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Comparison of Three Binomial-related Models in the Estimation of Correlations
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 Title & Authors
Comparison of Three Binomial-related Models in the Estimation of Correlations
Moon, Myung-Sang;
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 Abstract
It has been generally recognized that conventional binomial or Poisson model provides poor fits to the actual correlated binary data due to the extra-binomial variation. A number of generalized statistical models have been proposed to account for this additional variation. Among them, beta-binomial, correlated-binomial, and modified-binomial models are binomial-related models which are frequently used in modeling the sum of n correlated binary data. In many situations, it is reasonable to assume that n correlated binary data are exchangeable, which is a special case of correlated binary data. The sum of n exchangeable correlated binary data is modeled relatively well when the above three binomial-related models are applied. But the estimation results of correlation coefficient turn to be quite different. Hence, it is important to identify which model provides better estimates of model parameters(success probability, correlation coefficient). For this purpose, a small-scale simulation study is performed to compare the behavior of above three models.
 Keywords
Beta-Binomial Model;Binomial-related Models;Correlated-Binomial Model;Exchangeable;Modified-Binomial Model;
 Language
English
 Cited by
1.
일반화 이항모형의 적합도 평가,백은주;김기영;

Communications for Statistical Applications and Methods, 2011. vol.18. 4, pp.507-516 crossref(new window)
1.
Comparative Simulation Studies on Generalized Binomial Models, Communications for Statistical Applications and Methods, 2011, 18, 4, 507  crossref(new windwow)
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