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_build/jupyter_execute/04_GrangerCausality/04_GrangerCausality_67_0.png create mode 100644 _build/jupyter_execute/04_GrangerCausality/04_GrangerCausality_71_0.png create mode 100644 _build/jupyter_execute/04_GrangerCausality/04_GrangerCausality_77_0.png create mode 100644 _build/jupyter_execute/04_GrangerCausality/04_GrangerCausality_83_1.png create mode 100644 _build/jupyter_execute/04_GrangerCausality/04_GrangerCausality_92_0.png create mode 100644 _build/jupyter_execute/04_GrangerCausality/04_GrangerCausality_98_0.png create mode 100644 _build/jupyter_execute/04_GrangerCausality/04_GrangerCausality_9_0.png diff --git a/04_GrangerCausality/04_GrangerCausality.ipynb b/04_GrangerCausality/04_GrangerCausality.ipynb index 288e9f2..8f95754 100644 --- a/04_GrangerCausality/04_GrangerCausality.ipynb +++ b/04_GrangerCausality/04_GrangerCausality.ipynb @@ -6,20 +6,14 @@ "source": [ "# Chapter 4: Granger Causality Test\n", "\n", - "In the first three chapters, we discussed the classical methods for both univariate and multivariate time series forecasting. We now introduce the notion of causality and its implications on time series analysis in general. We also describe a test for the linear VAR model discussed in the previous chapter.\n", - "\n", - "Prepared by: Carlo Vincienzo G. Dajac" + "In the first three chapters, we discussed the classical methods for both univariate and multivariate time series forecasting. We now introduce the notion of causality and its implications on time series analysis in general. We also describe a test for the linear VAR model discussed in the previous chapter." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Chapter Outline**\n", - "* Notations\n", - "* Definitions\n", - "* Assunmptions\n", - "* Testing for Granger Causality" + "Prepared by: Carlo Vincienzo G. Dajac" ] }, { @@ -32,7 +26,7 @@ "\n", "Denote the optimum, unbiased, least-squares predictor of $A_t$ using the set of values $B_t$ by $P_t (A|B)$. Thus, for instance, $P_t (X|\\overline X)$ will be the optimum predictor of $X_t$ using only past $X_t$. The predictive error series will be denoted by $\\varepsilon_t(A|B) = A_t - P_t(A|B)$. Let $\\sigma^2 (A|B)$ be the variance of $\\varepsilon_t(A|B)$.\n", "\n", - "Let $U_t$ be all the information in the universe accumulated since time $t-1$ and let $U_t - Y_t$ denote all this information *apart* from the specified series $Y_t$." + "Let $U_t$ be all the information in the universe accumulated since time $t-1$ and let $U_t - Y_t$ denote all this information *apart* from the specified series $Y_t$, which is another stationary time series that is different from $X_t$." ] }, { @@ -41,10 +35,9 @@ "source": [ "## Definitions\n", "\n", - "\n", "### Causality\n", "\n", - "If $\\sigma^2 (X|U) < \\sigma^2 (X| \\overline{U-Y})$, we say that $Y$ is causing $X$, denoted by $Y_t \\implies X_t$. We say that $Y_t$ is causing $X_t$ if we are able to predict $X_t$ using all available information than if the information apart from $Y_t$ had been used.\n", + "If $\\sigma^2 (X|U) < \\sigma^2 (X| \\overline{U-Y})$, we say that $Y$ is causing $X$, denoted by $Y_t \\implies X_t$. We say that $Y_t$ is causing $X_t$ if we are **able to predict** $X_t$ using all available information than if the information apart from $Y_t$ had been used.\n", "\n", "### Feedback\n", "If $\\sigma^2 (X|\\overline U) < \\sigma^2 (X| \\overline{U-Y})$ and $\\sigma^2 (Y|\\overline U) < \\sigma^2 (Y| \\overline{U-X})$, we say that feedback is occurring, which is denoted by $Y_t \\iff X_t$, i.e., feedback is said to occur when $X_t$ is causing $Y_t$ and also $Y_t$ is causing $X_t$.\n", @@ -62,56 +55,48 @@ "source": [ "## Assumptions\n", "\n", - "* Series is stationary.\n", - "* Linear model is already optimized." + "* $X_t$ and $Y_t$ are stationary.\n", + "* $P_t (A|B)$ is already optimized." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Testing for Granger Causality" + "## Testing for Granger Causality\n", + "\n", + "We will be first building VAR models for our examples in this section. In addition to the steps outlined in the previous chapter, we will just call built-in Granger causality test function and configure it accordingly." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from pandas.plotting import lag_plot\n", + "from statsmodels.tsa.vector_ar.var_model import VAR\n", + "from statsmodels.tsa.stattools import adfuller, kpss, grangercausalitytests\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example 1: Ipo Dam Dataset\n", + "\n", + "We will use the Ipo dataset in this example. It contains daily measurements of the following variables: rainfall (in millimeters), Oceanic Niño Index (ONI), NIA release flow (in cubic meters per second), and dam water level (in meters), respectively." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/prince.javier/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n", - " import pandas.util.testing as tm\n" - ] - } - ], - "source": [ - "import pandas as pd\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from scipy import stats\n", - "from pandas.plotting import lag_plot\n", - "from statsmodels.tsa.api import VAR\n", - "from statsmodels.tsa.stattools import adfuller\n", - "from statsmodels.tsa.stattools import kpss\n", - "from statsmodels.tsa.stattools import grangercausalitytests\n", - "from statsmodels.tools.eval_measures import rmse, aic\n", - "from statsmodels.stats.stattools import durbin_watson" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We will use the Ipo dataset in this notebook." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, "outputs": [ { "data": { @@ -150,125 +135,105 @@ " \n", " \n", " 0\n", - " 0.00\n", + " 0.0\n", " -0.7\n", " 38.225693\n", " 100.70\n", " \n", " \n", " 1\n", - " 0.00\n", + " 0.0\n", " -0.7\n", " 57.996530\n", " 100.63\n", " \n", " \n", " 2\n", - " 0.00\n", + " 0.0\n", " -0.7\n", " 49.119213\n", " 100.56\n", " \n", " \n", " 3\n", - " 0.00\n", + " 0.0\n", " -0.7\n", " 47.034720\n", " 100.55\n", " \n", " \n", " 4\n", - " 0.00\n", + " 0.0\n", " -0.7\n", " 42.223380\n", " 100.48\n", " \n", - " \n", - " ...\n", - " ...\n", - " ...\n", - " ...\n", - " ...\n", - " \n", - " \n", - " 7111\n", - " 1.80\n", - " -0.2\n", - " 5.040000\n", - " 100.86\n", - " \n", - " \n", - " 7112\n", - " 1.60\n", - " -0.2\n", - " 4.500000\n", - " 101.01\n", - " \n", - " \n", - " 7113\n", - " 21.60\n", - " -0.2\n", - " 6.730000\n", - " 101.08\n", - " \n", - " \n", - " 7114\n", - " 0.20\n", - " -0.2\n", - " 6.720000\n", - " 100.92\n", - " \n", - " \n", - " 7115\n", - " 46.82\n", - " -0.2\n", - " 1.950000\n", - " 100.97\n", - " \n", " \n", "\n", - "

7116 rows × 4 columns

\n", "" ], "text/plain": [ - " Rain ONI NIA Dam\n", - "Time \n", - "0 0.00 -0.7 38.225693 100.70\n", - "1 0.00 -0.7 57.996530 100.63\n", - "2 0.00 -0.7 49.119213 100.56\n", - "3 0.00 -0.7 47.034720 100.55\n", - "4 0.00 -0.7 42.223380 100.48\n", - "... ... ... ... ...\n", - "7111 1.80 -0.2 5.040000 100.86\n", - "7112 1.60 -0.2 4.500000 101.01\n", - "7113 21.60 -0.2 6.730000 101.08\n", - "7114 0.20 -0.2 6.720000 100.92\n", - "7115 46.82 -0.2 1.950000 100.97\n", - "\n", - "[7116 rows x 4 columns]" + " Rain ONI NIA Dam\n", + "Time \n", + "0 0.0 -0.7 38.225693 100.70\n", + "1 0.0 -0.7 57.996530 100.63\n", + "2 0.0 -0.7 49.119213 100.56\n", + "3 0.0 -0.7 47.034720 100.55\n", + "4 0.0 -0.7 42.223380 100.48" ] }, - "execution_count": 3, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "data = pd.read_csv('../data/Ipo_dataset.csv', index_col='Time');\n", - "data = data.dropna()\n", - "data" + "ipo_df = pd.read_csv('../data/Ipo_dataset.csv', index_col='Time');\n", + "ipo_df = ipo_df.dropna()\n", + "ipo_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(4, figsize=(15,8), sharex=True)\n", + "plot_cols = ['Rain', 'ONI', 'NIA', 'Dam']\n", + "ipo_df[plot_cols].plot(subplots=True, legend=False, ax=ax)\n", + "for a in range(len(ax)): \n", + " ax[a].set_ylabel(plot_cols[a])\n", + "ax[-1].set_xlabel('')\n", + "plt.tight_layout()\n", + "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "As an example, we will only use the NIA and Dam time series." + "#### Causality between Rainfall and Ipo Dam Water Level\n", + "\n", + "For this example, we will focus on the Rain and Dam time series." ] }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 4, "metadata": { "scrolled": true }, @@ -306,107 +271,91 @@ " \n", " \n", " 0\n", - " 0.00\n", + " 0.0\n", " 100.70\n", " \n", " \n", " 1\n", - " 0.00\n", + " 0.0\n", " 100.63\n", " \n", " \n", " 2\n", - " 0.00\n", + " 0.0\n", " 100.56\n", " \n", " \n", " 3\n", - " 0.00\n", + " 0.0\n", " 100.55\n", " \n", " \n", " 4\n", - " 0.00\n", + " 0.0\n", " 100.48\n", " \n", - " \n", - " ...\n", - " ...\n", - " ...\n", - " \n", - " \n", - " 7111\n", - " 1.80\n", - " 100.86\n", - " \n", - " \n", - " 7112\n", - " 1.60\n", - " 101.01\n", - " \n", - " \n", - " 7113\n", - " 21.60\n", - " 101.08\n", - " \n", - " \n", - " 7114\n", - " 0.20\n", - " 100.92\n", - " \n", - " \n", - " 7115\n", - " 46.82\n", - " 100.97\n", - " \n", " \n", "\n", - "

7116 rows × 2 columns

