{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IntroStat Week 9\n", "\n", "Welcome to the 9th lecture in IntroStat\n", "\n", "During the lectures we will present both slides and notebooks. \n", "\n", "This is the notebook used in the lecture in week 9.\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import scipy.stats as stats\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "import statsmodels.stats.power as smp\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Ozon concentration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Today we will be using the same data for all examples\n", "\n", "The **Airquality dataset**" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Ozone Solar.R Wind Temp Month Day\n", "0 41.0 190.0 7.4 67 5 1\n", "1 36.0 118.0 8.0 72 5 2\n", "2 12.0 149.0 12.6 74 5 3\n", "3 18.0 313.0 11.5 62 5 4\n", "4 NaN NaN 14.3 56 5 5\n", "5 28.0 NaN 14.9 66 5 6\n", "6 23.0 299.0 8.6 65 5 7\n", "7 19.0 99.0 13.8 59 5 8\n", "8 8.0 19.0 20.1 61 5 9\n", "9 NaN 194.0 8.6 69 5 10\n" ] } ], "source": [ "# Find the \"airquality\" dataset and print first 10 rows:\n", "Air = sm.datasets.get_rdataset(\"airquality\").data\n", "print(Air.head(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Daily readings of the following air quality values for May 1, 1973 (a Tuesday) to September 30, 1973:\n", "\n", "- Ozone: Mean ozone in parts per billion from 1300 to 1500 hours at Roosevelt Island\n", "\n", "- Solar.R: Solar radiation in Langleys in the frequency band 4000–7700 Angstroms from 0800 to 1200 hours at Central Park\n", "\n", "- Wind: Average wind speed in miles per hour at 0700 and 1000 hours at LaGuardia Airport\n", "\n", "- Temp: Maximum daily temperature in degrees Fahrenheit at La Guardia Airport.\n", "\n", "Notice the dataset has some missing values (NaN)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "153\n" ] } ], "source": [ "# How many rows? (obs: number of observations is smaller due to missing values in dataset)\n", "print(len(Air))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "# The dataset is now a *Pandas Dataframe*\n", "print(type(Air))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When working with \"real\" data one typically need to do some *data-wrangling* \n", "\n", "This may include joining data from different tables, re-ordering data, re-structuring the dataset\n", "\n", "Today we need to rename a column:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Ozone SolarR Wind Temp Month Day\n", "0 41.0 190.0 7.4 67 5 1\n", "1 36.0 118.0 8.0 72 5 2\n", "2 12.0 149.0 12.6 74 5 3\n", "3 18.0 313.0 11.5 62 5 4\n", "4 NaN NaN 14.3 56 5 5\n", "5 28.0 NaN 14.9 66 5 6\n", "6 23.0 299.0 8.6 65 5 7\n", "7 19.0 99.0 13.8 59 5 8\n", "8 8.0 19.0 20.1 61 5 9\n", "9 NaN 194.0 8.6 69 5 10\n" ] } ], "source": [ "# rename \"Solar.R\", because the use of \".\" means something else in python and this could give rise to errors:\n", "Air = Air.rename(columns={\"Solar.R\": \"SolarR\"})\n", "print(Air.head(10))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### We are interested in the Ozone values \n", "\n", "How does Ozone depend on solar radiation, wind and temperature?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualise the data\n", "\n", "# split to make 3 plots:\n", "fig, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(16,4))\n", "\n", "# scatter plots with Ozone versus the three other columns\n", "Air.plot.scatter('Wind', 'Ozone', ax=ax0)\n", "Air.plot.scatter('SolarR', 'Ozone', ax=ax1)\n", "Air.plot.scatter('Temp', 'Ozone', ax=ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The second plot seems to have variance increasing with increasing solar radiation\n", "\n", "All plots seem to have more Ozone values that are relatively small and fewer values that are relatively large\n", "\n", "We will now inspect the distribution of Ozone values (and consider whether a data-transformation a appropriate)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Do a histogram of \"Ozone\" column\n", "plt.hist(Air[\"Ozone\"], density=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Since the distribution is very skewed we will do a data-transformation and compute the logarithm of the Ozone column:\n", "Air[\"logOzone\"] = np.log(Air[\"Ozone\"]) # this creates an axtra column in the dataframe\n", "plt.hist(Air[\"logOzone\"], density=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This distribution is nicer (but maybe not perfect - the value with logOzone=0 could be considered an outlier)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualise the transformed data\n", "\n", "# split to make 3 plots:\n", "fig, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(16,4))\n", "\n", "# scatter plots with logOzone versus the three other columns\n", "Air.plot.scatter('Wind', 'logOzone', ax=ax0)\n", "Air.plot.scatter('SolarR', 'logOzone', ax=ax1)\n", "Air.plot.scatter('Temp', 'logOzone', ax=ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Considerations:\n", "\n", "The datapoint with logOzone=0 could be an outlier - maybe we should remove it from the dataset.\n", "\n", "We could model logOzone as a linear function of either wind, solar radiation or temperature. A linear regression models seems suitable. " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# remove the outlier:\n", "Air = Air[(Air[\"logOzone\"] != 0)]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "152\n" ] } ], "source": [ "print(len(Air))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Now we do **Simpel Linear Regression** with one explanatory variable at the time" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.540\n", "Model: OLS Adj. R-squared: 0.536\n", "No. Observations: 115 F-statistic: 132.8\n", "Covariance Type: nonrobust Prob (F-statistic): 8.70e-21\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -1.5004 0.433 -3.469 0.001 -2.357 -0.643\n", "Temp 0.0634 0.006 11.522 0.000 0.053 0.074\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "# logOzone and temperature:\n", "fit_temp = smf.ols(formula = 'logOzone ~ Temp', data=Air).fit()\n", "print(fit_temp.summary(slim=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **>>> Kahoot 1 (3 questions)**" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " mean mean_se mean_ci_lower mean_ci_upper obs_ci_lower \\\n", "0 1.670404 0.162595 1.348274 1.992534 0.534082 \n", "1 2.304558 0.111726 2.083209 2.525907 1.192598 \n", "2 2.938712 0.067721 2.804544 3.072880 1.840777 \n", "3 3.572866 0.052418 3.469016 3.676717 2.478222 \n", "4 4.207021 0.083470 4.041652 4.372389 3.104837 \n", "\n", " obs_ci_upper \n", "0 2.806726 \n", "1 3.416519 \n", "2 4.036648 \n", "3 4.667511 \n", "4 5.309204 \n" ] } ], "source": [ "# Get prediction based on the model:\n", "temp_range = pd.DataFrame({'Temp': np.arange(50,110, 10)})\n", "pred = fit_temp.get_prediction(temp_range).summary_frame(alpha=0.05)\n", "print(pred.head())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **>>> Kahoot 2 (1 