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CATANOVA for analysis of nominal data from repeated measures designs. (English) Zbl 1188.62181

Summary: The existing CATANOVA method is examined for its suitability for analysis of nominal data from repeated measures design. The modified tests are developed for single and multi-group repeated measures designs, separately. The computed results reveal that in single group repeated measures designs the actual size of the existing CATANOVA test is more for negative correlation and less for positive correlation than the stated size. This implies that the existing test may yield the non-existing effects as significant for negative correlation and may not even detect the real effects for positive correlation among repeated observations. Similar results are obtained for repeated factor and interaction effects and just reverse result for group effects in multi-group repeated measures design. These results show that the existing CATANOVA tests are not valid for repeated measures designs and hence the modified tests should be used for analysis of nominal data from such designs.

MSC:

62H20 Measures of association (correlation, canonical correlation, etc.)
62J10 Analysis of variance and covariance (ANOVA)