{ "metadata": { "name": "", "signature": "sha256:dbd3f59b0f4d3f18e0dcbb3ad1d8d60984a55cd58f3d52c171d7636ea2817884" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%%html\n", "" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Time Series Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Objectives\n", "* Understand the structure of time series data\n", "* Techniques to Acquire, Explore and Visualize time series data\n", "* Analyze and Model\n", "* Introduction to statsmodels time series analysis modules.\n", "\n", "### Code Dictionary\n", "\n", "code | description \n", "-----|------------ \n", "`web.DataReader` | extracts data from various Internet sources\n", "`pd.rolling_mean` | computes a moving average\n", "`tsa.plot_acf` | plot the autocorrelation function" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Class Notes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What is Time series data?\n", "\n", "The only reason for time is so that everything doesn\u2019t happen at once. \u2014 Albert Einstein \n", "\n", "Measurements are performed over time and these observations lead to a collection of organized data called time series. This data is *indexed* by date and/or timestamp. This is an important form of structured data in many different fields, such\n", "as finance, economics, ecology, neuroscience, or physics\n", "Examples: Prices of stocks, the weekly output of a manufacturing plant, the monthly number of traffic tickets or Nancy's [voice](https://www.youtube.com/watch?v=6gaq5-t14FE) as she grows up.\n", "\n", "* Time series include:\n", " * _Timestamps_, specific instants in time\n", " * _Fixed periods_, i.e. the month of February 2015\n", " * _Intervals_, indicated by a start and end timestamp.\n", " * _Elapsed Time_, A measure relative to a given start time.\n", "\n", "### Time series data vs Cross sectional data\n", "Cross sectional data is a snapshot in time of a group of data. Eg: the Iris, Wine or the Cars data set." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Acquire Time series data\n", "Let's explore a few different methods to download or import time series data. \n", "- URL method using Pandas\n", "- APIs - Yahoo Finance, Quandl, Google Finance \n", "The python datetime module: https://docs.python.org/2/library/datetime.html \n", "Pandas documentation to work with dates and timestamps: http://pandas.pydata.org/pandas-docs/stable/timeseries.html" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "pd.set_option('display.mpl_style', 'default') # This just produces pretty plots\n", "plt.rcParams['figure.figsize'] = (20, 10) # Set default figure size values for the entire notebook" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Pandas URL method \n", "# target URL: http://www.quandl.com/api/v1/datasets/YAHOO/INDEX_GSPC.csv?trim_start=2007-01-01&trim_end=2015-02-02\n", "# Generate the URL string\n", "\n", "url = \"http://www.quandl.com/api/v1/datasets/YAHOO/\"\n", "url += \"INDEX_GSPC\"\n", "url += \".csv?trim_start=%s-%s-%s&trim_end=%s-%s-%s\" % ('2007', '01', '01', '2015', '02', '02')\n", "\n", "sp500 = pd.read_csv(url, parse_dates = ['Date'], dayfirst = True, index_col = 'Date')\n", "\n", "# parse_dates: This will parse the \"Date\" column as a datetime object instead of an object string\n", "# index_col: Instead of creating a default index column, Use the \"Date\" column as an index\n", "# dayfirst: Use DD/MM format, Default uses the MM/DD format " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "sp500.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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OpenHighLowCloseVolumeAdjusted Close
Date
2015-02-02 1996.67 2021.66 1980.90 2020.85 4008330000 2020.85
2015-01-30 2019.35 2023.32 1993.38 1994.99 4538650000 1994.99
2015-01-29 2002.45 2024.64 1989.18 2021.25 4127140000 2021.25
2015-01-28 2032.34 2042.49 2001.49 2002.16 4067530000 2002.16
2015-01-27 2047.86 2047.86 2019.91 2029.55 3329810000 2029.55