questions)**" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot data with model predictions:\n", "Air.plot.scatter('Temp', 'logOzone')\n", "plt.plot(temp_range, pred[\"mean\"], color=\"red\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice - this is a simple linear regression model with temperature as explanatory variable (and logOzone as dependen variable / outcome variable)\n", "\n", "Lets try another explanatory variable:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.180\n", "Model: OLS Adj. R-squared: 0.172\n", "No. Observations: 110 F-statistic: 23.70\n", "Covariance Type: nonrobust Prob (F-statistic): 3.87e-06\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 2.7392 0.161 16.982 0.000 2.419 3.059\n", "SolarR 0.0038 0.001 4.868 0.000 0.002 0.005\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] }, { "data": { "image/png": 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LKjHvvTyL+9+bNxZTooOd2CLqji3f3wxuSDIZa49Y7IZmFy+RdNQSxCn5M+FcVQOmLs+xuH/3M5MVfW1dkS3f3xyWIkmwi5fIeRwxtCc1pX8mqG2YTzXa2oDjx4GjR2VtBoMbkoTapn4SkWOp4TPBFXK1nOLCBeDdd4Gf/QwICwNGjwaef17WJnG2FElCTTM5iMjx1PCZwFW/7XTlCrB7N7Bzp+GnuFi8v29fwMsLEASgQ8+YszC4IUmoZeonETmHmj4TuOp3N65dAw4cMAQy2dnAsWOGwMXI3R0YPx5ISwNSU4EJEwBPT/naCwUNSy1btgw6nQ5PPvlkl8dt3rwZw4YNQ+/evTFq1Chs377dOQ2kbrGLl4ja42eCSrW2Anl5wLJlhoDF3x+YNg34058MuTSCAIwcCSxeDHz6qaEn58AB4OWXgeRk2QMbQCE9N3l5eVizZg1iY2O7PO7gwYNIT09HVlYW7rvvPmzYsAFz5sxBfn4+YmJinNRasoRdvETUHj8TVEIQgDNnDL0yO3cCu3YBNTXiYwYONAQ6aWnA1KnAgAGyNNVask8Fb2hoQHx8PP7xj3/g1VdfRVxcHP72t791euxDDz2ExsZGfPbZZ6ZtEyZMQFxcHFavXm3V63EqOBERubzyckMQY8ybKSsT7/f1BaZMMQ81RUfLlj9jZMv3t+w9NwsXLsS9996LtLQ0vPrqq10em5ubi6eeekq0bfr06di2bZvFxzQ3N6O5udn0e11dXY/aS0REpDr19cDeveZg5uRJ8X5PTyApydw7k5AA9JI9RLCbrC3ftGkT8vPzkZdnuUpke+Xl5QgJCRFtCwkJQXl5ucXHZGVl4eWXX+5RO0k7zlU14MKVJnaPE5G2tbQAhw+bg5nDh4GbN8XHjBljDmYmTTLMctII2YKbsrIyPPHEE9ixYwd69+7tsNfJzMwU9fbU1dUhPDzcYa9HysSlIYhI0wTB0BtjzJvJyQEaGsTHDB1qGGJKSzMMOQUFydNWJ5AtuDl27BgqKysRHx9v2tba2oq9e/di5cqVaG5uhru7u+gxoaGhqKioEG2rqKhAaGioxdfR6/XQ6/XSNp5Uh6v/EpHmlJaag5nsbKDD9yP69zcHM6mphuDGRcgW3KSmpuLEiROibfPmzcOwYcPw3HPP3RLYAEBiYiKys7NF08V37NiBxMRERzeXVMxYBr6j9mXgOURFRIp39aqheJ4xoPnuO/H+Pn0MU7GNwczo0YCbYiq+OJVswY23t/ct07f79euH/v37m7ZnZGRg4MCByMrKAgA88cQTSElJwfLly3Hvvfdi06ZNOHr0KN5++22nt5/Uw5oy8AxuiLRBU3l1168DBw+a82aOHTOs3WTk5gaMHWvOm0lMBDhSAUABs6W6UlpaCrd2UWdSUhI2bNiA559/HkuWLEFUVBS2bdvGGjfUJTWUgSeintFEXl1rK1BYaA5m9u83BDjtDRtmDmZSUgA/Pzlaqniy17lxNta5cU0Za49YLAPPnBuinlFCb4kq/8YFATh7Vlw878oV8TFhYeZgJjXVUEzPRamqzg2RM6xIH4PfbCwQ/a+OZeCJekYpvSWqyqurrBQXz7twQbzf2xuYPNkc0AwfLnvxPDVicEMugWXgiaQn1SzEnvb8KDqvrrHRXDwvOxv4+mvxfg8PQ65Maqph/aY77zRsox5hcEMuRYrVf5XQBU8kNyl6S6Tq+VFUXt3Nm4ZFJ409M7m5hoJ67Y0ebe6ZuesuoB8/R6TG4IbISkrpgidSAil6S6Tq+Rka5IXkqCCLOTcO/U+IIACnT5uDmT17DEsdtBcRYeiVSU01LDoZHOy49hAABjdEVmMhQNI6W3ole9pbInWejFPz6r7/3pwEvHMncOmSeH9AgCGQMRbQGzqUeTNOxuCGyAqqSlgkspE9vZI97S2ROk/GoXl1tbWGHhljMPPtt+L9vXsbhpeMQ01xcS5bPE8pGNwQWUHRCYukGXLlc9nbK9lVb0l35+KoPBkp8urQ3GzIlTH2zhw5cmvxvDvvFBfPc+AaiWQ7BjdEVlBUwiJpjpz5XD3pleyst8S/r8ctAU9n5yJrnkxHbW2GWUzGYGbvXuDaNfEx0dHmYabJkwF/f+e1j2zG4IbICor6ICanMfY+uOuAVgEO61GRM59Lil7J9r0lxmJ67Vk6F1nrT507Jy6ed1ncZoSEmAvnpaUB4eGObxNJhsENkZVYCNB1dNaTYiR1j4rc+VwB3ZyHLb2Stp6LU+tPXb4sLp5XUiLe7+VlLp6XmgqMHMkkYBVjcENkJRYCdB2d9aQYSd2jInc+1/KvzljclxwVZNNr23sukuTJdNTUBOzbZy6eV1Ag3t+rFzBhgjlvZtw4Fs/TEAY3RDZyyAcxKYal3gcjqXtU5Mzn6u5cn5l+h03PJ2tu2s2bhlWzjT0zBw8CN26Ij4mJMdSbMRbP8/Z2XHtIVgxuiIja6a73wUiqHhU587m6O9fqxhtd7u/IqeciCEBRkTmY2b0bqKsTHxMebu6ZmToVCA2V7vVJ0RjcEBG1013vg5GUvRBy5XM5oqfFoefyww+GISZjIvD334v3+/kZghhjQBMZybwZF8XghoioHUu9D0aO6IWQK5/LET0tkp5LXR2Qk2PunTl1SrxfrwcmTTInAcfHA+7u9r0WaYpOEDr569Wwuro6+Pr6ora2Fj4+PnI3h4gUqLap5ZbeByOtrSfW2bnKdo43bgCHDpmDmSNHgNZW836dDkhIMC9tMGkS0KePc9tIsrHl+5s9N0REHQi49f98MQN88McHRiE23M/5DXIgWWcBtrUBJ06YZzTl5BhmObUXGWkeZpoyxbBuE1E3GNwQEXXQ2VTw05fq8ZevvtPsIqlOmwV44YK5ZyY7G6jq0DsWHGwunJeaalhR2wXJtRSHVjC4ISJqR+6ieppTXW2YyWQMZoqLxfv79QNSUgyBzLRphunaLpwELOdSHFrC4IZcEv9XRJbIXVRP9a5dAw4cMPfO5Ocbpm0bububi+elpgLjxwOenvK1V2HsXYqDn2liDG7IpfB/RdQdLpJqo9ZWQ/E84/TsAwcMq2q3N3KkOW8mORngZI5O2dNryM+0zjG4IZci5wKFpA5cJLUbggCcOSMunldTIz5m4EBzJeCpU4GwMFmaqjb29BryM61zDG7IZTCXgqzFRVI7KC8398zs3AlcvCje7+trCGKMicB33OHSeTP2srXXkJ9pljG4IZfBXAqylssvklpfby6el50NnDwp3u/pCUycaB5qio83LERJPWJrryE/0yzju5FcBnMpyFYus0hqSwtw+LC5Z+bwYcNClEY6HTBmjDkJeNIkoK91y1QoQVfJtkpLxLWl15CfaZYxuCGXwVwKov8jCIbeGGMwk5MDNDaKjxk61BzMTJ0KBAbK09Ye6CrZVoCgyERcW3oN+ZlmGZdfIJeiqFLzNnLm/zCV9r9ZkkBpqXmYKTsbqKgQ7w8MFBfPGzJEnnZKKGPtEYtf/AAs7lNTIq6aP9NsZcv3N4MbcklqyqVw5lRPTivVkKtXzcXzdu40zHBqr08fc/G8tDQgNhZwc5OnrQ5wrqoBU5fn2PXY3c9MVvznQkdq+kyzF9eWIuqGmnIpnDnVk9NKVez6dXHxvGPHxMXz3NyAsWPNU7QnTDCsqq1R3SXbdkWNibhq+kxzBgY3RArmzKmenFaqMq2tQGGhOZjZv98Q4LQ3fLh5mGnyZMOUbQ1rP5zaXbJtV1w5EVcrGNwQKZgzp3pyWqnCCQJw9qw5mNm1yzD01F5YmHl6dmqqoZieC7A0nJo4tD+OlFyxOeeG73P1szu4qampwUcffYSzZ8/i2WefRUBAAPLz8xESEoKBLvIHReRozpzqyWmlClRZaU4A3rnTsKJ2e97ewJQp5oBm2DCXLJ5naTh1/NAATIwMtDitmoUatcuu4Ob48eNIS0uDr68vzp8/jwULFiAgIABbtmxBaWkp1q9fL3U7iVySM6d6clqpAjQ0APv2mXtnjh8X7/fwAJKSDL0yqanAuHEuXzyvq+HUg2ersfuZyQDQabKtXIUaORvR8ez6q3jqqafw6KOP4vXXX4e3t7dp+8yZM/Gzn/1MssYRkXOXAuCyA07W0gLk5ZmnaOfmGra1FxdnntF0111AP34ZtmfNcOqU6GCLQYQzE3E5G9F57Apu8vLysGbNmlu2Dxw4EOXl5VY/z6pVq7Bq1SqcP38eADBy5Ei8+OKLmDFjRqfHr1u3DvPmzRNt0+v1uN4xiY5IQ5y5FIDLLzvgaIIAnD5t7pnZs8ew1EF7t91mHmaaOhUICpKjpaqhpuFUzkZ0HruCG71ej7q6ulu2f/fddwiy4Q9x0KBBWLZsGaKioiAIAv71r39h9uzZKCgowMiRIzt9jI+PD4qKiky/61xwfJlckzP/h8lppRK6eNGcM5OdDVy6JN4fEGAIYoxTtIcOlaedKqWW4VTORnQuu4KbWbNm4ZVXXsGHH34IwBBglJaW4rnnnsODDz5o9fPcf//9ot9fe+01rFq1CocOHbIY3Oh0OoSGhtrTbCIix6upMfTIGAOab78V7+/dG0hONvfOjB6tqeJ5clDDcCpnIzqXXcHN8uXL8eMf/xjBwcG4du0aUlJSUF5ejsTERLz22mt2NaS1tRWbN29GY2MjEhMTLR7X0NCAiIgItLW1IT4+Hn/84x8tBkIA0NzcjObmZtPvnfU4EXUlp6gShRdrED/YH3dFcYiAOmhuNuTKGIea8vKAtjbzfmPxPGPeTGKiIcBRGDUnuaphOFVNw2daYFdw4+vrix07dmD//v04fvw4GhoaEB8fj7S0NJuf68SJE0hMTMT169fh5eWFrVu3YsSIEZ0eGx0djXfffRexsbGora3FX/7yFyQlJeGbb77BoEGDOn1MVlYWXn75ZZvbRXShuhFz3jqAq03mBE//vh74dOEkhPdXz4rIJLG2NuDrr83BzL59wLVr4mOio809M5MnA35+crTUKlpKclXycKpahs+0Qva1pW7cuIHS0lLU1tbio48+wjvvvIOcnByLAU57LS0tGD58ONLT0/GHP/yh02M667kJDw/n2lLUrTGvfCUKbIz8+3qg4MW7ZWgRyebcOXHxvOpq8f7QUHPhvNRUIDxcnnbaoavFJZnkKi1XWuTSEZyytlR2djays7NRWVmJtvZdsADeffddq5/H09MTkZGRAICEhATk5eXhzTff7HQ2VkceHh4YM2YMiouLLR6j1+uh1/D6KeQYOUWVnQY2AHC1qQX7zlRxiErLqqoMQYwxoPm/GZ0mXl6GHhlj78yIEaosnmdPkquah6/kpobhM62wK7h5+eWX8corr+DOO+9EWFiYpDOW2traRD0tXWltbcWJEycwc+ZMyV6fCAAKL9Z0uT+/9CqDGy1pbDQMLxmTgAsLxft79TLkyhiDmbFjDQX1VM6WJFctDV/JTcnDZ1phV3CzevVqrFu3Dj//+c979OKZmZmYMWMGBg8ejPr6emzYsAF79uzBl19+CQDIyMjAwIEDkZWVBQB45ZVXMGHCBERGRqKmpgZ//vOfceHCBTz22GM9agdRR3GD/LrcHz/Y3zkNIce4eRM4etTcM3Pw4K3F80aNMgwxTZtmmN3k5SVPWx3IliRX1mghNbEruLlx4waSkpJ6/OKVlZXIyMjApUuX4Ovri9jYWHz55ZeYNm0aAKC0tBRu7aZIXr16FQsWLEB5eTn8/f2RkJCAgwcPWpWfQ2SLlOhg+Pf1sJhzw14blREEw5RsY62Z3buBjjMnw8PNtWamTgVCQkS7tTgcY22SK2u0KJsW35s9ZVdC8XPPPQcvLy+88MILjmiTQ9mSkESuray6CbPe2s/ZUmr1ww/mYaadOw2/t+fvbwhijInAkZGd5s1ofTjGmiTX3UWVmPdensXneG/eWEyJDnZ4W0lM6+/NjhyeUHz9+nW8/fbb2LlzJ2JjY+HRYez5r3/9qz1PS6Qo4f37ouDFu7HvTBXyS6+yzo3S1dYCOTnmYOb0afF+vR6YNMmcNzNmDODu3u3Tan04xpokV9ZoUSatvzd7wu5VwePi4gAAJ0+eFO3jcgikNXdFBakuqHGJburmZuDQIXPvzJEjQGureb9OByQkmIOZpCSgTx+bXsKVhmO6SnJljRblcaX3pj3sCm52794tdTuISAKa7qZuawNOnDD3zOzdCzR1mO0TFWUeZpoyxbBuUw+wZL6ZGpY4cCV8b3bN7jo3RhcvXgQAixWCich5NNdNff68uHheVYf/qQYHm5c1SE0FIiIkfXkOx5ixRouy8L3ZNbuCm7a2Nrz66qtYvnw5GhoaAADe3t54+umn8fvf/140w4mInEMT3dTV1YaZTMaA5uxZ8f5+/YCUFHMwM2qUQ4vnueJwTHdDmkqt0eISQ7HtuOJ70xZ2BTe///3vsXbtWixbtgwTJ04EAOzfvx9Lly7F9evX7V48k4jsp8pu6mvXgP37zcFMQYFh2raRuzswYYI5mBk/HvD0dGoTXWU4Rq1DmmpttxRc5b1pD7umgg8YMACrV6/GrFmzRNs/+eQT/PrXv8b3338vWQOlxqngpFXnqhowdXmOxf27n5ksf3DT2gocO2ZOAj5wwJAY3F5MjDmYSU4GFPJ3qvXhGLWuMaXWdktJ6+9NI4dPBb9y5QqGDRt2y/Zhw4bhypUr9jwlEfWQIrupBQE4c8bcM7N7N1BTIz5m0CDzjKapU4GwMLtfzpFDE0odjpGCWoc01dpuqWn5vWkvu4Kb0aNHY+XKlfj73/8u2r5y5UqMHj1akoYRke0U0U1dXm7umcnOBsrKxPt9fc3F89LSDDOcepg348pDE1JQ5ZAm1Ntucjy7gpvXX38d9957L3bu3InExEQAQG5uLsrKyrB9+3ZJG0hE1pNlRkt9vaF4njGg6VD7Cp6e4uJ58fFWFc+zheZmiTmZWmfeqLXd5Hh2BTcpKSkoKirCP/7xD3z77bcAgB/96Ef49a9/jQEDBkjaQCKynUO7qVtagMOHzUNNhw8bFqI00ukMAYxxivbEiUBfxy1XwaGJnlPkkKYV1Npucjy769wMHDiQs6KIXIEgGHpjjMFMTg7Q2Cg+5vbbzT0zU6YA/fs7rXkcmpCGIoY07aDWdpNj2RXcDB06FCkpKVi9ejX0er1p++XLlzFu3DicO3dOsgYSkQxKS83BTHY2UFkp3h8UJC6ed9ttsjQT4NCEVNRapE+t7SbHsiu4OX/+PHr16oW77roLn376KUJDQwEAra2tuHDhgqQNJCInuHLFXDwvO9sww6m9vn0N07KNvTOjRgEKKdbJoQlpqXXmjVrbTY5hV3Cj0+nwxRdf4JlnnkFCQgK2bduGsWPHSt02InKU69cNNWaMvTPHjt1aPG/cOEOvzLRphkJ6Ti6eZwsOTRBRe3YFN4IgwMvLC1u2bEFmZiZSUlLw9ttvY9q0aVK3j4ik0NpqqP5rDGb277+1eN6IEeahppQUw5RtleDQBBG1Z3fPjVFWVhZGjhyJBQsWID09XbKGEVEPCAJQXGyenr1rF3D1qviYAQPMw0ypqYbfVY5DE0QE9KDnpr1HHnkEt99+Ox544AFJGkVEdqioMAQxxt6Z0lLxfh8fYPJk81DTsGEOXXSSiEgudq8K3lFiYiK+/vprU90bInKwhgZg715zEvDx4+L9Hh5AUpK5d+bOO4Fedld/IBfhzNW1XW0lb3Ieuz/pjh8/ju+++w4AcMcddyA2NhYhISEICQmRrHFE1E5LC5CXZ+6Zyc0VF88DgLg4czAzaRLQj18YZB1nLmHB5TLI0WxeFfzIkSOYP38+Tp06ZRqe0ul0GDlyJNauXav4WVNcFZxUQxCAU6fMwcyePYbemvZuu80wxGQsnhcUJEdLSQOcubo2V/ImezhsVfBTp04hNTUVw4cPx/vvv4/hw4ebtr/xxhtITU3FoUOHMGLECPtbT+TKysrEi06Wl4v39+8vLp43dKg87SRNceYSFlwug5zBpuBm6dKlmDZtGj7++GPRjKm4uDikp6fjRz/6EZYuXYoPP/xQ8oa6inNVDThccgU6AOOH9ucfudbV1BiK5xkDmqIi0e7W3n3QPCEJfWdONwQ0o0crpnieEfMmnE/qa+7MJSy0vFwG/xaUw6bgZvfu3fj8889FgY2RTqfDkiVLMHPmTMka50pqmm7g8ffzkXuuWrQ96fb+WPVwAsehteL6dUOujHGo6ehRoH2Cvpsbbibcif8Fj8Qm7yjkDxyG5l6eSA4IworoGPgqKLBh3oTzOeqaO3MJCy0ul8G/BeWx6ZOyvr6+y4Th0NBQ1NfX97hRrmjxxsJbAhsAOHi2Gr/ZWCBDi0gSbW1Afj7w+uvA3XcD/v7A1KnAH/8IHDli2B8dDSxcCGzZAlRX4xf/3wo8NerHyI2IRXMvQ1XgA8WXFfc+WLyxEAeKL4u2KbGdWuKoa25cwsK9w39c3XU6JEcFSdoL4czXchb+LSiPTcFNREQEjhw5YnH/4cOHERER0eNGuRpLY9BGxnFoUgFBAM6eBdasAX7yE0OCb0IC8NxzwI4dhp6b0FDgkUeAdesMOTbffgusXAk88ADOtfTC3jNVokRLQJyPoATG96zS26kljr7mK9LHYGJkoGibo5awcOZrORr/FpTJpmGpn/70p3jqqacQHR2NmJgY0b4TJ07gmWeeQUZGhqQNdAXdjUED6h6HdgRFjW1XVpqL52VnA+fPi/d7e5uL56WlGZY5sFA8Ty35CGppp5Y4+po7cwkLLS2Xwb8FZbIpuMnMzMTOnTsRFxeHadOmYfjw4RAEAadPn8bOnTsxbtw4LFmyxFFt1azuxqABdY5DO4IixrYbG4F9+8x5M19/Ld7v4QEkJpqDmbFjDdusoJZ8BLW0U0ucdc2duYSFFpbL4N+CMtkU3PTu3Ru7d+/GG2+8gY0bNyInJweAoYjfq6++it/+9rfQ6/UOaaiWGcegLQ1NqXUc2hG6Gtt2WH2MmzfNxfOys4GDBw0F9dqLjTVPz05OBry87Hop43vBUg0QpbwP1NJOLeE1VybeF2WyuYif2im1iF9tUwt+9f4xzpbqwrmqBkxdnmNx/+5nJkvzQSIIhjyY9sXz6urExwwebCiel5pqSBCWsDJ3bVMLfrOxQPEzL9TSTi3hNVcm3hfnsOX7m8GNwpRcbsShc9Wsc9OJ3UWVmPdensX9780biynRwfY9+fffi4vn/fCDeL9xlpNxaYPbb3f4opNqyUdQSzvtpaj8rv9jzzVX4nnkFFWi8GIN4gf7464o9VfX1vrfgtwcVqHYyN/f32Ktm969eyMyMhKPPvoo5s2bZ8/TuzQtjEE7iqRj27W1hh4ZY0Bz+rR4v14P3HWXoWcmNRWIjwfc3W1vdA+o5b2glnbaShH5XRbYcs2VeB4Xqhsx560DuNpkHt717+uBTxdOQnj/7nMQlUqrfwtqZFdw8+KLL+K1117DjBkzMG6cIc/hyJEj+OKLL7Bw4UKUlJTg8ccfx82bN7FgwQJJG0yuq0dj283NwKFD5qEmY40ZI53OsGq2MQk4KQno08eBZ0NKJ0t+lwMo8Tw6BjYAcLWpBbPe2o+CF++WpU2kLXYFN/v378err76KX/3qV6Lta9aswVdffYWPP/4YsbGx+Pvf/87ghiS1In3MLWPbndbHaGsDjh83BzN79wLXromPiYoyDzNNngwEBDj+BEgVtLL+kRLPI6eo8pbAxuhqUwv2nanSxBAVycuuWu5ffvkl0tLSbtmempqKL7/8EgAwc+ZMnDt3rsvnWbVqFWJjY+Hj4wMfHx8kJibi888/7/IxmzdvxrBhw9C7d2+MGjUK27dvt+cUqINzVQ3YXVSp+IJTxvoYu5+ZjPfmjcXuZyZj/fxxhu71khLgnXeAn/7UkOA7Zgzw7LPAl18C167hZmAQKu59AFVvrgIuXAC++w74xz+AH/2IgQ2JWFO7REks/f3KeR6W2lR4sabLx+WXXnVYm8h12NVzExAQgP/+97/47W9/K9r+3//+FwH/9yXR2NgIb2/vLp9n0KBBWLZsGaKioiAIAv71r39h9uzZKCgowMiRI285/uDBg0hPT0dWVhbuu+8+bNiwAXPmzEF+fv4tRQXJOkocj7fGkMB+GKK7Duzabu6d6RhM9+sHTJ6Ma8mT8YdrA7Chyccw/PQDkLyjHCvSwxR9jiQftdQu6e7vV47z6K5NcYP8unx8/GB/ydtErseu2VL//Oc/8fjjj2PmzJmmnJu8vDxs374dq1evxvz587F8+XIcOXIEH3zwgU3PHRAQgD//+c+YP3/+LfseeughNDY24rPPPjNtmzBhAuLi4rB69Wqrnl/ps6WcLWPtEYs5LIrLK7h2Ddi/3xzMFBQYpm0b9eoFTJhgzpsZNw7w9FTXOZJiqOF9Y00bnX0e1rzemFe+6nRoyr+vB3NuyCKHz5ZasGABRowYgZUrV2LLli0AgOjoaOTk5CApKQkA8PTTT9v0nK2trdi8eTMaGxuRmJjY6TG5ubl46qmnRNumT5+Obdu2WXze5uZmNDc3m36v61ivxIUpcTxe3JBW4NgxczBz4ABw44b4mJgYc95McrJhqYN2FH+OpFhW53fJxNr3tjPPw9o2fbpwEma9tb/T2VJEUrAruAGAiRMnYuLEiT1uwIkTJ5CYmIjr16/Dy8sLW7duxYgRIzo9try8/JZVyUNCQlBeXm7x+bOysvDyyy/3uJ1apLg1UQTBkAfTvnheTY34mPBwczAzdaphEcouKO4cSTWUvv6Rte9tZ56HtW0K798XBS/ejX1nqpBfelUzdW5IOewOblpbW7Ft2zac/r/6ICNHjsSsWbPgbmMtkOjoaBQWFqK2thYfffQR5s6di5ycHIsBjq0yMzNFvT11dXUIDw+X5LnVThF5BeXl5lozO3cCFy+K9/v5GYIY41BTVJRNxfOcdY5KLJBG0lBq7RJb39vOOA9b23RXVBCDGnIIu4Kb4uJizJw5E99//z2io6MBGHpIwsPD8b///Q+333671c/l6emJyMhIAEBCQgLy8vLw5ptvYs2aNbccGxoaioqKCtG2iooKhHbxv3e9Xs/1riyQZU2U+nogJ8cczHzzjXi/pycwaZK5d6aHxfMcfY5qTcgm9VPimkZKbBO5Jrumgi9evBi33347ysrKkJ+fj/z8fJSWlmLIkCFYvHhxjxrU1tYmypFpLzExEdnZ2aJtO3bssJijQ91bkT4GEyMDRdskHY+/ccOwgvZLLxmCloAA4P77gTffNAQ2Op0hgHnuOWDHDsMwVHY2kJlpWE1bgqrAjjzHrgqkETmaw/9+7aDENpHrsWu2VL9+/XDo0CGMGjVKtP3rr7/GxIkT0dDQYNXzZGZmYsaMGRg8eDDq6+uxYcMG/OlPf8KXX36JadOmISMjAwMHDkRWVhYAw1TwlJQULFu2DPfeey82bdqEP/7xjzZNBedsqc5JNh4vCMCJE+ahppwcoLFDLY3ISPMK2lOmAP3796zxVpI658BpC3kSdUOJeUFKbBOpm8NnS+n1etTX19+yvaGhAZ6enlY/T2VlJTIyMnDp0iX4+voiNjbWFNgAQGlpKdzczJ1LSUlJ2LBhA55//nksWbIEUVFR2LZtG2vcSKBH4/GlpeZhpuxsoLJSvD8oyJwzk5oK3HZbj9trD6lzDpisTEqhxLwgJbaJXIddPTcZGRnIz8/H2rVrTXVuDh8+jAULFiAhIQHr1q2Tup2SYc+NBK5cAXbvNgczZ86I9/fta5iWPW2aIaCJiQHcbB8BVXqSrhp7bpR+Tcl+vLfawXvZOYf33Pz973/H3LlzkZiYCA8PQ9JkS0sLZs+ejb/97W/2PCUp2bVrhhozxmDm2DFx8Tx3d2D8eHPPzIQJhsRgO6klSVdNyZNquaZkO95b7eC9lI5dPTdGxcXFpqngw4cPN816UjL23FihtRXIzxcXz+uY5D1ypHmoKSUFkPBaqqEyrFFtU8stBdKU+GGkpmtKtuG91Q7ey645pOemY2Xgjnbv3m3691//+ldrn5aUQBCA4mJzMLNr163F8wYOFBfPGzDAIU1RW0VhpRd6A9R3Tcl6vLfawXspLauDm4IC66a26mwosEYyqqgQF88rKxPv9/U1zGQyDjVFR9tUPM9eak3SVXLypFqvKXWP91Y7eC+lZXVw075nhlSovh7Yu9cc0Jw4Id7v6QlMnGgeakpIMCxE6WSKqJqsMbym2sV7qx28l9Jy/rcXOUdLC3DkiLln5tAh4OZN836dDoiLMw81TZpkmOUkMzUl6aoFr6l28d5qB++ltHqUUKxGmk0oFgRDxV/jjKY9e4COxRSHDjUHM1OmAIGBnT6V3NSSpKsmvKbaxXurHbyXXbPl+5vBjZqVlZmHmbKzDYtQthcYaBhmMv4MHSpPO+2k5CRdteI11S7eW+3gvewcg5suqDq4uXrV0CNjDGaKisT7+/QxFM8z9s7ExtpVPI+IiEhpHF7Ej+xnU+XJ69eBgwfNvTNHjwJtbeb9bm7AuHHmYGbCBIAroANghU+SF99/lvHakDMwuHESqypPtrUBhYXmJOB9+wwBTnvDhhmGmKZNMxTP8/Nz2jmoASt8kpz4/rOM14acicNSTtJp5UkAD/g24y/9L5uL51VXix8YFmbumUlNNRTTI4tY4ZPkxPefZbw21FMcllKY9pUnA5pqkXTha0w8X4hJF75GeG2F+GBvb8NMJmO9meHDnVI8TwtY4ZPkxPefZbw25GwMbhytsRH1n3yGJbs+xKQLhRhRWSLafcOtF5rix8Jv1gxDMDN2rCzF87SAFT5JTnz/WcZrQ87Gb1Gp3bwJ5OWZZzQdPIjRLS0Y3e6QU8FDsD8iDgdui8ORQSOxfck98OMfdo+xwifJie8/y3htyNkY3Ejl2DHglVcMU7Xr6sT7IiKwZ3ActvpHY//gWFT38wPAypNSY4VPkhPff5bx2pCzsQiKVAQB+PRTQ2ATEAD8+MfA6tWG1bZLSjDmi824OutBU2ADABMjA7EifYx8bdagFeljMDFSXHmZ15mche8/y3htyJk4W0oqra3A3/5mSAaOi7NYPI+VJ52D15nkxPefZbw2ZC9WKO6CqisUExERuShbvr85LEVERESawuCGiIiINIWzpVSIa7MQOQ//3tSD98p2Wr1mDG5UhGuzEDkP/97Ug/fKdlq/ZhyWUpHFGwtxoPiyaNuB4sv4zcYCmVpEpF38e1MP3ivbaf2aMbhRCePaLK0dJre1X5uFiKTBvzf14L2ynStcMwY3KmHN2ixEJA3+vakH75XtXOGaMbhRCa7NQuQ8/HtTD94r27nCNWNwoxLGtVncdTrRdnedDslRQZrKcieSG//e1IP3ynaucM0Y3KiILWuznKtqwO6iSk2MnboKue+Z3K+vNK66FpIa3weueq96QuvXjMsvqFBXa7NofXqfFsl9z+R+faVzlbWQtPA+cJV7JSU1XTOuLdUFLQQ3XclYewQHii+LsuDddTpMjAzE+vnjZGwZWSL3PZP79UkZ+D4gpePaUi7KFab3aY3c90zu1ydl4PuAtIbBjYa4wvQ+rZH7nsn9+qQMfB+Q1jC40RBXmN6nNXLfM7lfn5SB7wPSGlmDm6ysLIwdOxbe3t4IDg7GnDlzUFRU1OVj1q1bB51OJ/rp3bu3k1qsbK4wvU9r5L5ncr8+KQPfB6Q1sgY3OTk5WLhwIQ4dOoQdO3agpaUFd999Nxobu+4C9fHxwaVLl0w/Fy5ccFKLlU/r0/u0yNZ7JvVUXaneM2qcQkxm/OwgLVHUbKmqqioEBwcjJycHycnJnR6zbt06PPnkk6ipqbHrNbQ+W8pITdP7yKC7e+boqbr2vme0MIWYzPjZQUql2tlStbW1AICAgIAuj2toaEBERATCw8Mxe/ZsfPPNNxaPbW5uRl1dnejHFQwJ7Icp0cH8cFKR7u6Zo1fxtfc9o/XVhV0NPztICxQT3LS1teHJJ5/ExIkTERMTY/G46OhovPvuu/jkk0/w/vvvo62tDUlJSbh48WKnx2dlZcHX19f0Ex4e7qhTIHIYpU7VVWq7iMi1KSa4WbhwIU6ePIlNmzZ1eVxiYiIyMjIQFxeHlJQUbNmyBUFBQVizZk2nx2dmZqK2ttb0U1ZW5ojmEzmUUqfqKrVdROTaesndAABYtGgRPvvsM+zduxeDBg2y6bEeHh4YM2YMiouLO92v1+uh1+ulaCaRbJQ6VVep7SIi1yZrz40gCFi0aBG2bt2KXbt2YciQITY/R2trK06cOIGwsDAHtJBIGZQ6VVep7SIi1yZrcLNw4UK8//772LBhA7y9vVFeXo7y8nJcu3bNdExGRgYyMzNNv7/yyiv46quvcO7cOeTn5+ORRx7BhQsX8Nhjj8lxCkROo9SpukptFxG5LlmHpVatWgUAmDx5smj7e++9h0cffRQAUFpaCjc3cwx29epVLFiwAOXl5fD390dCQgIOHjyIESNGOKvZLu1cVQMuXGniNFEZ+Pb1wPr54xQ3VVep7SLqKSV/3im5bUqgqDo3zuAqdW6kxlomROQqlPx5p+S2OZpq69yQcrGWCRG5CiV/3im5bUrC4Ia6xVomROQqlPx5p+S2KQ2DG+oWa5kQkatQ8uedktumNAxuqFusZUJErkLJn3dKbpvSMLihbrGWCRG5CiV/3im5bUrD4IaswlomROQqlPx5p+S2KQmngpNNWMuEiFyFkj/vlNw2R7Hl+5vBDRERKQ6L1FFHtnx/K2LhTCIiIsC1i9SRdJhzQ0REisEidSQFBjdERKQILFJHUmFwQ0REisAidSQVBjdERKQILFJHUmFwQ0REisAidSQVBjdERKQYLFJHUuBUcCIiUgzfvh5YP3+cSxapI+kwuNGInKJKFF6sQfxgf9wVFWTTY1ksi4iUZkggP4/IfgxuVO5CdSPmvHUAV5taTNv8+3rg04WTEN6/6+Q8FssiIiItYs6NynUMbADgalMLZr21v9vHslgWERFpEYMbFcspqrwlsDG62tSCfe16ZDpisSwiItIqBjcqVnixpsv9+aVXLe5jsSwiItIqBjcqFjfIr8v98YP9Le5jsSwiItIqBjcqlhIdDH8Lib/+fT26nDXFYllERKRVDG5U7tOFk24JcIyzpbrDYllERKRFOkHokFGqcXV1dfD19UVtbS18fHzkbo5k9p2pQn7pVbvq3LBYFhERKZ0t398MboiIiEjxbPn+5rAUERERaQorFKsIl0kgIiLqHoMbFeAyCURERNbjsJQKcJkEIiIi6zG4UTguk0BERGQbBjcKx2USiIiIbMPgRuG4TAIREZFtGNwoHJdJICIiso2swU1WVhbGjh0Lb29vBAcHY86cOSgqKur2cZs3b8awYcPQu3dvjBo1Ctu3b3dCa+XDZRKIiIisJ+tU8JycHCxcuBBjx47FzZs3sWTJEtx99904deoU+vXrvEfi4MGDSE9PR1ZWFu677z5s2LABc+bMQX5+PmJiYpx8Bs7h29cD6+eP4zIJREREVlDU8gtVVVUIDg5GTk4OkpOTOz3moYceQmNjIz777DPTtgkTJiAuLg6rV6/u9jW4/AIREZH6qHb5hdraWgBAQECAxWNyc3ORlpYm2jZ9+nTk5uZ2enxzczPq6upEP0RERKRdiglu2tra8OSTT2LixIldDi+Vl5cjJCREtC0kJATl5eWdHp+VlQVfX1/TT3h4uKTtJiIiImVRTHCzcOFCnDx5Eps2bZL0eTMzM1FbW2v6KSsrk/T5yVBocOORUmw6UsqigkREJDtFrC21aNEifPbZZ9i7dy8GDRrU5bGhoaGoqKgQbauoqEBoaGinx+v1euj1esnaSmY1TTfw+Pv5yD1XLdqedHt/rHo4geteERGRLGTtuREEAYsWLcLWrVuxa9cuDBkypNvHJCYmIjs7W7Rtx44dSExMdFQzyYLFGwtvCWwA4ODZaq57RUREspE1uFm4cCHef/99bNiwAd7e3igvL0d5eTmuXbtmOiYjIwOZmZmm35944gl88cUXWL58Ob799lssXboUR48exaJFi+Q4BZdlXPPKEq57RUREcpE1uFm1ahVqa2sxefJkhIWFmX4++OAD0zGlpaW4dOmS6fekpCRs2LABb7/9NkaPHo2PPvoI27Zt02yNG6Xqbs0rgOteERGRPGTNubGmxM6ePXtu2faTn/wEP/nJTxzQIrJWd2teAVz3ioiI5KGY2VKkLsY1ryzhuldERCQXBjdktxXpY5A4tP8t25Nu7891r4iISDaKmApO6uTb1wMbfzkBJZcbcehcNXQAxg/tzx4bIiKSFYMb6rEhgVzIk4iIlIPDUkRERKQpDG6IiIhIUxjcEBERkaYw54Y061xVAy5cacJt/ZkTRETkShjckObUNN3A4o2FouUhkqOCsCJ9DBfzJCJyARyWIs1ZvLEQB4ovi7YdKL7MxTyJiFwEgxvSFOOCnq0dlvZoFQQu5klE5CIY3JCmdLegJxfzJCLSPgY3pCndLejJxTyJiLSPwQ1pinFBT3edTrTdXafjYp5ERC6CwQ1pzor0MZgYGSjaNjEykIt5EhG5CE4FJ83x7euB9fPHoeRyI85XN7LODRGRi2FwQ5rFBT2JiFwTh6WIiIhIUxjcEBERkaYwuCEiIiJNYXBDREREmsLghoiIiDSFwQ0RERFpCoMbIiIi0hQGN0RERKQpDG6IiIhIUxjcEBERkaYwuCEiIiJNYXBDREREmsLghoiIiDSFwQ0RERFpCoMbIiIi0hQGN0RERKQpDG6IiIhIU2QNbvbu3Yv7778fAwYMgE6nw7Zt27o8fs+ePdDpdLf8lJeXO6fBREREpHiyBjeNjY0YPXo03nrrLZseV1RUhEuXLpl+goODHdRCIiIiUptecr74jBkzMGPGDJsfFxwcDD8/P+kbRERERKqnypybuLg4hIWFYdq0aThw4ECXxzY3N6Ourk70Q0RERNqlquAmLCwMq1evxscff4yPP/4Y4eHhmDx5MvLz8y0+JisrC76+vqaf8PBwJ7aYiIiInE0nCIIgdyMAQKfTYevWrZgzZ45Nj0tJScHgwYPx73//u9P9zc3NaG5uNv1eV1eH8PBw1NbWwsfHpydNJiIiIiepq6uDr6+vVd/fsubcSGHcuHHYv3+/xf16vR56vd6JLSIiIiI5qWpYqjOFhYUICwuTuxlERESkELL23DQ0NKC4uNj0e0lJCQoLCxEQEIDBgwcjMzMT33//PdavXw8A+Nvf/oYhQ4Zg5MiRuH79Ot555x3s2rULX331lVynQERERAoja3Bz9OhRTJkyxfT7U089BQCYO3cu1q1bh0uXLqG0tNS0/8aNG3j66afx/fffo2/fvoiNjcXOnTtFz0FERESuTTEJxc5iS0KS2pyrasCFK024rX8/DAnsJ3dziIiIJONSCcUE1DTdwOKNhdh7psq0LTkqCCvSx8C3r4eMLSMiInI+1ScUE7B4YyEOFF8WbTtQfBm/2VggU4uIiIjkw+BG5c5VNWDvmSq0dhhdbBUE7D1ThZLLjTK1jIiISB4MblTuwpWmLvefr2ZwQ0REroXBjcpFBPTtcv9t/ZlYTEREroXBjcoNDfJCclQQ3HU60XZ3nQ7JUUGcNUVERC6HwY0GrEgfg4mRgaJtEyMDsSJ9jEwtIiIikg+ngmuAb18PrJ8/DiWXG3G+upF1boiIyKUxuNGQIYEMaoiIiDgsRURERJrC4IaIiIg0hcENERERaQqDGyIiItIUBjdERESkKQxuiIiISFMY3BAREZGmMLghIiIiTWFwQ0RERJrC4IaIiIg0xeWWXxAEAQBQV1cnc0uIiIjIWsbvbeP3eFdcLripr68HAISHh8vcEiIiIrJVfX09fH19uzxGJ1gTAmlIW1sbfvjhB3h7e0On00n63HV1dQgPD0dZWRl8fHwkfW41cPXzB3gNeP6uff4Ar4Grnz/guGsgCALq6+sxYMAAuLl1nVXjcj03bm5uGDRokENfw8fHx2Xf1ADPH+A14Pm79vkDvAaufv6AY65Bdz02RkwoJiIiIk1hcENERESawuBGQnq9Hi+99BL0er3cTZGFq58/wGvA83ft8wd4DVz9/AFlXAOXSygmIiIibWPPDREREWkKgxsiIiLSFAY3REREpCkMboiIiEhTGNxI5K233sJtt92G3r17Y/z48Thy5IjcTXKYpUuXQqfTiX6GDRtm2n/9+nUsXLgQ/fv3h5eXFx588EFUVFTI2OKe2bt3L+6//34MGDAAOp0O27ZtE+0XBAEvvvgiwsLC0KdPH6SlpeHMmTOiY65cuYKHH34YPj4+8PPzw/z589HQ0ODEs7Bfd+f/6KOP3vJ+uOeee0THqPn8s7KyMHbsWHh7eyM4OBhz5sxBUVGR6Bhr3vOlpaW499570bdvXwQHB+PZZ5/FzZs3nXkqdrPmGkyePPmW98GvfvUr0TFqvQarVq1CbGysqShdYmIiPv/8c9N+rd9/oPtroLj7L1CPbdq0SfD09BTeffdd4ZtvvhEWLFgg+Pn5CRUVFXI3zSFeeuklYeTIkcKlS5dMP1VVVab9v/rVr4Tw8HAhOztbOHr0qDBhwgQhKSlJxhb3zPbt24Xf//73wpYtWwQAwtatW0X7ly1bJvj6+grbtm0Tvv76a2HWrFnCkCFDhGvXrpmOueeee4TRo0cLhw4dEvbt2ydERkYK6enpTj4T+3R3/nPnzhXuuece0fvhypUromPUfP7Tp08X3nvvPeHkyZNCYWGhMHPmTGHw4MFCQ0OD6Zju3vM3b94UYmJihLS0NKGgoEDYvn27EBgYKGRmZspxSjaz5hqkpKQICxYsEL0PamtrTfvVfA0+/fRT4X//+5/w3XffCUVFRcKSJUsEDw8P4eTJk4IgaP/+C0L310Bp95/BjQTGjRsnLFy40PR7a2urMGDAACErK0vGVjnOSy+9JIwePbrTfTU1NYKHh4ewefNm07bTp08LAITc3FwntdBxOn65t7W1CaGhocKf//xn07aamhpBr9cLGzduFARBEE6dOiUAEPLy8kzHfP7554JOpxO+//57p7VdCpaCm9mzZ1t8jJbOXxAEobKyUgAg5OTkCIJg3Xt++/btgpubm1BeXm46ZtWqVYKPj4/Q3Nzs3BOQQMdrIAiGL7cnnnjC4mO0dg38/f2Fd955xyXvv5HxGgiC8u4/h6V66MaNGzh27BjS0tJM29zc3JCWlobc3FwZW+ZYZ86cwYABAzB06FA8/PDDKC0tBQAcO3YMLS0tousxbNgwDB48WJPXo6SkBOXl5aLz9fX1xfjx403nm5ubCz8/P9x5552mY9LS0uDm5obDhw87vc2OsGfPHgQHByM6OhqPP/44qqurTfu0dv61tbUAgICAAADWvedzc3MxatQohISEmI6ZPn066urq8M033zix9dLoeA2M/vOf/yAwMBAxMTHIzMxEU1OTaZ9WrkFrays2bdqExsZGJCYmuuT973gNjJR0/11u4UypXb58Ga2traIbBgAhISH49ttvZWqVY40fPx7r1q1DdHQ0Ll26hJdffhl33XUXTp48ifLycnh6esLPz0/0mJCQEJSXl8vTYAcynlNn99+4r7y8HMHBwaL9vXr1QkBAgCauyT333IMf/ehHGDJkCM6ePYslS5ZgxowZyM3Nhbu7u6bOv62tDU8++SQmTpyImJgYALDqPV9eXt7pe8S4T006uwYA8LOf/QwREREYMGAAjh8/jueeew5FRUXYsmULAPVfgxMnTiAxMRHXr1+Hl5cXtm7dihEjRqCwsNBl7r+lawAo7/4zuCGbzZgxw/Tv2NhYjB8/HhEREfjwww/Rp08fGVtGcvjpT39q+veoUaMQGxuL22+/HXv27EFqaqqMLZPewoULcfLkSezfv1/upsjG0jX45S9/afr3qFGjEBYWhtTUVJw9exa33367s5spuejoaBQWFqK2thYfffQR5s6di5ycHLmb5VSWrsGIESMUd/85LNVDgYGBcHd3vyUzvqKiAqGhoTK1yrn8/Pxwxx13oLi4GKGhobhx4wZqampEx2j1ehjPqav7HxoaisrKStH+mzdv4sqVK5q8JkOHDkVgYCCKi4sBaOf8Fy1ahM8++wy7d+/GoEGDTNutec+HhoZ2+h4x7lMLS9egM+PHjwcA0ftAzdfA09MTkZGRSEhIQFZWFkaPHo0333zTpe6/pWvQGbnvP4ObHvL09ERCQgKys7NN