M-ESTIMATORS OF THE UNIFORM ASSOCIATION MODEL IN $R\times C$ CONTINGENCY TABLES

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

References

1. . .