Example: We use the same dataset as in ANOVA. For MANOVA, DO loop step
is not needed in the analysis. The SAS codes are given below.
PROC GLM;
MODEL VOCAB1--VOCAB4 = / NOUNI SOLUTION;
REPEATED TIME POLYNOMIAL / SUMMARY PRINTE;
RUN;
The NOUNI option prevents separate tests. The SOLUTION option presents
estimates of the fixed effect parameters. The SUMMARY option provides
univariate repeated-measures results. At last, the PRINTE option gives sphericity
information. The test for sphericity provides a test of the hypothesis that all
measured variables are independently distributed and they have the same variance
σ2, which is assumed to be unknown. If the sphericity test holds, then F-tests are
valid. If it does not hold, then F-tests are generally too liberal [13]. Here, since
p-value = 0.2767, we conclude that F-tests are valid. The parameter “time” (group)
indicates significant of p-value (<0.001). Therefore, we may end up same
conclusion as ANOVA example.
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