Psychological research often involves analysis of an
I x J contingency table consisting of the responses of
J groups of individuals on a criterion variable with I
nominal categories. The conventional statistical approach
for comparing responses across groups is the
Pearson chi-square test. Alternatively, this analysis
can be viewed as a multivariate analysis of variance
with binary dependent variables, a canonical correlation
analysis with two sets of binary variables, or a
form of correspondence analysis. Although these analysis
approaches stem from different traditions, they
produce equivalent results when applied to an I x J
Zwick, Rebecca & Cramer, Elliot M. (1986). A multivariate perspective on the analysis of categorical data. Applied Psychological Measurement, 10, 141-145. doi:10.1177/014662168601000203
Zwick, Rebecca; Cramer, Elliot M..
A multivariate perspective on the analysis of categorical data.
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