\n", "" ], "text/plain": [ - " Rain Dam\n", - "Time \n", - "0 0.00 100.70\n", - "1 0.00 100.63\n", - "2 0.00 100.56\n", - "3 0.00 100.55\n", - "4 0.00 100.48\n", - "... ... ...\n", - "7111 1.80 100.86\n", - "7112 1.60 101.01\n", - "7113 21.60 101.08\n", - "7114 0.20 100.92\n", - "7115 46.82 100.97\n", - "\n", - "[7116 rows x 2 columns]" + " Rain Dam\n", + "Time \n", + "0 0.0 100.70\n", + "1 0.0 100.63\n", + "2 0.0 100.56\n", + "3 0.0 100.55\n", + "4 0.0 100.48" ] }, - "execution_count": 75, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "data = data.drop(['NIA', 'ONI'], axis=1)\n", - "data" + "data_df = ipo_df.drop(['ONI', 'NIA'], axis=1)\n", + "data_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Step 1**: Test each time series for stationarity. Ideally, this should involve using a test (such as the ADF test) where the null hypothesis is non-stationarity, as well as a test (such as the KPSS test) where the null is stationarity. This is a good cross-check." + "We look at the lag plots to quickly check for stationarity." ] }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def lag_plots(data_df):\n", + " f, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 5))\n", + "\n", + " lag_plot(data_df[data_df.columns[0]], ax=ax1)\n", + " ax1.set_title(data_df.columns[0]);\n", + "\n", + " lag_plot(data_df[data_df.columns[1]], ax=ax2)\n", + " ax2.set_title(data_df.columns[1]);\n", + "\n", + " ax1.set_ylabel('$y_{t+1}$');\n", + " ax1.set_xlabel('$y_t$');\n", + " ax2.set_ylabel('$y_{t+1}$');\n", + " ax2.set_xlabel('$y_t$');\n", + "\n", + " plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -418,184 +367,287 @@ } ], "source": [ - "f2, (ax4, ax5) = plt.subplots(1, 2, figsize=(15, 5))\n", - "f2.tight_layout()\n", - "\n", - "lag_plot(data['Rain'], ax=ax4)\n", - "ax4.set_title('Rainfall');\n", - "\n", - "# lag_plot(data['NIA'], ax=ax4)\n", - "# ax4.set_title('NIA Releases');\n", - "\n", - "lag_plot(data['Dam'], ax=ax5)\n", - "ax5.set_title('Dam Water Level');\n", - "\n", - "plt.show()" + "lag_plots(data_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Result**: Both data are not stationary. We can make them stationary through differencing." - ] - }, - { - "cell_type": "code", - "execution_count": 77, - "metadata": {}, - "outputs": [], - "source": [ - "# differencing for stationarity check\n", - "rawData = data.copy(deep=True)\n", - "\n", - "# data['Rain'] = data['Rain'] - data['Rain'].shift(1)\n", - "# data['NIA'] = data['NIA'] - data['NIA'].shift(1)\n", - "data['Dam'] = data['Dam'] - data['Dam'].shift(1)\n", - "data = data.dropna()" - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "metadata": {}, - "outputs": [], - "source": [ - "# split data into train and test sets for VAR later on\n", - "end = round(len(data)*.8)\n", - "train = data[:end]\n", - "test = data[end:]" - ] - }, - { - "cell_type": "code", - "execution_count": 79, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "ADF Statistic: -21.591918\n", - "p-value: 0.000000\n", - "Critical Values:\n", - "\t1%: -3.431\n", - "\t5%: -2.862\n", - "\t10%: -2.567\n", - "ADF Statistic: -8.622738\n", - "p-value: 0.000000\n", - "Critical Values:\n", - "\t1%: -3.431\n", - "\t5%: -2.862\n", - "\t10%: -2.567\n" - ] - } - ], - "source": [ - "# ADF Null Hypothesis: there is a unit root, meaning series is non-stationary\n", - "\n", - "X1 = np.array(data['Dam'])\n", - "X1 = X1[~np.isnan(X1)]\n", - "\n", - "result = adfuller(X1)\n", - "print('ADF Statistic: %f' % result[0])\n", - "print('p-value: %f' % result[1])\n", - "print('Critical Values:')\n", - "for key, value in result[4].items():\n", - " print('\\t%s: %.3f' % (key, value))\n", - " \n", - " \n", - "X2 = np.array(data['Rain'])\n", - "# X2 = np.array(data['NIA'])\n", - "X2 = X2[~np.isnan(X2)]\n", - "\n", - "result = adfuller(X2)\n", - "print('ADF Statistic: %f' % result[0])\n", - "print('p-value: %f' % result[1])\n", - "print('Critical Values:')\n", - "for key, value in result[4].items():\n", - " print('\\t%s: %.3f' % (key, value))" - ] - }, - { - "cell_type": "code", - "execution_count": 80, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "KPSS Statistic: 0.009242367643647218\n", - "p-value: 0.1\n", - "num lags: 35\n", - "Critial Values:\n", - " 10% : 0.347\n", - " 5% : 0.463\n", - " 2.5% : 0.574\n", - " 1% : 0.739\n", - "Result: The series is stationary\n", - "KPSS Statistic: 0.09395749653745288\n", - "p-value: 0.1\n", - "num lags: 35\n", - "Critial Values:\n", - " 10% : 0.347\n", - " 5% : 0.463\n", - " 2.5% : 0.574\n", - " 1% : 0.739\n", - "Result: The series is stationary\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/stattools.py:1850: FutureWarning: The behavior of using nlags=None will change in release 0.13.Currently nlags=None is the same as nlags=\"legacy\", and so a sample-size lag length is used. After the next release, the default will change to be the same as nlags=\"auto\" which uses an automatic lag length selection method. To silence this warning, either use \"auto\" or \"legacy\"\n", - " warnings.warn(msg, FutureWarning)\n", - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/stattools.py:1885: 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", - " warnings.warn(\n", - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/stattools.py:1885: 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", - " warnings.warn(\n" - ] - } - ], - "source": [ - "# KPSS Null Hypothesis: there is no unit root, meaning series is stationary\n", - "\n", - "def kpss_test(series, **kw): \n", - " statistic, p_value, n_lags, critical_values = kpss(series, **kw)\n", - " # Format Output\n", - " print(f'KPSS Statistic: {statistic}')\n", - " print(f'p-value: {p_value}')\n", - " print(f'num lags: {n_lags}')\n", - " print('Critial Values:')\n", - " for key, value in critical_values.items():\n", - " print(f' {key} : {value}')\n", - " print(f'Result: The series is {\"not \" if p_value < 0.05 else \"\"}stationary')\n", - "\n", - "kpss_test(X1)\n", - "kpss_test(X2)" + "**Result:** Dam does not look stationary. Rainfall lag plot is inconclusive." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Results**: ADF Null Hypothesis is rejected. Thus, data is stationary. KPSS Null Hypothesis could not be rejected. Thus, data is stationary." + "We use KPSS and ADF tests discussed in the previous chapter to conclusively check for stationarity." ] }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def kpss_test(data_df):\n", + " test_stat, p_val = [], []\n", + " cv_1pct, cv_2p5pct, cv_5pct, cv_10pct = [], [], [], []\n", + " for c in data_df.columns: \n", + " kpss_res = kpss(data_df[c].dropna(), regression='ct')\n", + " test_stat.append(kpss_res[0])\n", + " p_val.append(kpss_res[1])\n", + " cv_1pct.append(kpss_res[3]['1%'])\n", + " cv_2p5pct.append(kpss_res[3]['2.5%'])\n", + " cv_5pct.append(kpss_res[3]['5%'])\n", + " cv_10pct.append(kpss_res[3]['10%'])\n", + " kpss_res_df = pd.DataFrame({'Test statistic': test_stat, \n", + " 'p-value': p_val, \n", + " 'Critical value - 1%': cv_1pct,\n", + " 'Critical value - 2.5%': cv_2p5pct,\n", + " 'Critical value - 5%': cv_5pct,\n", + " 'Critical value - 10%': cv_10pct}, \n", + " index=data_df.columns).T\n", + " kpss_res_df = kpss_res_df.round(4)\n", + " return kpss_res_df" + ] + }, + { + "cell_type": "code", + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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RainDam
Test statistic0.0181.8045
p-value0.1000.0100
Critical value - 1%0.2160.2160
Critical value - 2.5%0.1760.1760
Critical value - 5%0.1460.1460
Critical value - 10%0.1190.1190
\n", + "
" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic 0.018 1.8045\n", + "p-value 0.100 0.0100\n", + "Critical value - 1% 0.216 0.2160\n", + "Critical value - 2.5% 0.176 0.1760\n", + "Critical value - 5% 0.146 0.1460\n", + "Critical value - 10% 0.119 0.1190" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kpss_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** Rain is stationary, while Dam is not." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def adf_test(data_df):\n", + " test_stat, p_val = [], []\n", + " cv_1pct, cv_5pct, cv_10pct = [], [], []\n", + " for c in data_df.columns: \n", + " adf_res = adfuller(data_df[c].dropna())\n", + " test_stat.append(adf_res[0])\n", + " p_val.append(adf_res[1])\n", + " cv_1pct.append(adf_res[4]['1%'])\n", + " cv_5pct.append(adf_res[4]['5%'])\n", + " cv_10pct.append(adf_res[4]['10%'])\n", + " adf_res_df = pd.DataFrame({'Test statistic': test_stat, \n", + " 'p-value': p_val, \n", + " 'Critical value - 1%': cv_1pct,\n", + " 'Critical value - 5%': cv_5pct,\n", + " 'Critical value - 10%': cv_10pct}, \n", + " index=data_df.columns).T\n", + " adf_res_df = adf_res_df.round(4)\n", + " return adf_res_df" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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RainDam
Test statistic-8.6223-5.8742
p-value0.00000.0000
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
\n", + "
" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic -8.6223 -5.8742\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** Both data are stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since both the lag plot and KPSS test indicate that Dam is not stationary, we apply differencing first before building our VAR model." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "data_df['Dam'] = data_df['Dam'] - data_df['Dam'].shift(1)\n", + "data_df = data_df.dropna()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We again look at the lag plots and apply the KPSS and ADF tests." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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" ] @@ -607,149 +659,315 @@ } ], "source": [ - "f2, (ax4, ax5) = plt.subplots(1, 2, figsize=(15, 5))\n", - "f2.tight_layout()\n", - "\n", - "lag_plot(data['Rain'], ax=ax4)\n", - "ax4.set_title('Rainfall');\n", - "\n", - "# lag_plot(data['NIA'], ax=ax4)\n", - "# ax4.set_title('NIA Releases');\n", - "\n", - "lag_plot(data['Dam'], ax=ax5)\n", - "ax5.set_title('Dam Water Level');\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Result**: Lag plots confirm results of ADF test and KPSS test." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Step 2**: Set up a VAR model for the data (without differencing)." + "lag_plots(data_df)" ] }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 13, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/base/tsa_model.py:578: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.\n", - " warnings.warn('An unsupported index was provided and will be'\n" - ] + "data": { + "text/html": [ + "
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RainDam
Test statistic0.01790.0047
p-value0.10000.1000
Critical value - 1%0.21600.2160
Critical value - 2.5%0.17600.1760
Critical value - 5%0.14600.1460
Critical value - 10%0.11900.1190
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" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic 0.0179 0.0047\n", + "p-value 0.1000 0.1000\n", + "Critical value - 1% 0.2160 0.2160\n", + "Critical value - 2.5% 0.1760 0.1760\n", + "Critical value - 5% 0.1460 0.1460\n", + "Critical value - 10% 0.1190 0.1190" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "model = VAR(train)\n", - "model_fitted = model.fit(2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Step 4**: Make sure that the VAR is well-specified. For example, ensure that there is no serial correlation in the residuals. If need be, increase p until any autocorrelation issues are resolved." + "kpss_test(data_df)" ] }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 14, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Rain : 2.01\n", - "Dam : 2.07\n" - ] + "data": { + "text/html": [ + "
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RainDam
Test statistic-8.6227-21.5919
p-value0.00000.0000
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
