For cross-classification tables having an ordinal response variable, logit and probit models are formulated for the probability that a pair of subjects is concordant. For multidimensional tables, generalized models are given for the probability that the response at one setting of explanatory variables exceeds the response at another setting. Related measures of association are discussed for two...

The association between a binary variable Y and a variableX with an at least ordinal measurement scale might be examined by selecting a cutpoint in the range of X and then performing an association test for the obtained 2 × 2 contingency table using the χ2 statistic. The distribution of the maximally selected χ2 statistic (i.e. the maximal χ2 statistic over all possible cutpoints) under the nul...

In two-way contingency tables analysis, a popular class of models for describing the structure of the association between the two categorical variables are the so-called “association” models. Such models assign scores to the classification variables which can be either fixed and prespecified or unknown parameters to be estimated. Under the row–column (RC) association model, both row and column ...

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The laboratory is dealing with reporting tests as information needed to make clinical decisions. The traditional statistical quality control measures which assigns reference ranges based on 95 percent confidence intervals is insufficient for diagnostic tests that assign risk. We construct a basis for risk assignment by a method that builds on the 2 x 2 contingency table used to calculate the C2...

In analyses of contingency tables made up of categorical variables, the study of relationship between the variables is usually the major objective. So far, many association measures and association models have been used to measure  the association structure present in the table. Although the association measures merely determine the degree of strength of association between the study varia...

The association between a binary variable Y and a variable X having an at least ordinal measurement scale might be examined by selecting a cutpoint in the range of X and then performing an association test for the obtained 2 x 2 contingency table using the chi-square statistic. The distribution of the maximally selected chi-square statistic (i.e. the maximal chi-square statistic over all possib...

This paper proposes new non-model based partial/conditional association measures for ordinal contingency table where the main interest is between two variables of interest, adjusting effect covariate(s). We first develop a type scores variables, subcopula scores, taking into account ordering categories and derive regressions describing relationships The proposed are obtained from which uniquely...