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Last active February 17, 2021 03:56
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Linear_Regression_P_Value.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Linear_Regression_P_Value.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyOFdHknNo+inrE+C+5B4csD",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/constructor-s/e04c14ca6dca641fc5313f214803c028/linear_regression_p_value.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 710
},
"id": "YJNPyCSlBPDK",
"outputId": "31784755-6172-4689-a6cc-3471a0e16291"
},
"source": [
"import numpy as np\r\n",
"import scipy.stats\r\n",
"import matplotlib.pyplot as plt\r\n",
"\r\n",
"N = 4; M = 5\r\n",
"print(f\"N = {N}; M = {M}\")\r\n",
"t = np.repeat(np.linspace(0.0, 1.0, N).reshape(N, 1), M, axis=1)\r\n",
"print(\"t = \")\r\n",
"print(t)\r\n",
"y_truth = t * -1.0 # Slope = -1.0 per unit time\r\n",
"y_observations = y_truth + np.random.RandomState(0).randn(N, M)\r\n",
"print(\"Observations = \")\r\n",
"print(y_observations)\r\n",
"\r\n",
"plt.figure(figsize=(11, 8.5))\r\n",
"# Raw Data Fit\r\n",
"plt.plot(t.ravel(), y_observations.ravel(), 'x', label=\"Data\")\r\n",
"res = scipy.stats.linregress(t.ravel(), y_observations.ravel())\r\n",
"plt.plot(t.ravel(), res.intercept + res.slope*t.ravel(), '-x', label=f\"Data Fit: {res}\")\r\n",
"\r\n",
"# Averaged Data Fit\r\n",
"plt.plot(t.mean(axis=1), y_observations.mean(axis=1), ':o', label=\"Data Averaged\")\r\n",
"res = scipy.stats.linregress(t.mean(axis=1), y_observations.mean(axis=1))\r\n",
"plt.plot(t.mean(axis=1), res.intercept + res.slope*t.mean(axis=1), ':o', label=f\"Average Data Fit: {res}\")\r\n",
"_ = plt.legend()"
],
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": [
"N = 4; M = 5\n",
"t = \n",
"[[0. 0. 0. 0. 0. ]\n",
" [0.33333333 0.33333333 0.33333333 0.33333333 0.33333333]\n",
" [0.66666667 0.66666667 0.66666667 0.66666667 0.66666667]\n",
" [1. 1. 1. 1. 1. ]]\n",
"Observations = \n",
"[[ 1.76405235 0.40015721 0.97873798 2.2408932 1.86755799]\n",
" [-1.31061121 0.61675508 -0.48469054 -0.43655219 0.07726517]\n",
" [-0.5226231 0.78760684 0.09437106 -0.54499165 -0.22280343]\n",
" [-0.66632567 0.49407907 -1.20515826 -0.6869323 -1.85409574]]\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 792x612 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "pGraWQWJBsE2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 528
},
"outputId": "873bb906-f461-4e2e-f581-d545ffee1a05"
},
"source": [
"import numpy as np\r\n",
"import scipy.stats\r\n",
"import matplotlib.pyplot as plt\r\n",
"\r\n",
"N = 12; M = 10\r\n",
"print(f\"N = {N}; M = {M}\")\r\n",
"t = np.repeat(np.linspace(0.0, 1.0, N).reshape(N, 1), M, axis=1)\r\n",
"# print(\"t = \")\r\n",
"# print(t)\r\n",
"y_truth = t * -1.0 # Slope = -1.0 per unit time\r\n",
"y_observations = y_truth + np.random.RandomState(0).randn(N, M) * 0.1\r\n",
"\r\n",
"y_observations_missing = y_observations.copy()\r\n",
"y_observations_missing[3:9, 0:9] = np.nan\r\n",
"\r\n",
"# print(\"Observations with missing values = \")\r\n",
"# print(y_observations_missing)\r\n",
"\r\n",
"plt.figure(figsize=(11, 8.5))\r\n",
"# Raw Data Fit\r\n",
"plt.plot(t.ravel(), y_observations_missing.ravel(), 'x', label=\"Data\")\r\n",
"res = scipy.stats.linregress(t[~np.isnan(y_observations_missing)], y_observations_missing[~np.isnan(y_observations_missing)])\r\n",
"plt.plot(t.ravel(), res.intercept + res.slope*t.ravel(), '-', label=f\"Data Fit: {res}\")\r\n",
"\r\n",
"# Averaged Data Fit\r\n",
"plt.plot(np.nanmean(t, axis=1), np.nanmean(y_observations_missing, axis=1), ':o', label=\"Data Averaged\")\r\n",
"res = scipy.stats.linregress(np.nanmean(t, axis=1), np.nanmean(y_observations_missing, axis=1))\r\n",
"plt.plot(t.mean(axis=1), res.intercept + res.slope*t.mean(axis=1), ':', label=f\"Average Data Fit: {res}\")\r\n",
"_ = plt.legend()"
],
"execution_count": 47,
"outputs": [
{
"output_type": "stream",
"text": [
"N = 12; M = 10\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 792x612 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "uDGohYvzE50l"
},
"source": [
""
],
"execution_count": 8,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "xeMFv20VFLOk"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}
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