{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Stationarity and detrending (ADF/KPSS)\n", "\n", "Stationarity means that the statistical properties of a time series i.e. mean, variance and covariance do not change over time. Many statistical models require the series to be stationary to make effective and precise predictions.\n", "\n", "Two statistical tests would be used to check the stationarity of a time series – Augmented Dickey Fuller (“ADF”) test and Kwiatkowski-Phillips-Schmidt-Shin (“KPSS”) test. A method to convert a non-stationary time series into stationary series shall also be used." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This first cell imports standard packages and sets plots to appear inline." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:09.967317Z", "iopub.status.busy": "2021-02-02T06:51:09.966500Z", "iopub.status.idle": "2021-02-02T06:51:11.115579Z", "shell.execute_reply": "2021-02-02T06:51:11.114204Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import statsmodels.api as sm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sunspots dataset is used. It contains yearly (1700-2008) data on sunspots from the National Geophysical Data Center." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.120575Z", "iopub.status.busy": "2021-02-02T06:51:11.119215Z", "iopub.status.idle": "2021-02-02T06:51:11.131194Z", "shell.execute_reply": "2021-02-02T06:51:11.132189Z" } }, "outputs": [], "source": [ "sunspots = sm.datasets.sunspots.load_pandas().data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some preprocessing is carried out on the data. The \"YEAR\" column is used in creating index." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.136607Z", "iopub.status.busy": "2021-02-02T06:51:11.135241Z", "iopub.status.idle": "2021-02-02T06:51:11.147953Z", "shell.execute_reply": "2021-02-02T06:51:11.148833Z" } }, "outputs": [], "source": [ "sunspots.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n", "del sunspots[\"YEAR\"]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data is plotted now." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.152740Z", "iopub.status.busy": "2021-02-02T06:51:11.151492Z", "iopub.status.idle": "2021-02-02T06:51:11.651918Z", "shell.execute_reply": "2021-02-02T06:51:11.651207Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sunspots.plot(figsize=(12,8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ADF test\n", "\n", "ADF test is used to determine the presence of unit root in the series, and hence helps in understand if the series is stationary or not. The null and alternate hypothesis of this test are:\n", "\n", "Null Hypothesis: The series has a unit root.\n", "\n", "Alternate Hypothesis: The series has no unit root.\n", "\n", "If the null hypothesis in failed to be rejected, this test may provide evidence that the series is non-stationary.\n", "\n", "A function is created to carry out the ADF test on a time series." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.659912Z", "iopub.status.busy": "2021-02-02T06:51:11.659122Z", "iopub.status.idle": "2021-02-02T06:51:11.662371Z", "shell.execute_reply": "2021-02-02T06:51:11.662967Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.stattools import adfuller\n", "def adf_test(timeseries):\n", " print ('Results of Dickey-Fuller Test:')\n", " dftest = adfuller(timeseries, autolag='AIC')\n", " dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n", " for key,value in dftest[4].items():\n", " dfoutput['Critical Value (%s)'%key] = value\n", " print (dfoutput)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## KPSS test\n", "\n", "KPSS is another test for checking the stationarity of a time series. The null and alternate hypothesis for the KPSS test are opposite that of the ADF test.\n", "\n", "Null Hypothesis: The process is trend stationary.\n", "\n", "Alternate Hypothesis: The series has a unit root (series is not stationary).\n", "\n", "A function is created to carry out the KPSS test on a time series." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.669568Z", "iopub.status.busy": "2021-02-02T06:51:11.668868Z", "iopub.status.idle": "2021-02-02T06:51:11.672685Z", "shell.execute_reply": "2021-02-02T06:51:11.673231Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.stattools import kpss\n", "def kpss_test(timeseries):\n", " print ('Results of KPSS Test:')\n", " kpsstest = kpss(timeseries, regression='c', nlags=\"auto\")\n", " kpss_output = pd.Series(kpsstest[0:3], index=['Test Statistic','p-value','Lags Used'])\n", " for key,value in kpsstest[3].items():\n", " kpss_output['Critical Value (%s)'%key] = value\n", " print (kpss_output)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ADF tests gives the following results – test statistic, p value and the critical value at 1%, 5% , and 10% confidence intervals.\n", "\n", "ADF test is now applied on the data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.677639Z", "iopub.status.busy": "2021-02-02T06:51:11.676973Z", "iopub.status.idle": "2021-02-02T06:51:11.705047Z", "shell.execute_reply": "2021-02-02T06:51:11.705938Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results of Dickey-Fuller Test:\n", "Test Statistic -2.837781\n", "p-value 0.053076\n", "#Lags Used 8.000000\n", "Number of Observations Used 300.000000\n", "Critical Value (1%) -3.452337\n", "Critical Value (5%) -2.871223\n", "Critical Value (10%) -2.571929\n", "dtype: float64\n" ] } ], "source": [ "adf_test(sunspots['SUNACTIVITY'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based upon the significance level of 0.05 and the p-value of ADF test, the null hypothesis can not be rejected. Hence, the series is non-stationary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The KPSS tests gives the following results – test statistic, p value and the critical value at 1%, 5% , and 10% confidence intervals.