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" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic -8.6227 -21.5919\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "#Check for Serial Correlation of Residuals (Errors) using Durbin Watson Statistic\n", - "#The value of this statistic can vary between 0 and 4. \n", - "#The closer it is to the value 2, then there is no significant serial correlation. \n", - "#The closer to 0, there is a positive serial correlation, \n", - "#and the closer it is to 4 implies negative serial correlation.\n", - "\n", - "out = durbin_watson(model_fitted.resid)\n", - "\n", - "for col, val in zip(data.columns, out):\n", - " print(col, ':', round(val, 2))" + "adf_test(data_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Result**: There is no significant correlation between in the residuals." + "**Result:** All three conclusively agree that both data are now stationary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Step 5**: Now take the preferred VAR model and add in m additional lags of each of the variables into each of the equations." + "We next split the data into train and test sets for the VAR model." ] }, { "cell_type": "code", - "execution_count": 85, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/base/tsa_model.py:578: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.\n", - " warnings.warn('An unsupported index was provided and will be'\n" - ] - } - ], - "source": [ - "model = VAR(train)\n", - "model_fitted = model.fit(2)\n", - "#get the lag order\n", - "lag_order = model_fitted.k_ar\n", - "print(lag_order)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Step 6**: Test for Granger non-causality." - ] - }, - { - "cell_type": "code", - "execution_count": 86, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ - "maxlag = lag_order\n", - "test = 'ssr_chi2test'\n", - "def grangers_causation_matrix(data, variables, test='ssr_chi2test', verbose=False): \n", + "def splitter(data_df):\n", + " end = round(len(data_df)*.8)\n", + " train_df = data_df[:end]\n", + " test_df = data_df[end:]\n", + " return train_df, test_df" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "train_df, test_df = splitter(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We then select the VAR order $p$ by computing the different multivariate information criteria (AIC, BIC, HQIC), and FPE." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "def select_p(train_df):\n", + " aic, bic, fpe, hqic = [], [], [], []\n", + " model = VAR(train_df) \n", + " p = np.arange(1,60)\n", + " for i in p:\n", + " result = model.fit(i)\n", + " aic.append(result.aic)\n", + " bic.append(result.bic)\n", + " fpe.append(result.fpe)\n", + " hqic.append(result.hqic)\n", + " lags_metrics_df = pd.DataFrame({'AIC': aic, \n", + " 'BIC': bic, \n", + " 'HQIC': hqic,\n", + " 'FPE': fpe}, \n", + " index=p) \n", + " fig, ax = plt.subplots(1, 4, figsize=(15, 3), sharex=True)\n", + " lags_metrics_df.plot(subplots=True, ax=ax, marker='o')\n", + " plt.tight_layout()\n", + " print(lags_metrics_df.idxmin(axis=0))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AIC 21\n", + "BIC 8\n", + "HQIC 11\n", + "FPE 21\n", + "dtype: int64\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "select_p(train_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** We see that BIC has the lowest value at $p=8$ while HQIC at $p=11$. Although both AIC and FPE have the lowest value at $p=21$, their plots also show an elbow. We can thus select the number of lags to be 8 (also for computational efficiency). " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now fit the VAR model with the chosen order." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "p = 8\n", + "model = VAR(train_df)\n", + "var_model = model.fit(p)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can finally test the variables for Granger Causality" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "def granger_causation_matrix(data, variables, p, test = 'ssr_chi2test', verbose=False): \n", " \"\"\"Check Granger Causality of all possible combinations of the time series.\n", - " The rows are the response variable, columns are predictors. The values in the table \n", + " The rows are the response variables, columns are predictors. The values in the table \n", " are the P-Values. P-Values lesser than the significance level (0.05), implies \n", " the Null Hypothesis that the coefficients of the corresponding past values is \n", " zero, that is, the X does not cause Y can be rejected.\n", @@ -760,21 +978,19 @@ " df = pd.DataFrame(np.zeros((len(variables), len(variables))), columns=variables, index=variables)\n", " for c in df.columns:\n", " for r in df.index:\n", - " test_result = grangercausalitytests(data[[r, c]], maxlag=maxlag, verbose=False)\n", - " p_values = [round(test_result[i+1][0][test][1],4) for i in range(maxlag)]\n", + " test_result = grangercausalitytests(data[[r, c]], p, verbose=False)\n", + " p_values = [round(test_result[i+1][0][test][1],4) for i in range(p)]\n", " if verbose: print(f'Y = {r}, X = {c}, P Values = {p_values}')\n", " min_p_value = np.min(p_values)\n", " df.loc[r, c] = min_p_value\n", " df.columns = [var + '_x' for var in variables]\n", " df.index = [var + '_y' for var in variables]\n", - " return df\n", - "\n", - "o = grangers_causation_matrix(train, variables = train.columns) " + " return df" ] }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -806,7 +1022,7 @@ " \n", " Rain_y\n", " 1.0\n", - " 0.2932\n", + " 0.2169\n", " \n", " \n", " Dam_y\n", @@ -819,53 +1035,2041 @@ ], "text/plain": [ " Rain_x Dam_x\n", - "Rain_y 1.0 0.2932\n", + "Rain_y 1.0 0.2169\n", "Dam_y 0.0 1.0000" ] }, - "execution_count": 87, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "o" + "granger_causation_matrix(train_df, train_df.columns, p) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Result**: If a given p-value is < significance level (0.05), then, the corresponding X series (column) causes the Y (row)." + "**Recall:** If a given p-value is < significance level (0.05), then, the corresponding X series (column) causes the Y (row)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "For this particular example, we can say that NIA releases causes changes in the dam water level. On the other hand, dam water level also causes changes in the NIA releases. This is an example of the feedback mentioned above." + "**Results:** For this particular example, we can say that rainfall Granger causes changes in the dam water level. This means that rainfall data improves changes in dam water level prediction performance.\n", + "\n", + "On the other hand, changes in dam water level does not Granger cause rainfall. This means that changes in dam water level data does not improve rainfall prediction performance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We do the similar steps for the La Mesa dataset." + "#### Causality between NIA Release Flow and Ipo Dam Water Level\n", + "\n", + "In this next example, we now focus on the NIA and Dam time series." ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 22, "metadata": {}, "outputs": [ { - "name": "stderr", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " NIA Dam\n", + "Time \n", + "0 38.225693 100.70\n", + "1 57.996530 100.63\n", + "2 49.119213 100.56\n", + "3 47.034720 100.55\n", + "4 42.223380 100.48" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_df = ipo_df.drop(['ONI', 'Rain'], axis=1)\n", + "data_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We first check for stationarity by looking at the lag plots and applying the KPSS and ADF tests." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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NIADam
Test statistic0.1841.8045
p-value0.0220.0100
Critical value - 1%0.2160.2160
Critical value - 2.5%0.1760.1760
Critical value - 5%0.1460.1460
Critical value - 10%0.1190.1190
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" + ], + "text/plain": [ + " NIA Dam\n", + "Test statistic 0.184 1.8045\n", + "p-value 0.022 0.0100\n", + "Critical value - 1% 0.216 0.2160\n", + "Critical value - 2.5% 0.176 0.1760\n", + "Critical value - 5% 0.146 0.1460\n", + "Critical value - 10% 0.119 0.1190" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kpss_test(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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NIADam
Test statistic-6.6030-5.8742
p-value0.00000.0000
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
\n", + "
" + ], + "text/plain": [ + " NIA Dam\n", + "Test statistic -6.6030 -5.8742\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** All three conclusively show that both data are not stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We apply differencing and recheck for stationarity." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "data_df['NIA'] = data_df['NIA'] - data_df['NIA'].shift(1)\n", + "data_df['Dam'] = data_df['Dam'] - data_df['Dam'].shift(1)\n", + "data_df = data_df.dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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NIADam
Test statistic0.00480.0047
p-value0.10000.1000
Critical value - 1%0.21600.2160
Critical value - 2.5%0.17600.1760
Critical value - 5%0.14600.1460
Critical value - 10%0.11900.1190
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NIADam
Test statistic-21.2837-21.5919
p-value0.00000.0000
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
\n", + "
" + ], + "text/plain": [ + " NIA Dam\n", + "Test statistic -21.2837 -21.5919\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** All three conclusively agree that both data are now stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We next split the data and select the lag order $p$." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "train_df, test_df = splitter(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", "output_type": "stream", "text": [ - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/base/tsa_model.py:578: ValueWarning: An unsupported index was provided and will be ignored when e.g. forecasting.\n", - " warnings.warn('An unsupported index was provided and will be'\n" + "AIC 27\n", + "BIC 8\n", + "HQIC 13\n", + "FPE 27\n", + "dtype: int64\n" ] }, + { + "data": { + "image/png": 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NIA_xDam_x
NIA_y1.00000.0007
Dam_y0.02161.0000