29ra2pCdnS0ai9SyhoYGnD17FmFhYUhISICHh4foehQVFaG0tFST12PIkCEIDQ0VnW9dXR0OHz5sOt/ExETU1NTg2LFjpmN27dqFtrY20weAlly8eBHV1dUICwsDoP7zFwQBixYtwtatW7Fr1y4MGTJEtN+a93xiYiJOnDghCvJ27NgBHx8fU7e+knV3DTpTWFgIAKL3gZqvQUdtbW1obm52iftvifEadEb2+y95irIL2rRpk6DX64V169YJp06dEn75y18Kfn5+oqxwLXn66aeFPXv2CCUlJcKBAweEtLQ0ITAwUKisrBQEwTAtcvDgwcKuXbuEo0ePComJiUJiYqLMrbZffX29UFBQIBQUFAgAhL/+9a9CQUGBcOHCBUEQDFPB/fz8hE8++UQ4fvy4MHv27E6ngo8ZM0Y4fPiwsH//fiEqKko1U6G7Ov/6+nrhmWeeEXJzc4WSkhJh586dQnx8vBAVFSVcv37d9BxqPv/HH39c8PX1Ffbs2SOa5trU1GQ6prv3vHEa7N133y0UFhYKX3zxhRAUFKSaqcDdXYPi4mLhlVdeEY4ePSqUlJQIn3zyiTB06FAhOTnZ9Bxqvga/+93vhJycHKGkpEQ4fvy48Lvf/U7Q6XTCV199JQiC9u+/IHR9DZR4/xncSGTFihXC4MGDBU9PT2HcuHHCoUOH5G6Swzz00ENCWFiY4OnpKQwcOFB46KGHhOLiYtP+a9euCb/+9a8Ff39/oW/fvsIDDzwgXLp0ScYW98zu3bsFALf8zJ07VxAEw3TwF154QQgJCRH0er2QmpoqFBUViZ6jurpaSE9PF7y8vAQfHx9h3rx5Qn19vQxnY7uuzr+pqUm4++67haCgIMHDw0OIiIgQFixYcEtgr+bz7+zcAQjvvfee6Rhr3vPnz58XZsyYIfTp00cIDAwUnn76aaGlpcXJZ2Of7q5BaWmpkJycLAQEBAh6vV6IjIwUnn32WVGdE0FQ7zX4xS9+IURERAienp5CUFCQkJqaagpsBEH7918Qur4GSrz/OkEQBOn7g4iIiIjkwZwbIiIi0hQGN0RERKQpDG6IiIhIUxjcEBERkaYwuCEiIiJNYXBDREREmsLghoiIiDSFwQ0RERFpCoMbIlK1pUuXIi4uTu5mEJGCMLghIllVVVXh8ccfx+DBg6HX6xEaGorp06fjwIEDTm3H+fPnodPpTD8BAQFISUnBvn37nNoOIuo5BjdEJKsHH3wQBQUF+Ne//oXvvvsOn376KSZPnozq6mqntaGlpcX07507d+LSpUvYu3cvBgwYgPvuuw8VFRVOawsR9RyDGyKSTU1NDfbt24c//elPmDJlCiIiIjBu3DhkZmZi1qxZAIDS0lLMnj0bXl5e8PHxwf/7f/+vy2AjLy8P06ZNQ2BgIHx9fZGSkoL8/HzRMTqdDqtWrcKsWbPQr18/vPbaa6Z9/fv3R2hoKGJiYrBkyRLU1dXh8OHDjrkAROQQDG6ISDZeXl7w8vLCtm3b0NzcfMv+trY2zJ49G1euXEFOTg527NiBc+fO4aGHHrL4nPX19Zg7dy7279+PQ4cOISoqCjNnzkR9fb3ouKVLl+KBBx7AiRMn8Itf/OKW57l27RrWr18PAPD09OzhmRKRM/WSuwFE5Lp69eqFdevWYcGCBVi9ejXi4+ORkpKCn/70p4iNjUV2djZOnDiBkpIShIeHAwDWr1+PkSNHIi8vD2PHjr3lOadOnSr6/e2334afnx9ycnJw3333mbb/7Gc/w7x580y/nz9/HgCQlJQENzc3NDU1QRAEJCQkIDU11QFnT0SOwp4bIpLVgw8+iB9++AGffvop7rnnHuzZswfx8fFYt24dTp8+jfDwcFNgAwAjRoyAn58fTp8+3enzVVRUYMGCBYiKioKvry98fHzQ0NCA0tJS0XF33nlnp4//4IMPUFBQgI8//hiRkZFYt24dPDw8pDthInI49twQkex69+6NadOmYdq0aXjhhRfw2GOP4aWXXsLTTz9t83PNnTsX1dXVePPNNxEREQG9Xo/ExETcuHFDdFy/fv06fXx4eDiioqIQFRWFmzdv4oEHHsDJkyeh1+vtOjcicj723BCR4owYMQKNjY0YPnw4ysrKUFZWZtp36tQp1NTUYMSIEZ0+9sCBA1i8eDFmzpyJkSNHQq/X4/Lly3a148c//jF69eqFf/zjH3Y9nojkweCGiGRTXV2NqVOn4v3338fx48dRUlKCzZs34/XXX8fs2bORlpaGUaNG4eGHH0Z+fj6OHDmCjIwMpKSkWBxWioqKwr///W+cPn0ahw8fxsMPP4w+ffrY1T6dTofFixdj2bJlaGpq6smpEpETMbghItl4eXlh/PjxeOONN5CcnIyYmBi88MILWLBgAVauXAmdTodPPvkE/v7+SE5ORlpaGoYOHYoPPvjA4nOuXbsWV69eRXx8PH7+859j8eLFCA4OtruNc+fORUtLC1auXGn3cxCRc+kEQRDkbgQRERGRVNhzQ0RERJrC4IaIiIg0hcENERERaQqDGyIiItIUBjdERESkKQxuiIiISFMY3BAREZGmMLghIiIiTWFwQ0RERJrC4IaIiIg0hcENERERacr/D2KvsCm4DZ13AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# logOzone verus solar radiation:\n", "\n", "# fit the model\n", "fit_rad = smf.ols(formula = 'logOzone ~ SolarR', data=Air).fit()\n", "print(fit_rad.summary(slim=True))\n", "\n", "# Get prediction based on the model:\n", "rad_range = pd.DataFrame({'SolarR': np.arange(0,360, 10)})\n", "pred = fit_rad.get_prediction(rad_range).summary_frame(alpha=0.05)\n", "\n", "# Plot data with model predictions:\n", "Air.plot.scatter('SolarR', 'logOzone')\n", "plt.plot(rad_range, pred[\"mean\"], color=\"red\")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice.\n", "\n", "Now we try the last explanatory variable:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.338\n", "Model: OLS Adj. R-squared: 0.332\n", "No. Observations: 115 F-statistic: 57.65\n", "Covariance Type: nonrobust Prob (F-statistic): 9.73e-12\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 4.7377 0.181 26.227 0.000 4.380 5.096\n", "Wind -0.1307 0.017 -7.593 0.000 -0.165 -0.097\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# logOzone verus wind:\n", "\n", "# fit the model\n", "fit_wind = smf.ols(formula = 'logOzone ~ Wind', data=Air).fit()\n", "print(fit_wind.summary(slim=True))\n", "\n", "# Get prediction based on the model:\n", "wind_range = pd.DataFrame({'Wind': np.arange(0,30,5)})\n", "pred = fit_wind.get_prediction(wind_range).summary_frame(alpha=0.05)\n", "\n", "# Plot data with model predictions:\n", "Air.plot.scatter('Wind', 'logOzone')\n", "plt.plot(wind_range, pred[\"mean\"], color=\"red\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "#### Can we somehow combine all the variables into one model?? \n", "\n", "#### The answer is yes - with **Multiple Linear Regression** \n", "\n", "(return to slides/blackboard before proceding)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Ozon concentration with Multiple Linear Regression" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.674\n", "Model: OLS Adj. R-squared: 0.664\n", "No. Observations: 110 F-statistic: 72.91\n", "Covariance Type: nonrobust Prob (F-statistic): 1.16e-25\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.2614 0.520 0.502 0.617 -0.770 1.293\n", "Temp 0.0445 0.006 7.829 0.000 0.033 0.056\n", "SolarR 0.0022 0.001 4.248 0.000 0.001 0.003\n", "Wind -0.0693 0.015 -4.774 0.000 -0.098 -0.041\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 2.57e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] } ], "source": [ "# Mulitiple Linear Regression\n", "\n", "# fit the full model with 3 explanatopry variables:\n", "fit_full_model = smf.ols(formula = 'logOzone ~ Temp + SolarR + Wind', data=Air).fit() # Notice how the model is formulated in python!\n", "print(fit_full_model.summary(slim=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a coefficient (parameter estimate) for each explanatory variable in the model (+ for the intercept)\n", "\n", "Each parameter estimate also has a Standard Error\n", "\n", "For each parameter a t-test is performed (t_obs and p-values and confidence intervals are calculated)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Confidence and prediction intervals" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "# We will now predict for many values of Temp and Wind (but keep SolarR constant in order to be able to plot in 3D)\n", "\n", "Temp_range = np.linspace(50, 100, 100)\n", "Wind_range = np.linspace(0, 25, 100)\n", "SolarR_new = Air[\"SolarR\"].mean()\n", "\n", "Temp_new, Wind_new = np.meshgrid(Temp_range, Wind_range) # make a meshgrid" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Temp SolarR Wind\n", "0 50.000000 187.158621 0.0\n", "1 50.505051 187.158621 0.0\n", "2 51.010101 187.158621 0.0\n", "3 51.515152 187.158621 0.0\n", "4 52.020202 187.158621 0.0\n", "... ... ... ...