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ " Open High Low Close Volume Adjusted Close\n", "Date \n", "2015-02-02 1996.67 2021.66 1980.90 2020.85 4008330000 2020.85\n", "2015-01-30 2019.35 2023.32 1993.38 1994.99 4538650000 1994.99\n", "2015-01-29 2002.45 2024.64 1989.18 2021.25 4127140000 2021.25\n", "2015-01-28 2032.34 2042.49 2001.49 2002.16 4067530000 2002.16\n", "2015-01-27 2047.86 2047.86 2019.91 2029.55 3329810000 2029.55" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas.io.data as web" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# This is the Pandas Remote Data Access module. It supports various Data Sources - Yahoo! Finance, Google Finance\n", "# St.Louis FED (FRED), Kenneth French\u2019s data library, World Bank, Google Analytics\n", "# \n", "\n", "spc = web.DataReader(name = \"^GSPC\", data_source = 'yahoo', start = '2007-1-1', end = '2015-2-2')\n", "#spc.to_csv(\"SP500.csv\") # Function to save a data frame for offline analysis \n", "spc.tail()" ], "language": "python", "metadata": {}, "outputs": [ { "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", " \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", "
OpenHighLowCloseVolumeAdj Close
Date
2015-01-27 2047.86 2047.86 2019.91 2029.55 3329810000 2029.55
2015-01-28 2032.34 2042.49 2001.49 2002.16 4067530000 2002.16
2015-01-29 2002.45 2024.64 1989.18 2021.25 4127140000 2021.25
2015-01-30 2019.35 2023.32 1993.38 1994.99 4538650000 1994.99
2015-02-02 1996.67 2021.66 1980.90 2020.85 4008330000 2020.85
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2015-01-27 2047.86 2047.86 2019.91 2029.55 3329810000 2029.55\n", "2015-01-28 2032.34 2042.49 2001.49 2002.16 4067530000 2002.16\n", "2015-01-29 2002.45 2024.64 1989.18 2021.25 4127140000 2021.25\n", "2015-01-30 2019.35 2023.32 1993.38 1994.99 4538650000 1994.99\n", "2015-02-02 1996.67 2021.66 1980.90 2020.85 4008330000 2020.85" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Random Walk : Generate your own time series\n", "A purely random process is one in which $x_t = z_t$, where $\\{z_t\\}$ are i.i.d. We could choose any distribution. \n", "Lets choose $\\\\N({0},{\\sigma^2})$, also called white noise.\n", "Also known as Brownian motion, this is one of the simplest time series:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 1000\n", "z = np.random.randn(N)\n", "walk = np.zeros(N)\n", "\n", "for i in np.arange(1, N, 1):\n", " walk[i] = walk[i - 1] + z[i]\n", "plt.plot(walk)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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EsiwFvB4VKjXN5srqDja6fvZ1+TWaKOrW3tCG33MuV9avPXVG7z7YpUKlqi/9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\nXtdMZelTx4b148NDSuRKCnmoMALOt2BE9Pf366mnn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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Your turn to download and explore the data\n", "Look at [Quandl](https://www.quandl.com/) and Download any data set of your choice. \n", "Example AAPL stock quote: https://www.quandl.com/GOOG/NASDAQ_AAPL-Apple-Inc-AAPL " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Computing Rolling Statistics\n", "Instead of computing a single column-wise `mean()` or `sum()`, what if we were to look at a small subset of values within this column. Analyze the data points by creating a new series. This is similar to applying FIR filter (signal processing: Finite impulse response) on the signal. The random component of a time series are called as Shocks. eg: The crash in late 2008." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Compute rolling statistics\n", "spc['MA42'] = pd.rolling_mean(spc['Open'], window = 42, min_periods = 30)\n", "spc['MA252'] = pd.rolling_mean(spc['Open'], window = 252, min_periods = 30)\n", "spc[['Open', 'MA252', 'MA42']].plot()\n", "plt.legend([\"Actual\", \"Long term\", \"Short term\"])\n", "plt.title('Trends in the SP500 data', fontsize = 20)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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X21ZQUAC9Xo/Vq1cDAPR6PfLz8+0/39zOwhARERERERERUd2rtDB05MgRBAcHo3HjxuW2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RKiUzA1LpC/fl/ENRMi8VfJsTvdKHvpSrbjxr/gNJmZ/PFzPotPQ43L6WLn5jL25FRhaLUw74IM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H2cCailbCqspEfzNfXf0DWrfuYtR3b6fgruuHbL6PxaDDpNfh9Id4bHkFQLcZSMMtGAhhKm1g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\nyX6P8QdD8rockWMRH5hPYIKcwAQ5gQlyAhP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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "####Explore the `rolling_std()` and `rolling_median()` functions and plot them\n", "Documentation: http://pandas.pydata.org/pandas-docs/stable/computation.