%0 Journal Article %A Menéndez Calleja, María Luisa %A Pardo Llorente, Leandro %A Pardo Llorente, María del Carmen %T Preliminary phi-divergence test estimators for linear restrictions in a logistic regression model %D 2009 %@ 0932-5026 %U https://hdl.handle.net/20.500.14352/42450 %X The problem of estimation of the parameters in a logistic regression model is considered under multicollinearity situation when it is suspected that the parameter of the logistic regression model may be restricted to a subspace. We study the properties of the preliminary test based on the minimum phi-divergence estimator as well as in the phi-divergence test statistic. The minimum phi-divergence estimator is a natural extension of the maximum likelihood estimator and the phi-divergence test statistics is a family of the test statistics for testing the hypothesis that the regression coefficients may be restricted to a subspace. %~