Double Generalized Beta-Binomial and Negative Binomial Regression Models [PDF]
Overdispersion is a common phenomenon in count datasets, that can greatly affect inferences about the model. In this paper develop three joint mean and dispersion regression models in order to fit overdispersed data.
EDILBERTO CEPEDA-CUERVO +1 more
doaj +3 more sources
Bootstrap goodness-of-fit test for the beta-binomial model [PDF]
A common question in the analysis of binary data is how to deal with overdispersion. One widely advocated sampling distribution for overdispersed binary data is the beta-binomial model. For example, this distribution is often used to model litter effects in toxicological experiments.
Piegorsch, Walter +2 more
core +4 more sources
Longitudinal beta‐binomial modeling using GEE for overdispersed binomial data [PDF]
Longitudinal binomial data are frequently generated from multiple questionnaires and assessments in various scientific settings for which the binomial data are often overdispersed. The standard generalized linear mixed effects model may result in severe underestimation of standard errors of estimated regression parameters in such cases and hence ...
Wu, Hongqian +2 more
openaire +4 more sources
Beta-binomial model for meta-analysis of odds ratios. [PDF]
In meta‐analysis of odds ratios (ORs), heterogeneity between the studies is usually modelled via the additive random effects model (REM). An alternative, multiplicative REM for ORsuses overdispersion. The multiplicative factor in this overdispersion model (ODM) can be interpreted as an intra‐class correlation (ICC) parameter.
Bakbergenuly I, Kulinskaya E.
europepmc +7 more sources
A Zero-inflated Beta-binomial Model for Microbiome Data Analysis. [PDF]
The Microbiome is increasingly recognized as an important aspect of the health of host species, involved in many biological pathways and processes and potentially useful as health biomarkers. Taking advantage of high‐throughput sequencing technologies, modern bacterial microbiome studies are metagenomic, interrogating thousands of taxa simultaneously ...
Hu T, Gallins P, Zhou YH.
europepmc +5 more sources
Empirical-distribution-function Tests for the Beta-Binomial Model
Abstract Empirical-distribution-function (EDF) goodness-of-fit tests are considered for the beta-binomial model. The testing procedures based on EDF statistics are given. A Monte Carlo study is conducted to investigate the accuracy and power of the tests against various alternative distributions.
Chien-Tai Lin, Cheng-Chieh Chou
openaire +2 more sources
Beta-Binomial Model for Count Data: An Application in Estimating Model-Based Oral Reading Fluency. [PDF]
In this article, the beta-binomial model for count data is proposed and demonstrated in terms of its application in the context of oral reading fluency (ORF) assessment, where the number of words read correctly (WRC) is of interest.
Qiao X +4 more
europepmc +2 more sources
The Beta-Binomial Distribution [PDF]
The beta-binomial distribution can be thought of as a binomial distribution where the probability of success in each trial is not fixed but follows a beta distribution. It is often used to capture correlation in a sequence of Bernoulli trials or to model
Hodel, Florian, Booth, James
core +1 more source
BETA-BINOMIAL MODEL IN SMALL AREA ESTIMATION USING HIERARCHICAL LIKELIHOOD APPROACH
Small Area Estimation is a statistical method used to estimate parameters in sub-populations with small or even no sample sizes. This research aims to evaluate the Beta-Binomial model's performance for estimating small areas at the area level.
Etis Sunandi +3 more
doaj +1 more source
Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation [PDF]
Multiplicative-binomial distribution is one of the distributions that allows for over-dispersion and under-dispersion relative to the standard binomial distribution.
Elsayed A.H. Elamir
doaj +1 more source

