ESTIMATION OF THE CORRELATION COEFFICIENT FOR TRIANGULAR CONTINGENCY TABLES UNDER THE BIVARIATE NORMAL DISTRIBUTION

Year 2010, Volume: 39 Issue: 1, 75 - 80, 03.07.2019

Serpil Aktaş

Abstract

Triangular contingency tables are a special class of incomplete contin-

gency tables. Association and independence models are used to analyze

such tables. Association models can be described in terms of the as-

sociation parameters for the analysis of triangular contingency tables

having ordered categories. The aim of this study is to show the re-

lation between the association parameters of the uniform association

model and the sample correlation coefficient under the structural ze-

ros. For this purpose, a simulation study based on random contingency

tables containing structural zeros is performed. Association parame-

ters are estimated under the uniform association models. The sample

correlation coefficients are computed using these parameter estimates

and compared with the population correlation coefficients. It is shown

that by using the association parameter estimates under the uniform

association model, better estimates can be achieved for the population

correlation coefficient in the case of structural zeros.

Keywords

Triangular contingency tables, Uniform association model, Bivariate nor- mal distribution

References

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