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Statsmodels - ARIMA with exogenous regressors
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"from importlib import reload\n",
"import numpy as np\n",
"import pandas as pd\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt\n",
"\n",
"np.set_printoptions(suppress=True, linewidth=120)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>NHS</th>\n",
" <th>CONS1</th>\n",
" <th>CONS1.L1</th>\n",
" <th>CONS1.L2</th>\n",
" <th>CONS1.L3</th>\n",
" <th>CONS1.L4</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1990-05</th>\n",
" <td>534.0</td>\n",
" <td>136.0</td>\n",
" <td>140.0</td>\n",
" <td>136.0</td>\n",
" <td>128.0</td>\n",
" <td>135.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990-06</th>\n",
" <td>545.0</td>\n",
" <td>134.0</td>\n",
" <td>136.0</td>\n",
" <td>140.0</td>\n",
" <td>136.0</td>\n",
" <td>128.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990-07</th>\n",
" <td>542.0</td>\n",
" <td>136.0</td>\n",
" <td>134.0</td>\n",
" <td>136.0</td>\n",
" <td>140.0</td>\n",
" <td>136.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990-08</th>\n",
" <td>528.0</td>\n",
" <td>122.0</td>\n",
" <td>136.0</td>\n",
" <td>134.0</td>\n",
" <td>136.0</td>\n",
" <td>140.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1990-09</th>\n",
" <td>496.0</td>\n",
" <td>120.0</td>\n",
" <td>122.0</td>\n",
" <td>136.0</td>\n",
" <td>134.0</td>\n",
" <td>136.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" NHS CONS1 CONS1.L1 CONS1.L2 CONS1.L3 CONS1.L4\n",
"Date \n",
"1990-05 534.0 136.0 140.0 136.0 128.0 135.0\n",
"1990-06 545.0 134.0 136.0 140.0 136.0 128.0\n",
"1990-07 542.0 136.0 134.0 136.0 140.0 136.0\n",
"1990-08 528.0 122.0 136.0 134.0 136.0 140.0\n",
"1990-09 496.0 120.0 122.0 136.0 134.0 136.0"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dta = pd.read_csv('test_data.csv')\n",
"dta.index = pd.PeriodIndex(dta['Date'], freq='M')\n",
"dta.drop('Date', axis=1, inplace=True)\n",
"dta.columns = map(lambda x: x.strip(), dta.columns)\n",
"\n",
"for i in range(1, 5):\n",
" dta['CONS1.L%d' % i] = dta['CONS1'].shift(i)\n",
"\n",
"dta.dropna(inplace=True)\n",
"\n",
"dta.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Split into estimation / forecast periods"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"sample_end = pd.Period('2015-12', freq='M')\n",
"forecast_start = sample_end + 1\n",
"forecast_end = '2018-01'\n",
"\n",
"# endog = np.log(dta.loc[:sample_end, 'NHS']).diff().iloc[1:]\n",
"tmp = dta.loc[:sample_end, 'NHS']\n",
"endog = ((tmp - tmp.shift(1)) / tmp.shift(1)).iloc[1:]\n",
"exog_full = sm.add_constant(dta.loc[:, 'CONS1':'CONS1.L4'])\n",
"exog_full['intervention'] = np.zeros(len(exog_full))\n",
"exog_full.loc['2005-08':'2009', 'intervention'] = 1\n",
"exog = exog_full.loc[endog.index]\n",
"exog_fcast = exog_full.loc[forecast_start:forecast_end]\n",
"\n",
"# Matplotlib doesn't do so well with PeriodIndex,\n",
"# so convert indexes to DatetimeIndex\n",
"endog.index = endog.index.to_timestamp(freq='M')\n",
"exog.index = exog.index.to_timestamp(freq='M')\n",
"exog_fcast.index = exog_fcast.index.to_timestamp(freq='M')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ARIMA"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"mod1 = sm.tsa.ARIMA(endog, exog=exog, order=(4, 0, 2))\n",
"res1 = mod1.fit(trend='nc')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" ARMA Model Results \n",
"==============================================================================\n",
"Dep. Variable: NHS No. Observations: 307\n",
"Model: ARMA(4, 2) Log Likelihood 434.140\n",
"Method: css-mle S.D. of innovations 0.059\n",
"Date: Tue, 28 Aug 2018 AIC -840.280\n",
"Time: 13:10:08 BIC -788.104\n",
"Sample: 06-30-1990 HQIC -819.415\n",
" - 12-31-2015 \n",
"================================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"--------------------------------------------------------------------------------\n",
"const -0.0234 0.024 -0.962 0.337 -0.071 0.024\n",
"CONS1 0.0023 0.001 4.387 0.000 0.001 0.003\n",
"CONS1.L1 -0.0006 0.001 -0.854 0.394 -0.002 0.001\n",
"CONS1.L2 -0.0021 0.001 -2.765 0.006 -0.004 -0.001\n",
"CONS1.L3 0.0007 0.001 0.896 0.371 -0.001 0.002\n",
"CONS1.L4 4.743e-05 0.001 0.091 0.928 -0.001 0.001\n",
"intervention -0.0265 0.005 -4.819 0.000 -0.037 -0.016\n",
"ar.L1.NHS -0.3283 0.732 -0.449 0.654 -1.762 1.106\n",
"ar.L2.NHS 0.0649 0.690 0.094 0.925 -1.287 1.416\n",
"ar.L3.NHS 0.0288 0.208 0.138 0.890 -0.380 0.437\n",
"ar.L4.NHS -0.1231 0.256 -0.481 0.631 -0.624 0.378\n",
"ma.L1.NHS -0.0743 0.749 -0.099 0.921 -1.543 1.394\n",
"ma.L2.NHS -0.3559 0.987 -0.360 0.719 -2.291 1.579\n",
" Roots \n",
"=============================================================================\n",
" Real Imaginary Modulus Frequency\n",
"-----------------------------------------------------------------------------\n",