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Seasonality and Trends\n", "Let us further explore trends in Time series data. Google breaks down search traffic according to economic sectors on a yearly basis. Let us take the example of the [Google Rental Index](https://www.google.com/finance?q=GOOGLEINDEX_US%3ARENTAL&ei=SjTYVODIB4698QabxYCABA) for New York City. The data clearly shows seasonal variations. \n", "\n", "Why is it important to study seasonality? eg: How does the quality of the computers produced vary systematically over the days of the week? \n", "\n", "Similarly, Trends identify the underlying tendencies in the data over a period of time. By using trend estimation it is possible to construct a model which is independent of anything known about the nature of the process of an incompletely understood system (for example, physical, economic, or other system). (src: wikipedia)\n", "\n", "Once they have been identified, the data is de-seasonalized and de-trended to study the effect of other components such as cyclical and irregular variations. \n", "The Google Domestic Trends are very well curated. You can play with the data offline, by downloading the csv. As an example of irregular or anomalous behaviour, Check: [Google Bankruptcy Index](https://www.google.com/finance?q=GOOGLEINDEX_US%3ABNKRPT&ei=_znYVJjfMZOHsgeHv4G4Cg)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "url = \"https://www.google.com/finance/historical?q=GOOGLEINDEX_US:RENTAL\\\n", "&output=csv&startdate=20080101&ei=_znYVJjfMZOHsgeHv4G4Cg\"\n", "\n", "r = pd.read_csv(url, parse_dates = [0], index_col = 0)\n", "r.Close.plot()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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03WLptwe++6fW4h03r6n5np/QmTMdjMjV+8ukZZwtGJVYqxdMBBUMG5kms4R6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w0c2L+v4futRSBWaWTSJb8UrU0VV7e9wesGYlg3EMNbLxuo+joipx3sNTCX1/BH168GxzJYV6Fw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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some important questions to first consider when first looking at a time series are:\n", "\n", "* Is there a trend, meaning that, on average, the measurements tend to increase (or decrease) over time?\n", "* Is there seasonality, meaning that there is a regularly repeating pattern of highs and lows related to calendar time such as seasons,months, days and so on?\n", "* Are their outliers? In regression, outliers are far away from your line. With time series data, your outliers are far away from your other data.\n", "* Is there a long-run cycle or period unrelated to seasonality factors?\n", "* Is there constant varianceover time, or is the variance non-constant?\n", "* Are there any abrupt changes to either the level of the series or the variance?\n", "\n", "###Visualizing the Time Series as a Correlation Matrix" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import datetime as dt\n", "\n", "# get_data_yahoo() API gets data from yahoo finance directly. \n", "df = web.get_data_yahoo(\n", " ['AAPL', 'GE', 'IBM', 'KO', 'MSFT', 'PEP'], \n", " start = dt.datetime(2010, 1, 1), \n", " end = dt.datetime(2013, 1, 1))['Adj Close']\n", "df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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AAPLGEIBMKOMSFTPEP
Date
2010-01-04 28.84 13.10 119.53 24.67 27.14 52.81
2010-01-05 28.89 13.16 118.09 24.37 27.14 53.45
2010-01-06 28.43 13.10 117.32 24.36 26.98 52.92
2010-01-07 28.38 13.77 116.92 24.30 26.70 52.58
2010-01-08 28.56 14.07 118.09 23.85 26.88 52.41
