RT Journal Article T1 Analysis of divergence in loglinear models when expected frequencies are subject to linear constraints A1 Pardo Llorente, Leandro A1 Menéndez Calleja, María Luisa AB Consider the loglinear model for categorical data under the assumption of multinomial sampling. We are interested in testing between various hypotheses on the parameter space when we have some hypotheses relating to the parameters of the models that can be written in terms of constraints on the frequencies. The usual likelihood ratio test, with maximum likelihood estimator for the unspecified parameters, is generalized to tests based on phi-divergence statistics, using minimum phi-divergence estimator. These tests yield the classical likelihood ratio test as a special case. Asymptotic distributions for the new phi-divergence test statistics are derived under the null hypothesis. PB Springer Heidelberg SN 0026-1335 YR 2006 FD 2006-08 LK https://hdl.handle.net/20.500.14352/50294 UL https://hdl.handle.net/20.500.14352/50294 LA eng NO DGES DS Docta Complutense RD 26 dic 2025