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Modeling and Multivariate Methods - SAS

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356 Performing Time Series Analysis Chapter 14<br />

Time Series Comm<strong>and</strong>s<br />

Partial Autocorrelation<br />

The Partial Autocorrelation comm<strong>and</strong> alternately hides or displays the graph of the sample partial<br />

autocorrelations. The plot on the right in Figure 14.3 shows the partial autocorrelation function for the<br />

Seriesg data. The solid blue lines represent ± 2 st<strong>and</strong>ard errors for approximate 95% confidence limits,<br />

where the st<strong>and</strong>ard error is computed:<br />

SE k<br />

=<br />

1<br />

------<br />

n<br />

for all k<br />

Figure 14.3 Autocorrelation <strong>and</strong> Partial Correlation Plots<br />

Variogram<br />

The Variogram comm<strong>and</strong> alternately displays or hides the graph of the variogram. The variogram measures<br />

the variance of the differences of points k lags apart <strong>and</strong> compares it to that for points one lag apart. The<br />

variogram is computed from the autocorrelations as<br />

1 – r k + 1<br />

V k<br />

= ---------------------<br />

1 – r 1<br />

where r k is the autocorrelation at lag k. The plot on the left in Figure 14.4 shows the Variogram graph for<br />

the Seriesg data.

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