\n", "\n", "KPSS test is now applied on the data." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.710499Z", "iopub.status.busy": "2021-02-02T06:51:11.709194Z", "iopub.status.idle": "2021-02-02T06:51:11.721849Z", "shell.execute_reply": "2021-02-02T06:51:11.722577Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results of KPSS Test:\n", "Test Statistic 0.669866\n", "p-value 0.016285\n", "Lags Used 7.000000\n", "Critical Value (10%) 0.347000\n", "Critical Value (5%) 0.463000\n", "Critical Value (2.5%) 0.574000\n", "Critical Value (1%) 0.739000\n", "dtype: float64\n" ] } ], "source": [ "kpss_test(sunspots['SUNACTIVITY'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based upon the significance level of 0.05 and the p-value of KPSS test, there is evidence for rejecting the null hypothesis in favor of the alternative. Hence, the series is non-stationary as per the KPSS test.\n", "\n", "It is always better to apply both the tests, so that it can be ensured that the series is truly stationary. Possible outcomes of applying these stationary tests are as follows:\n", "\n", "Case 1: Both tests conclude that the series is not stationary - The series is not stationary \n", "Case 2: Both tests conclude that the series is stationary - The series is stationary \n", "Case 3: KPSS indicates stationarity and ADF indicates non-stationarity - The series is trend stationary. Trend needs to be removed to make series strict stationary. The detrended series is checked for stationarity. \n", "Case 4: KPSS indicates non-stationarity and ADF indicates stationarity - The series is difference stationary. Differencing is to be used to make series stationary. The differenced series is checked for stationarity. \n", "\n", "Here, due to the difference in the results from ADF test and KPSS test, it can be inferred that the series is trend stationary and not strict stationary. The series can be detrended by differencing or by model fitting." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Detrending by Differencing\n", "\n", "It is one of the simplest methods for detrending a time series. A new series is constructed where the value at the current time step is calculated as the difference between the original observation and the observation at the previous time step.\n", "\n", "Differencing is applied on the data and the result is plotted." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:11.726837Z", "iopub.status.busy": "2021-02-02T06:51:11.725543Z", "iopub.status.idle": "2021-02-02T06:51:12.074363Z", "shell.execute_reply": "2021-02-02T06:51:12.073962Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sunspots['SUNACTIVITY_diff'] = sunspots['SUNACTIVITY'] - sunspots['SUNACTIVITY'].shift(1)\n", "sunspots['SUNACTIVITY_diff'].dropna().plot(figsize=(12,8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ADF test is now applied on these detrended values and stationarity is checked." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:12.078513Z", "iopub.status.busy": "2021-02-02T06:51:12.077792Z", "iopub.status.idle": "2021-02-02T06:51:12.094405Z", "shell.execute_reply": "2021-02-02T06:51:12.094769Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results of Dickey-Fuller Test:\n", "Test Statistic -1.486166e+01\n", "p-value 1.715552e-27\n", "#Lags Used 7.000000e+00\n", "Number of Observations Used 3.000000e+02\n", "Critical Value (1%) -3.452337e+00\n", "Critical Value (5%) -2.871223e+00\n", "Critical Value (10%) -2.571929e+00\n", "dtype: float64\n" ] } ], "source": [ "adf_test(sunspots['SUNACTIVITY_diff'].dropna())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based upon the p-value of ADF test, there is evidence for rejecting the null hypothesis in favor of the alternative. Hence, the series is strict stationary now." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "KPSS test is now applied on these detrended values and stationarity is checked." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2021-02-02T06:51:12.102305Z", "iopub.status.busy": "2021-02-02T06:51:12.097994Z", "iopub.status.idle": "2021-02-02T06:51:12.106088Z", "shell.execute_reply": "2021-02-02T06:51:12.106449Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results of KPSS Test:\n", "Test Statistic 0.021193\n", "p-value 0.100000\n", "Lags Used 0.000000\n", "Critical Value (10%) 0.347000\n", "Critical Value (5%) 0.463000\n", "Critical Value (2.5%) 0.574000\n", "Critical Value (1%) 0.739000\n", "dtype: float64\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/build/statsmodels/statsmodels/statsmodels/tsa/stattools.py:1911: InterpolationWarning: The test statistic is outside of the range of p-values available in the\n", "look-up table. The actual p-value is greater than the p-value returned.\n", "\n", " warn_msg.format(direction=\"greater\"), InterpolationWarning\n" ] } ], "source": [ "kpss_test(sunspots['SUNACTIVITY_diff'].dropna())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based upon the p-value of KPSS test, the null hypothesis can not be rejected. Hence, the series is stationary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "Two tests for checking the stationarity of a time series are used, namely ADF test and KPSS test. Detrending is carried out by using differencing. Trend stationary time series is converted into strict stationary time series. Requisite forecasting model can now be applied on a stationary time series data." ] } ], "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": 2 }