# Install what we need to create the PDF\n", "%%capture\n", "!apt update\n", "!apt install texlive-xetex texlive-fonts-recommended texlive-generic-recommended" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "WdzobPdrewup", "outputId": "8cd45abb-a323-4b4f-e997-1d0d3f45f694" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Drive already mounted at /content/gdrive; to attempt to forcibly remount, call drive.mount(\"/content/gdrive\", force_remount=True).\n" ] } ], "source": [ "# Mount Google Drive\n", "from google.colab import drive\n", "drive.mount('/content/gdrive')" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "LsWqkitUfJpY", "outputId": "c30ac5a4-bba5-482f-f498-90bdbb565b4c" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reproducible_Reporting.ipynb\n" ] } ], "source": [ "# Create a DEMON folder and move this notebook into it\n", "%%bash\n", "mkdir -p gdrive/MyDrive/DEMON/\n", "if [ -f gdrive/MyDrive/Reproducible_Reporting.ipynb ]; then \n", " mv gdrive/MyDrive/Reproducible_Reporting.ipynb gdrive/MyDrive/DEMON/Reproducible_Reporting.ipynb\n", "fi\n", "ls gdrive/MyDrive/DEMON/" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "lOkLvYXkfq4D", "outputId": "60a43ff0-3a08-4728-ad27-321df7d64844" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/content/gdrive/MyDrive/DEMON\n" ] } ], "source": [ "# Change to the drive we created above\n", "%cd gdrive/MyDrive/DEMON/" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "53RVsNb6dM4K", "outputId": "07d55b9b-157f-4429-baf2-cff1f4b05a1f" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[NbConvertApp] Converting notebook Reproducible_Reporting.ipynb to pdf\n", "[NbConvertApp] Writing 49953 bytes to ./notebook.tex\n", "[NbConvertApp] Building PDF\n", "[NbConvertApp] Running xelatex 3 times: [u'xelatex', u'./notebook.tex', '-quiet']\n", "[NbConvertApp] Running bibtex 1 time: [u'bibtex', u'./notebook']\n", "[NbConvertApp] WARNING | bibtex had problems, most likely because there were no citations\n", "[NbConvertApp] PDF successfully created\n", "[NbConvertApp] Writing 59264 bytes to ./Reproducible_Reporting.pdf\n" ] } ], "source": [ "!jupyter nbconvert Reproducible_Reporting.ipynb --to pdf --output ./Reproducible_Reporting.pdf" ] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "Reproducible_Reporting.ipynb", "provenance": [] }, "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 1 }