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Log-Linear Models for Frequency Tables Derived by Indirect Observation: Maximum Likelihood Equations
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1974
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Parameter EstimationEngineeringGeneticsGenetic EpidemiologyMaximum Likelihood EquationsGenetic AnalysisLog-linear ModelsFrequency Tables DerivedGenotype-phenotype AssociationBiostatisticsPublic HealthEstimation TheoryStatistical ModelingStatisticsHaplotype DeterminationIndirect ObservationGroup FrequencyStatistical GeneticsFunctional Data AnalysisLinkage DisequilibriumEconometricsFrequency TablesStatistical Inference
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.