RT Journal Article T1 Nonadditivity in loglinear models using phi-divergences and MLEs A1 Pardo Llorente, Leandro A1 Pardo Llorente, MarĂ­a del Carmen AB In this paper three families of test statistics for testing nonadditivity in loglinear models are presented under the assumption of either Poisson, multinomial, or product-multinomial sampling. These new families are based on the phi-divergence measures. The standard method for testing nonadditivity is used, i.e., the two-stage tests procedure. In this procedure the parameters are first estimated using an additive model and then the estimates are treated as known constants for the second stage of the procedure. These test statistics, which are asymptotically chi-squared, generalize the likelihood ratio test for this problem given by Christensen and Utts (J. Statist. Plann. Inference 33 (1992) 333). An example and a simulation study are included. PB Elsevier Science Bv SN 0378-3758 YR 2005 FD 2005-01-01 LK https://hdl.handle.net/20.500.14352/50295 UL https://hdl.handle.net/20.500.14352/50295 LA eng NO DGI DS Docta Complutense RD 8 jun 2025