36
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Constrained Maximum Likelihood Estimation under Logistic Regression Models Based on Case-Control Data

Pages 369-383 | Received 10 Nov 2006, Published online: 30 Nov 2011

References

  • Agresti , A. 1996 . An Introduction to Categorical Data Analysis , New York : John Wiley & Sons .
  • Agresti , A. 2002 . Categorical Data Analysis. , 2nd ed , New York : Wiley-Interscience .
  • Aitchison , J. and Silvey , S. D. 1958 . Maximum-likelihood estimation of parameters subject to restraints . Ann. Math. Statist. , 29 : 813 – 828 .
  • Boos , D. D. 1992 . On generalized score tests . Amer. Statist. , 46 : 327 – 333 .
  • Breslow , N. and Day , N. E. 1980 . Statistical Methods in Cancer Research, Vol. 1, The Analysis of Case-control Studies , Lyon : IARC .
  • Day , N. E. and Kerridge , D. F. 1967 . A general maximum likelihood discriminant . Biometrics , 23 : 313 – 323 .
  • Fokianos , K. , Kedem , B. , Qin , J. , Haferman , J. L. and Short , D. A. 1998 . On combining instruments . Journal of Applied Meteorology , 37 : 220 – 226 .
  • Fokianos , K. , Kedem , B. , Qin , J. and Short , D. A. 2001 . A semiparametric approach to the one-way layout . Technometrics , 43 : 56 – 65 .
  • Gilbert , P. , Lele , S. and Vardi , Y. 1999 . Maximum likelihood estimation in semiparametric selection bias models with application to AIDS vaccine trials . Biometrika , 86 : 27 – 43 .
  • Gill , R. D. , Vardi , Y. and Wellner , J. A. 1988 . Large sample theory of empirical distributions in biased sampling models . Ann. Statist. , 16 : 1069 – 1112 .
  • Gramenzi , A. , Gentile , A. , Fasoli , M. , D'avanzo , B. , Negri , E. , Parazzini , F. and Vecchia , C. L. 1989 . Smoking and myocardial infarction in women: A case-control study from northern Italy . J. Epidemiol. Commun. Health , 43 : 214 – 217 .
  • Hosmer , D. J. and Lemeshow , S. 1989 . Applied Logistic Regression , New York : John Wiley & Sons .
  • Prentice , R. L. and Pyke , R. 1979 . Logistic disease incidence models and case-control studies . Biometrika , 66 : 403 – 411 .
  • Qin , J. 1993 . Empirical likelihood in biased sample problems . Ann. Statist. , 21 : 1182 – 1196 .
  • Qin , J. and Lawless , J. 1995 . Estimating equations, empirical likelihood and constraints on parameters . Canad. J. Statist. , 23 : 145 – 159 .
  • Qin , J. and Zhang , B. 1997 . A goodness of fit test for logistic regression models based on case-control data . Biometrika , 84 : 609 – 618 .
  • Serfling , R. J. 1980 . Approximation Theorems of Mathematical Statistics , New York : John Wiley & Sons .
  • Silvey , S. D. 1959 . The Lagrangian multiplier test . Ann. Math. Statist. , 30 : 389 – 407 .
  • Vardi , Y. 1982 . Nonparametric estimation in presence of length bias . Ann. Statist. , 10 : 616 – 620 .
  • Vardi , Y. 1985 . Empirical distribution in selection bias models . Ann. Statist. , 13 : 178 – 203 .
  • Wang , C. Y. and Carroll , R. J. 1993 . On robust estimation in logistic case-control studies . Biometrika , 80 : 237 – 241 .
  • Weinberg , C. R. and Wacholder , S. 1993 . Prospective analysis of case-control data under general multiplicative-intercept risk models . Biometrika , 80 : 461 – 465 .
  • Zhang , B. 2001 . An information matrix test for logistic regression models based on case-control data . Biometrika , 88 : 921 – 932 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.