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" + ], + "text/plain": [ + " NIA_x Dam_x\n", + "NIA_y 1.0000 0.0007\n", + "Dam_y 0.0216 1.0000" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "granger_causation_matrix(train_df, train_df.columns, p) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Recall:** If a given p-value is < significance level (0.05), then, the corresponding X series (column) causes the Y (row)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** For this particular example, we can say that changes in NIA release flow Granger causes changes in the dam water level. Conversely, changes in dam water level also Granger causes changes in the NIA release flow. This is an example of the feedback mentioned in an earlier section above. This means that NIA release flow data improves changes in dam water level prediction performance, and dam water level data also improves changes in NIA release flow prediction performance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example 2: Causality for La Mesa Dam\n", + "\n", + "We now do the same steps for the La Mesa dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Time
00.0-0.738.22569378.63
10.0-0.757.99653078.63
20.0-0.749.11921378.61
30.0-0.747.03472078.59
40.0-0.742.22338078.56
\n", + "
" + ], + "text/plain": [ + " Rain ONI NIA Dam\n", + "Time \n", + "0 0.0 -0.7 38.225693 78.63\n", + "1 0.0 -0.7 57.996530 78.63\n", + "2 0.0 -0.7 49.119213 78.61\n", + "3 0.0 -0.7 47.034720 78.59\n", + "4 0.0 -0.7 42.223380 78.56" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lamesa_df = pd.read_csv('../data/La Mesa_dataset.csv', index_col='Time');\n", + "lamesa_df = lamesa_df.dropna()\n", + "lamesa_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(4, figsize=(15,8), sharex=True)\n", + "plot_cols = ['Rain', 'ONI', 'NIA', 'Dam']\n", + "lamesa_df[plot_cols].plot(subplots=True, legend=False, ax=ax)\n", + "for a in range(len(ax)): \n", + " ax[a].set_ylabel(plot_cols[a])\n", + "ax[-1].set_xlabel('')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Causality between Rainfall and La Mesa Dam Water Level\n", + "\n", + "In this next example, we first consider the Rain and Dam time series." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Rain Dam\n", + "Time \n", + "0 0.0 78.63\n", + "1 0.0 78.63\n", + "2 0.0 78.61\n", + "3 0.0 78.59\n", + "4 0.0 78.56" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_df = lamesa_df.drop(['ONI', 'NIA'], axis=1)\n", + "data_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We first check for stationarity by looking at the lag plots and applying the KPSS and ADF tests." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lag_plots(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
RainDam
Test statistic0.03271.8845
p-value0.10000.0100
Critical value - 1%0.21600.2160
Critical value - 2.5%0.17600.1760
Critical value - 5%0.14600.1460
Critical value - 10%0.11900.1190
\n", + "
" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic 0.0327 1.8845\n", + "p-value 0.1000 0.0100\n", + "Critical value - 1% 0.2160 0.2160\n", + "Critical value - 2.5% 0.1760 0.1760\n", + "Critical value - 5% 0.1460 0.1460\n", + "Critical value - 10% 0.1190 0.1190" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kpss_test(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
RainDam
Test statistic-8.7136-4.2004
p-value0.00000.0007
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
\n", + "
" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic -8.7136 -4.2004\n", + "p-value 0.0000 0.0007\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** All three conclusively show that again Rain is stationary, while Dam is not." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We apply differencing and recheck for stationarity." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "data_df['Dam'] = data_df['Dam'] - data_df['Dam'].shift(1)\n", + "data_df = data_df.dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "lag_plots(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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RainDam
Test statistic0.03270.0226
p-value0.10000.1000
Critical value - 1%0.21600.2160
Critical value - 2.5%0.17600.1760
Critical value - 5%0.14600.1460
Critical value - 10%0.11900.1190
\n", + "
" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic 0.0327 0.0226\n", + "p-value 0.1000 0.1000\n", + "Critical value - 1% 0.2160 0.2160\n", + "Critical value - 2.5% 0.1760 0.1760\n", + "Critical value - 5% 0.1460 0.1460\n", + "Critical value - 10% 0.1190 0.1190" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kpss_test(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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RainDam
Test statistic-8.7138-26.5948
p-value0.00000.0000
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
\n", + "
" + ], + "text/plain": [ + " Rain Dam\n", + "Test statistic -8.7138 -26.5948\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** All three conclusively agree that both data are now stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We next split the data and select the lag order $p$." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "train_df, test_df = splitter(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AIC 7\n", + "BIC 6\n", + "HQIC 7\n", + "FPE 7\n", + "dtype: int64\n" + ] + }, + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " Rain_x Dam_x\n", + "Rain_y 1.0 0.0005\n", + "Dam_y 0.0 1.0000" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "granger_causation_matrix(train_df, train_df.columns, p) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Recall:** If a given p-value is < significance level (0.05), then, the corresponding X series (column) causes the Y (row)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** For this particular example, we can say that rainfall Granger causes changes in the dam water level. Conversely, changes in dam water level also Granger causes rainfall. This is another example of feedback. This means that rainfall data improves changes in dam water level prediction performance, and dam water level data also improves rainfall prediction performance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Causality between NIA Release Flow and La Mesa Dam Water Level\n", + "\n", + "In this next example, we now focus on the NIA and Dam time series." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " NIA Dam\n", + "Time \n", + "0 38.225693 78.63\n", + "1 57.996530 78.63\n", + "2 49.119213 78.61\n", + "3 47.034720 78.59\n", + "4 42.223380 78.56" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data_df = lamesa_df.drop(['ONI', 'Rain'], axis=1)\n", + "data_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We first check for stationarity by looking at the lag plots and applying the KPSS and ADF tests." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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NIADam
Test statistic0.1841.8845
p-value0.0220.0100
Critical value - 1%0.2160.2160
Critical value - 2.5%0.1760.1760
Critical value - 5%0.1460.1460
Critical value - 10%0.1190.1190
\n", + "
" + ], + "text/plain": [ + " NIA Dam\n", + "Test statistic 0.184 1.8845\n", + "p-value 0.022 0.0100\n", + "Critical value - 1% 0.216 0.2160\n", + "Critical value - 2.5% 0.176 0.1760\n", + "Critical value - 5% 0.146 0.1460\n", + "Critical value - 10% 0.119 0.1190" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kpss_test(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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NIADam
Test statistic-6.6030-4.2004
p-value0.00000.0007
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
\n", + "
" + ], + "text/plain": [ + " NIA Dam\n", + "Test statistic -6.6030 -4.2004\n", + "p-value 0.0000 0.0007\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** All three conclusively show that both data are not stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We apply differencing and recheck for stationarity." + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "data_df['NIA'] = data_df['NIA'] - data_df['NIA'].shift(1)\n", + "data_df['Dam'] = data_df['Dam'] - data_df['Dam'].shift(1)\n", + "data_df = data_df.dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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NIADam
Test statistic0.00480.0226
p-value0.10000.1000
Critical value - 1%0.21600.2160
Critical value - 2.5%0.17600.1760
Critical value - 5%0.14600.1460
Critical value - 10%0.11900.1190
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" + ], + "text/plain": [ + " NIA Dam\n", + "Test statistic 0.0048 0.0226\n", + "p-value 0.1000 0.1000\n", + "Critical value - 1% 0.2160 0.2160\n", + "Critical value - 2.5% 0.1760 0.1760\n", + "Critical value - 5% 0.1460 0.1460\n", + "Critical value - 10% 0.1190 0.1190" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kpss_test(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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NIADam
Test statistic-21.2837-26.5948
p-value0.00000.0000
Critical value - 1%-3.4313-3.4313
Critical value - 5%-2.8619-2.8619
Critical value - 10%-2.5670-2.5670
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" + ], + "text/plain": [ + " NIA Dam\n", + "Test statistic -21.2837 -26.5948\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4313 -3.4313\n", + "Critical value - 5% -2.8619 -2.8619\n", + "Critical value - 10% -2.5670 -2.5670" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** All three conclusively agree that both data are now stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We next split the data and select the lag order $p$." + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "train_df, test_df = splitter(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AIC 14\n", + "BIC 2\n", + "HQIC 8\n", + "FPE 14\n", + "dtype: int64\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "select_p(train_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We select $p=14$. We finally fit our VAR model and test for Granger Causality." + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "p = 14\n", + "model = VAR(train_df)\n", + "var_model = model.fit(p)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ { "data": { "text/html": [ @@ -912,72 +3116,60 @@ "Dam_y 0.636 1.0000" ] }, - "execution_count": 15, + "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "data = pd.read_csv('../data/La Mesa_dataset.csv', index_col='Time');\n", - "data = data.dropna()\n", - "data = data.drop(['Rain', 'ONI'], axis=1)\n", - "# data['Rain'] = data['Rain'] - data['Rain'].shift(1)\n", - "data['NIA'] = data['NIA'] - data['NIA'].shift(1)\n", - "data['Dam'] = data['Dam'] - data['Dam'].shift(1)\n", - "data = data.dropna()\n", - "\n", - "train = data[:end]\n", - "test = data[end:]\n", - "\n", - "model = VAR(train)\n", - "model_fitted = model.fit(2)\n", - "lag_order = model_fitted.k_ar\n", - "\n", - "maxlag = lag_order\n", - "test = 'ssr_chi2test'\n", - "\n", - "o1 = grangers_causation_matrix(train, variables = train.columns)\n", - "o1" + "granger_causation_matrix(train_df, train_df.columns, p) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We see that, unlike for Ipo, NIA releases and dam water level are NOT causal to one another." + "**Recall:** If a given p-value is < significance level (0.05), then, the corresponding X series (column) causes the Y (row)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Exercises" + "**Result:** We see that, unlike for Ipo Dam, changes in NIA release flow and changes in the dam water level do NOT Granger cause one another for La Mesa Dam. This means that NIA release flow data does NOT improve changes in dam water level prediction performance, and dam water level data also does NOT improve changes in NIA release flow prediction performance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "As exercises, the reader can check for causality between other pairs of variables from both the Ipo and La Mesa datasets, as well as from the Angat dataset." + "### Exercises" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Jena Weather Data" + "As exercises, the reader can test for Granger Causality between other pairs of variables from both the Ipo and La Mesa datasets, as well as from the Angat dataset." