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Original Articles

Collinearity in generalized linear regression

Pages 1933-1952 | Received 01 Jun 1992, Published online: 23 Dec 2010

References

  • Aitkin , M. , Anderson , D. , Francis , B. and Hinde , J. 1989 . Statistical Modelling in GLIM , Oxford : Claredon Press .
  • Albert , A. and Anderson , J.A. 1984 . On the existence of maximum likelihood estimates in logistic regression models . Biometrika , 71 ( 1 ) : 1 – 10 .
  • Albert , A. and Lesaffre , E. 1986 . Multiple group logistic discrimination . Computers and Mathematics with Applications , 12 ( 1 ) : 209 – 224 .
  • Belsley , D.A. 1991 . Conditioning diagnostics: collineariiy and weak data in regression , New York : John Wiley and Sons .
  • Belsley , D.A. , Kuh , E. and Welsch , R.E. 1980 . Regression diagnostics: Influential Data and Sources of Collinearity , New York : John Wiley and Sons .
  • Belsley , D.A. and Oldford , R.W. 1986 . The general problem of ill conditioning and its role in statistical analysis . Computational Statistics and Data Analysis , 4 : 104 – 20 .
  • Davis , C.E. , Hyde , J.E. , Bangdiwale , S.I. and Nelson , J.J. 1985 . “ An example of dependencies among variables in a conditional logistic regression ” . In Modern Statistical Methods in Chronic Disease Epidemiology. Proceedings of the SIMS conference , Edited by: Moolgavkar , S.H. and Prentice , R.L. New York : John Wiley and Sons .
  • Duffy , D.E. and Santner , T.J. 1989 . On the small sample properties of norm-restricted maximum likelihood estimators for logistic regression models . Communications in Statistics-Theory and Methods , 18 ( 3 ) : 959 – 80 .
  • Hauck , W.W. and Donner , A. 1977 . Wald's test as applied to hypotheses in logit analysis . Journal of the American Statistical Association , 72 ( 360 ) : 851 – 3 .
  • Lee , E.T. 1974 . A computer program for linear logistic regression analysis . Computer Programs in Biomedicine , 72 ( 360 ) : 80 – 92 .
  • Lesaffre , E. and Albert , A. 1989 . Partial separation in logistic discrimination . Journal of the Royal Statistical Society, Series B , 51 ( 360 ) : 109 – 16 .
  • Mackinnon , M.J. and Puterman , M.L. 1989 . Collinearity in generalized linear models . Communications in Statistics-Theory and Methods , 18 ( 9 ) : 3463 – 72 .
  • Marx , B.D. and Smith , E.P. 1990 . Weighted multicollinearity in logistic regression: diagnostics and biased estimation techniques with an example from lake acidification . Canadian Journal of Fisheries and Aquatic Sciences , 47 ( 6 ) : 1128 – 35 .
  • Marx , B.D. and Smith , E.P. 1990 . Principal component estimation for generalized linear regression . Biometrika , 77 ( 1 ) : 23 – 32 .
  • McCullagh , P. and Nelder , J.A. 1989 . Generalized Linear Models , London : Chapman and Hall .
  • Nelder , J. and Wedderburn , R.W.M. 1972 . Generalized linear models . Journal of the Royal Statistical Society, A , 135 : 370 – 84 .
  • Santner , T.J. and Duffy , D.E. 1986 . A note on Albert and Anderson's conditions for the existence of maximum likelihood estimates in logistic regression models . Biometrika , 73 : 755 – 58 .
  • Cary , NC . 1985 . User's Guide for Personal Computers , 243 Sas Institute Inc .
  • Schaefer , R.L. , Roi , L.D. and Wolfe , R.A. 1984 . A ridge logistic estimator . Communications in Statistics-Theory and Methods , 13 ( 1 ) : 99 – 113 .
  • Schaefer , R.L. 1986 . Alternative estimators in logistic regression when the data are collinear . Journal of Statistical Computations and Simulations , 25 ( 1 ) : 75 – 91 .
  • Vaeth , M. 1985 . On the use of Waldos test in exponential families . International Statistical Review , 53 ( 2 ) : 199 – 214 .
  • Weissfeld , L.A. and Sereika , S.M. 1991 . A multicollinearity diagnostic for generalized linear models . Communications in Statistics-Theory and Methods , 20 ( 4 ) : 1183 – 98 .

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