Journal of the Iranian Statistical Society
پژوهشنامه انجمن آمار ایران
JIRSS
Basic Sciences
http://jirss.irstat.ir
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admin
1726-4057
2538-189X
8
10.52547/jirss
14
1726-4057
13
en
jalali
1400
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gregorian
2021
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20
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online
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An Alternative to the Beta-Binomial Distribution with Application in Developmental Toxicology
62Exx: Distribution theory
62Exx: Distribution theory
Special Issue, Original Paper
Special Issue, Original Paper
<p>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.</p>
Beta-Binomial, Clustered Binary Outcomes, Distribution Mixtures. Extra Binomial Variation, Log-Lindley.
333
345
http://jirss.irstat.ir/browse.php?a_code=A-11-369-39&slc_lang=other&sid=1
Mehdi
Razzaghi
mrazzagh@bloomu.edu
`10031947532846004194`

10031947532846004194
Yes
Department of Mathematics, Bloomsburg University, Bloomsburg, PA, USA