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Modeling and Multivariate Methods - SAS

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Chapter 14<br />

Performing Time Series Analysis<br />

Using the Time Series Platform<br />

The Time Series platform lets you explore, analyze, <strong>and</strong> forecast univariate time series. A time series is a set<br />

y 1 , y 2 ,...,y N of observations taken over a series of equally-spaced time periods. The analysis begins with a<br />

plot of the points in the time series. In addition, the platform displays graphs of the autocorrelations <strong>and</strong><br />

partial autocorrelations of the series. These indicate how <strong>and</strong> to what degree each point in the series is<br />

correlated with earlier values in the series. You can interactively add:<br />

Variograms<br />

a characterization of process disturbances<br />

AR coefficients<br />

autoregressive coefficients<br />

Spectral Density Plots<br />

versus period <strong>and</strong> frequency, with white noise tests.<br />

These graphs can be used to identify the type of model appropriate for describing <strong>and</strong> predicting<br />

(forecasting) the evolution of the time series. The model types include:<br />

ARIMA<br />

autoregressive integrated moving-average, often called Box-Jenkins models<br />

Seasonal ARIMA<br />

ARIMA models with a seasonal component<br />

Smoothing Models<br />

several forms of exponential smoothing <strong>and</strong> Winter’s method<br />

Transfer Function Models<br />

for modeling with input series.

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