Tests for Equality of Correlated Proportions in a Polychotomous Response Design

Barry M. Katz

Journal of Educational and Behavioral Statistics, 1978, vol. 3, issue 2, 145-178

Abstract: This paper surveys available techniques and introduces an explicit statement of a new statistic to test for equality of correlated proportions in a polychotomous response design. The statistic does not require use of general linear models methodology, but it is an explicit, special case of methodology implicit in Bhapkar (1966) , Grizzle, Starmer, and Koch (1969) and Koch and Reinfurt (1971) . The large-sample distribution for the test statistic is derived as well as computational formulas for calculating the statistic. Associated post hoc procedures are also developed. A conservative, modified form of the statistic is constructed, and an empirical investigation of the small sample behavior of both statistics is carried out via Monte Carlo sampling. A set of guidelines for the potential user of the techniques is provided.

Keywords: Categorical Data; Multivariate; Confidence Intervals; Simulation (search for similar items in EconPapers)
Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:3:y:1978:i:2:p:145-178

DOI: 10.3102/10769986003002145

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