An approximate relationship between the odds ratio and the tetrachoric correlation for 2×2 contingency tables is presented. The approximation is simple in form and demonstrates a close linkage between these two important measures of association. This relationship can be used to reconcile (at...

The uniform association model and a linear-by-linear association model with "normal scores" are compared to probability distributions generated by partitioning the bivariate normal distribution. The association models are shown to be indistinguishable from their respective bivariate normal...