Set correlation and contingency tables
1988
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Set correlation and contingency tables
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1988
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Abstract
Set 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.
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Cohen, Jacob. (1988). Set correlation and contingency tables. Applied Psychological Measurement, 12, 425-434. doi:10.1177/014662168801200410
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doi:10.1177/014662168801200410
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Cohen, Jacob. (1988). Set correlation and contingency tables. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/104317.
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