{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from statsmodels.tsa import stattools\n", "from statsmodels.tsa.seasonal import seasonal_decompose\n", "import plotly.graph_objects as go\n", "from plotly.subplots import make_subplots" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "##########################################################################################\n", "\n", "def csv_to_df(input_filename):\n", " df = pd.read_csv(input_filename, usecols=['D', 'M', 'Y', 'CNT'])\n", " df[['D', 'M', 'Y']] = df[['D', 'M', 'Y']].astype(str)\n", " df['Date'] = df['D'] + '-' + df['M'] + '-' + df['Y']\n", " df = df[['Date', 'CNT']]\n", " df['Date'] = pd.to_datetime(df['Date'], format='%d-%m-%Y')\n", " df.sort_values(by='Date', inplace=True)\n", " df['WDN'] = df['Date'].apply(lambda x: pd.Timestamp.weekday(x))\n", " df.set_index('Date', inplace=True)\n", " return df\n", "\n", "##########################################################################################\n", "# Weekend start/end: 0 - Sunday, 5- Friday\n", "\n", "\n", "def ws(df):\n", " wknd_start = df[df['WDN'] == 5].index\n", " wknd_end = df[df['WDN'] == 0].index\n", " return zip(wknd_start, wknd_end)\n", "\n", "###########################################################################################\n", "# Highlighted weekends\n", "\n", "\n", "def highlight_wknds(w, wknds_highlight_color):\n", " shapes_list = [dict(\n", " type='rect',\n", " xref='x',\n", " yref='paper',\n", " x0=u[0],\n", " y0=0,\n", " x1=u[1],\n", " y1=1,\n", " fillcolor=wknds_highlight_color,\n", " opacity=0.5,\n", " layer='below',\n", " line_width=0,) for u in w]\n", " return shapes_list\n", "\n", "###########################################################################################\n", "# Plot TS and highligt weekends\n", "\n", "\n", "def plot_ts(df, title_text):\n", " w = ws(df)\n", " shapes_list = highlight_wknds(w, wknds_highlight_color='lightskyblue')\n", " # Plot TS, add highlighted weekends\n", " fig = go.Figure()\n", " fig.add_trace(go.Scatter(x=df.index, y=df['CNT'], line_color='blue'))\n", " fig.update_layout(shapes=shapes_list, autosize=False,\n", " width=1800, height=450)\n", " fig.update_xaxes(\n", " tickangle=-90,\n", " title_text=\"Date\",\n", " title_font={\"size\": 12},\n", " title_standoff=25,\n", " nticks=df.shape[0])\n", " fig.update_yaxes(\n", " title_text=title_text,\n", " title_font={\"size\": 12},\n", " title_standoff=25)\n", " fig.update_layout(xaxis_rangeslider_visible=True)\n", " fig.show()\n", "\n", "###########################################################################################\n", "# Plot ACF\n", "\n", "\n", "def plot_acf(df, alpha):\n", " nlags = df.shape[0] - 1\n", " acf, confint = stattools.acf(\n", " df['CNT'].values, nlags=nlags, qstat=False, fft=False,\n", " alpha=alpha, missing='none')\n", "\n", " # Y-coordinates for highlighting CI zone\n", " y_pos = [abs(i - j)/2 if (i >= 0 and j >= 0)\n", " else (abs(i) + abs(j))/2 for i, j in confint[1:]]\n", " lags = np.arange(0, df.shape[0], 1, dtype=int)\n", " fig = go.Figure()\n", " fig.update_layout(width=900, height=450)\n", " fig.update_xaxes(\n", " tickangle=-90,\n", " title_text=\"Lag\",\n", " title_font={\"size\": 12},\n", " title_standoff=25,\n", " nticks=32)\n", " fig.update_yaxes(\n", " title_text=\"Autocorrelation\",\n", " title_font={\"size\": 12},\n", " title_standoff=25,\n", " nticks=10)\n", " fig.add_trace(go.Scatter(x=lags[1:], y=y_pos,\n", " fill='tozeroy',\n", " fillcolor='rgba(135, 206, 250, 0.5)',\n", " line_color='rgba(135, 206, 250, 0.5)',\n", " showlegend=False,\n", " name='CI'\n", " ))\n", " fig.add_trace(go.Scatter(x=lags[1:], y=[-i for i in y_pos],\n", " fill='tozeroy',\n", " fillcolor='rgba(135, 206, 250, 0.5)',\n", " line_color='rgba(135, 206, 250, 0.5)',\n", " showlegend=False,\n", " name='CI'))\n", " fig.add_trace(go.Scatter(x=lags, y=acf,\n", " mode='markers', line_color='blue',\n", " name='Autocorr'))\n", " for X0, Y0, Y1 in zip(lags, np.array([0]*len(acf)), acf):\n", " fig.add_shape(type=\"line\",\n", " x0=X0, y0=Y0, x1=X0, y1=Y1,\n", " line=dict(color=\"Blue\", width=1.5))\n", " # Add