RT Journal Article
T1 On tests of symmetry, marginal homogeneity and quasi-symmetry in two-way contingency tables based on minimum phi-divergence estimator with constraints
A1 Menéndez Calleja, María Luisa
A1 Pardo Llorente, Julio Ángel
A1 Pardo Llorente, Leandro
A1 Zografos, Konstantinos
AB The restricted minimum phi-divergence estimator, [Pardo, J.A., Pardo, L. and Zografos, K., 2002, Minimum phi-divergence estimators with constraints in multinomial populations. Journal of Statistical Planning and Inference, 104, 221-237], is employed to obtain estimates of the cell frequencies of an 1 x 1 contingency table under hypotheses of symmetry, marginal homogeneity or quasi-symmetry. The associated phi-divergence statistics are distributed asymptotically as chi-squared distributions under the null hypothesis. The new estimators and test statistics contain, as particular cases, the classical estimators and test statistics previously presented in the literature for the cited problems. A simulation study is presented, for the symmetry problem, to choose the best function phi(2) for estimation and the best function phi(1) for testing.
PB Taylor & Francis
SN 0094-9655
YR 2005
FD 2005-07
LK https://hdl.handle.net/20.500.14352/50277
UL https://hdl.handle.net/20.500.14352/50277
DS Docta Complutense
RD 21 abr 2025