Volume 20, Issue 1 (6-2021)
JIRSS 2021, 20(1): 333-345 |
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Razzaghi M. An Alternative to the Beta-Binomial Distribution with Application in Developmental Toxicology. JIRSS. 2021; 20 (1) :333-345
URL: http://jirss.irstat.ir/article-1-788-en.html
URL: http://jirss.irstat.ir/article-1-788-en.html
Department of Mathematics, Bloomsburg University, Bloomsburg, PA, USA , mrazzagh@bloomu.edu
Abstract: (660 Views)
The beta-binomial distribution is resulted when the probability of success per trial in the binomial distribution varies in successive trials and the mixing distribution is from the beta family. For experiments with binary outcomes, often it may happen that observations exhibit some extra binomial variation and occur in clusters. In such experiments the beta-binomial distribution can generally provide an adequate fit to the data. Here, we introduce an alternative when the mixing distribution is assumed to be from the log-Lindley family. The properties of this new model are explored and it is shown that similar to the beta-binomial distribution, the log-Lindley binomial distribution can also be applied in modeling clustered binary outcomes. An example with real experimental data from a developmental toxicity experiment is utilized to provide further illustration.
Keywords: Beta-Binomial, Clustered Binary Outcomes, Distribution Mixtures. Extra Binomial Variation, Log-Lindley.
Type of Study: Special Issue, Original Paper |
Subject:
62Exx: Distribution theory
Received: 2020/12/4 | Accepted: 2021/02/7 | Published: 2021/06/20
Received: 2020/12/4 | Accepted: 2021/02/7 | Published: 2021/06/20
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