\n", "9995 97.979798 187.158621 25.0\n", "9996 98.484848 187.158621 25.0\n", "9997 98.989899 187.158621 25.0\n", "9998 99.494949 187.158621 25.0\n", "9999 100.000000 187.158621 25.0\n", "\n", "[10000 rows x 3 columns]\n" ] } ], "source": [ "New_data = pd.DataFrame({'Temp': Temp_new.reshape(1,-1)[0], # a bit of \"wrangling\" is needed\n", " 'SolarR': SolarR_new,\n", " 'Wind': Wind_new.reshape(1,-1)[0]})\n", "print(New_data)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Temp SolarR Wind mean mean_se mean_ci_lower \\\n", "0 50.000000 187.158621 0.0 2.894243 0.265920 2.367030 \n", "1 50.505051 187.158621 0.0 2.916696 0.263441 2.394399 \n", "2 51.010101 187.158621 0.0 2.939149 0.260969 2.421752 \n", "3 51.515152 187.158621 0.0 2.961602 0.258506 2.449089 \n", "4 52.020202 187.158621 0.0 2.984055 0.256051 2.476409 \n", "5 52.525253 187.158621 0.0 3.006508 0.253605 2.503712 \n", "6 53.030303 187.158621 0.0 3.028961 0.251167 2.530997 \n", "7 53.535354 187.158621 0.0 3.051414 0.248739 2.558264 \n", "8 54.040404 187.158621 0.0 3.073867 0.246321 2.585512 \n", "9 54.545455 187.158621 0.0 3.096320 0.243912 2.612741 \n", "\n", " mean_ci_upper obs_ci_lower obs_ci_upper \n", "0 3.421455 1.829490 3.958995 \n", "1 3.438993 1.854369 3.979023 \n", "2 3.456545 1.879222 3.999075 \n", "3 3.474115 1.904051 4.019153 \n", "4 3.491701 1.928854 4.039256 \n", "5 3.509304 1.953631 4.059384 \n", "6 3.526925 1.978383 4.079538 \n", "7 3.544564 2.003110 4.099718 \n", "8 3.562221 2.027810 4.119924 \n", "9 3.579898 2.052484 4.140156 \n", "10000\n" ] } ], "source": [ "pred = fit_full_model.get_prediction(New_data).summary_frame(alpha=0.05) # get predictions\n", "New_data_with_pred = pd.concat([New_data, pred], axis=1) # merge data with predictions\n", "print(New_data_with_pred.head(10))\n", "print(len(New_data_with_pred))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a 3D plot \n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "# Plot a surface\n", "ax.plot_surface(np.array(New_data_with_pred[\"Temp\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"Wind\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"mean\"]).reshape(100,100))\n", "\n", "ax.plot_surface(np.array(New_data_with_pred[\"Temp\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"Wind\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"mean_ci_upper\"]).reshape(100,100), color=\"grey\")\n", "\n", "ax.plot_surface(np.array(New_data_with_pred[\"Temp\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"Wind\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"mean_ci_lower\"]).reshape(100,100), color=\"grey\")\n", "\n", "ax.plot_surface(np.array(New_data_with_pred[\"Temp\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"Wind\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"obs_ci_upper\"]).reshape(100,100), color=\"lightgrey\")\n", "\n", "ax.plot_surface(np.array(New_data_with_pred[\"Temp\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"Wind\"]).reshape(100,100),\n", " np.array(New_data_with_pred[\"obs_ci_lower\"]).reshape(100,100), color=\"lightgrey\")\n", "\n", "# Add labels\n", "ax.set_xlabel('Temp')\n", "ax.set_ylabel('Wind')\n", "ax.set_zlabel('logOzone')\n", "\n", "#ax.view_init(elev=20, azim=10) \n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The blue plane are the predicted values. \n", "\n", "The light grey is the prediction interval.\n", "\n", "The dark grey is the confidence-interval (for the plane)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Model selection" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.674\n", "Model: OLS Adj. R-squared: 0.664\n", "No. Observations: 110 F-statistic: 72.91\n", "Covariance Type: nonrobust Prob (F-statistic): 1.16e-25\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.2614 0.520 0.502 0.617 -0.770 1.293\n", "Temp 0.0445 0.006 7.829 0.000 0.033 0.056\n", "SolarR 0.0022 0.001 4.248 0.000 0.001 0.003\n", "Wind -0.0693 0.015 -4.774 0.000 -0.098 -0.041\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 2.57e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] } ], "source": [ "# re-visit the Multiple Linear Regression model:\n", "print(fit_full_model.summary(slim=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can we have even more explanatory variables?\n", "\n", "Are more variables always better?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### How do we select the best model? How do we choose which explanatory variables to include?" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Ozone SolarR Wind Temp Month Day logOzone fake\n", "0 41.0 190.0 7.4 67 5 1 3.713572 -0.488099\n", "1 36.0 118.0 8.0 72 5 2 3.583519 -2.068576\n", "2 12.0 149.0 12.6 74 5 3 2.484907 0.750776\n", "3 18.0 313.0 11.5 62 5 4 2.890372 0.126254\n", "4 NaN NaN 14.3 56 5 5 NaN 0.812259\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# First imagine we had even MORE explanatory variables:\n", "\n", "# lets make a \"fake\" variable:\n", "Air[\"fake\"] = stats.norm.rvs(size=len(Air))\n", "print(Air.head())\n", "\n", "Air.plot.scatter('fake', 'logOzone')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What would happen if we added this \"fake\" variable to the full model?" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.674\n", "Model: OLS Adj. R-squared: 0.661\n", "No. Observations: 110 F-statistic: 54.25\n", "Covariance Type: nonrobust Prob (F-statistic): 1.03e-24\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.2552 0.523 0.488 0.627 -0.782 1.292\n", "Temp 0.0446 0.006 7.801 0.000 0.033 0.056\n", "SolarR 0.0022 0.001 4.166 0.000 0.001 0.003\n", "Wind -0.0692 0.015 -4.743 0.000 -0.098 -0.040\n", "fake 0.0146 0.045 0.324 0.747 -0.075 0.104\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 2.57e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] } ], "source": [ "fit_full_model = smf.ols(formula = 'logOzone ~ Temp + SolarR + Wind + fake', data=Air).fit()\n", "print(fit_full_model.summary(slim=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"slope\" parameter for \"fake\" is not significant (not significantly different from zero). We see this fram the p-value, which is 0.747 (much larger than 0.05).\n", "\n", "This is because \"fake\" carries no information - it is just random values and has no correlation with the outcome variable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Model Selection:**\n", "\n", "So the question is how to choose which variable to include in a model - its not always better to include more variables. \n", "\n", "There are different approaches for selecting which explanatory variables to include in the model (*model selection*):\n", "\n", "*Backward selection*: Remove the least significant variables one at the time\n", "\n", "*Forward selection*: Start with the most significant variable and add one at the time\n", "\n", "OBS: There is no perfect way to do model selection! One should also be aware of possible correlations in explanatory variables. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Model control" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# full model with 3 explanatory variables:\n", "fit_full_model = smf.ols(formula = 'logOzone ~ Temp + SolarR + Wind', data=Air).fit()\n", "\n", "# residuals:\n", "residuals = fit_full_model.resid\n", "fittedvalues = fit_full_model.fittedvalues\n", "\n", "fig, (ax1, ax2) = plt.subplots(1,2,figsize=(12,4))\n", "\n", "# qq-plot of resiudals:\n", "sm.qqplot(residuals,ax=ax1, line='s')\n", "ax1.set_title(\"QQ plot of residuals\")\n", "\n", "# plot residuals versus fitted values:\n", "ax2.scatter(fittedvalues,residuals)\n", "ax2.set_xlabel(\"fitted values\")\n", "ax2.set_ylabel(\"residuals\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "qq-plot: check normality of residuals (this one looks fine because the points are almost on the straight line)\n", "\n", "scatter plot is used to look for patterns in residuals (here we se no obvious pattern - at least not a strong one)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot residuals versus individual explanatory variables:\n", "Air[\"residuals\"] = residuals\n", "fig, (ax0, ax1, ax2) = plt.subplots(1,3,figsize=(12,4))\n", "\n", "# plot residuals versus fitted values:\n", "ax0.scatter(Air[\"Temp\"],Air[\"residuals\"])\n", "ax0.set_xlabel(\"Temp\")\n", "ax0.set_ylabel(\"residuals\")\n", "\n", "ax1.scatter(Air[\"SolarR\"],Air[\"residuals\"])\n", "ax1.set_xlabel(\"SolarR\")\n", "ax1.set_ylabel(\"residuals\")\n", "\n", "ax2.scatter(Air[\"Wind\"],Air[\"residuals\"])\n", "ax2.set_xlabel(\"Wind\")\n", "ax2.set_ylabel(\"residuals\")\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see no obvious patterns in the residuals - which is good!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: curvilinear regression" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Look at the original data (but with log(ozone))\n", "\n", "# split to make 4 plots:\n", "fig, (ax0, ax1, ax2) = plt.subplots(1, 3, figsize=(16,4))\n", "\n", "# scatter plots with logOzone versus the three other columns\n", "Air.plot.scatter('Wind', 'logOzone', ax=ax0)\n", "Air.plot.scatter('SolarR', 'logOzone', ax=ax1)\n", "Air.plot.scatter('Temp', 'logOzone', ax=ax2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Would it be a good idea to include some squared terms?\n", "\n", "Lets try with **Wind**:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.338\n", "Model: OLS Adj. R-squared: 0.332\n", "No. Observations: 115 F-statistic: 57.65\n", "Covariance Type: nonrobust Prob (F-statistic): 9.73e-12\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 4.7377 0.181 26.227 0.000 4.380 5.096\n", "Wind -0.1307 0.017 -7.593 0.000 -0.165 -0.097\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Linear model with wind (simple linear regression):\n", "\n", "# fit the model\n", "fit_wind = smf.ols(formula = 'logOzone ~ Wind', data=Air).fit()\n", "print(fit_wind.summary(slim=True))\n", "\n", "# Get prediction based on the model:\n", "wind_range = pd.DataFrame({'Wind': np.arange(0,25.5,.5)})\n", "pred = fit_wind.get_prediction(wind_range).summary_frame(alpha=0.05)\n", "\n", "# Plot data with model predictions:\n", "Air.plot.scatter('Wind', 'logOzone')\n", "plt.plot(wind_range, pred[\"mean\"], color=\"red\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Ozone SolarR Wind Temp Month Day logOzone fake residuals \\\n", "0 41.0 190.0 7.4 67 5 1 3.713572 -0.488099 0.570031 \n", "1 36.0 118.0 8.0 72 5 2 3.583519 -2.068576 0.416974 \n", "2 12.0 149.0 12.6 74 5 3 2.484907 0.750776 -0.519755 \n", "3 18.0 313.0 11.5 62 5 4 2.890372 0.126254 -0.016249 \n", "4 NaN NaN 14.3 56 5 5 NaN 0.812259 NaN \n", "\n", " Wind2 \n", "0 54.76 \n", "1 64.00 \n", "2 158.76 \n", "3 132.25 \n", "4 204.49 \n" ] } ], "source": [ "# make column with wind-squared values:\n", "Air[\"Wind2\"] = Air[\"Wind\"]**2\n", "\n", "print(Air.head())" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.388\n", "Model: OLS Adj. R-squared: 0.377\n", "No. Observations: 115 F-statistic: 35.44\n", "Covariance Type: nonrobust Prob (F-statistic): 1.19e-12\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 5.7535 0.379 15.168 0.000 5.002 6.505\n", "Wind -0.3458 0.073 -4.723 0.000 -0.491 -0.201\n", "Wind2 0.0100 0.003 3.016 0.003 0.003 0.017\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "# Model with Wind and Wind2\n", "\n", "# fit the model\n", "fit_wind2 = smf.ols(formula = 'logOzone ~ Wind + Wind2', data=Air).fit()\n", "print(fit_wind2.summary(slim=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks great - wind-squared is also significant. \n", "\n", "Is it a better model than the linear one?" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visual inspection:\n", "\n", "# Get prediction based on the model:\n", "wind_range[\"Wind2\"] = wind_range[\"Wind\"]**2\n", "pred2 = fit_wind2.get_prediction(wind_range).summary_frame(alpha=0.05)\n", "\n", "# Plot data with model predictions:\n", "Air.plot.scatter('Wind', 'logOzone')\n", "plt.plot(wind_range[\"Wind\"], pred2[\"mean\"], color=\"red\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Is it a better model?\n", "\n", "Is it an *\"overfit\"*?" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets have a quick look at the residuals in both linear and quadratic cases:\n", "# residuals:\n", "residuals = fit_wind.resid\n", "fittedvalues = fit_wind.fittedvalues\n", "\n", "residuals2 = fit_wind2.resid\n", "fittedvalues2 = fit_wind2.fittedvalues\n", "\n", "\n", "fig, axs = plt.subplots(2,3,figsize=(14,8))\n", "\n", "# for linear model:\n", "# qq-plot of resiudals:\n", "sm.qqplot(residuals,ax=axs[0,0], line='s')\n", "axs[0,0].set_title(\"QQ plot of residuals - Linear Model\")\n", "\n", "# plot residuals versus fitted values:\n", "axs[0,1].scatter(fittedvalues,residuals)\n", "axs[0,1].set_xlabel(\"fitted values\")\n", "axs[0,1].set_ylabel(\"residuals\")\n", "axs[0,1].set_title(\"Residuals - Linear Model\")\n", "\n", "# plot data with model\n", "Air.plot.scatter('Wind', 'logOzone', ax = axs[0,2])\n", "axs[0,2].plot(wind_range[\"Wind\"], pred[\"mean\"], color=\"red\")\n", "\n", "# for quadratic model:\n", "# qq-plot of resiudals:\n", "sm.qqplot(residuals2,ax=axs[1,0], line='s')\n", "axs[1,0].set_title(\"QQ plot of residuals - Quadratic Model\")\n", "\n", "# plot residuals versus fitted values:\n", "axs[1,1].scatter(fittedvalues2,residuals2)\n", "axs[1,1].set_xlabel(\"fitted values\")\n", "axs[1,1].set_ylabel(\"residuals\")\n", "axs[1,1].set_title(\"Residuals - Quadratic Model\")\n", "\n", "# plot data with model\n", "Air.plot.scatter('Wind', 'logOzone', ax = axs[1,2])\n", "axs[1,2].plot(wind_range[\"Wind\"], pred2[\"mean\"], color=\"red\")\n", "\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Which model is better?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **>>> Kahoot (1 question)**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maybe it would make more sense to include a quadratic term for the SolarR-variable. You van try this yourself (simply change Wind and Wind2 to SolarR and SolarR2 in the code above)!