Testing Goodness of Fit for a Parametric Family of Link Functions

References

• Aranda-Ordaz , F. J. 1981 . “On Two Families of Transformations to Additivity for Binary Response Data,” . Biometrika , 68 : 357 – 363 .
   Web of Science ®Google Scholar
• Baker , R. J. and Nelder , J. A. 1978 . The GUM System Release 3 Manual , Oxford , , UK : Numerical Algorithms Group .
   Google Scholar
• Bliss , C. I. 1935 . “The Calculation of the Dosage-Mortality Curve,” . Annals of Applied Biology , 22 : 134 – 167 .
   Google Scholar
• Brillinger , D. R. 1982 . “A Generalized Linear Model With ‘Gaussian’ Regressor Variables,” . In A Festschrift for Eric L. Lehmann , Edited by: Bickel , P. J. , Doksum , K. and Hodges , J. L. 97 – 114 . Belmont , CA : Wadsworth International Group .
   Google Scholar
• Draper , N. R. and Smith , H. 1981 . Applied Regression Analysis, , 2nd ed. , New York : John Wiley .
   Google Scholar
• Duan , N. and Li , K.-C. 1987 . “Distribution-Free and Link-Free Estimation for the Sample Selection Model,” . Journal of Econometrics , 35 : 25 – 35 .
   Web of Science ®Google Scholar
• Fienberg , S. E. and Gong , G. D. 1984 . Comment on “Graphical Methods for Assessing Logistic Regression Models,” . Journal of the American Statistical Association , 79 : 72 – 77 . by J. M. Landwehr, D. Pregibon, and A. C. Shoemaker
   Web of Science ®Google Scholar
• Finney , D. J. 1947 . “The Estimation From Individual Records of the Relationship Between Dose and Quantal Response,” . Biometrika , 34 : 320 – 334 .
   PubMed Web of Science ®Google Scholar
• Landwehr , J. M. , Pregibon , D. and Shoemaker , A. C. 1984 . “Graphical Methods for Assessing Logistic Regression Models” . Journal of the American Statistical Association , 79 : 61 – 83 . (with discussion)
   Web of Science ®Google Scholar
• Liang , K.-Y. and Zeger , S. L. 1986 . “Longitudinal Data Analysis Using Generalized Linear Models,” . Biometrika , 73 : 13 – 22 .
   Web of Science ®Google Scholar
• McCullagh , P. 1983 . “Quasi-Likelihood Functions,” . The Annals of Statistics , 11 : 59 – 67 .
   Web of Science ®Google Scholar
• McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models, , 2nd ed. , London : Chapman and Hall .
   Google Scholar
• Müller , H.-G. 1984 . “Smooth Optimum Kernel, Estimators of Densities, Regression Curves and Models,” . The Annals of Statistics , 12 : 766 – 774 .
   Web of Science ®Google Scholar
• Pierce , D. A. and Schafer , D. W. 1986 . “Residuals in Generalized Linear Models,” . Journal of the American Statistical Association , 81 : 977 – 986 .
   Web of Science ®Google Scholar
• Powell , J. L. , Stock , J. H. and Stocker , T. M. 1989 . “Semiparametric Estimation of Index Coefficients,” . Econometrica , 57 : 1403 – 1430 .
   Web of Science ®Google Scholar
• Pregibon , D. 1980 . “Goodness of Link Test for Generalized Linear Models,” . Applied Statistics , 29 : 15 – 23 .
   Google Scholar
• Pregibon , D. 1985 . “Link Tests,” . In Encyclopedia of Statistical Sciences , Edited by: Kotz , S. , Johnson , N. L. and Read , C. B. Vol. 5 , 82 – 85 . New York : John Wiley .
   Google Scholar
• Prentice , R. L. 1976 . “A Generalization of the Probit and Logit Methods for Dose-Response Curves,” . Biometrics , 32 : 761 – 768 .
   PubMed Web of Science ®Google Scholar
• Serfling , R. J. 1980 . Approximation Theorems of Mathematical Statistics , New York : John Wiley .
   Google Scholar
• Su , J. Q. and Wei , L. J. 1991 . “A Lack-of-Fit Test for the Mean Function in a Generalized Linear Model,” . Journal of the American Statistical Association , 86 : 420 – 426 .
   Web of Science ®Google Scholar
• Tsiatis , A. A. 1980 . “A Note on a Goodness-of-Fit Test for the Logistic Regression Without Replication,” . Biometrika , 67 : 250 – 251 .
   Web of Science ®Google Scholar
• Wedderburn , R. W. M. 1974 . “Quasi-Likelihood Functions, Generalized Linear Models, and the Gauss-Newton Method,” . Biometrika , 61 : 439 – 447 .
   Web of Science ®Google Scholar
• White , H. 1980 . “A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity,” . Econometrica , 48 : 817 – 838 .
   Web of Science ®Google Scholar
• White , H. 1982 . “Maximum Likelihood Estimation of Misspecified Models,” . Econometrica , 50 : 1 – 25 .
   Web of Science ®Google Scholar