{
"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",
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"ADF: -2.372305673971571\n",
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"Nobs: 125\n",
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