TITLE:
Decomposition of Independence Using the Logit Uniform Association Model and Equality of Concordance and Discordance for Two-Way Classifications
AUTHORS:
Kouji Tahata, Nobuko Miyamoto, Sadao Tomizawa
KEYWORDS:
Concordance, Discordance, Independence, Logit Uniform Association Model
JOURNAL NAME:
Open Journal of Statistics,
Vol.5 No.6,
October
16,
2015
ABSTRACT: For two-way contingency tables with ordered categories, the present paper gives a theorem that the independence model holds if and only if the logit uniform association model holds and equality of concordance and discordance for all pairs of adjacent rows and all dichotomous collapsing of the columns holds. Using the theorem, we analyze the cross-classification of duodenal ulcer patients according to operation and dumping severity.