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ " AAPL GE IBM KO MSFT PEP\n", "Date \n", "2010-01-04 28.84 13.10 119.53 24.67 27.14 52.81\n", "2010-01-05 28.89 13.16 118.09 24.37 27.14 53.45\n", "2010-01-06 28.43 13.10 117.32 24.36 26.98 52.92\n", "2010-01-07 28.38 13.77 116.92 24.30 26.70 52.58\n", "2010-01-08 28.56 14.07 118.09 23.85 26.88 52.41" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "rets = df.pct_change() # Calculates Percent change over 1-day period. \n", "corr = rets.corr() # Computes pairwise correlation of columns\n", "plt.imshow(corr, cmap = 'Reds', interpolation = 'none') # Visualize the values in the entire data frame.\n", "plt.colorbar() \n", "plt.xticks(range(len(corr)), corr.columns)\n", "plt.yticks(range(len(corr)), corr.columns);\n", "plt.title(\"Correlation Matrix: Tech Stocks\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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sjybZHk2y20Ihu5tL2CQDAAAArRB1BoQm2R5Nsj2aZHs0yfZoku3RJLstWSeq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\nqtQQ71WgtyTnfxr0grL178Z7CUmHPtZ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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the API to download different stock tickers and see how the matrix changes. What does it mean, when 2 time series are highly correlated? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Visualizing the Time Series as a OHLC (candle stick) Chart\n", "[Bokeh](http://bokeh.pydata.org/en/latest/) is a Python interactive visualization library for browsers based presentation. It provides D3 style plots. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from math import pi\n", "from bokeh.plotting import *\n", "\n", "df = pd.DataFrame(sp500)[:50]\n", "\n", "mids = (df.Open + df.Close) / 2\n", "spans = abs(df.Close - df.Open)\n", "\n", "inc = df.Close > df.Open\n", "dec = df.Open > df.Close\n", "w = 12 * 60 * 60 * 1000 # sample 12 hours in ms\n", "output_notebook() # Load the Bokeh Java-Script interactive browser\n", "\n", "figure(x_axis_type=\"datetime\", width=1000, name=\"candlestick\",\n", " tools=\"pan,wheel_zoom,box_zoom,reset,previewsave\")\n", "\n", "hold()\n", "\n", "segment(df.index, df.High, df.index, df.Low, color='black')\n", "rect(df.index[inc], mids[inc], w, spans[inc], fill_color=\"#D5E1DD\", line_color=\"black\")\n", "rect(df.index[dec], mids[dec], w, spans[dec], fill_color=\"#F2583E\", line_color=\"black\")\n", "\n", "curplot().title = \"SP500 Candlestick\"\n", "xaxis().major_label_orientation = pi/4\n", "grid().grid_line_alpha = 0.3\n", "\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ " \n", " \n", " \n", " \n", "
\n", " \n", " BokehJS successfully loaded.\n", "
" ], "metadata": {}, "output_type": "display_data" }, { "html": [ "\n", "
\n", "\n" ], "metadata": {}, "output_type": "display_data" } ], "prompt_number": 12 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Time Series Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Intro to statsmodels tsa library**\n", "The Statsmodels library includes a dedicated time series analysis model classes, associated functions and custom plots. \n", "Documentation: http://statsmodels.sourceforge.net/devel/tsa.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random Variables, Stochastic Process, Stationarity:\n", "\n", "A **random variable** is a variable whose possible values are numerical outcomes each associated with a probability, of a random phenomenon. We express the likelihood function as the product over all data points of the probability distribution for each data point. Examples: \n", "* Outcomes of Roulette spin\n", "* Dice \n", "* Coin Flips\n", "* The normal distribution\n", "* Statistical tests of means of random variables (i.e. p-values, z-tests, tests about means of random)\n", "\n", "**I.I.Ds** are Independent Identically Distributed random variables; meaning they have the same probability distribution and are mutually independent random variables. \n", "\n", "A **Stochastic Process** contains a set/collection of such random variables observed over time. \n", "\n", "Many real world cases, we see a violation. Examples: \n", "* Weather: rain today might portend more rain tomorrow. \n", "* Language: Sequence of characters, or words even, in the English languages \n", "* Our DNA: Nucleotide base pairs\n", "* Financial returns\n", "\n", "**Inference: ** Going back to the difference between time series data and cross-sectional data - cross sectional data deals with only i.i.d observations while in time series each new arriving observation is stochastically depending on the previously observed. \n", "\n", "**Stationarity: ** Stationary series vary around a constant mean level, neither decreasing nor increasing systematically over time, with constant variance. Nonstationary series have systematic trends, such as linear, quadratic, and so on.