Publication date: 11/29/2021

The response design forms the M matrix. The columns of an M matrix define a set of transformation variables for the multivariate analysis. The Choose Response button contains the following options for the M matrix:

Repeated Measures

Constructs and runs both Sum and Contrast responses.

Sum

Sum of the responses that gives a single value.

Identity

Uses each separate response, the identity matrix.

Contrast

Compares each response and the first response.

Polynomial

Constructs a matrix of orthogonal polynomials.

Helmert

Compares each response with the combined responses listed below it.

Profile

Compares each response with the following response.

Mean

Compares each response with the mean of the others.

Compound

Creates and runs several response functions that are appropriate if the responses are compounded from two effects.

Custom

Uses any custom M matrix that you enter.

The most typical response designs are Repeated Measures and Identity for multivariate regression. There is little difference in the tests given by the Contrast, Helmert, Profile, and Mean options, since they span the same space. However, the tests and details in the Least Squares means and Parameter Estimates tables for them show correspondingly different highlights.

The Repeated Measures and the Compound options display dialogs to specify response effect names. They then fit several response functions without waiting for further user input. Otherwise, selections expand the control panel and give you more opportunities to refine the specification.

Want more information? Have questions? Get answers in the JMP User Community (community.jmp.com).