For ordinal log-linear models, the estimation of the parameter reflecting the linear-by-linear measure of association has long been\r\na topic for the analysis of dependence for contingency tables. Typically, iterative procedures (including Newtonââ?¬â?¢s method) are used\r\nto determine the maximum likelihood estimate of the parameter. Recently Beh and Farver (2009, ANZJS, 51, 335ââ?¬â??352) show by\r\nway of example three reliable and accurate noniterative techniques that can be used to estimate the parameter and extended this\r\nstudy by examining their reliability computationally. This paper further investigates the reliability of the non-iterative procedures\r\nwhen compared with Newtonââ?¬â?¢s method for estimating this association parameter and considers the impact of the sample size on\r\nthe estimate.
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