
@article{ref1,
title="A Markov chain model of extrabinomial variation",
journal="Biometrika",
year="1990",
author="Rudolfer, Stephan M.",
volume="77",
number="2",
pages="255-264",
abstract="This paper studies the properties of a {0, 1}-state Markov chain model of extrabinomial variation. If n is even, the Markov chain binomial model is always overdispersed relative to the binomial model with parameters n and p, while if n is odd, it may be over- or underdispersed relative to the binomial model. Expressions for the likelihood and variance functions are obtained, and for n=3, the Markov chain binomial model is compared with the additive and multiplicative binomial models of Altham (1978), as well as to the beta-binomial model.<p />",
language="",
issn="0006-3444",
doi="10.1093/biomet/77.2.255",
url="http://dx.doi.org/10.1093/biomet/77.2.255"
}