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Colinearity and confounding" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Ozone SolarR Wind Temp Month Day logOzone fake residuals \\\n", "0 41.0 190.0 7.4 67 5 1 3.713572 -0.488099 0.570031 \n", "1 36.0 118.0 8.0 72 5 2 3.583519 -2.068576 0.416974 \n", "2 12.0 149.0 12.6 74 5 3 2.484907 0.750776 -0.519755 \n", "3 18.0 313.0 11.5 62 5 4 2.890372 0.126254 -0.016249 \n", "4 NaN NaN 14.3 56 5 5 NaN 0.812259 NaN \n", "\n", " Wind2 fake_wind \n", "0 54.76 14.176052 \n", "1 64.00 16.072698 \n", "2 158.76 25.780166 \n", "3 132.25 23.214279 \n", "4 204.49 29.030373 \n" ] } ], "source": [ "# lets make a fake variable which is super correlated to Wind:\n", "Air[\"fake_wind\"] = 2*Air[\"Wind\"] + stats.norm.rvs(size=len(Air), loc=0, scale=1)\n", "print(Air.head())" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Air.plot.scatter('fake_wind', 'logOzone')" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Air.plot.scatter('fake_wind', 'Wind')" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: logOzone R-squared: 0.675\n", "Model: OLS Adj. R-squared: 0.662\n", "No. Observations: 110 F-statistic: 54.41\n", "Covariance Type: nonrobust Prob (F-statistic): 9.27e-25\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 0.1955 0.535 0.365 0.716 -0.866 1.257\n", "Temp 0.0451 0.006 7.752 0.000 0.034 0.057\n", "SolarR 0.0022 0.001 4.224 0.000 0.001 0.003\n", "Wind -0.0176 0.093 -0.188 0.851 -0.203 0.167\n", "fake_wind -0.0251 0.045 -0.561 0.576 -0.114 0.064\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "[2] The condition number is large, 2.64e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] } ], "source": [ "# Now we fit a model using both Wind and fake_wind:\n", "fit_full_model = smf.ols(formula = 'logOzone ~ Temp + SolarR + Wind + fake_wind', data=Air).fit()\n", "print(fit_full_model.summary(slim=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both Wind and fake_wind become insignificant. (blackboard) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### **>>> Kahoot (1 question)**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "\n", "\n", "### Ekstra examples" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " idnr Treat Prewt Postwt diff\n", "0 1 Cont 36.56 36.33 -0.23\n", "1 2 Cont 40.50 36.29 -4.21\n", "2 3 Cont 41.59 39.14 -2.45\n", "3 4 Cont 33.52 39.09 5.57\n", "4 5 Cont 35.38 34.47 -0.91\n", ".. ... ... ... ... ...\n", "67 68 FT 35.15 41.09 5.94\n", "68 69 FT 37.83 41.90 4.07\n", "69 70 FT 40.72 42.49 1.77\n", "70 71 FT 38.96 41.54 2.58\n", "71 72 FT 39.55 44.39 4.84\n", "\n", "[72 rows x 5 columns]\n", "72\n" ] } ], "source": [ "treatment_data = pd.read_csv(\"treatment_data.csv\", sep=',') # fir this code to work, you need to save the treatment_data.csv file in the same folder as you keep this notebook\n", "print(treatment_data)\n", "print(len(treatment_data))" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Treat\n", "CBT 29\n", "Cont 26\n", "FT 17\n", "Name: count, dtype: int64\n" ] } ], "source": [ "# How many values in the categorical column (the column with text)?\n", "print(treatment_data[\"Treat\"].value_counts())" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "treatment_data.boxplot(\"diff\", by='Treat', showmeans=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mean values (of each group) are indicated by triangles." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Compare two groups with linear regression:" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "43\n" ] } ], "source": [ "# Make sample data with only two of the treatment groups:\n", "sample_data = treatment_data[treatment_data['Treat'].isin([\"Cont\", \"FT\"])]\n", "print(len(sample_data))" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample_data.boxplot(\"diff\", by='Treat', showmeans=True)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: diff R-squared: 0.202\n", "Model: OLS Adj. R-squared: 0.183\n", "No. Observations: 43 F-statistic: 10.40\n", "Covariance Type: nonrobust Prob (F-statistic): 0.00248\n", "===============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "-------------------------------------------------------------------------------\n", "Intercept -0.2050 0.682 -0.301 0.765 -1.582 1.172\n", "Treat[T.FT] 3.4962 1.084 3.224 0.002 1.306 5.686\n", "===============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "# Make a model with categorical variable:\n", "sample_model = smf.ols(formula = 'diff ~ Treat', data=sample_data).fit()\n", "print(sample_model.summary(slim=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the coefficient for FT treatment is 3.4962, which corresponds to the difference between the two means (see boxplot above).\n", "\n", "Here the \"Cont\" group is chosen as a \"reference group\" and the effect of \"FT\" is shown in the model (Treat[T.FT] = 3.4962). This means that the average \"diff\" (i.e. the average weight-gain) in the FT group is 3.4962 higher than in the Cont group. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Multiple linear regression with categorical AND quantitative variables\n", "\n", "We can also add Prewt in the regression model - maybe the weight-gain (\"diff\") also depends on the weight prior to treatment" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot diff versus Prewt (pre-treatment weight)\n", "# and indicate treatment group by color\n", "colors = {'Cont':'black', 'CBT':'red', 'FT':'blue'}\n", "treatment_data.plot.scatter(\"Prewt\", \"diff\", c=treatment_data[\"Treat\"].map(colors))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It seems that diff (weight-gain) is higher for the persons that had the lowest starting weight (smallest Prewt values).\n", "\n", "The colors indicate the different treatment groups." ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: diff R-squared: 0.268\n", "Model: OLS Adj. R-squared: 0.236\n", "No. Observations: 72 F-statistic: 8.317\n", "Covariance Type: nonrobust Prob (F-statistic): 8.67e-05\n", "=================================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "---------------------------------------------------------------------------------\n", "Intercept 22.5474 6.065 3.718 0.000 10.446 34.649\n", "Treat[T.Cont] -1.8575 0.858 -2.166 0.034 -3.569 -0.146\n", "Treat[T.FT] 2.0665 0.966 2.138 0.036 0.138 3.995\n", "Prewt -0.5655 0.161 -3.510 0.001 -0.887 -0.244\n", "=================================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "# Model with categorical variabel (+ continous variabel):\n", "cat_model = smf.ols(formula = 'diff ~ Prewt + Treat', data=treatment_data).fit()\n", "print(cat_model.summary(slim=True))" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot\n", "x_values = np.arange(32,47,1)\n", "y_values_cont = 22.5474 - 0.5655 * x_values - 1.8575\n", "y_values_cbt = 22.5474 - 0.5655 * x_values + 0\n", "y_values_ft = 22.5474 - 0.5655 * x_values + 2.0665\n", "\n", "colors = {'Cont':'black', 'CBT':'red', 'FT':'blue'}\n", "treatment_data.plot.scatter(\"Prewt\", \"diff\", c=treatment_data[\"Treat\"].map(colors))\n", "plt.plot(x_values, y_values_cont, color=\"black\")\n", "plt.plot(x_values, y_values_cbt, color=\"red\")\n", "plt.plot(x_values, y_values_ft, color=\"blue\")\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a regression model with Prewt and tratment group as explanatory variables. The effect of Prewt is the same in all groups (the slope is the same in all groups), but the groups have different \"levels\". " ] } ], "metadata": { "kernelspec": { "display_name": "pernille", "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 2 }