- Hacettepe Journal of Mathematics and Statistics
- Vol: 31
- M-ESTIMATORS OF THE UNIFORM ASSOCIATION MODEL IN $R\times C$ CONTINGENCY TABLES
M-ESTIMATORS OF THE UNIFORM ASSOCIATION MODEL IN $R\times C$ CONTINGENCY TABLES
Authors : Serpil Aktaş, Meral Çetin
Pages : 83-88
View : 11 | Download : 3
Publication Date : 2001-12-01
Article Type : Research
Abstract :If all cell counts $n_{ij}$ of a given $R\times C$ contingency table are positive, estimates of the expected frequencies mij can be found by applying any regression estimator to the logarithm of the observed counts. If an $R\times C$ table contains outlier(s), ordinary least squares estimates will be affected by the outlier(s). Various authors have proposed several robust estimators sensitive to outliers. In this study, robust estimators were applied to an $R\times C$ contingency table with an outlier to obtain the robust parameter estimates instead of the maximum likelihood (ML) estimates, and the results were discussed.Keywords : Contingency table, Robust regression, Outlier, Uniform association model