"AR.1 -1.2058 -0.8998j 1.5045 -0.3980\n",
"AR.2 -1.2058 +0.8998j 1.5045 0.3980\n",
"AR.3 1.3226 -1.3562j 1.8944 -0.1270\n",
"AR.4 1.3226 +1.3562j 1.8944 0.1270\n",
"MA.1 1.5752 +0.0000j 1.5752 0.0000\n",
"MA.2 -1.7840 +0.0000j 1.7840 0.5000\n",
"-----------------------------------------------------------------------------\n"
]
}
],
"source": [
"print(res1.summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SARIMAX"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/fulton/projects/statsmodels/statsmodels/base/model.py:508: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
" \"Check mle_retvals\", ConvergenceWarning)\n"
]
}
],
"source": [
"mod2 = sm.tsa.SARIMAX(endog, exog=exog, order=(4, 0, 2), concentrate_scale=True)\n",
"res2 = mod2.fit(maxiter=1000)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Statespace Model Results \n",
"==============================================================================\n",
"Dep. Variable: NHS No. Observations: 307\n",
"Model: SARIMAX(4, 0, 2) Log Likelihood 433.693\n",
"Date: Tue, 28 Aug 2018 AIC -839.386\n",
"Time: 13:10:19 BIC -787.210\n",
"Sample: 06-30-1990 HQIC -818.522\n",
" - 12-31-2015 Scale 0.003\n",
"Covariance Type: opg \n",
"================================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"--------------------------------------------------------------------------------\n",
"const -0.0057 0.025 -0.229 0.819 -0.054 0.043\n",
"CONS1 0.0021 0.001 3.963 0.000 0.001 0.003\n",
"CONS1.L1 -0.0008 0.001 -1.098 0.272 -0.002 0.001\n",
"CONS1.L2 -0.0018 0.001 -2.485 0.013 -0.003 -0.000\n",
"CONS1.L3 0.0008 0.001 1.037 0.300 -0.001 0.002\n",
"CONS1.L4 -0.0002 0.001 -0.344 0.731 -0.001 0.001\n",
"intervention -0.0300 0.005 -5.552 0.000 -0.041 -0.019\n",
"ar.L1 -0.3280 0.267 -1.227 0.220 -0.852 0.196\n",
"ar.L2 0.0654 0.225 0.290 0.772 -0.376 0.507\n",
"ar.L3 0.0289 0.117 0.248 0.804 -0.200 0.258\n",
"ar.L4 -0.1229 0.096 -1.283 0.200 -0.311 0.065\n",
"ma.L1 -0.0742 0.265 -0.280 0.779 -0.593 0.445\n",
"ma.L2 -0.3554 0.251 -1.416 0.157 -0.847 0.136\n",
"===================================================================================\n",
"Ljung-Box (Q): 32.92 Jarque-Bera (JB): 35.87\n",
"Prob(Q): 0.78 Prob(JB): 0.00\n",
"Heteroskedasticity (H): 1.26 Skew: -0.32\n",
"Prob(H) (two-sided): 0.24 Kurtosis: 4.55\n",
"===================================================================================\n",
"\n",
"Warnings:\n",
"[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
]
}
],
"source": [
"print(res2.summary())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compare ARIMA and SARIMAX"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fitted values"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 936x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fitted1 = res1.predict()\n",
"fitted2 = res2.predict()\n",
"\n",
"fig, ax = plt.subplots(figsize=(13, 5))\n",
"\n",
"fitted1.plot(ax=ax, label='ARIMA')\n",
"fitted2.plot(ax=ax, label='SARIMAX')\n",
"\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Out-of-sample forecasts"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(13, 5))\n",
"\n",
"fcast1 = pd.Series(res1.forecast(len(exog_fcast), exog=exog_fcast)[0], index=exog_fcast.index)\n",
"fcast2 = res2.forecast(len(exog_fcast), exog=exog_fcast)\n",
"\n",
"fcast1.plot(ax=ax, label='ARIMA')\n",
"fcast2.plot(ax=ax, label='SARIMAX')\n",
"\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Convert back to levels"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fitted values"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp = dta.loc[:sample_end, 'NHS'].shift(1).iloc[1:]\n",
"tmp.index = tmp.index.to_timestamp(freq='M')\n",
"\n",
"fittedlevels1 = tmp * (fitted1 + 1)\n",
"fittedlevels2 = tmp * (fitted2 + 1)\n",
"\n",
"fig, ax = plt.subplots(figsize=(13, 8))\n",
"\n",
"dta.loc[:sample_end, 'NHS'].plot(ax=ax, label='Data')\n",
"fittedlevels1.plot(ax=ax, label='ARIMA')\n",
"fittedlevels2.plot(ax=ax, label='SARIMAX')\n",
"\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Out-of-sample forecasts"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 936x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fcastlevels1 = pd.Series(\n",
" np.r_[dta.loc[sample_end, 'NHS'], (fcast1 + 1)].cumprod()[1:],\n",
" index=exog_fcast.index)\n",
"fcastlevels2 = pd.Series(\n",
" np.r_[dta.loc[sample_end, 'NHS'], (fcast2 + 1)].cumprod()[1:],\n",
" index=exog_fcast.index)\n",
"\n",
"fig, ax = plt.subplots(figsize=(13, 8))\n",
"\n",
"dta.loc[:sample_end, 'NHS'].plot(ax=ax, label='Data')\n",
"fcastlevels1.plot(ax=ax, label='ARIMA')\n",
"fcastlevels2.plot(ax=ax, label='SARIMAX')\n",
"\n",
"ax.legend();"
]
}
],
"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",
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@JasperLS
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Is it possible to model an intervention effect with SARIMAX in Py?

