TY - JOUR PY - 1990// TI - A Markov chain model of extrabinomial variation JO - Biometrika A1 - Rudolfer, Stephan M. SP - 255 EP - 264 VL - 77 IS - 2 N2 - 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.

LA - SN - 0006-3444 UR - http://dx.doi.org/10.1093/biomet/77.2.255 ID - ref1 ER -