{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Sunspots data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook replicates the existing ARMA notebook using the `statsmodels.tsa.statespace.SARIMAX` class rather than the `statsmodels.tsa.ARMA` class." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:05.610040Z", "iopub.status.busy": "2021-02-02T06:53:05.608812Z", "iopub.status.idle": "2021-02-02T06:53:06.143806Z", "shell.execute_reply": "2021-02-02T06:53:06.145169Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:06.151255Z", "iopub.status.busy": "2021-02-02T06:53:06.149515Z", "iopub.status.idle": "2021-02-02T06:53:07.335271Z", "shell.execute_reply": "2021-02-02T06:53:07.336811Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from scipy import stats\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "import statsmodels.api as sm" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:07.343854Z", "iopub.status.busy": "2021-02-02T06:53:07.341728Z", "iopub.status.idle": "2021-02-02T06:53:07.349952Z", "shell.execute_reply": "2021-02-02T06:53:07.351313Z" } }, "outputs": [], "source": [ "from statsmodels.graphics.api import qqplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sunspots Data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:07.357647Z", "iopub.status.busy": "2021-02-02T06:53:07.355759Z", "iopub.status.idle": "2021-02-02T06:53:07.366415Z", "shell.execute_reply": "2021-02-02T06:53:07.368160Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "::\n", "\n", " Number of Observations - 309 (Annual 1700 - 2008)\n", " Number of Variables - 1\n", " Variable name definitions::\n", "\n", " SUNACTIVITY - Number of sunspots for each year\n", "\n", " The data file contains a 'YEAR' variable that is not returned by load.\n", "\n" ] } ], "source": [ "print(sm.datasets.sunspots.NOTE)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:07.374150Z", "iopub.status.busy": "2021-02-02T06:53:07.373119Z", "iopub.status.idle": "2021-02-02T06:53:07.387636Z", "shell.execute_reply": "2021-02-02T06:53:07.388993Z" } }, "outputs": [], "source": [ "dta = sm.datasets.sunspots.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:07.395033Z", "iopub.status.busy": "2021-02-02T06:53:07.393111Z", "iopub.status.idle": "2021-02-02T06:53:07.409784Z", "shell.execute_reply": "2021-02-02T06:53:07.411127Z" } }, "outputs": [], "source": [ "dta.index = pd.Index(pd.date_range(\"1700\", end=\"2009\", freq=\"A-DEC\"))\n", "del dta[\"YEAR\"]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:07.418013Z", "iopub.status.busy": "2021-02-02T06:53:07.415916Z", "iopub.status.idle": "2021-02-02T06:53:07.978357Z", "shell.execute_reply": "2021-02-02T06:53:07.978749Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dta.plot(figsize=(12,4));" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:08.011987Z", "iopub.status.busy": "2021-02-02T06:53:08.005553Z", "iopub.status.idle": "2021-02-02T06:53:08.565870Z", "shell.execute_reply": "2021-02-02T06:53:08.566280Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:08.576153Z", "iopub.status.busy": "2021-02-02T06:53:08.569307Z", "iopub.status.idle": "2021-02-02T06:53:08.970682Z", "shell.execute_reply": "2021-02-02T06:53:08.971154Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "intercept 14.793947\n", "ar.L1 1.390659\n", "ar.L2 -0.688568\n", "sigma2 274.761105\n", "dtype: float64\n" ] } ], "source": [ "arma_mod20 = sm.tsa.statespace.SARIMAX(dta, order=(2,0,0), trend='c').fit(disp=False)\n", "print(arma_mod20.params)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:08.974852Z", "iopub.status.busy": "2021-02-02T06:53:08.974138Z", "iopub.status.idle": "2021-02-02T06:53:09.371029Z", "shell.execute_reply": "2021-02-02T06:53:09.371449Z" } }, "outputs": [], "source": [ "arma_mod30 = sm.tsa.statespace.SARIMAX(dta, order=(3,0,0), trend='c').fit(disp=False)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.378070Z", "iopub.status.busy": "2021-02-02T06:53:09.377122Z", "iopub.status.idle": "2021-02-02T06:53:09.384450Z", "shell.execute_reply": "2021-02-02T06:53:09.385590Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2622.6363381415968 2637.5697032491876 2628.606725986843\n" ] } ], "source": [ "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.390807Z", "iopub.status.busy": "2021-02-02T06:53:09.389184Z", "iopub.status.idle": "2021-02-02T06:53:09.399200Z", "shell.execute_reply": "2021-02-02T06:53:09.400352Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "intercept 16.762205\n", "ar.L1 1.300810\n", "ar.L2 -0.508122\n", "ar.L3 -0.129612\n", "sigma2 270.102651\n", "dtype: float64\n" ] } ], "source": [ "print(arma_mod30.params)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.404923Z", "iopub.status.busy": "2021-02-02T06:53:09.403686Z", "iopub.status.idle": "2021-02-02T06:53:09.410826Z", "shell.execute_reply": "2021-02-02T06:53:09.411705Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2619.4036296633903 2638.070336047879 2626.8666144699478\n" ] } ], "source": [ "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Does our model obey the theory?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.418793Z", "iopub.status.busy": "2021-02-02T06:53:09.414450Z", "iopub.status.idle": "2021-02-02T06:53:09.425116Z", "shell.execute_reply": "2021-02-02T06:53:09.426368Z" } }, "outputs": [ { "data": { "text/plain": [ "1.9564844832582977" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.stats.durbin_watson(arma_mod30.resid)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.440711Z", "iopub.status.busy": "2021-02-02T06:53:09.430075Z", "iopub.status.idle": "2021-02-02T06:53:09.709429Z", "shell.execute_reply": "2021-02-02T06:53:09.710698Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,4))\n", "ax = fig.add_subplot(111)\n", "ax = plt.plot(arma_mod30.resid)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.716302Z", "iopub.status.busy": "2021-02-02T06:53:09.714572Z", "iopub.status.idle": "2021-02-02T06:53:09.721740Z", "shell.execute_reply": "2021-02-02T06:53:09.722943Z" } }, "outputs": [], "source": [ "resid = arma_mod30.resid" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.728567Z", "iopub.status.busy": "2021-02-02T06:53:09.726809Z", "iopub.status.idle": "2021-02-02T06:53:09.739334Z", "shell.execute_reply": "2021-02-02T06:53:09.740574Z" } }, "outputs": [ { "data": { "text/plain": [ "NormaltestResult(statistic=49.84700616779215, pvalue=1.4992019587606612e-11)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.normaltest(resid)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.746675Z", "iopub.status.busy": "2021-02-02T06:53:09.744813Z", "iopub.status.idle": "2021-02-02T06:53:09.979833Z", "shell.execute_reply": "2021-02-02T06:53:09.981180Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,4))\n", "ax = fig.add_subplot(111)\n", "fig = qqplot(resid, line='q', ax=ax, fit=True)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:09.986921Z", "iopub.status.busy": "2021-02-02T06:53:09.985174Z", "iopub.status.idle": "2021-02-02T06:53:10.505030Z", "shell.execute_reply": "2021-02-02T06:53:10.506282Z" } }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(resid, lags=40, ax=ax1)\n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:10.512077Z", "iopub.status.busy": "2021-02-02T06:53:10.510364Z", "iopub.status.idle": "2021-02-02T06:53:10.540469Z", "shell.execute_reply": "2021-02-02T06:53:10.541768Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1.0 