Cressie, Noel A.Pardo Llorente, LeandroPardo Llorente, María del Carmen2023-06-202023-06-202003-041017-0405https://hdl.handle.net/20.500.14352/50314In this article, we assume that categorical data axe distributed according to a multinomial distribution whose probabilities follow a loglinear model. The inference problem we consider is that of hypothesis testing in a loglinear-model setting. The null hypothesis is a composite hypothesis nested within the alternative. Test statistics are chosen from the general class of phi-divergence statistics. This article collects together the operating characteristics of the hypothesis test based on both asymptotic (using large-sample theory) and finite-sample (using a designed simulation study) results. Members of the class of power divergence statistics are compared, and it is found that the Cressie-Read statistic offers an attractive alternative to the Pearson-based and the likelihood ratio-based test statistics, in terms of both exact and asymptotic size and power.engjournal articlehttp://www3.stat.sinica.edu.tw/statistica/oldpdf/A13n218.pdfhttp://0-www3.stat.sinica.edu.tw.cisne.sim.ucm.es/statistica/open access519.21Chi-squared distributioncontiguous alternativesmultinomial distributionnested hypothesesnoncentral chi-squared distributionpowerdivergence statistic.Estadística matemática (Matemáticas)1209 Estadística