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ON THE ANALYSIS OF VARIANCE FOR BETA – BINOMIA
Author(s) -
Engel J.
Publication year - 1985
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1985.tb01122.x
Subject(s) - mathematics , beta binomial distribution , continuity correction , statistics , binomial distribution , binomial (polynomial) , beta negative binomial distribution , negative binomial distribution , generalization , beta distribution , variance (accounting) , sample size determination , binomial proportion confidence interval , sampling (signal processing) , multinomial distribution , beta (programming language) , poisson distribution , computer science , mathematical analysis , accounting , filter (signal processing) , computer vision , business , programming language
The beta–binomial distribution is reported in literature as a useful generalization of the binomial in case of heterogeneous binomial sampling. An extra model parameter is introduced to accommodate for extra–binomial variation. Some additions to results already available will be given by presenting approximate F–tests for factorial designs, where the response variable is of 0–1 type and sampling is heterogeneous binomial. These tests can be used when sample sizes are large and equal and some degrees of freedom are left from replicates or negligible interactions to estimate the extra model parameter.