zero line\n", " fig.add_shape(type=\"line\",\n", " x0=0, y0=0, x1=len(lags), y1=0,\n", " line=dict(color=\"Blue\", width=1))\n", " fig.show()\n", "\n", "###########################################################################################\n", "# Plot TS decomposition\n", "\n", "\n", "def plot_ts_decomp(df, model, period):\n", " subplot_titles = [\"Observed\", \"Trend\", \"Seasonality\", \"Residuals\"]\n", " d = seasonal_decompose(df['CNT'],\n", " model=model, period=period)\n", "\n", " l = [d.observed, d.trend, d.seasonal, d.resid]\n", " fig = make_subplots(rows=len(l), cols=1,\n", " subplot_titles=subplot_titles)\n", "\n", " for r, (k, v) in enumerate(zip(subplot_titles, l), start=1):\n", " x = v.index[np.logical_not(\n", " np.isnan(v.values))]\n", " y = v.values[np.logical_not(\n", " np.isnan(v.values))]\n", "\n", " fig.append_trace(go.Scatter(\n", " x=x,\n", " y=y,\n", " name=k), row=r, col=1)\n", "\n", " fig.update_layout(height=1000, width=750,\n", " title_text=\"Time series decomposition\")\n", "\n", " fig.show()\n", "\n", "###########################################################################################\n", "# ADF test\n", "\n", "\n", "def calc_adf(x, a):\n", " ar = stattools.adfuller(x, autolag=a)\n", " res = ['ADF', 'p-value', 'Used Lag', 'Nobs', 'Critical Values',\n", " 'ICbest']\n", " d = dict(zip(res, ar))\n", " print('\\n'.join([f'{i}: {j}' if i != 'Critical Values'\n", " else f'{i}:\\n'+'\\n'.join([f' {p}: {q}'\n", " for p, q in d[i].items()])\n", " for i, j in d.items()]))\n", "\n", "###########################################################################################\n", "# KPSS test\n", "\n", "\n", "def calc_kpss(x, n):\n", " kp = stattools.kpss(x, nlags=n)\n", " res = ['statistic', 'p_value', 'n_lags', 'critical_values']\n", " d = dict(zip(res, kp))\n", " print('\\n'.join([f'{i}: {j}' if i != 'critical_values'\n", " else 'Critical Values:\\n'+'\\n'.join([f' {p}: {q}'\n", " for p, q in d[i].items()])\n", " for i, j in d.items()]))\n", "\n", "###########################################################################################\n", "# Histogram\n", "\n", "\n", "def plot_msgsz(df, x_scale):\n", " if ('MN' not in df.columns) or ('MSGSZ'not in df.columns):\n", " raise Exception('Wrong DF!')\n", " else:\n", " months = [m for m in df['MN'].unique()]\n", " colors = ['blue', 'yellow', 'red', 'green', 'magenta']\n", " scale = ['lin', 'log10']\n", " fig = go.Figure()\n", " if x_scale not in scale:\n", " raise Exception('Wrong x-scale!')\n", " d = dict(zip(months, colors))\n", " for m, c in d.items():\n", " x = [np.log10(y) if (y > 0) & (x_scale == 'log10') else 0\n", " if (y <= 0) & (x_scale == 'log10') else y\n", " if x_scale == 'lin' else -1\n", " for y in df[df['MN'] == m]['MSGSZ'].values]\n", "\n", " fig.add_trace(go.Histogram(\n", " x=x,\n", " name=m,\n", " marker_color=c))\n", "\n", " # Overlay the histograms\n", " fig.update_layout(barmode='overlay',\n", " bargap=0.2,\n", " bargroupgap=0.1)\n", " # Reduce opacity to see all the histograms\n", " fig.update_traces(opacity=0.85)\n", " fig.show()\n", "\n", "###########################################################################################\n", "# Boxplot\n", "\n", "\n", "def plot_box(df):\n", " fig = go.Figure()\n", " fig.update_layout(width=1200, height=900)\n", " for m in df_msgsz[['M', 'MN']].sort_values(by='M')['MN'].unique():\n", " fig.add_trace(\n", " go.Box(y=df_msgsz[df_msgsz['MN'] == m]['MSGSZ'],\n", " name=m,\n", " boxpoints='all',\n", " jitter=0.5,\n", " pointpos=-1.8))\n", " fig.show()\n", "###########################################################################################" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "input_filename = './Regions/R2_msgcnt.csv'\n", "df_msgcnt = csv_to_df(input_filename)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CNTWDN
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meanmedianmax
MMN
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