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- W2136460475 abstract "Problem statement: For square contingency tables with ordered categor ies, if the Marginal Homogeneity (MH) model holds, then the probability that X selected at random from the row marginal distribution is less than Y selected independently at random from the column marginal distribution equals the probability that X is greater than Y. Ho wever, the converse does not hold. We are intereste d in the condition in order that the converse holds. Approach: This study gave a decomposition theorem that the MH model holds if and only if both the mar ginal cumulative logistic model and the model of equality of mean ridits for the row and column marg inal distributions hold. Examples are given. Results: For the data of cross-classification of ewes accor ding to number of lambs born in consecutive years and cross-classification of unaided distance vision of women in British, the decomposition of th e MH model is applied and the detailed analysis is gi ven. Conclusion: When the MH model fits the data poorly, this decomposition is useful for seeing whi ch of decomposed two models influences stronger." @default.
- W2136460475 created "2016-06-24" @default.
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- W2136460475 date "2010-01-01" @default.
- W2136460475 modified "2023-09-26" @default.
- W2136460475 title "Decomposition of Marginal Homogeneity into Logit and Mean Ridits Equality for Square Contingency Tables" @default.
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- W2136460475 doi "https://doi.org/10.3844/jmssp.2010.64.67" @default.
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