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- Title
A Computational Study Assessing Maximum Likelihood and Noniterative Methods for Estimating the Linear-by-Linear Parameter for Ordinal Log-Linear Models.
- Authors
Beh, Eric J.; Farver, Thomas B.
- Abstract
For ordinal log-linear models, the estimation of the parameter reflecting the linear-by-linear measure of association has long been a topic for the analysis of dependence for contingency tables. Typically, iterative procedures (including Newton's method) are used to determine the maximum likelihood estimate of the parameter. Recently Beh and Farver (2009, ANZJS, 51, 335-352) show by way of example three reliable and accurate noniterative techniques that can be used to estimate the parameter and extended this study by examining their reliability computationally. This paper further investigates the reliability of the non-iterative procedures when compared with Newton's method for estimating this association parameter and considers the impact of the sample size on the estimate.
- Subjects
MAXIMUM likelihood statistics; ITERATIVE methods (Mathematics); PARAMETER estimation; LOG-linear models; STATISTICAL association; CONTINGENCY tables
- Publication
ISRN Computational Mathematics, 2012, p1
- ISSN
2090-7842
- Publication type
Academic Journal
- DOI
10.5402/2012/396831