A study of bias for non-iterative estimates of the linear-by-linear association parameter from the ordinal log-linear models

Ordinal log-linear models (OLLM) are commonly used to analyse the association in a contingency table with ordered categorical variables. Recently, a non-iterative procedure was introduced to estimate the linear-by-linear association parameter of the OLLM. This paper will consider two of these non-iterative estimates and show that they are unbiased.