Log-Linear Models for Frequency Tables Derived by Indirect Observation: Maximum Likelihood Equations

Open Access

1 September 1974

journal article
Published by Institute of Mathematical Statistics in The Annals of Statistics

Vol. 2 (5) , 911-924
https://doi.org/10.1214/aos/1176342813

Abstract

Frequency tables are examined in which some cells are not distinguishable. Log-linear models are proposed for these tables which lead to likelihood equations closely related to those associated with log-linear models for conventional frequency tables. Just as in conventional tables, the maximum likelihood equations are shown to be the same under Poisson or multinomial sampling. Applications are made to the problem of estimation of gene frequencies from observed phenotype frequencies.

Keywords

MAXIMUM LIKELIHOOD ESTIMATION
CONTINGENCY TABLES
LOG LINEAR MODEL
MAXIMUM LIKELIHOOD ESTIMATE
GENETICS
LOG LINEAR MODELS
MAXIMUM LIKELIHOOD
CONTINGENCY TABLE

This publication has 0 references indexed in Scilit: