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Misspecification tests for binomial and beta‐binomial models

Statistics in Medicine, 2007
AbstractThe IOS test of Presnell and Boss (J. Am. Stat. Assoc. 2004; 99(465):216–227) is a general‐purpose goodness‐of‐fit test based on the ratio of in‐sample and out‐of‐sample likelihoods. For large samples, the IOS statistic can be approximated by a multiplicative contrast between two estimates of the information matrix, and in this way the IOS test
Marinela, Capanu, Brett, Presnell
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A Stabilized Moment Estimator for the Beta-Binomial Distribution

Biometrics, 1987
The beta-binomial distribution has been proposed as a model for the incorporation of historical control data in the analysis of rodent carcinogenesis bioassays. Low spontaneous tumor incidences along with the small number and sizes of historical control groups combine to make the moment and maximum likelihood estimates of the beta-binomial parameters ...
R N, Tamura, S S, Young
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Library book circulation and the beta-binomial distribution

Journal of the American Society for Information Science, 1987
Library book circulation does not appear to be a Poisson process. It is proposed that a binomial process is more logical and that the mixture distribution for individual book popularities is a continuous beta distribution. Three examples are given which indicate the superiority of the beta—over the negative binomial distribution.
E. Gelman, H. S. Sichel
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A BETA‐BINOMIAL MODEL FOR LIBRARY SURVEY DATA

Journal of Documentation, 1987
It has become of increasing importance to the UK library community to estimate the proportion of library acquisitions in the United Kingdom for which a UK MARC record is available at the time of cataloguing. This proportion is called the hit rate. The libraries have for the purpose of the study been divided into two sectors, academic libraries and ...
Bernard W. Silverman, J. D. Wilson
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Stationarity test for the beta binomial model

Journal of Business Research, 1981
Abstract The beta binomial model has been successfully applied to describe brand switching, television viewing, and magazine readership behavior. However, long-term projections from this model tend to have systematic biases. These biases can be explained by violations of the stationarity assumption of the model. A statistical test for stationarity is
Darius J. Sabavala, Donald G. Morrison
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Beta-Binomial Anova for Proportions

Applied Statistics, 1978
A method is proposed for the regression analysis of proportions based on the Beta‐binomial distribution.
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Moment estimators for the beta-binomial distribution

Journal of Applied Statistics, 1992
A new moment estimator of the dispersion parameter of the beta-binomial distribution is proposed. It is derived by the method of moments which is constrained to satisfy the unbiasedness of the estimating equation. It gives a better performance than those of the usual moment estimators and the stabilized moment estimator proposed by Tamura & Young.
E. Yamamoto, T. Yanagimoto
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The two-dimensional beta binomial distribution

Statistics & Probability Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bibby, Bo Martin; id_orcid 0000-0002-4742-4076   +1 more
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A Review of the Beta-Binomial Model and its Extensions

Journal of Educational Statistics, 1981
Both the binomial and beta-binomial models are applied to various problems occurring in mental test theory. The paper reviews and critiques these models. The emphasis is on the extensions of the models that have been proposed in recent years, and that might not be familiar to many educators.
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An Interval Estimate for the Intraclass Correlation in Beta-Binomial Sampling

Biometrics, 1996
The beta-binomial distribution has been frequently applied to model intraclass correlation among dichotomous responses in cluster sampling. To avoid using sophisticated numerical procedures to calculate maximum likelihood estimates, many authors have proposed different moment estimators.
Lui, Kung-Jong   +2 more
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