@ChadFulton
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It is, but there's no special syntax, you just include it in the exog array. In this Gist, the intervention variable was constructed like:

exog_full['intervention'] = np.zeros(len(exog_full))
exog_full.loc['2005-08':'2009', 'intervention'] = 1

@ChadFulton
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Unless you had something else in mind?

@JasperLS
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Thanks Chad- this is super helpful. I had to some extent - this will model it as a permanent elevation change in the final Sarim model, right? Is there a possibility to force Sarima to estimate parameters for a different intervention effect (e.g. a pulse)?

@ChadFulton
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The SARIMAX model is of the form "regression with SARIMA errors", so the intervention will be to the mean of the process. You're right, the one constructed here is a permanent increase in the mean.

I'm not quite sure what your second question is regarding. You can certainly include a pulse intervention variable in exog also, and running fit will estimate a coefficient

@JasperLS
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Hi Chad, so sorry for reaching out again. I have also asked on StackOverflow: https://stackoverflow.com/questions/64013032/sarimax-pulse-intervention-effect-in-python. I feel like I am stupid or hitting a wall..

Let's say I have data for 5 time stamps, and at time step 3 there is an intervention.
If I want to model the intervention as a permanent shift of the mean, exog would be [0,0,1,0,0].

But if I want to model the intervention as a pulsed effect, that is declining again, would I need to change exog to something like [0,0,1,-1,0] ?

@ChadFulton
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It looks like you want to model a pulse to the intercept, which would imply a change to the mean that slowly dies out according to the dynamics from the lag polynomial. If so, this isn't immediately available with the SARIMAX class, because as I said above, it models exog as affecting the mean of the process.

You could create the intervention manually to be a pulse that dies out slowly, but the problem is that they you would have to specify that process, rather than letting it follow from the model dynamics.

Possibly a better way is to create a subclass that models exog as affecting the intercept rather than the mean (if this is in fact what you're looking for). In practice, this just means putting the beta * exog term into the state_intercept rather than the obs_intercept component of the state space system. However, this may be more work than you are wanting to do.

@JasperLS
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Okay, thanks a lot! I'll see what makes sense. Moving the beta*exog sounds possible at first glance.

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