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We look back at the Jena Weather Data and explore which variables are causal to one another." + "### Example 3: Jena Climate Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We look back at the Jena climate dataset and explore which variables are Granger causal to another." ] }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 64, "metadata": {}, "outputs": [ { @@ -1053,38 +3245,72 @@ " 152.3\n", " \n", " \n", - " 2009-01-01 00:20:00\n", - " 996.57\n", - " -8.41\n", - " 265.01\n", - " -9.28\n", - " 93.4\n", - " 3.23\n", - " 3.02\n", - " 0.21\n", - " 1.89\n", - " 3.03\n", - " 1309.80\n", - " 0.72\n", - " 1.50\n", - " 136.1\n", + " 2009-01-01 01:10:00\n", + " 996.50\n", + " -7.62\n", + " 265.81\n", + " -8.30\n", + " 94.8\n", + " 3.44\n", + " 3.26\n", + " 0.18\n", + " 2.04\n", + " 3.27\n", + " 1305.68\n", + " 0.18\n", + " 0.63\n", + " 166.5\n", " \n", " \n", - " 2009-01-01 00:30:00\n", - " 996.53\n", - " -8.51\n", - " 264.91\n", - " -9.31\n", - " 93.9\n", - " 3.21\n", - " 3.01\n", + " 2009-01-01 02:10:00\n", + " 996.63\n", + " -8.85\n", + " 264.57\n", + " -9.70\n", + " 93.5\n", + " 3.12\n", + " 2.92\n", " 0.20\n", - " 1.88\n", - " 3.02\n", - " 1310.24\n", - " 0.19\n", - " 0.63\n", - " 171.6\n", + " 1.82\n", + " 2.93\n", + " 1312.11\n", + " 0.16\n", + " 0.50\n", + " 158.3\n", + " \n", + " \n", + " 2009-01-01 03:10:00\n", + " 996.87\n", + " -8.84\n", + " 264.56\n", + " -9.69\n", + " 93.5\n", + " 3.13\n", + " 2.92\n", + " 0.20\n", + " 1.83\n", + " 2.93\n", + " 1312.37\n", + " 0.07\n", + " 0.25\n", + " 129.3\n", + " \n", + " \n", + " 2009-01-01 04:10:00\n", + " 997.05\n", + " -9.23\n", + " 264.15\n", + " -10.25\n", + " 92.2\n", + " 3.03\n", + " 2.79\n", + " 0.24\n", + " 1.74\n", + " 2.80\n", + " 1314.62\n", + " 0.10\n", + " 0.38\n", + " 203.9\n", " \n", " \n", "\n", @@ -1094,53 +3320,67 @@ " p (mbar) T (degC) Tpot (K) Tdew (degC) rh (%) \\\n", "Date Time \n", "2009-01-01 00:10:00 996.52 -8.02 265.40 -8.90 93.3 \n", - "2009-01-01 00:20:00 996.57 -8.41 265.01 -9.28 93.4 \n", - "2009-01-01 00:30:00 996.53 -8.51 264.91 -9.31 93.9 \n", + "2009-01-01 01:10:00 996.50 -7.62 265.81 -8.30 94.8 \n", + "2009-01-01 02:10:00 996.63 -8.85 264.57 -9.70 93.5 \n", + "2009-01-01 03:10:00 996.87 -8.84 264.56 -9.69 93.5 \n", + "2009-01-01 04:10:00 997.05 -9.23 264.15 -10.25 92.2 \n", "\n", " VPmax (mbar) VPact (mbar) VPdef (mbar) sh (g/kg) \\\n", "Date Time \n", "2009-01-01 00:10:00 3.33 3.11 0.22 1.94 \n", - "2009-01-01 00:20:00 3.23 3.02 0.21 1.89 \n", - "2009-01-01 00:30:00 3.21 3.01 0.20 1.88 \n", + "2009-01-01 01:10:00 3.44 3.26 0.18 2.04 \n", + "2009-01-01 02:10:00 3.12 2.92 0.20 1.82 \n", + "2009-01-01 03:10:00 3.13 2.92 0.20 1.83 \n", + "2009-01-01 04:10:00 3.03 2.79 0.24 1.74 \n", "\n", " H2OC (mmol/mol) rho (g/m**3) wv (m/s) max. wv (m/s) \\\n", "Date Time \n", "2009-01-01 00:10:00 3.12 1307.75 1.03 1.75 \n", - "2009-01-01 00:20:00 3.03 1309.80 0.72 1.50 \n", - "2009-01-01 00:30:00 3.02 1310.24 0.19 0.63 \n", + "2009-01-01 01:10:00 3.27 1305.68 0.18 0.63 \n", + "2009-01-01 02:10:00 2.93 1312.11 0.16 0.50 \n", + "2009-01-01 03:10:00 2.93 1312.37 0.07 0.25 \n", + "2009-01-01 04:10:00 2.80 1314.62 0.10 0.38 \n", "\n", " wd (deg) \n", "Date Time \n", "2009-01-01 00:10:00 152.3 \n", - "2009-01-01 00:20:00 136.1 \n", - "2009-01-01 00:30:00 171.6 " + "2009-01-01 01:10:00 166.5 \n", + "2009-01-01 02:10:00 158.3 \n", + "2009-01-01 03:10:00 129.3 \n", + "2009-01-01 04:10:00 203.9 " ] }, - "execution_count": 95, + "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "jena_data = pd.read_csv('../data/jena_climate_2009_2016.csv')\n", - "jena_data['Date Time'] = pd.to_datetime(jena_data['Date Time'])\n", - "jena_data = jena_data.set_index('Date Time')\n", - "jena_data.head(3)" + "train_df = pd.read_csv('../data/train_series_datetime.csv',index_col=0).set_index('Date Time')\n", + "val_df = pd.read_csv('../data/val_series_datetime.csv',index_col=0).set_index('Date Time')\n", + "test_df = pd.read_csv('../data/test_series_datetime.csv',index_col=0).set_index('Date Time')\n", + "train_df.index = pd.to_datetime(train_df.index)\n", + "val_df.index = pd.to_datetime(val_df.index)\n", + "test_df.index = pd.to_datetime(test_df.index)\n", + "\n", + "train_val_df = pd.concat([train_df, val_df])\n", + "jena_df = pd.concat([train_df, val_df, test_df])\n", + "jena_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Consider last 10,000 data points for p and T." + "#### Causality between Pressure and Temperature\n", + "\n", + "In this next example, we first consider the p and T time series." ] }, { "cell_type": "code", - "execution_count": 96, - "metadata": { - "scrolled": true - }, + "execution_count": 66, + "metadata": {}, "outputs": [ { "data": { @@ -1179,14 +3419,24 @@ " -8.02\n", " \n", " \n", - " 2009-01-01 00:20:00\n", - " 996.57\n", - " -8.41\n", + " 2009-01-01 01:10:00\n", + " 996.50\n", + " -7.62\n", " \n", " \n", - " 2009-01-01 00:30:00\n", - " 996.53\n", - " -8.51\n", + " 2009-01-01 02:10:00\n", + " 996.63\n", + " -8.85\n", + " \n", + " \n", + " 2009-01-01 03:10:00\n", + " 996.87\n", + " -8.84\n", + " \n", + " \n", + " 2009-01-01 04:10:00\n", + " 997.05\n", + " -9.23\n", " \n", " \n", "\n", @@ -1196,28 +3446,39 @@ " p (mbar) T (degC)\n", "Date Time \n", "2009-01-01 00:10:00 996.52 -8.02\n", - "2009-01-01 00:20:00 996.57 -8.41\n", - "2009-01-01 00:30:00 996.53 -8.51" + "2009-01-01 01:10:00 996.50 -7.62\n", + "2009-01-01 02:10:00 996.63 -8.85\n", + "2009-01-01 03:10:00 996.87 -8.84\n", + "2009-01-01 04:10:00 997.05 -9.23" ] }, - "execution_count": 96, + "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "jena_sample = jena_data.iloc[:,:2]\n", - "jena_sample.head(3)" + "data_df = jena_df.iloc[:,:2]\n", + "data_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We first check for stationarity by looking at the lag plots and applying the KPSS and ADF tests." ] }, { "cell_type": "code", - "execution_count": 97, - "metadata": {}, + "execution_count": 67, + "metadata": { + "scrolled": false + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1229,198 +3490,206 @@ } ], "source": [ - "f2, (ax4, ax5) = plt.subplots(1, 2, figsize=(15, 5))\n", - "f2.tight_layout()\n", - "\n", - "lag_plot(jena_sample['p (mbar)'], ax=ax4)\n", - "ax4.set_title('p (mbar)');\n", - "\n", - "lag_plot(jena_sample['T (degC)'], ax=ax5)\n", - "ax5.set_title('T (degC)');\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Result**: T data is not stationary. We use differencing to make it stationary." + "lag_plots(data_df)" ] }, { "cell_type": "code", - "execution_count": 98, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - ":4: SettingWithCopyWarning: \n", - "A value is trying to be set on a copy of a slice from a DataFrame.\n", - "Try using .loc[row_indexer,col_indexer] = value instead\n", - "\n", - "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", - " jena_sample['p (mbar)'] = jena_sample['p (mbar)'] - jena_sample['p (mbar)'].shift(1)\n", - ":5: SettingWithCopyWarning: \n", - "A value is trying to be set on a copy of a slice from a DataFrame.\n", - "Try using .loc[row_indexer,col_indexer] = value instead\n", - "\n", - "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", - " jena_sample['T (degC)'] = jena_sample['T (degC)'] - jena_sample['T (degC)'].shift(1)\n" - ] - } - ], - "source": [ - "# differencing for stationarity check\n", - "rawData = jena_sample.copy(deep=True)\n", - "\n", - "jena_sample['p (mbar)'] = jena_sample['p (mbar)'] - jena_sample['p (mbar)'].shift(1)\n", - "jena_sample['T (degC)'] = jena_sample['T (degC)'] - jena_sample['T (degC)'].shift(1)\n", - "jena_sample = jena_sample.dropna()" - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "metadata": {}, - "outputs": [], - "source": [ - "# split data into train and test sets for VAR later on\n", - "end = round(len(jena_sample)*.8)\n", - "train = jena_sample[:end]\n", - "test = jena_sample[end:]" - ] - }, - { - "cell_type": "code", - "execution_count": 100, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "ADF Statistic: -59.104716\n", - "p-value: 0.000000\n", - "Critical Values:\n", - "\t1%: -3.430\n", - "\t5%: -2.862\n", - "\t10%: -2.567\n", - "ADF Statistic: -122.256393\n", - "p-value: 0.000000\n", - "Critical Values:\n", - "\t1%: -3.430\n", - "\t5%: -2.862\n", - "\t10%: -2.567\n" - ] - } - ], - "source": [ - "# ADF Null Hypothesis: there is a unit root, meaning series is non-stationary\n", - "\n", - "X1 = np.array(jena_sample['p (mbar)'])\n", - "X1 = X1[~np.isnan(X1)]\n", - "\n", - "result = adfuller(X1)\n", - "print('ADF Statistic: %f' % result[0])\n", - "print('p-value: %f' % result[1])\n", - "print('Critical Values:')\n", - "for key, value in result[4].items():\n", - " print('\\t%s: %.3f' % (key, value))\n", - " \n", - " \n", - "X2 = np.array(jena_sample['T (degC)'])\n", - "X2 = X2[~np.isnan(X2)]\n", - "\n", - "result = adfuller(X2)\n", - "print('ADF Statistic: %f' % result[0])\n", - "print('p-value: %f' % result[1])\n", - "print('Critical Values:')\n", - "for key, value in result[4].items():\n", - " print('\\t%s: %.3f' % (key, value))" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "KPSS Statistic: 0.0016032868205162105\n", - "p-value: 