Measure of departure from marginal homogeneity using marginal odds for multi-way tables with ordered categories

Kiyotaka Iki, Kouji Tahata and Sadao Tomizawa

Journal of Applied Statistics, 2012, vol. 39, issue 2, 279-295

Abstract: For square contingency tables with ordered categories, this paper proposes a measure to represent the degree of departure from the marginal homogeneity model. It is expressed as the weighted sum of the power-divergence or Patil--Taillie diversity index, and is a function of marginal log odds ratios. The measure represents the degree of departure from the equality of the log odds that the row variable is i or below instead of i +1 or above and the log odds that the column variable is i or below instead of i +1 or above for every i . The measure is also extended to multi-way tables. Examples are given.

Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/02664763.2011.586682

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