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Modeling and Multivariate Methods - SAS

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254 Performing Nonlinear Regression Chapter 9<br />

Nonlinear Fitting with Fit Curve<br />

Figure 9.7 Parallelism Test<br />

The report gives the following results:<br />

Test Results Gives the results of an F Test <strong>and</strong> a Chi-Square Test for parallelism. The F Test compares the<br />

error sums-of-squares for a full <strong>and</strong> a reduced model. The full model gives each group different<br />

parameters. The reduced model forces the groups to share every parameter except for the inflection<br />

point.<br />

Parallel Fit Parameter Estimates Gives the parameter estimates under the reduced model (same<br />

parameters, except for inflection point). A plot of the fitted curves under the reduced model is provided.<br />

Relative Potencies Gives the relative potencies. There is a report for each level of the grouping variable.<br />

The potency is EC 50 for logistic models, where EC 50 is the point at which the middle response value is<br />

obtained. For the Logistic 2P, 3P, <strong>and</strong> 4P, the potency is exp(inflection point parameter). The relative<br />

potency is the ratio of these potencies.<br />

Compare Parameter Estimates<br />

The Compare Parameter Estimates report gives results for testing the equality of parameters across the levels<br />

of the grouping variable. There is an Analysis of Means report for each parameter, which tests whether the<br />

parameters are equal to an overall mean. If the result for a parameter exceeds the decision limits, then the<br />

parameter is different from the overall mean. See Figure 9.8.

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