Transformed Variates

[jermanie]

For the spherecity test, what does "Transformed Variates" mean?

[Reeza]

Note that I've moved your post to the Statistical Procedures Forum.

It may help if you indicate which PROC you used and/or any specific options you choose. 

[jermanie]

I used: 

PROC GLM ;
	CLASS DRUG;
	MODEL HOUR1-HOUR5=DRUG / NOUNI;
	REPEATED HOUR / PRINTE;
	REPEATED HOUR 5 CONTRAST(1) / PRINTM SUMMARY NOU NOM;
	REPEATED HOUR 5 PROFILE / PRINTM SUMMARY NOU NOM;
RUN;

[art297 · Accepted solution]

The documentation and one extra note state the following:

PRINTE

displays the  matrix for each combination of within-subject factors, as well as partial correlation matrices for both the original dependent variables and the variables defined by the transformations specified in the REPEATED statement. In addition, the PRINTE option provides sphericity tests for each set of transformed variables. If the requested transformations are not orthogonal, the PRINTE option also provides a sphericity test for a set of orthogonal contrasts.

That was from: https://support.sas.com/documentation/cdl/en/statug/63347/HTML/default/viewer.htm#statug_glm_sect022...

also:

The PRINTE option in the REPEATED statement will generate two tests for sphericity. One test is on the transformed variables, and one is on the orthogonal components. The test applied to the orthogonal components is the one to examine. The null hypothesis is testing that the variance-covariance has a TYPE H structure (or spherical). If you fail to reject the null hypothesis, then you may use the traditional univariate F tests. If you reject the null hypothesis, then you may use either the adjusted univariate F tests or use the multivariate ANOVA tests. It is a matter of personal choice as to which alternative to select. The two adjusted univariate tests are printed under the univariate within subjects tests in the GLM output and are labeled G-G or H-F. There are four multivariate tests (Wilks Lambda, Pillai's Trace, Hotelling-Lawley Trace, Roy's Greatest Root).

that came from: http://support.sas.com/kb/22/589.html

Art, CEO, AnalystFinder.com