0.1\n", - "num lags: 97\n", - "Critial Values:\n", - " 10% : 0.347\n", - " 5% : 0.463\n", - " 2.5% : 0.574\n", - " 1% : 0.739\n", - "Result: The series is stationary\n", - "KPSS Statistic: 0.002692749007731491\n", - "p-value: 0.1\n", - "num lags: 97\n", - "Critial Values:\n", - " 10% : 0.347\n", - " 5% : 0.463\n", - " 2.5% : 0.574\n", - " 1% : 0.739\n", - "Result: The series is stationary\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/stattools.py:1850: FutureWarning: The behavior of using nlags=None will change in release 0.13.Currently nlags=None is the same as nlags=\"legacy\", and so a sample-size lag length is used. After the next release, the default will change to be the same as nlags=\"auto\" which uses an automatic lag length selection method. To silence this warning, either use \"auto\" or \"legacy\"\n", - " warnings.warn(msg, FutureWarning)\n", - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/stattools.py:1885: 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", - " warnings.warn(\n", - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/stattools.py:1885: 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", - " warnings.warn(\n" - ] - } - ], - "source": [ - "# KPSS Null Hypothesis: there is no unit root, meaning series is stationary\n", - "\n", - "def kpss_test(series, **kw): \n", - " statistic, p_value, n_lags, critical_values = kpss(series, **kw)\n", - " # Format Output\n", - " print(f'KPSS Statistic: {statistic}')\n", - " print(f'p-value: {p_value}')\n", - " print(f'num lags: {n_lags}')\n", - " print('Critial Values:')\n", - " for key, value in critical_values.items():\n", - " print(f' {key} : {value}')\n", - " print(f'Result: The series is {\"not \" if p_value < 0.05 else \"\"}stationary')\n", - "\n", - "kpss_test(X1)\n", - "kpss_test(X2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Results**: ADF Null Hypothesis is rejected. Thus, data is stationary. KPSS Null Hypothesis could not be rejected. Thus, data is stationary." - ] - }, - { - "cell_type": "code", - "execution_count": 102, + "execution_count": 68, "metadata": {}, "outputs": [ { "data": { - "image/png": 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p (mbar)T (degC)
Test statistic0.22950.3649
p-value0.01000.0100
Critical value - 1%0.21600.2160
Critical value - 2.5%0.17600.1760
Critical value - 5%0.14600.1460
Critical value - 10%0.11900.1190
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" + ], + "text/plain": [ + " p (mbar) T (degC)\n", + "Test statistic 0.2295 0.3649\n", + "p-value 0.0100 0.0100\n", + "Critical value - 1% 0.2160 0.2160\n", + "Critical value - 2.5% 0.1760 0.1760\n", + "Critical value - 5% 0.1460 0.1460\n", + "Critical value - 10% 0.1190 0.1190" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kpss_test(data_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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p (mbar)T (degC)
Test statistic-18.3281-8.5824
p-value0.00000.0000
Critical value - 1%-3.4304-3.4304
Critical value - 5%-2.8616-2.8616
Critical value - 10%-2.5668-2.5668
\n", + "
" + ], + "text/plain": [ + " p (mbar) T (degC)\n", + "Test statistic -18.3281 -8.5824\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4304 -3.4304\n", + "Critical value - 5% -2.8616 -2.8616\n", + "Critical value - 10% -2.5668 -2.5668" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "adf_test(data_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Result:** All three conclusively show that both data are not stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We apply differencing and recheck for stationarity." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "data_df['p (mbar)'] = data_df['p (mbar)'] - data_df['p (mbar)'].shift(1)\n", + "data_df['T (degC)'] = data_df['T (degC)'] - data_df['T (degC)'].shift(1)\n", + "data_df = data_df.dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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" ] @@ -1432,175 +3701,248 @@ } ], "source": [ - "f2, (ax4, ax5) = plt.subplots(1, 2, figsize=(15, 5))\n", - "f2.tight_layout()\n", - "\n", - "lag_plot(jena_sample['p (mbar)'], ax=ax4)\n", - "ax4.set_title('p (mbar)');\n", - "\n", - "lag_plot(jena_sample['T (degC)'], ax=ax5)\n", - "ax5.set_title('T (degC)');\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Result**: Lag plots confirm results of ADF test and KPSS test." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Step 2**: Set up a VAR model for the data (without differencing)." + "lag_plots(data_df)" ] }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 72, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/base/tsa_model.py:581: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n", - " warnings.warn('A date index has been provided, but it has no'\n", - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/base/tsa_model.py:585: ValueWarning: A date index has been provided, but it is not monotonic and so will be ignored when e.g. forecasting.\n", - " warnings.warn('A date index has been provided, but it is not'\n" - ] + "data": { + "text/html": [ + "
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p (mbar)T (degC)
Test statistic0.00090.0024
p-value0.10000.1000
Critical value - 1%0.21600.2160
Critical value - 2.5%0.17600.1760
Critical value - 5%0.14600.1460
Critical value - 10%0.11900.1190
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" + ], + "text/plain": [ + " p (mbar) T (degC)\n", + "Test statistic 0.0009 0.0024\n", + "p-value 0.1000 0.1000\n", + "Critical value - 1% 0.2160 0.2160\n", + "Critical value - 2.5% 0.1760 0.1760\n", + "Critical value - 5% 0.1460 0.1460\n", + "Critical value - 10% 0.1190 0.1190" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "model = VAR(train)\n", - "model_fitted = model.fit(2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Step 4**: Make sure that the VAR is well-specified. For example, ensure that there is no serial correlation in the residuals. If need be, increase p until any autocorrelation issues are resolved." + "kpss_test(data_df)" ] }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 73, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Rain : 2.01\n", - "Dam : 2.0\n" - ] + "data": { + "text/html": [ + "
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p (mbar)T (degC)
Test statistic-38.6219-41.3374
p-value0.00000.0000
Critical value - 1%-3.4304-3.4304
Critical value - 5%-2.8616-2.8616
Critical value - 10%-2.5668-2.5668
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" + ], + "text/plain": [ + " p (mbar) T (degC)\n", + "Test statistic -38.6219 -41.3374\n", + "p-value 0.0000 0.0000\n", + "Critical value - 1% -3.4304 -3.4304\n", + "Critical value - 5% -2.8616 -2.8616\n", + "Critical value - 10% -2.5668 -2.5668" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "#Check for Serial Correlation of Residuals (Errors) using Durbin Watson Statistic\n", - "#The value of this statistic can vary between 0 and 4. \n", - "#The closer it is to the value 2, then there is no significant serial correlation. \n", - "#The closer to 0, there is a positive serial correlation, \n", - "#and the closer it is to 4 implies negative serial correlation.\n", - "\n", - "out = durbin_watson(model_fitted.resid)\n", - "\n", - "for col, val in zip(data.columns, out):\n", - " print(col, ':', round(val, 2))" + "adf_test(data_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Result**: There is no significant correlation between in the residuals." + "**Result:** All three conclusively agree that both data are now stationary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**Step 5**: Now take the preferred VAR model and add in m additional lags of each of the variables into each of the equations." + "We next split the data and select the lag order $p$." ] }, { "cell_type": "code", - "execution_count": 105, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/base/tsa_model.py:581: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n", - " warnings.warn('A date index has been provided, but it has no'\n", - "/opt/conda/lib/python3.8/site-packages/statsmodels/tsa/base/tsa_model.py:585: ValueWarning: A date index has been provided, but it is not monotonic and so will be ignored when e.g. forecasting.\n", - " warnings.warn('A date index has been provided, but it is not'\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "2\n" - ] - } - ], - "source": [ - "model = VAR(train)\n", - "model_fitted = model.fit(2)\n", - "#get the lag order\n", - "lag_order = model_fitted.k_ar\n", - "print(lag_order)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "**Step 6**: Test for Granger non-causality." - ] - }, - { - "cell_type": "code", - "execution_count": 106, + "execution_count": 74, "metadata": {}, "outputs": [], "source": [ - "maxlag = lag_order\n", - "test = 'ssr_chi2test'\n", - "def grangers_causation_matrix(data, variables, test='ssr_chi2test', verbose=False): \n", - " \"\"\"Check Granger Causality of all possible combinations of the time series.\n", - " The rows are the response variable, columns are predictors. The values in the table \n", - " are the P-Values. P-Values lesser than the significance level (0.05), implies \n", - " the Null Hypothesis that the coefficients of the corresponding past values is \n", - " zero, that is, the X does not cause Y can be rejected.\n", - "\n", - " data : pandas dataframe containing the time series variables\n", - " variables : list containing names of the time series variables.