\n", "Statistical properties such as mean, variance, autocorrelation, etc. are all constant over time. \n", "In the stationary case, the data evolves in time, but the distribution from which it is generated remains the same. For the more complex non-stationary situation, the generative distribution itself is evolving with time. \n", "*Stationary rule of thumb: ~= No predictable cycle, no predictable trend, returns to a baseline over time.*\n", "\n", "![](http://upload.wikimedia.org/wikipedia/en/e/e1/Stationarycomparison.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Autocorrelation\n", "\n", "Typically, in time series, there is some decay of correlation: $x_n$ and $x_{n+k}$ become more and more nearly independent as $k \\to \\infty$. We study this by the covariance or autocovariance defined above, or equivalently by the autocorrelation.\n", "\n", "Autocorrelation is the similarity between observations as a function of the time lag between them. It is a mathematical tool for finding repeating patterns, such as the presence of a periodic signal obscured by noise.\n", "\n", "![AutoCorrelation Equation](http://upload.wikimedia.org/math/3/7/c/37c9812eaf2deca258f5526ac9067aa2.png)\n", "\n", "X: Repeatable process\n", "i: point in time\n", "s: another point in time\n", "R(s,t) = Autocorrelation between times s and t\n", "\n", "![ACF Sine example](http://upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Acf_new.svg/217px-Acf_new.svg.png)\n", "Above: A plot of a series of 100 random numbers concealing a sine function. Below: The sine function revealed in a correlogram produced by autocorrelation.\n", "\n", "The auto correlation function (ACF) gives us the pattern of auto correlations in a time series at numerous lags. Computing the ACF & the partial AutoCorrelation function (PACF): Captures Trends and Seasonality in the data. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Autoregression\n", "\n", "The autoregressive model specifies that the output variable depends linearly on its own previous values. Example: The Random Walk data generated above. Most of the lags falling between the confidence intervals indicates that our model appropriately\n", "reflects the autoregressive nature of our data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import statsmodels.api as sm\n", "import statsmodels.graphics.tsaplots as tsa\n", "\n", "# Calculate Autocorrelation, Partial Auto Correlation and the Correlogram \n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(211)\n", "fig = tsa.plot_acf(walk, lags = 42, ax = ax1) \n", "ax2 = fig.add_subplot(212)\n", "fig = tsa.plot_pacf(walk, lags = 42, ax = ax2)\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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H5RAAAABAgSmHACqwPhryk2PITYYhPznOQTkE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\nAApMOQRQgfXRkJ8cQ24yDPnJcQ7KIQAAAIACUw4BVGB9NOQ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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###ARMA Forecasting Model\n", "The ARMA model contains 2 component, an Auto regressive and a Moving Average. The AR part indicates the number of terms in the model that describe the dependency among successive observations and the MA part indicates the number of terms that describe the persistence of a random shock from one observation to the next. Statsmodel [Documentation](http://statsmodels.sourceforge.net/devel/generated/statsmodels.tsa.arima_model.ARMA.html#statsmodels.tsa.arima_model.ARMA)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "arma_mod22 = sm.tsa.ARMA(walk, (2, 2)).fit()\n", "print(arma_mod22.summary())\n", "print \"Durbin Watson score: \", sm.stats.durbin_watson(arma_mod22.resid)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " ARMA Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 