Log-normal Distribution Type Symmetry Model for Square Contingency Tables with Ordered Categories

Autor: Kiyotaka Iki
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Austrian Journal of Statistics, Vol 47, Iss 3 (2018)
Druh dokumentu: article
ISSN: 1026-597X
DOI: 10.17713/ajs.v47i3.701
Popis: For the analysis of square contingency tables with the same row and column ordinal classications, this article proposes a new model which indicates that the log-ratios of symmetric cell probabilities are proportional to the difference between log-row category and log-column category. The proposed model may be appropriate for a square ordinal table if it is reasonable to assume an underlying bivariate log-normal distribution. Also, this article gives the decomposition of the symmetry model using the proposed model with the orthogonality of test statistics. Examples are given. The simulation studies based on bivariate log-normal distribution are given.
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