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Modeling and Multivariate Methods - SAS

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374 Performing Time Series Analysis Chapter 14<br />

Transfer Functions<br />

Constrain Fit<br />

toggles constraining of the AR <strong>and</strong> MA coefficients.<br />

Forecast Periods specifies the number of forecasting periods for forecasting.<br />

Using the information from prewhitening, we specify the model as shown in Figure 14.14.<br />

Model Reports<br />

The analysis report is titled Transfer Function Model <strong>and</strong> is indexed sequentially. Results for the Series J<br />

example are shown in Figure 14.15.<br />

Figure 14.15 Series J Transfer Function Reports<br />

Model Summary<br />

gathers information that is useful for comparing models.<br />

Parameter Estimates shows the parameter estimates <strong>and</strong> is similar to the ARIMA version. In addition,<br />

the Variable column shows the correspondence between series names <strong>and</strong> parameters. The table is<br />

followed by the formula of the model. Note the notation B is for the backshift operator.<br />

Residuals, Iteration History<br />

are the same as their ARIMA counterparts.<br />

Interactive Forecasting provides a forecasting graph based on a specified confidence interval. The<br />

functionality changes based on the number entered in the Forecast Periods box.<br />

If the number of Forecast Periods is less than or equal to the Input Lag, the forecasting box shows the<br />

forecast for the number of periods. A confidence interval around the prediction is shown in blue, <strong>and</strong><br />

this confidence interval can be changed by entering a number in the Confidence Interval box above the<br />

graph.

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