1000\n", "Model: ARMA(2, 2) Log Likelihood -1399.728\n", "Method: css-mle S.D. of innovations 0.978\n", "Date: Wed, 11 Feb 2015 AIC 2811.456\n", "Time: 17:40:23 BIC 2840.902\n", "Sample: 0 HQIC 2822.647\n", " \n", "==============================================================================\n", " coef std err z P>|z| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const -22.7585 8.729 -2.607 0.009 -39.867 -5.650\n", "ar.L1.y 0.3426 0.214 1.599 0.110 -0.077 0.762\n", "ar.L2.y 0.6528 0.213 3.058 0.002 0.234 1.071\n", "ma.L1.y 0.6851 0.215 3.190 0.001 0.264 1.106\n", "ma.L2.y -0.0255 0.036 -0.706 0.481 -0.096 0.045\n", " Roots \n", "=============================================================================\n", " Real Imaginary Modulus Frequency\n", "-----------------------------------------------------------------------------\n", "AR.1 1.0028 +0.0000j 1.0028 0.0000\n", "AR.2 -1.5276 +0.0000j 1.5276 0.5000\n", "MA.1 -1.3881 +0.0000j 1.3881 0.5000\n", "MA.2 28.3057 +0.0000j 28.3057 0.0000\n", "-----------------------------------------------------------------------------\n", "Durbin Watson score: 1.63240766947\n" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "from statsmodels.graphics.api import qqplot\n", "from scipy import stats\n", "\n", "resid = arma_mod22.resid\n", "print stats.normaltest(resid)\n", "fig = qqplot(resid, line = 'q', fit = True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1330.1486666846713, 1.4517337516309591e-289)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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a0JQ7i774xS/m6quvzn/9r/81n/3sZ/O7v/u7uf3220/E2aAy87lUJSuUkBeq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\nhbJWFIX1okJZK4rCelGhrBVFYb1oIBUP9gvedtttbN68mZK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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "# CPI Data set: Explore this data set in class\n", "# Plot and Compute the various statistics\n", "# Explain the Correlograms\n", "\n", "macrodta = sm.datasets.macrodata.load_pandas().data\n", "macrodta.index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n", "\n", "cpi = macrodta[\"infl\"]\n", "macrodta\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax = cpi.plot(ax = ax)\n", "ax.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ni1gYFoGIevE6RxQvnjmieDETiIhoDgnHxYXlXGSZQIbp9HSQLOW4ISxpz+/WB4ZCBy6u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\nTBIXZstc2CIiKipoE8VgBlobceWMb0gT6ox65jzPuxgdP+bMdM7M4+3bO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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "# Calculate Autocorrelation, Partial Auto Correlation and the Correlogram \n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(211)\n", "fig = sm.graphics.tsa.plot_acf(cpi, lags = 42, ax = ax1) \n", "ax2 = fig.add_subplot(212)\n", "fig = sm.graphics.tsa.plot_pacf(cpi, lags=42, ax = ax2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AiJeAa9Tm9euD9i69c6Z7Rs+rJ9r08nutOvpem177W7teP9mpt0971dzSpQ/a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\nkiJgsFgfDdiPOgbsRg0D9qO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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Review, next steps, practice\n", "* We've explored several different APIs to download and analyze time series data\n", "* Pandas re-indexing and re-sampling: http://nbviewer.ipython.org/github/changhiskhan/talks/blob/master/pydata2012/pandas_timeseries.ipynb\n", "* Explore the statsmodels examples for the ARMA process: http://nbviewer.ipython.org/github/statsmodels/statsmodels/blob/master/examples/notebooks/tsa_arma_1.ipynb\n", "* Understand the Correlograms. Look through the examples for White Noise, Weak ACF, Periodic ACF\n", "* This paper compares the various Data Mining & Machine Learning techniques applied to Time series: http://wiki.epfl.ch/edicpublic/documents/Candidacy%20exam/a12-esling%20time-series%20data%20mining.pdf\n", "* Great example of Anomaly detection in time series along with the R code from Twitter: https://blog.twitter.com/2015/introducing-practical-and-robust-anomaly-detection-in-a-time-series" ] } ], "metadata": {} } ] }