Cohen, Jacob2011-05-112011-05-111988Cohen, Jacob. (1988). Set correlation and contingency tables. Applied Psychological Measurement, 12, 425-434. doi:10.1177/014662168801200410doi:10.1177/014662168801200410https://hdl.handle.net/11299/104317Set correlation is a realization of the general multivariate linear model, can be viewed as a multivariate generalization of multiple correlation analysis, and may be employed in the analysis of multivariate data in any form. Set correlation supplements the four methods for analyzing two-way contingency tables described by Zwick and Cramer (1986), and its application to their example is illustrated. It gives the same results for the overall association, and in addition, by the use of nominal scale coding and partialling, it assesses specific hypotheses about the details of the association. Set correlation includes measures of strength of association (including correlations and proportions of variance), significance tests and estimation, power analysis, and computer programs to implement the calculations. Index terms: canonical analysis, contingency table analysis, correspondence analysis, general multivariate linear model, multivariate analysis of variance, Pearson chi-square, set correlation.enArticle