{ "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": "2026-07-27T10:36:08.805489Z", "iopub.status.busy": "2026-07-27T10:36:08.805297Z", "iopub.status.idle": "2026-07-27T10:36:10.472337Z", "shell.execute_reply": "2026-07-27T10:36:10.471917Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\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": "2026-07-27T10:36:10.480346Z", "iopub.status.busy": "2026-07-27T10:36:10.480055Z", "iopub.status.idle": "2026-07-27T10:36:10.487148Z", "shell.execute_reply": "2026-07-27T10:36:10.486406Z" } }, "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": "2026-07-27T10:36:10.491892Z", "iopub.status.busy": "2026-07-27T10:36:10.488861Z", "iopub.status.idle": "2026-07-27T10:36:10.499049Z", "shell.execute_reply": "2026-07-27T10:36:10.498438Z" } }, "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": "2026-07-27T10:36:10.500614Z", "iopub.status.busy": "2026-07-27T10:36:10.500462Z", "iopub.status.idle": "2026-07-27T10:36:10.739064Z", "shell.execute_reply": "2026-07-27T10:36:10.736854Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { 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", 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" ] }, "metadata": {}, "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": "2026-07-27T10:36:10.748145Z", "iopub.status.busy": "2026-07-27T10:36:10.747858Z", "iopub.status.idle": "2026-07-27T10:36:10.754415Z", "shell.execute_reply": "2026-07-27T10:36:10.753660Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.stattools import adfuller\n", "\n", "\n", "def adf_test(timeseries):\n", " print(\"Results of Dickey-Fuller Test:\")\n", " dftest = adfuller(timeseries, autolag=\"AIC\")\n", " dfoutput = pd.Series(\n", " dftest[0:4],\n", " index=[\n", " \"Test Statistic\",\n", " \"p-value\",\n", " \"#Lags Used\",\n", " \"Number of Observations Used\",\n", " ],\n", " )\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": "2026-07-27T10:36:10.760498Z", "iopub.status.busy": "2026-07-27T10:36:10.760233Z", "iopub.status.idle": "2026-07-27T10:36:10.765107Z", "shell.execute_reply": "2026-07-27T10:36:10.764461Z" } }, "outputs": [], "source": [ "from statsmodels.tsa.stattools import kpss\n", "\n", "\n", "def kpss_test(timeseries):\n", " print(\"Results of KPSS Test:\")\n", " kpsstest = kpss(timeseries, regression=\"c\", nlags=\"auto\")\n", " kpss_output = pd.Series(\n", " kpsstest[0:3], index=[\"Test Statistic\", \"p-value\", \"Lags Used\"]\n", " )\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": "2026-07-27T10:36:10.767168Z", "iopub.status.busy": "2026-07-27T10:36:10.766982Z", "iopub.status.idle": "2026-07-27T10:36:10.781868Z", "shell.execute_reply": "2026-07-27T10:36:10.780727Z" } }, "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": "2026-07-27T10:36:10.783585Z", "iopub.status.busy": "2026-07-27T10:36:10.783404Z", "iopub.status.idle": "2026-07-27T10:36:10.790372Z", "shell.execute_reply": "2026-07-27T10:36:10.789305Z" } }, "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": "2026-07-27T10:36:10.792023Z", "iopub.status.busy": "2026-07-27T10:36:10.791843Z", "iopub.status.idle": "2026-07-27T10:36:10.976539Z", "shell.execute_reply": "2026-07-27T10:36:10.975695Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sunspots[\"SUNACTIVITY_diff\"] = sunspots[\"SUNACTIVITY\"] - sunspots[\"SUNACTIVITY\"].shift(\n", " 1\n", ")\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": "2026-07-27T10:36:10.978020Z", "iopub.status.busy": "2026-07-27T10:36:10.977883Z", "iopub.status.idle": "2026-07-27T10:36:10.988009Z", "shell.execute_reply": "2026-07-27T10:36:10.987405Z" } }, "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": "2026-07-27T10:36:10.989744Z", "iopub.status.busy": "2026-07-27T10:36:10.989598Z", "iopub.status.idle": "2026-07-27T10:36:10.994946Z", "shell.execute_reply": "2026-07-27T10:36:10.994253Z" } }, "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": [ "/tmp/ipykernel_3840/1512460390.py:6: 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", " kpsstest = kpss(timeseries, regression=\"c\", nlags=\"auto\")\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 (ipykernel)", "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }