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Modeling and Multivariate Methods - SAS

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64 Fitting St<strong>and</strong>ard Least Squares Models Chapter 3<br />

Estimates<br />

Table 3.7 Description of the Lack of Fit Report (Continued)<br />

Mean Square<br />

F Ratio<br />

Prob > F<br />

Max RSq<br />

Shows the mean square for the source, which is the SS divided by the DF.<br />

Shows the ratio of the Mean Square for the Lack of Fit to the Mean Square<br />

for Pure Error. It tests the hypothesis that the lack of fit error is zero.<br />

Lists the p-value for the Lack of Fit test. A small p-value indicates a<br />

significant lack of fit.<br />

Lists the maximum R 2 that can be achieved by a model using only the<br />

variables in the model. Because Pure Error is invariant to the form of the<br />

model <strong>and</strong> is the minimum possible variance, Max RSq is calculated as<br />

follows:<br />

1 –<br />

SS(Pure --------------------------------- Error)<br />

SS(Total)<br />

Estimates<br />

Estimates options provide additional reports <strong>and</strong> tests for the model parameters.<br />

Table 3.8 Description of Estimates Options<br />

Show Prediction<br />

Expression<br />

Sorted Estimates<br />

Exp<strong>and</strong>ed Estimates<br />

Indicator<br />

Parameterization<br />

Estimates<br />

Sequential Tests<br />

Places the prediction expression in the report. See “Show Prediction<br />

Expression” on page 65.<br />

Produces a different version of the Parameter Estimates report that is more<br />

useful in screening situations. See “Sorted Estimates” on page 65.<br />

Use this option when there are categorical (nominal) terms in the model <strong>and</strong><br />

you want a full set of effect coefficients. See “Exp<strong>and</strong>ed Estimates” on<br />

page 66.<br />

Displays the estimates using the Indicator Variable parameterization. See<br />

“Indicator Parameterization Estimates” on page 68.<br />

Show the reduction in residual sum of squares as each effect is entered into<br />

the fit. See “Sequential Tests” on page 68.<br />

Custom Test Enables you to test a custom hypothesis. See “Custom Test” on page 68.<br />

Joint Factor Tests<br />

For each main effect in the model, JMP produces a joint test on all of the<br />

parameters involving that main effect. See “Joint Factor Tests” on page 70.<br />

Inverse Prediction Finds the value of x for a given y. See “Inverse Prediction” on page 70.

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