Some notes on parametric link functions in clinical research

Ottenbacher KJ , Linn RT , Smith PM , Illig SB , Mancuso M. , Granger CV Comparison of logistic regression and neural network analysis applied to predicting living setting after hip fracture. Ann Epidemiol Sep 2004; 14(8): 551-59.

Ottenbacher KJ , Smith PM , Illig SB , Linn RT , Fiedler RC , Granger CV Comparison of logistic regression and neural networks to predict rehospitalization in patients with stroke. J Clin Epidemiol Nov 2001; 54(11): 1159-65.

Schwarzer G. , Vach W. , Schumacher M. On the misuses of artificial neural networks for prognostic and diagnostic classification in oncology. Stat Med Feb 29 2000; 19(4): 541-61.

Hadorn DC , Draper D. , Rogers WH , Keeler EB , Brook RH Cross-validation performance of mortality prediction models. Stat Med Feb 28 1992; 11(4): 475-89.

Prentice RL Generalization of the probit and Logit Methods for Dose Response Curves. Biometrics 1976; 32: 761-68.

Pregibon D. Goodness of link tests for generalized linear models. Applied Statistics 1980; 29: 15-24.

Czado C. Parametric link modification of both tails in binary regression. Statistical Papers 1994; 35: 189-201.

Stukel TA Generalized Logistic Models. Journal of the American Statistical Association 1988; 83(402): 426-31.

Aranda-Ordaz FJ On two families of transformations to Additivity for Binary Response data. Biometrika 1981; 68: 357-63.

Newton MA , Czado C. , Chappell R. Bayesian Inference for Semiparametric Binary Regression. Journal of the American Statistical Association 1996; 91(433): 142-53.

McCullagh P. , Nelder JA Generalized linear Models (2nd edn). Chapman and Hall, New York; 1989 .

Greene WH Econometric analysis (6th edn). Prentice-Hall, NJ; 2008.

Cortigiani L. , Bigi R. , Gregori D. , Sicari R. , Picano E. Prognostic value of a multiparametric risk score in patients undergoing dipyridamole stress echocardiography. Am J Cardiol Aug 15 2005; 96(4): 529-32.

Berning J. , Steensgaard-Hansen F. Early estimation of risk by echocardiographic determination of wall motion index in an unselected population with acute myocardial infarction. Am J Cardiol Mar 1 1990; 65(9): 567-76.

Silvestri L. , Maffessanti M. , Gregori D. , Berlot G. , Gullo A. Usefulness of routine pre-operative chest radiography for anaesthetic management: a prospective multicentre pilot study . Eur J Anaesthesiol Nov 1999; 16(11): 749-60.

Gianrossi R. , Detrano R. , Mulvihill D. , et al. Exercise-induced ST depression in the diagnosis of coronary artery disease. A meta-analysis. Circulation Jul 1989; 80(1): 87-98.

Okin PM , Kligfield P. Heart rate adjustment of ST segment depression and performance of the exercise electrocardiogram: a critical evaluation. J Am Coll Cardiol Jun 1995; 25(7): 1726-35.

Bigi R. , Maffi M. , Occhi G. , Bolognese L. , Pozzoni L. Improvement in identification of multivessel disease after acute myocardial infarction following stress-recovery analysis of ST depression in the heart rate domain during exercise. Eur Heart J Sep 1994; 15(9): 1240-46.

Bo S. , Ciccone G. , Grassi G. , et al. Patients with type 2 diabetes had higher rates of hospitalization than the general population. J Clin Epidemiol Nov 2004; 57(11): 1196-201.

Wu X. , Luo Z. Second order approach to local influence. Journal of the Royal Statistical Society, Series B 1993; 55: 929-36.

Lee AH Assessing partial influence in generalized linear models. Biometrics 1988; 44: 71-7.

Czado C. Link misspecification and data selected transformations in binary regression models. School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY; 1989.

Czado C. , Raftery AE Choosing the link function and accounting for link uncertainty in generalized linear models using Bayes factors. Statistical Papers 2006; 47(3): 419-42.

Rafterty AE Approximate Bayes Factors and Accounting for Model Uncertainty in Generalized Linear Models Biometrika 1996; 83: 251-66.

Czado C. , Santer TJ The effect of link misspecification on binary regression inference. Journal of Statistical Planning and Inference 1992; 33: 213-31.

Czado C. On selecting parametric link transformation families in generalized linear models. Journal of Statistical Planning and Inference 1997; 61(1): 125-139.

Czado C. , Santer TJ Orthogonalizing parametric link transformation families in binary regression analysis. Canadian Journal of Statistics 1992 ; 20: 51-62.

Czado C. , Munk A. Noncanonical links in generalized linear models - when is the effort justified? Journal of Statistical Planning and Inference 2000; 87(2): 317-45.

Yick JS , Lee AH Sensitivity of parametric link functions in generalized linear models. Journal of Biopharmaceutical Statistics 1998; 8(3): 391-406.