\n", - " \"\"\"\n", - " df = pd.DataFrame(np.zeros((len(variables), len(variables))), columns=variables, index=variables)\n", - " for c in df.columns:\n", - " for r in df.index:\n", - " test_result = grangercausalitytests(data[[r, c]], maxlag=maxlag, verbose=False)\n", - " p_values = [round(test_result[i+1][0][test][1],4) for i in range(maxlag)]\n", - " if verbose: print(f'Y = {r}, X = {c}, P Values = {p_values}')\n", - " min_p_value = np.min(p_values)\n", - " df.loc[r, c] = min_p_value\n", - " df.columns = [var + '_x' for var in variables]\n", - " df.index = [var + '_y' for var in variables]\n", - " return df\n", - "\n", - "o = grangers_causation_matrix(train, variables = train.columns) " + "train_df, test_df = splitter(data_df)" ] }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AIC 59\n", + "BIC 53\n", + "HQIC 54\n", + "FPE 59\n", + "dtype: int64\n" + ] + }, + { + "data": { + "image/png": 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7dy8NDVUyZljHRqSElCvKV3/xQjsvpAAqKRdkU8Rc8SRwvJnNMrNRwOXAT9IvMLNjgHuBj7n7H9LWDfgusN3d/7mQQfUfG2lvL+TLigSqtFwyknxR9j0vAKaM184LKZ2ZM2fS3NzMnj17og6lIBoaGpg5c2bUYZTG2CnQuQ/6+kAz6qXIlCvK1+SG5LER7byQAqi0XJBNMXKFu/eY2dXAeqAW+Hd332Zmn0o+/m3gRmAK8K/JRqM9yYZ/ZwIfA54xs83Jl/yCuz+Yb1w1jROBRM8LkWKrxFwy3HxREcWLyeNGsa1F27WkNOrr65k1a1bUYchIjJ0C3gddbYkjJCJFpFxRvlI7L/Z1qUeO5E+5oDCSxYYHB619O+33VwJXBjzv1wT3zMhbzbixUFtLr46NSAkol1TUsRE17BSRLMZOSfyqpp0ikkHjqEYM084LEcnIzKhtbFTDTpESqYzixfjRvNnVw6GevqhDEZE46y9evBZtHCISa7U1tUwcPVHFCxHJKlG80LERkVKoiOLF5HGjAHj9gPpeiEgG/cULNe0UkcwmNUxSw04Ryap2wgT62nVsRKQUKqJ4MSVZvNDRERHJSMULEcnRpIZJ6nkhIlnVTNTOC5FSqYzixfjRAJo4IiKZqXghIjmaNHqSjo2ISFY6NiJSOhVRvEgdG9m7X8ULEclg1FioG6PihYhkNalBxQsRya52QqOmjYiUSEUULw4fnyxeaOeFiGQzdoqmjYhIVpMaJtF2sI3evt6oQxGRGKttbKTvjTfwXuUKkWKriOLFhIZ6amuMfR3qeSEiWYydrJ0XIpLV5IbJOE77IW0HF5FwtY2NANp9IVICFVG8qKkxJo0dpWMjIpLd2CkqXohIVpNGTwLQ0RERyai2cQIAfSpeiBRdRRQvIHF0RMdGRCQrFS9EJAeTGhLFC00cEZFMalI7L9S0U6ToKqZ4MXncKE0bEZHsVLwQkRxMbpgMQNvBtmgDEZFYq1XxQqRkKqp4sXe/el6ISBZjp0BXO/R2Rx2JiMRYaueFjo2ISCa1jRMB6G1T8UKk2CqmeHH4+NE6NiIi2Y1N/DSVTn1DIiLhUj0vdGxERDJJ9bzofUPFC5Fiq5jixeRxo3izq4dDPX1RhyIicTbu8MSvOjoiIhnU19ZzWP1h2nkhIhnVTkgWL3RsRKTo8ipemNmHzGybmfWZWVOG6yaa2T1m9pyZbTezhfncN8jkcaMA1PdCRDIbOyXxq4oXIpLFpIZJKl6ISEZWX0/NuHH0qXghUnT57rzYClwG/CrLdauAn7r7HOA0YHue9x3i8PGJ4sXeDvW9EJEMVLwQibU4/WBkUsMk9h3UsRERyaymcQK97RqVKlJsdfk82d23A5hZ6DVmNgE4G/ifyeccAgq+PWLyuNGAdl6ISBYqXojEXeoHI9/Jcl3qByMfNLNRwNhCBzJp9CRaOloK/bIiUmFqGyfq2IhICZSi58VsYA/wPTPbZGa3m9m4Qt8kdWxk734VL0TiKDY/TR2TbNip4oVILLn7dnd/PtM1aT8Y+W7yOYfcva3QsejYiIjkoraxUcULkRLIWrwws4fMbGvAxyU53qMOOB34N3dfAHQASzPc7yoz22BmG/bs2ZPjLdKPjah4IRJT8ThmVjcKRk+ADhUvRMpYzj8YGen7CkgWLw6+jrsXIGQRqVS1EyZo2ohICWQtXrj7ee5+SsDH/Tneoxlodvcnkp/fQ6KYEXa/1e7e5O5NU6dOzfEWMKGhntoaY596XojEUpx+msrYydp5IRKhUv5gZKTvKwAmN0ymp6+HN7vfHNbzRKS6aOeFSGnk1fMiF+6+y8x2mNmJyW9czgWeLfR9amqMSWNH6diISHlL/2nqacBTwBJ37xh8oZldBVwFcMwxxwzvLmOnqHghEiF3Py/Plwj6wUjors6RmtQwCYDXu15nwqgJhX55EakQtRMb6Wtrx90z9gIUkfzkOyr1A2bWDCwE1pnZ+uT6dDN7MO3Svwd+aGZbgPnA1/O5b5jDx4/SsRGRCJXLT1NVvBApb+6+C9hhZicml4ryg5FJo98qXoiIhKmZMAHv7sa7uqIORaSi5TttZA2wJmC9Bbgo7fPNQGiDvkKZPG6Upo2IRKhcfprK2Cmw+7mCv6yI5M/MPgD8CzCVxA9GNrv7BWY2Hbjd3VPvL1I/GBkFvAR8otCxTG5INPhV8UJEMqltbASgt72dmjFjIo5GpHKVYtpISdy3aSeb/vQ6T736OmeueIT7Nu2MOiQRGaZS/TRVOy9E4svd17j7THcf7e5HuvsFyfWWtMIF7r45uftqnrtf6u4FrzBs2r0JgM/+4rOcf8/5rHtpXaFvISIVoLZxIoD6XogUWUUUL+7btJNl9z5DZ3cfADvbOll27zMqYIjESKyOmY2dDN0d0N1Z8JcWkcqw7qV1rNq4qv/z1o5Wlj++XAUMERmitjHRE0fFC5Hiqojixcr1z9PZ3TtgrbO7l5XrMw42EJESitNPU9n3cuLXr02DW06BLXcX/BYiUt5WbVxFV+/A8+tdvV0DChoiUjpmdqGZPW9mL5rZkCOlZva3ZrYl+fF4svF3Ts/NV/qxEREpnoooXrS0Bf/0NGxdRKrYlrthy4+Snzi074C1n1UBQ0QG2NWxa1jrIlI8ZlYL3Aa8D5gLfMTM5g667GXgr9x9HvAPwOphPDcvqeJFn4oXIkVVEcWL6RODG+OErYtIFXv4Jugd1Ni3uzOxLiKSdNS4o4a1LiJFdQbworu/5O6HgLuAAZPM3P3xtN2avwNm5vrcfNVMSO28eKOQLysig1RE8eK6C05kTH3tgLUx9bVcd8GJIc8QkarV3jy8dRGpSktOX0JDbcOAtYbaBpacviSiiESq2gxgR9rnzcm1MH8H/PdwnmtmV5nZBjPbsGfPnmEFVzNuLNTV6diISJHlNSo1Li5dkMg/K9c/z862TmprjG9cdmr/uohIv8aZiaMiQesiIkmLZi8CYOWTK9nbtZfJDZO5/n9c378uIiVlAWseeKHZe0gUL941nOe6+2qSR02ampoCXzs0ODNqGxtVvBApsorYeQGJAsZvlp7DFy6aQ2+f867jD486JBGJo3NvhPpBR8rqxyTWRUTSLJq9iAc+8ACGcfmcy1W4EIlOM3B02uczgZbBF5nZPOB24BJ33zuc5+artrGR3jdUvBAppoopXqTMP3oSAE/vaIs2EBGJp3kfhsXfgtGHJT5vnJn4fN6Ho41LRGJp/KjxzG6czbbXtkUdikg1exI43sxmmdko4HLgJ+kXmNkxwL3Ax9z9D8N5br7a166le8cO3vzvn/LCOefSvnZtIV9eRJIqrnhxyowJ1NYYm1W8EJEwqQIGwP/zQxUuRCSjkw8/mWdeewb3Ye0kF5ECcfce4GpgPbAduNvdt5nZp8zsU8nLbgSmAP9qZpvNbEOm5xYqtva1a2n98o14dzcAPS0ttH75RhUwRIqg4ooXY0fVccKRh6l4ISKZTV+Q+LV1c6RhiEj8nXr4qezr2kdrR2vUoYhULXd/0N1PcPfj3P1rybVvu/u3k7+/0t0nufv85EdTpucWyu5bbsW7ugbG2tXF7ltuLeRtRIQKLF4AzD96Ik/vaKOvTz8hEZEQk46FhonQsinqSEQk5k49/FQAnnntmYgjEZG46WkNLmqGrYvIyFVo8aKRN7p6eHlvR9ShiEhcmcH0+SpeiEhWJ0w6gfqaevW9EJEh6qZNG9a6iIxchRYv1LRTRHIwfQH8+Vno7sp+rYhUrfraeuZMnqOdFyIyxBHXXoM1NAxYs4YGjrj2mmgCEqlgFVm8eNsR4xk3qlZ9L0Qks+kLoK8bduunqSKS2SmHn8K2vdvo7euNOhQRiZHGxYuZ9g839e+0qBk3jmn/cBONixdHHJlI5anI4kVtjXHqzEYVL0Qks1TTzpbNkYYhIvF36uGn0tnTyUvtL0UdiojETOPixRz/i0cYc9ppNMydq8KFSJFUZPECYNyoOrY0tzNr6TrOXPEI923aGXVIIhI3jUfDmMnqeyEiWZ18+MkAbH1ta8SRiEhcNZw8l67t2/G+vqhDEalIFVm8uG/TTh57YQ8ADuxs62TZvc+ogCEiA5kldl9o54WIZLHttW0Yxo2P38j595zPupfWRR2SiMRMw9y59O3fT/eOHVGHIlKRKrJ4sXL98xzqHTgmtbO7l5Xrn48oIhGJrekLYPez0N0ZdSQiElPrXlrHTb+9CSfx3qK1o5Xljy9XAUNEBmiYOxeArmefjTgSkcpUkcWLlrbgb0LC1kWkik1fAN4Lf1bTThEJtmrjKrp6B04l6urtYtXGVRFFJCJxNPptb4P6ehUvRIqkIosX0yeOGda6iFSx9uRxstvPhVtOgS13RxuPiMTOro5dw1oXkepko0bRcPzxdG1T8UKkGPIqXpjZh8xsm5n1mVlTyDUnmtnmtI83zOyafO6bzXUXnMiY+toh6zvbOtW8U0TesuVuePgrb33evgPWflYFDBEZ4KhxRw1rXUSqV8PJc+l69lncPfvFIjIs+e682ApcBvwq7AJ3f97d57v7fODtwAFgTZ73zejSBTP4xmWnMiNgp4Wad4pIv4dvGtrrorszsS4ikrTk9CU01DYMWDOMq+dfHVFEIhJXDXPn0tvWRk9LS9ShiFScvIoX7r7d3YfTBfNc4I/u/mo+983FpQtm8Jul5wQWMNS8U0QAaG8e3rqIFF0cd3Uumr2I5e9czrRx0zCMiaMn4jgrnlzBvDvmafqIiPRLNe3sVN8LkYIrdc+Ly4E7M11gZleZ2QYz27Bnz568bxjWpHNnWyezlq7TMRKRatY4c3jrIlIKsdzVuWj2In72wZ+x5Yot3PA/bqDGanjz0Js4rukjItJv9IknQm2tmnaKFEHW4oWZPWRmWwM+LhnOjcxsFHAx8F+ZrnP31e7e5O5NU6dOHc4tAmVq0unoGIlIVTv3RqgPyBGHOmD5RDXwFIlAnHd1pnxr07fo874Ba129XSx9bKl2YYhUuZqGBkbPnq3ihUgRZC1euPt57n5KwMf9w7zX+4CN7v7nkYU6MmHNO9PpGIlI8cVxKzjzPgyLvwWNRwMG9eMS6537AFcDT5HykHFXZ6F3dELmKSPahSEiNYcdRsdjv2b7SXN54ZxzaV+7NuqQRCpCKY+NfIQsR0aKIb15p2W4Lux4iYgUTCy3gjPvw3DtVljeBmMnD31cDTxFCq6UuzoLvaMTsk8Z6ertYtXGVQW5l4iUl/a1a+ncsgX6+sCdnpYWWr98owoYIgWQ76jUD5hZM7AQWGdm65Pr083swbTrxgLvBe7N534jlWre+fKKRYENPCFxhET9L0SKpxy2goc38NyhIyQiBVTuuzqDpo8Mlml3hohUrt233Ao9PQPWvKsrsS4iecl32sgad5/p7qPd/Uh3vyC53uLuF6Vdd8Ddp7h7e74B5yvTMRL1vxCJlZJvBc/YqFNHSETiKJJdnenTR8KYmSaRiFShntbWYa2LSO5KPW0kcunHSIKo/4XIyJX7VvDQBp4pOkIiUnTlsqszNX1kxVkrAndh9HmfJpGIVKG6acFFzbB1Ecld1RUv4K1jJGE9MDRGVWRkyn0r+MAGniHad2gSiUgRlduuzvRdGIZRY0PfWqkHhkj1OOLaa7CGgQVNa2jgiGuviSYgkQpSlcWLFI1RFYmtSLaCA2818MxUwNAkEhFJk9qFseWKLbh74DWtHa06QiJSBRoXL2baP9xE3fTpYMkflbrTcv0NmjwikqeqLl5ojKpI6ZTLVvB+2Y6QgI6RiMgQmSaR6AiJSHVoXLyY4x95mOn/eDPU1uIHD2ryiEgBVHXxQmNURUqn3LaCDzxCkiFDhE0oEZGqlG0SiY6QiFSP3bfcCr29A9Y0eURk5Kq6eAEaoyoiGaSOkCxvy3CMxNX/QkT65TKJRGNURapD6OSRlha2nzRXx0hEhqnqixfpNEZVREJlOkai/hcikibVAyOsgKExqiLDZ2YXmtnzZvaimS0NeHyOmf3WzA6a2ecHPXatmW1LTkC708zCt0cVUMYJIzpGIjJsKl6k0RhVEQmVbRKJ+l+IyCBhR0g0RlVkeMysFriNxDSyucBHzGzuoMv2AZ8FvjnouTOS603ufgpQC1xe9KAJnjwymI6RiOROxYtBso1RVf8LkSqWOkYSliHU/0JE0miMqkjBnAG86O4vufsh4C7gkvQL3H23uz8JdAc8vw4YY2Z1wFigpdgBQ8jkkQBhx0tEZCAVL0KEjVHNNF5VRKpE48zgdauB5RPVA0NE+uUyRlU9MESymgHsSPu8ObmWlbvvJLEb409AK9Du7j8reIQhUpNHTtr+bKKIERyk+l+I5EDFixBh/S/2H+xm1tJ1auApUs3C+l94L+DqgSEigcLGqGYaryoiQPCWx+Bq4OAnmk0isUtjFjAdGGdmHw247ioz22BmG/bs2ZNXsGEyHSNR/wuR7FS8CDF4jOqEhkQho72zB0cNPEWq2uAxqhbQ6Fc9MERkkLAeGK0drWreKZJZM5DedGomuR/9OA942d33uHs3cC/wzsEXuftqd29y96apU6fmHXCQAcdIAqj/hUhmKl5kkD5G9bCGUUMeVwNPkSqWPkbV+4KvUQ8MEUmTaYyqmneKZPQkcLyZzTKzUSQabv4kx+f+CXiHmY01MwPOBbYXKc6sUsdIwnpgaIyqSDgVL3IU1qhTDTxFJLQHRti6iFStTGNU1bxTJJi79wBXA+tJFB7udvdtZvYpM/sUgJkdZWbNwP8GvmRmzWY2wd2fAO4BNgLPkPj+Z3UkX0gajVEVGT4VL3KkBp4iEiqsB0b7DjXvFJFAYU061bxTJJi7P+juJ7j7ce7+teTat93928nf73L3me4+wd0nJn//RvKxr7j7HHc/xd0/5u4Ho/xaQGNURUZCxYscBTXwbKiv4boLTowoIhGJjQE9MAZR804RCaDmnSLVTWNURYZPxYscDW7gCXDB3KO4dEFOU5pEpNKlemAEFTDUvFNEBglq3llfU8+S05dEFJGIlJrGqIoMj4oXw5DewPOEI8azdkuLxqaKyEBhTTrVvFNE0qQ37zSM+pp6xtaN5fy/OD/q0EQkAhqjKpKdihcjcN+mnby67wB9jsamishAat4pIjlKNe/ccsUWvnXOt2g/1M577n4P8+6Yp9GpIlVGY1RFslPxYgRWrn+egz0DRyNqbKqIAMHNO2tHJ9ZFREK0dbVhGO2H2nFco1NFqlDWMarqfyFVTsWLEdDYVBEJNaB5p4HVwNQTE+siIiG+telbOD5gTaNTRapT2BjVjONVRapAXsULM/uQmW0zsz4za8pw3bXJ67aa2Z1mlnkuUMxpbKqIZJRq3rm8Dd7zBdi1Bb55AiyfqNGpIhJIo1NFJCWs/0Xf/v1sP2muGnhK1cp358VW4DLgV2EXmNkM4LNAk7ufAtQCl+d530gFjU2tqzGNTRWRocZNTfy6/8+Aa3SqiATS6FQRSRk8RtUmTACg7403wF0NPKVq5VW8cPft7p5Lo4c6YIyZ1QFjgZZ87hu1wWNTE4UM551vmxJ1aCISN7/65tA1jU4VCVWtuzqDRqc21DZodKpIlUofo1o7fvyQx9XAU6pRXbFv4O47zeybwJ+ATuBn7v6zsOvN7CrgKoBjjjmm2OGN2KULZnDpghkAvPJaB+/55qO855uPcuBgL9MnjuG6C07sf1xEqphGp4oMV2pX53fCLkjb1TnX3TvN7G4Suzq/X5IIi2DR7EUArNq4itaORFO+c44+p39dRKpXWKNONfCUapN154WZPZT8qcbgj0tyuYGZTQIuAWYB04FxZvbRsOvdfbW7N7l709SpU3P9OiK1eUcbNTVGx8FejU4VkYE0OlVkWKp1Vye8NTr1mSue4Z3T38mjOx7lvf/1Xo1OFalyauApkpC1eOHu57n7KQEf9+d4j/OAl919j7t3A/cC78wn6LhZuf55evsGdgjX6FQRAYJHp9aP0ehUkTy4+04gtauzFWgP29VpZleZ2QYz27Bnz55ShpmX+VPnc6D3ALsO7NLoVJEqF9TA0xoaOOLaa6IJSCQipRiV+ifgHWY21swMOBfYXoL7loxGp4pIqAGjU5POvl6jU6WqlXJXZznu6ARY8+KaIWsanSpSnQY38AQYu3AhjYsXRxyZSGnlOyr1A2bWDCwE1pnZ+uT6dDN7EMDdnwDuATYCzyTvuTqvqGNGo1NFsqvWJnzAW6NTr38Zahvgl/+osalS1bSrMzuNThWRdOkNPBvmz6fjF7/Q2FSpOvlOG1nj7jPdfbS7H+nuFyTXW9z9orTrvuLuc5JvTD7m7gfzDTxOgkanQqL3xZkrHlHvC5GEqhytPMCLD4H3QE8nGpsqkpeK39Wp0akiEqR97VoObk+mO41NlSpTimMjFS99dOpgat4pklDNTfj6PXwT9PUMXNPYVJEBtKszQaNTRSTI7ltuxQ8O/DmwxqZKtVDxokAuXTCD3yw9J7CAoeadIrmp+CZ8GpsqkpV2dSYsmr2I5e9czrRxA6cJLHtsmSaPiFQxjU2VaqbiRYGpeadUMzXhy0JjU0VkGFKjU1ectYIaq6Grt0uTR0SqnMamSjVT8aLA1LxTqpma8GURNDa1pl5jU0Uko1UbV9HnfQPWNHlEpDoFjU2lpoap11wTSTwipaTiRYGFNe/cf7CHWUvXqYGnSGaV3YRvwNhUg7oxiR4YP79R00dEJJQmj4hIyuCxqTWNjdDXx+4VKzR9RCqeihcFlt6804DDRicKGe2d3Thq4CnVS034klJjU5e3wXu/Cji82Yqmj4hIGE0eEZF06WNTj1y2FMzo3bdP00ek4ql4UQSp5p0vr1jEhDGjhjyuBp5SjdSEL8Dj/zJ0TdNHRGSQoMkjAAe6DzDvjnlq4ClSxfZ861/AfcCapo9IpaqLOoBKpwaeIhJK00dEJAeLZi8CEr0vdnXsYlz9OPZ376f9UDtAfwPP9GtFpDpo+ohUE+28KLKwRp0O6n8hUu00fUREcpSaPLLlii0cNuqwIY+rgadIddL0EakmKl4UWVgDT1D/C5GqFzR9BBK9L9S8U0RCqIGniKQETh8Belpa1LxTKo6KF0WW3sAziPpfiFSxAdNHBlHzThEJEdao03H1vxCpMgOmjwyi5p1SaVS8KIFUA08LeVz9L0SqWGr6SFABQ807RSRAWANPeKv/hQoYUmnM7EIze97MXjSzpQGPzzGz35rZQTP7/KDHJprZPWb2nJltN7OFpYu8+FLTR4IKGGreKZVExYsSCut/UWMwa+k69cAQqWZq3ikiOVo0exHL37mcaeOCz7Sr/4VUGjOrBW4D3gfMBT5iZnMHXbYP+CzwzYCXWAX81N3nAKcB24sYbmTUvFMqnYoXJRTW/6LXEw081QNDpIqFNem0Glg+UT0wRGSAVANPC9nXqf4XUmHOAF5095fc/RBwF3BJ+gXuvtvdnwS609fNbAJwNvDd5HWH3L2tJFGXWGiTzpoatp80Vz0wpOypeFFC6f0vDKgNeL+hHhgiVSqseaf3Aq4eGCISKKz/hZkx74556oEhlWIGsCPt8+bkWi5mA3uA75nZJjO73czGDb7IzK4ysw1mtmHPnj35RxyBsOad9PaCu3pgSNlT8aLEUv0vXl6xiD4PvkY9MESq0IDmnQYWMKVIPTBEZJCw/hd93ofj6oEhlSJoi1HIO+kh6oDTgX9z9wVABzCkZ4a7r3b3Jndvmjp16sgjjdCA5p1mUDP0Wz31wJBypuJFhMJ6YISti0iFSzXvXN4G3hd8jXpgiEia9P4XhlFjQ9/aqQeGVIBmIL2z9UygZRjPbXb3J5Kf30OimFGRUs07T9r+LHhwfUc9MKRcqXgRobAeGDvbOtW8U6TahfXAwNX/QkQGSPW/2HLFFjzkmxX1wJAy9yRwvJnNMrNRwOXAT3J5orvvAnaY2YnJpXOBZ4sTZryE9sBwV/8LKUsqXkQovQfGYGreKVLlwnpggPpfiEiosB4Yjqv/hZQtd+8BrgbWk5gUcre7bzOzT5nZpwDM7Cgzawb+N/AlM2tONusE+Hvgh2a2BZgPfL3kX0QEQntggPpfSFlS8SJiqR4YQQUMNe8UqWIDemAEUP8LEQkQ1gMDUP8LKWvu/qC7n+Dux7n715Jr33b3byd/v8vdZ7r7BHefmPz9G8nHNif7Wcxz90vd/fUov5ZSGdADI4D6X0i5UfEiJsKadO5s62TW0nU6RiJSjVI9MEJGIar/hYgMlt4DI4j6X4hUl1QPDCz4vYT6X0g5yat4YWYfMrNtZtZnZk0ZrltiZluT116Tzz0rVaYmnY6OkYhUtbD+F6F9MUSkmqV6YFhI4bO1o1VjVEWqTGj/CzO2nzRXPTCkLOS782IrcBnwq7ALzOwU4H8BZwCnAe83s+PzvG/FCWvemU7HSESqVFj/i4P7YflENfAUkUBh/S8AjVEVqTKh/S/6+sBdPTCkLORVvHD37e6e7bvpk4DfufuBZLOdXwIfyOe+lSi9eWfIBnFAk0hEqtKA/hcGo5P9x7peB1wNPEUkUKb+Fyk6RiJSHQb0vzCD2qE/NFUPDIm7UvS82AqcbWZTzGwscBED5zQPYGZXmdkGM9uwZ8+eEoQXH6nmnS+vWBTYwDNFR0hEqlCq/8XyNmhoHPq4GnhKhdCR1MJJ738RdoQENEZVpFqk+l+ctP3ZxI6LAOqBIXGWtXhhZg8l3xwM/rgklxu4+3bgZuDnwE+Bp4GeDNevTnYDbpo6dWqOX0