{ "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": "2022-11-02T17:10:20.551105Z", "iopub.status.busy": "2022-11-02T17:10:20.550797Z", "iopub.status.idle": "2022-11-02T17:10:21.229602Z", "shell.execute_reply": "2022-11-02T17:10:21.228894Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-11-02T17:10:21.233556Z", "iopub.status.busy": "2022-11-02T17:10:21.233000Z", "iopub.status.idle": "2022-11-02T17:10:22.416819Z", "shell.execute_reply": "2022-11-02T17:10:22.415972Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:22.420795Z", "iopub.status.busy": "2022-11-02T17:10:22.420401Z", "iopub.status.idle": "2022-11-02T17:10:22.423896Z", "shell.execute_reply": "2022-11-02T17:10:22.423301Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:22.426874Z", "iopub.status.busy": "2022-11-02T17:10:22.426634Z", "iopub.status.idle": "2022-11-02T17:10:22.430205Z", "shell.execute_reply": "2022-11-02T17:10:22.429591Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:22.432923Z", "iopub.status.busy": "2022-11-02T17:10:22.432685Z", "iopub.status.idle": "2022-11-02T17:10:22.447437Z", "shell.execute_reply": "2022-11-02T17:10:22.446847Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "dta = sm.datasets.sunspots.load_pandas().data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-11-02T17:10:22.450700Z", "iopub.status.busy": "2022-11-02T17:10:22.450475Z", "iopub.status.idle": "2022-11-02T17:10:22.462639Z", "shell.execute_reply": "2022-11-02T17:10:22.461973Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:22.465988Z", "iopub.status.busy": "2022-11-02T17:10:22.465732Z", "iopub.status.idle": "2022-11-02T17:10:22.799711Z", "shell.execute_reply": "2022-11-02T17:10:22.798758Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dta.plot(figsize=(12,4));" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-11-02T17:10:22.803507Z", "iopub.status.busy": "2022-11-02T17:10:22.803213Z", "iopub.status.idle": "2022-11-02T17:10:23.455401Z", "shell.execute_reply": "2022-11-02T17:10:23.454595Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/graphics/tsaplots.py:348: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:23.458969Z", "iopub.status.busy": "2022-11-02T17:10:23.458592Z", "iopub.status.idle": "2022-11-02T17:10:23.718974Z", "shell.execute_reply": "2022-11-02T17:10:23.718289Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:23.725291Z", "iopub.status.busy": "2022-11-02T17:10:23.723559Z", "iopub.status.idle": "2022-11-02T17:10:24.153309Z", "shell.execute_reply": "2022-11-02T17:10:24.152594Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:24.160042Z", "iopub.status.busy": "2022-11-02T17:10:24.158260Z", "iopub.status.idle": "2022-11-02T17:10:24.166931Z", "shell.execute_reply": "2022-11-02T17:10:24.166353Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2622.636338141521 2637.5697032491116 2628.606725986767\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": "2022-11-02T17:10:24.172351Z", "iopub.status.busy": "2022-11-02T17:10:24.170753Z", "iopub.status.idle": "2022-11-02T17:10:24.178328Z", "shell.execute_reply": "2022-11-02T17:10:24.177720Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:24.181783Z", "iopub.status.busy": "2022-11-02T17:10:24.181554Z", "iopub.status.idle": "2022-11-02T17:10:24.187184Z", "shell.execute_reply": "2022-11-02T17:10:24.186603Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2619.4036296635304 2638.0703360480193 2626.866614470088\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": "2022-11-02T17:10:24.190530Z", "iopub.status.busy": "2022-11-02T17:10:24.190095Z", "iopub.status.idle": "2022-11-02T17:10:24.196809Z", "shell.execute_reply": "2022-11-02T17:10:24.196220Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "1.9564844805409447" ] }, "execution_count": 14, "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": "2022-11-02T17:10:24.200030Z", "iopub.status.busy": "2022-11-02T17:10:24.199597Z", "iopub.status.idle": "2022-11-02T17:10:24.550851Z", "shell.execute_reply": "2022-11-02T17:10:24.550178Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:24.556442Z", "iopub.status.busy": "2022-11-02T17:10:24.555291Z", "iopub.status.idle": "2022-11-02T17:10:24.567485Z", "shell.execute_reply": "2022-11-02T17:10:24.566870Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "resid = arma_mod30.resid" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-11-02T17:10:24.571164Z", "iopub.status.busy": "2022-11-02T17:10:24.570920Z", "iopub.status.idle": "2022-11-02T17:10:24.586539Z", "shell.execute_reply": "2022-11-02T17:10:24.585961Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "NormaltestResult(statistic=49.847006530010574, pvalue=1.4992016872414017e-11)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.normaltest(resid)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2022-11-02T17:10:24.590908Z", "iopub.status.busy": "2022-11-02T17:10:24.589555Z", "iopub.status.idle": "2022-11-02T17:10:24.863643Z", "shell.execute_reply": "2022-11-02T17:10:24.862867Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:24.868788Z", "iopub.status.busy": "2022-11-02T17:10:24.867625Z", "iopub.status.idle": "2022-11-02T17:10:25.507844Z", "shell.execute_reply": "2022-11-02T17:10:25.506897Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/hostedtoolcache/Python/3.10.8/x64/lib/python3.10/site-packages/statsmodels/graphics/tsaplots.py:348: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:25.511710Z", "iopub.status.busy": "2022-11-02T17:10:25.511315Z", "iopub.status.idle": "2022-11-02T17:10:25.521319Z", "shell.execute_reply": "2022-11-02T17:10:25.520537Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AC Q Prob(>Q)\n", "lag \n", "1 0.009176 0.026273 8.712350e-01\n", "2 0.041820 0.573727 7.506142e-01\n", "3 -0.001342 0.574292 9.022915e-01\n", "4 0.136064 6.407488 1.707135e-01\n", "5 0.092433 9.108334 1.048203e-01\n", "6 0.091919 11.788018 6.686843e-02\n", "7 0.068735 13.291374 6.531942e-02\n", "8 -0.015021 13.363411 9.994250e-02\n", "9 0.187599 24.636915 3.400198e-03\n", "10 0.213724 39.317881 2.233182e-05\n", "11 0.201092 52.358270 2.347759e-07\n", "12 0.117192 56.802110 8.581666e-08\n", "13 -0.014051 56.866210 1.895534e-07\n", "14 0.015394 56.943403 4.001105e-07\n", "15 -0.024986 57.147464 7.747084e-07\n", "16 0.080892 59.293626 6.880520e-07\n", "17 0.041120 59.850085 1.112486e-06\n", "18 -0.052030 60.744064 1.550379e-06\n", "19 0.062500 62.038494 1.833802e-06\n", "20 -0.010292 62.073718 3.385223e-06\n", "21 0.074467 63.924062 3.196544e-06\n", "22 0.124962 69.152771 8.984833e-07\n", "23 0.093170 72.069532 5.802915e-07\n", "24 -0.082149 74.345042 4.715786e-07\n" ] } ], "source": [ "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n", "data = np.c_[r[1:], q, p]\n", "index = pd.Index(range(1,q.shape[0]+1), name=\"lag\")\n", "table = pd.DataFrame(data, columns=[\"AC\", \"Q\", \"Prob(>Q)\"], index=index)\n", "print(table)" ] }, { "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": "2022-11-02T17:10:25.524865Z", "iopub.status.busy": "2022-11-02T17:10:25.524217Z", "iopub.status.idle": "2022-11-02T17:10:25.548620Z", "shell.execute_reply": "2022-11-02T17:10:25.547904Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:25.551968Z", "iopub.status.busy": "2022-11-02T17:10:25.551672Z", "iopub.status.idle": "2022-11-02T17:10:25.950496Z", "shell.execute_reply": "2022-11-02T17:10:25.949710Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "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": "2022-11-02T17:10:25.954015Z", "iopub.status.busy": "2022-11-02T17:10:25.953491Z", "iopub.status.idle": "2022-11-02T17:10:25.958553Z", "shell.execute_reply": "2022-11-02T17:10:25.957859Z" }, "jupyter": { "outputs_hidden": false } }, "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": "2022-11-02T17:10:25.961448Z", "iopub.status.busy": "2022-11-02T17:10:25.961210Z", "iopub.status.idle": "2022-11-02T17:10:25.969103Z", "shell.execute_reply": "2022-11-02T17:10:25.968484Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "5.63554983393475" ] }, "execution_count": 24, "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }