Research Article
ESTIMATION OF THE CORRELATION COEFFICIENT FOR TRIANGULAR CONTINGENCY TABLES UNDER THE BIVARIATE NORMAL DISTRIBUTION
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.
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Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Statistics |
| Authors | |
| Publication Date | July 3, 2019 |
| Published in Issue | Year 2010 Volume: 39 Issue: 1 |