Menéndez Calleja, María LuisaPardo Llorente, LeandroPardo Llorente, María del Carmen2023-06-202023-06-202009-03Ali SM, Silvey SD (1966) A general class of coefficients of divergence of one distribution from another. J R Stat Soc Ser B 28:131–142 Bancroft TA (1944) On biases in estimation due to use of preliminary tests of significance. Ann Math Stat 15:190–204 Bancroft TA (1964) Analysis and inference for incompletely specified models involving the use of preliminary tests of significance. Biometrics 20:813–828 Cressie N, Pardo L (2002) Phi-divergence statistics. In: ElShaarawi AH, Piegorich WW (eds) Encyclopedia of environmetrics. Wiley, New York, pp 1551–1555 Cressie N, Read TRC (1984) Multinomial goodness-of-fit tests. J R Stat Soc Ser B 46:440–464 Csiszár I (1963) Eine Informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität on Markhoffschen Ketten. Publications of the Mathematical Institute of Hungarian Academy of Sciences, Series A 8:85–108 Ferguson TS (1996) A course in large sample theory. In: Texts in statistical science. Chapman & Hall, New York Judge GG, Bock ME (1978) The statistical implications of pretest and Stein-rule estimators in econometrics. North Holland, Amsterdam Liu A, Agresti A (2005) The analysis of categorical data: an overview and a survey of recent developments. Test 14(1):1–74 Matin MA, Saleh AKMdE (2005) Some improved estimators in logistic regression model. J Stat Res 39(2):37–58 Matin MA, Saleh AKMdE (2006) Small-sample properties of some improved estimators in logistic regression model with skew-normally distributed explanatory variables. J Stat Res 40(1):1–21 Menéndez ML, Pardo JA, Pardo L (2008) Phi-divergence test statistics for testing linear hypotheses in logistic regression models. Commun Stat, Theory and Methods 37(4) (in press) Pardo JA, Pardo L, Pardo MC (2005) Minimum ϕ -divergence estimators in logistic regression models. Stat Pap 47:92–108 Pardo JA, Pardo L, Pardo MC (2006) Testing in logistic regression models based on ϕ -divergence measures. J Stat Plan Inf 136(3):982–1006 Pardo L, Pardo MC (2007) An extension of likelihood-ratio-test for testing linear hypotheses in the baseline-category logit model. Comput Stat Data Anal (in print) Pardo L (2006) Statistical inference based on divergence measures. Chapman & Hall/CRC, New York Saleh AKMdE (2006) Theory of preliminary test and Stein-type estimation with applications. Wiley, New York Vajda I (1989) Theory of statistical inference and information. Kluwer, Dordrecht0932-502610.1007/s00362-007-0078-zhttps://hdl.handle.net/20.500.14352/42450The 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.engjournal articlehttp://www.springerlink.com/content/bn315h370j752675/fulltext.pdfhttp://www.springerlink.com/restricted access519.21Logistic regression modelPhi-divergence test statisticsMinimum phi-divergence estimatorGeneral linear hypothesesPreliminary phi-divergence test estimatorEstadística matemática (Matemáticas)1209 Estadística