0.009176 0.026273 8.712350e-01\n", "2.0 0.041820 0.573727 7.506142e-01\n", "3.0 -0.001342 0.574292 9.022915e-01\n", "4.0 0.136064 6.407488 1.707135e-01\n", "5.0 0.092433 9.108334 1.048203e-01\n", "6.0 0.091919 11.788018 6.686842e-02\n", "7.0 0.068735 13.291375 6.531941e-02\n", "8.0 -0.015021 13.363411 9.994248e-02\n", "9.0 0.187599 24.636916 3.400197e-03\n", "10.0 0.213724 39.317881 2.233182e-05\n", "11.0 0.201092 52.358270 2.347759e-07\n", "12.0 0.117192 56.802110 8.581666e-08\n", "13.0 -0.014051 56.866210 1.895534e-07\n", "14.0 0.015394 56.943403 4.001105e-07\n", "15.0 -0.024986 57.147464 7.747084e-07\n", "16.0 0.080892 59.293627 6.880520e-07\n", "17.0 0.041120 59.850085 1.112486e-06\n", "18.0 -0.052030 60.744064 1.550379e-06\n", "19.0 0.062500 62.038495 1.833802e-06\n", "20.0 -0.010292 62.073718 3.385223e-06\n", "21.0 0.074467 63.924063 3.196544e-06\n", "22.0 0.124962 69.152771 8.984833e-07\n", "23.0 0.093170 72.069532 5.802915e-07\n", "24.0 -0.082149 74.345042 4.715786e-07\n", "25.0 0.015689 74.428332 8.294018e-07\n", "26.0 -0.025049 74.641400 1.367992e-06\n", "27.0 -0.125875 80.040874 3.722921e-07\n", "28.0 0.053215 81.009318 4.717356e-07\n", "29.0 -0.038699 81.523324 6.917766e-07\n", "30.0 -0.016896 81.621648 1.151883e-06\n", "31.0 -0.019286 81.750227 1.869202e-06\n", "32.0 0.105001 85.575148 8.927709e-07\n", "33.0 0.040094 86.134872 1.247384e-06\n", "34.0 0.008834 86.162142 2.047606e-06\n", "35.0 0.014588 86.236784 3.263459e-06\n", "36.0 -0.119334 91.249667 1.084187e-06\n", "37.0 -0.036673 91.724838 1.521456e-06\n", "38.0 -0.046204 92.481862 1.937920e-06\n", "39.0 -0.017775 92.594310 2.989369e-06\n", "40.0 -0.006219 92.608126 4.694971e-06\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/stattools.py:662: FutureWarning: The default number of lags is changing from 40 tomin(int(10 * np.log10(nobs)), nobs - 1) after 0.12is released. Set the number of lags to an integer to silence this warning.\n", " FutureWarning,\n" ] } ], "source": [ "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n", "data = np.c_[range(1,41), r[1:], q, p]\n", "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n", "print(table.set_index('lag'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* This indicates a lack of fit." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* In-sample dynamic prediction. How good does our model do?" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:10.547935Z", "iopub.status.busy": "2021-02-02T06:53:10.546142Z", "iopub.status.idle": "2021-02-02T06:53:10.577992Z", "shell.execute_reply": "2021-02-02T06:53:10.579364Z" } }, "outputs": [], "source": [ "predict_sunspots = arma_mod30.predict(start='1990', end='2012', dynamic=True)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:10.585058Z", "iopub.status.busy": "2021-02-02T06:53:10.583306Z", "iopub.status.idle": "2021-02-02T06:53:10.939018Z", "shell.execute_reply": "2021-02-02T06:53:10.940340Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 8))\n", "dta.loc['1950':].plot(ax=ax)\n", "predict_sunspots.plot(ax=ax, style='r');" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:10.946221Z", "iopub.status.busy": "2021-02-02T06:53:10.944455Z", "iopub.status.idle": "2021-02-02T06:53:10.951848Z", "shell.execute_reply": "2021-02-02T06:53:10.953261Z" } }, "outputs": [], "source": [ "def mean_forecast_err(y, yhat):\n", " return y.sub(yhat).mean()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:10.959499Z", "iopub.status.busy": "2021-02-02T06:53:10.957574Z", "iopub.status.idle": "2021-02-02T06:53:10.971570Z", "shell.execute_reply": "2021-02-02T06:53:10.972990Z" } }, "outputs": [ { "data": { "text/plain": [ "5.635549951517733" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": 0 }