blyXaMpLO7l8/d/XR/M88v3fcMZ654RM09RapBWKPO9h06QiKVQEdSCyjV/2LLFVtCm3hqjKpI9QntgeGu/hcSW1mLF+5+nrufEvBxf643cffvuvvp7n42sA94IZ+gq0H6MZIwve79zTx/8Ls/sbOts//za3+0mWNVyBCpTJkadeoIiZQ5HUktnmxjVL/06y9x1l1nqZmnSBUI7YEB6n8hsVWSUalmdkTy12NI/DTlzlLct9yljpFkKmCE8eSvOmIiUoHCGnim6AiJVL6cj6RW83HUwbKNUe3xHtoOtvU381z62FJOveNUFTJEKtCAHhgBvKuLlqXLNIlEYiXfUakfMLNmYCGwzszWJ9enm9mDaZf+2MyeBdYCn3H31/O5b7XJZRJJJppSIlJhBjTwDNG+Q5NIJLZKeSRVx1EHyjZGNYh2ZYhUplQPDCwkH/T2ahKJxEq+00bWuPtMdx/t7ke6+wXJ9RZ3vyjturPcfa67n+buD+cbdLUZPImkNizBZNDS1ln4wEQkOqkGnpkKGKlJJPdeBcsbVciQ2NCR1OhlGqMaZPCuDI1YFakcof0v0mgSicRBSY6NSP7SJ5H804dPG/ZOjBozNfOUSGmCQJFkO0IC9B8ka98B930abp6lXRlS9nQkNT+5jFHNRCNWRSpHpv4X6XpaWnSERCKl4kUZGrwTY8bEMXz0Hcf098YI2peR3txTPTAkIpogUAwDjpDksCurrxs696FdGRJXOpJaGoPHqDaOaqS+pn5Yr9Ha0aojJCIVYED/CzOoDf8haU9LCy3LvsAf3rFQ/TCk5Mzds18VkaamJt+wYUPUYZSd+zbtZOX652lp66TGoDfgP/GMiWP4zdJzSh+clA0ze8rdQ3dI5PG6jwKfd/ch/7jN7EPABe5+ZfLzLwMH3f0fM72mckWaW05JFCVGon5MohAy78OFjUkqWrFyRTEoV2S27qV1rNq4itaO1mE9r6G2geXvXM6i2YuKFJlUAuWK8tG+di2tX74R7+oa1vPqpk/niGuvoXHx4iJFJtUiLF9o50UFSj9i0hdSm1IPDIkpTRDIV07HSEJoSolIVUs183zmimdYcdaKnHdl6AiJSGXJNokkjHZlSLHVRR2AFNf0iWPYGVComD6C8asi2ZjZQ0BQF7gv5tKIz923m1lqgsB+skwQAFZD4ickIw660qR2TTx8U3IHhvHW8OQcpKaUNM5MFEK0C0OkKi2avWjATopsuzJ2dewqVWgiUgKNixfTuHgxL5xzLj0tLbk/saeH3ra2xG+TU0pSryeSL+28qHBhY1Z3tnWqeacUnCYIxERqEsnydrhs9Vv9MMZMhtpRObxAsh/G2s+qD4aIAG/typg2LngqwXCnl4hIeci1mWcYTSmRQlLxosKlN/ccTM07JY40QaDA+gsZbXDDy3DJbWnjVbM0+NQxEhEZJGxKSWdPJ/PumKcGniIVZnAzT5s4EasfXnNfTSmRQlHxogqkemAEFTA6u3tZuf75CKKSaqMJAjERtisjTHtzyUITkfgbPKVkdO1oANoOtuE4rR2tLH98uQoYIhWkcfFijn/kYU7a/ixzfvdbpn39a2/1w7AcJp3x1hESFTAkHypeVJGwJp1q3iml4O5r3H2mu4929yPd/YLkeou7X5R23VnuPtfdT3P3h6OLuAqk78poDOyLmuh9ISKSJnWEZMsVW5jcMHnI42rgKVLZ+osZz21n+j/enPOuDB0hkXypeFFFwpp0qnmniAROKakdnVgXEQkR1qhTDTxFqkPGXRkBelqHN4pZJJ2KF1UkqHlnfa1x3QUnRhSRiMTGvA/D4m+lHSMx6OuGe6+CW05R404RCRTWqFMNPEWqU6qYEVrAMNMYVRkxFS+qSHrzTgNG19WAOzf/9DlmLV2n6SMi1S51jOSy1YmpJN6HJo+ISCZBDTwbahtYcvqSiCISkTgInVLS1wfu6oEhI6LiRZVJNe98ecUilpx3PN190NrehaPpIyKS9PBN0Htw4Jomj4hIgPQGnil/M+dvWDR7UYRRiUjUBk8pobZ2yDXqgSHDpeJFFfvh7/40ZK2zu5drfrRZuzBEqlnYhBFNHhGRAKkGnk999Ckmjp7If2z/D41NFZEB/TDo6wu8Rj0wZDjqog5AopNpysjOtk6u+6+n+erabbQd6Gb6xDFcd8GJXLpgRgkjFJFINM5MHBUJWhcRCfHzV39OR3cHPX09AP1jUwHtxBCpcnXTptHT0hK4LpIr7byoYtmmjHT3Oa8f6NaREpFqEzR5BNPkERHJaNXGVXT3dQ9Y6+rt4gu//oJ2YkjezOxCM3vezF40s6UBj88xs9+a2UEz+3zA47VmtsnMHihNxJIurAdGT0uLmndKzlS8qGJB00cy0ZESkSoxePLImMmAw0+XwvKJmj4iIoHCxqP2eR+O09rRytLHlnLqHaeqkCHDYma1wG3A+4C5wEfMbO6gy/YBnwW+GfIyS4DtRQtSMhrQA2MQNe+UXKl4UcXSp48MR+pIyYKbfqYpJSKVKjV5ZHkbXPgNwODAXjR9RETCDGc8amtHK1/69Zc4666ztCtDcnEG8KK7v+Tuh4C7gEvSL3D33e7+JNA9+MlmNhNYBNxeimAlWKYxqt7VRcvSZRqjKhmp50WVu3TBDC5dMIP7Nu1k2b3P0Nndm9PzUkdKIFHMuPZHm7nmR5uZMXEM75kzlV88t4eWtk4ax9RjRn/fjEyPqaeGSEw98n8AH7jW3Qn3/q/EBJJzb0wUO0Skqi05fQnLH19OV29XTtf3eA9tB9sA9ceQrGYA6c2YmoG/HMbzbwWuBw4Lu8DMrgKuAjjmmGOGH6HkLLRJZ2/i+5CelhZaln2BP3/t6/S2t1M3bRpHXHsNjYsXlzBKiSMVLwSgv2iwcv3z/YWFjkM9dPd6lmcmpK7a2dbJD9KmmLR1vlX8zvZYeoPQ4RQ90h9TEUSkCDJNGWnfAfd9Gv77Buh8PdHUU8UMkaqUKjqs2riKXR27MDP6PHjCQJCu3i6WPraUVRtXcfbMs/lV86/Y1bGLo8YdxZLTl/S//rqX1vXfY8KoCZgZ7Qfbh1wnFcUC1nJ6k2pm7wd2u/tTZvbusOvcfTWwGqCpqSm3N8AyImHNOwfo6aG3rS3x25YWWq67npbrrqdu+nQVMqqYucf332ZTU5Nv2LAh6jCq1n2bdrJy/fPszDCVJI6MxP/NZqiQkRcze8rdm6KOIxfKFUV2yynB00fC1I9J9MxQAaMqKFdImHUvrRvWToxcNI5q5EDPgSGNQVPqrI7xo8bTfrB9SGEjvSAynMdUECmMfHKFmS0Elrv7BcnPlwG4+zcCrl0O7Hf3byY//wbwMaAHaAAmAPe6+0fD7qdcUVzta9fS+uUb8a4R5oa6OmrHj6e3vR1rbKQGtEOjwoTli7yKF2a2ElgMHAL+CHzC3dsCrrsQWAXUAre7+4pcXl+JIx6Ge6QkTuprjPENdVl3c2jHxlD6hkT6bbk70eOie5iFzMajtQujCihXSCapXRKtHSHbxMtApoKIChu5y7N4UQf8ATgX2Ak8CfyNu28LuHY5acWLQY+9G/i8u78/0/2UK4qvfe1adt9ya+IISU1N/5GRvGUobIz/q7PZ/8tf0dPaWpTHVDwpnGIVL84HHnH3HjO7GcDdbxh0TS2JZPNeEufTngQ+4u7PZnt9JY74SO3CGMmRknKRvmNDvTn0DYkMsuXuRH+L4ezAAKiph9GHJY6UjJmUWEsdLzn+fHjhZ4ljKZkeG861+dxDhZYRUa6QXA0+7pFpB0W5UGEjd/nmCjO7iETvilrg3939a2b2KQB3/7aZHQVsILGzog/YD8x19zfSXuPdqHgRO3nvxIghHW/JT1GKF4Nu8AHgg+7+t4PWc97mNZgSR3ylHylJfdNfLdJ3c1RyMUPfkEigke7CKAvJbNZ4dOaih4ocAyhXyEhVwq6MTEZ6hKVSix7KFZJJ+k4Ma2yEjg68u7yLm7nuAtGOjaFKUbxYC/zI3X8waP2DwIXufmXy848Bf+nuV4e8Tnqn37e/+uqrBYlPiid9V8ZwmmumP1bOuzkqtceG3mRIqP5dGMlv7A/th95DUUdVOiPdTVKhRY9C54piHklVroinYvTGKGfpRY9KKmbofYUMR38xo6UFzCDGfRoLqW76dB1TIY/ihZk9BAQN7v6iu9+fvOaLQBNwmQ96QTP7EHDBoOLFGe7+99mCVuKoLoOPpgx32kgcdoGMqa/lG5edWhEFDL3JkJyN9EhJtUkvelRQMaMIxYuiHUlVroiv9CMl6TsTgnZlhO1oqJSjKIM11Daw/J3Ly76AofcVMlIVuSujwCrtmErRdl6Y2RXAp4Bz3f1AwOM6NiIlE4feHLVm9LmXfYNQvcmQYavoIyVFUCFTWYqZKwp9JFW5ojwNLmxk2omQaYzqSKaNxKUgUmM1uHtZHzHR+woplMHFjNTOhKovbKQdUyn3XRnFath5IfDPwF+5+56Qa3LuDjyYEofkK5fdHFHt2Ij7cRO9yZARqfYjJSNR5j02ily8KMiR1BTlChmJsIJIHAob5dQwVO8rpBTCChtFnzYS4+Mt2Y6ixLHIUazixYvAaGBvcul37v4pM5tO4vzpRcnrhnQHzuX1lTikVHLt21Gs3RyZRrpGVdjQmwwpiMHFDIjhtJEdEPmhswwy9djIVNgo1J99luLJSHJFKY+kqpeWFFO5FDbiUMzQ+wqpdGV7vCWGOzaK3rCzGJQ4JI5KPWklU2Fj8FGUXJul5lIU0ZsMqSrp3+hn+uY+brtJwgobhYwzy/GWYuSKYh1JVa6QUhrJEZZSFD2mjZs2oiM0+U5J0fsKqTY57QIp4x0bI30sl+KIihciRZC+Y6PGjN4Y/3saLFtzUb3JEAkxkh0NcSt6DFfj0XDt1sCHitCws2hHUpUrpBykFz3MjD7vizqknGRrLKr3FSLB0osclXBMJRtraGDaP9yUsYCh4oVIkd23aSfL7n2Gzu7eqEPJ2YyJY/jN0nMCH9ObDJECK+upLAbL24IfKXzxomhHUpUrpNyU2xjZaeOm8bMP/izwMb2vECmssj2mQmJXx/GPPBz6eFi+qCtqVCJVJLWDIa4NQoO0tJVuKoSZrQQWA4eAPwKfcPe2gOsuBFaR+IbkdndfUbIgRYpp3ocTH+U4laVxZslu5e5vC1lvAS5K+/xB4MFSxSUShdQuhrj21RhsV8euqEMQqRqNixcP2L3QX8wog10ZPa1Dx2DnQsULkQK6dMGMnJprxmGkK8D0iWNKebufA8vcvcfMbgaWATekX2BmtcBtwHuBZuBJM/uJuz9bykBFiirVO6JcemzUj0k07RSRSCyavWjYo2GjKmwcNS6oD6+IlEJ6MSPXoyhR7diomzZtZM8rcBwikoPBRY6wka7FLGyMqa/lugtOLPjrhnH39H2kvwM+GHDZGcCL7v4SgJndBVwCqHghlSW1CyMXYT02shU2Mk0pKeC0ERGJTi6FjdaOkf2Ec7gaahtYcvqSktxLRDIbvCsjk1Lv2LCGBo649poRPVfFC5EYyLRjI6ywUexpI0X2/wI/ClifAaQ3BGgG/jLoBQaNPyx0fCLxkanQkal5qIoOIlUtvbCRvkMjn4ki+UwbEZF4GsmOjWJPGwmj4oVIzOV6FCUOzOwhIGjP6Bfd/f7kNV8EeoAfBr1EwFpg+dfdVwOrIdFYa0QBi5S74ezgEJGqlWmHhohIynB2bERBxQsRKRh3Py/T42Z2BfB+4FwPHnXUDByd9vlMoKVwEYqIiIiISDmqiToAEakOySkiNwAXu/uBkMueBI43s1lmNgq4HPhJqWIUEREREZF4UvFCRErl/wKHAT83s81m9m0AM5tuZg8CuHsPcDWwHtgO3O3u26IKWERERERE4sGCd27Hg5ntAV4NeOhw4LUShxMmTrFAvOJRLMHKJZa/cPeppQxmpDLkCiifP+9SUyzBFEsw5YrSUizBFEu4OMUTFotyReEplnBxikexBBv2e4tYFy/CmNkGd2+KOg6IVywQr3gUSzDFUlpx+hoVSzDFEkyxlFacvkbFEkyxhItTPHGKpRji9PUplnBxikexBBtJLDo2IiIiIiIiIiKxpuKFiIiIiIiIiMRauRYvVkcdQJo4xQLxikexBFMspRWnr1GxBFMswRRLacXpa1QswRRLuDjFE6dYiiFOX59iCReneBRLsGHHUpY9L0RERERERESkepTrzgsRERERERERqRIqXoiIiIiIiIhIrJVd8cLMLjSz583sRTNbWuJ7/7uZ7TazrWlrk83s52b2QvLXSSWK5Wgz+4WZbTezbWa2JKp4zKzBzH5vZk8nY/lqVLGkxVRrZpvM7IEoYzGzV8zsGTPbbGYbIo5lopndY2bPJf/eLIzyv1GxKVf031e5InNMscgVyXsrX0QgylyRvH8s8kWcckXyvrHKF8oVobFUTa4AvbdIu29s8kXcckXy3rHIF5WYK8qqeGFmtcBtwPuAucBHzGxuCUP4PnDhoLWlwMPufjzwcPLzUugBPufuJwHvAD6T/LOIIp6DwDnufhowH7jQzN4RUSwpS4DtaZ9HGct73H1+2hzjqGJZBfzU3ecAp5H484nyz6VolCsGUK7ILE65ApQvSioGuQLiky/ilCsgfvlCuSJYVeQKiEW++D7xyBUQr3wRt1wB8coXlZUr3L1sPoCFwPq0z5cBy0ocw7HA1rTPnwemJX8/DXg+oj+b+4H3Rh0PMBbYCPxlVLEAM5P/AM4BHojyvxPwCnD4oLWSxwJMAF4m2aQ3ylhK9OeuXBEel3LFWzHEJlck76d8UeKPOOSK5H1jly/ikiuS9400XyhXhMZRNbki+bVEni/imCuS945Fvog6VyTvFZt8UYm5oqx2XgAzgB1pnzcn16J0pLu3AiR/PaLUAZjZscAC4Imo4kluj9oM7AZ+7u6RxQLcClwP9KWtRRWLAz8zs6fM7KoIY5kN7AG+l9zGdruZjYsollJQrgigXDHErcQnV4DyRRTimCsg4j/rOOSKZBxxyRe3olwRpJpyBcQzX0T+Zx2HfBGjXAHxyhcVlyvKrXhhAWtVPevVzMYDPwaucfc3oorD3XvdfT6JauMZZnZKFHGY2fuB3e7+VBT3D3Cmu59OYovhZ8zs7IjiqANOB/7N3RcAHVTINs4QyhWDKFcMFMNcAcoXUVCuGCQuuQLikS+UKzKqplwByhdDxCVfxCFXQCzzRcXlinIrXjQDR6d9PhNoiSiWlD+b2TSA5K+7S3VjM6snkTB+6O73Rh0PgLu3AY+SOJMXRSxnAheb2SvAXcA5ZvaDiGLB3VuSv+4G1gBnRBRLM9CcrEQD3EMiiUT696WIlCvSKFcEilWuAOWLiMQxV0BEf9ZxzBUQeb5QrghXTbkC4pkv9N4ijd5bDFSJuaLcihdPAseb2SwzGwVcDvwk4ph+AlyR/P0VJM58FZ2ZGfBdYLu7/3OU8ZjZVDObmPz9GOA84LkoYnH3Ze4+092PJfH34xF3/2gUsZjZODM7LPV74HxgaxSxuPsuYIeZnZhcOhd4NopYSkS5Ikm5IliccgUoX0QojrkCovn3GZtckYwnFvlCuSJcleUKiGe+0HuLmOQKiFe+qNhcka0pRtw+gIuAPwB/BL5Y4nvfCbQC3SQqSH8HTCHRlOWF5K+TSxTLu0hsVdsCbE5+XBRFPMA8YFMylq3Ajcn1SP5s0uJ6N281yoniz2U28HTyY1vq72uEf2fmAxuS/53uAyZF/d+oyF+vcoUrV+QYV6S5Inlf5YuIPqLMFcn7xyJfxClXJOOJXb5QrgiMp2pyRfLr1XsLj1e+iGOuSN4/0nxRqbnCki8mIiIiIiIiIhJL5XZsRERERERERESqjIoXIiIiIiIiIhJrKl6IiIiIiIiISKypeCEiIiIiIiIisabihYiIiIiIiIjEmooXIiIiIiIiIhJrKl6IiIiIiIiISKz9/7IU1PH39hXuAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "select_p(train_df)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We select $p=30$. We finally fit our VAR model and test for Granger Causality." + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "p = 30\n", + "model = VAR(train_df)\n", + "var_model = model.fit(p)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, "metadata": {}, "outputs": [ { @@ -1649,27 +3991,38 @@ "T (degC)_y 0.0 1.0" ] }, - "execution_count": 107, + "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "o" + "granger_causation_matrix(train_df, train_df.columns, p) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We observe that p \"causes\" T, but not the other way around." + "**Recall:** If a given p-value is < significance level (0.05), then, the corresponding X series (column) causes the Y (row)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Causality will be revisited in a later chapter, in particular addressing the limitations of the method discussed in this chapter." + "**Result:** For this particular example, we can say that changes in pressure Granger causes changes in temperature. Conversely, changes in temperature also Granger causes pressure. This is another example of feedback. This means that pressure data improves changes in temperature prediction performance, and temperature data also improves pressure prediction performance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Summary\n", + "\n", + "We have introduced the notion of causality in this chapter, and discussed its implications on time series analysis. We also applied the Granger Causality Test for linear VAR models for several datasets, seeing different examples of causality between the variables explored.\n", + "\n", + "Causality will be revisited in a later chapter, in particular addressing the limitations of the method discussed in this chapter and discussing causality for nonlinear models." ] }, { diff --git a/_build/.doctrees/00_Introduction/00_Introduction.doctree b/_build/.doctrees/00_Introduction/00_Introduction.doctree index adeef7492887a1bc7f35dee32be8d9f4dda0dc78..24547625a28e17f90a5a2e60b71b57f26dc06113 100644 GIT binary patch literal 491301 zcmeFa>#yu;dMA{bbkgZgG8v*w2SE?4Nfh-yard^%cQ+)#Rkq8nn=e)6ayjWa_*%Bh zxANVVMhY4(BedbmoIyew_%IS*kp?8hMSLMhNJ#JjiLZcK;tTu%NJt2tT6?dx*E!wi zoV_zWk!I+vUA1c2@B8|Fp7(j5%kO#KT7UYDzxVHrf9V(Q|K9vYT}E*}ymov)FZ`hX z?9H$Eh1X_5-hB3VKl|ig`|NLh_Ug^IDyOfDw(^3{-uwcz@S-^Nt04dEN1wgCd9{d~vI(jO?1vA$-#NJ# z_z#CT3m*1C6$kYLpF8PT$Mt9TF<^*q9D?CKw~y%gZ+!MhNAyb{(dW%CmkyBFd=~vP 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