Semiparametric methods for evaluating the covariate-specific predictiveness of continuous markers in matched case-control studies

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 59, Issue 3, 2010, Pages 437-456

  Huang, Y ^a   Pepe, M S ^b  

^a Och Spine at New York Presbyterian Hospitals   (United States)

^b Fred Hutchinson Cancer Research Center   (United States)

Author keywords

Biomarker; Covariate; Matching; Predictiveness curve; Risk

Indexed keywords

EID: 77956002848     PISSN: 00359254     EISSN: 14679876     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2009.00707.x     Document Type: Article

References (29)

1. Baker S G, Kramer B S, Srivastava S. Markers for early detection of cancer: statistical guidelines for nested case-control studies. BMI Med. Res. Methodol. 2002, 2:4.
2. Breslow N E, Cain K C. Logistic regression for two-stage case-control data. Biometrika 1988, 75:11-20.
3. Breslow N E, Holubkov R. Maximum likelihood estimation of logistic regression parameters under two-phase, outcome-dependent sampling. J. R. Statist. Soc. B 1997a, 59:447-461.
4. Breslow N E, Holubkov R. Weighted likelihood, pseudo-likelihood and maximum likelihood methods for logistic regression analysis of two-stage data. Statist. Med. 1997b, 16:103-116.
5. Breslow N E, Zhao L P. Logistic regression for stratified case-control studies. Biometrics 1988, 44:891-899.
6. Cole T J, Green P J. Smoothing reference centile curves: the LMS method and penalized likelihood. Statist. Med. 1992, 11:1305-1319.
7. Cook N R. Use and misuse of the receiver operating characteristic curve in risk prediction. Circulation 2007, 115:928-935.
8. Cook N R, Buring J E, Ridker P M. The effect of including C-reactive protein in cardio-vascular risk prediction models for women. Ann. Intern. Med. 2006, 145:21-29.
9. Fears T R, Brown C C. Logistic regression methods for retrospective case-control studies using complex sampling procedures. Biometrics 1986, 42:955-960.
10. Flanders W D, Greenland S. Analytic methods for two-stage case-control studies and other stratified designs. Statist. Med. 1991, 10:739-747.
11. Heagerty P J, Pepe M S. Semiparametric estimation of regression quantiles with application to standardizing weight for height and age in US children. Appl. Statist. 1999, 48:533-551.
12. Horvitz D G, Thompson D J. A generalization of sampling without replacement from a finite universe. J. Am. Statist. Ass. 1952, 47:663-685.
13. Hsieh D A, Manski C F, McFadden D. Estimation of response probabilities from augmented retrospective observations. J. Am. Statist. Ass. 1985, 80:651-662.
14. Huang Y. Evaluating the predictiveness of continuous biomarkers. 2007, University of Washington, Seattle
15. Huang Y, Pepe M S. Semiparametric methods for evaluating risk prediction markers in case-control studies. Biometrika 2009, 96:991-997.
16. Huang Y, Pepe M S, Feng Z. Evaluating the predictiveness of a continuous marker. Biometrics 2007, 63:1181-1188.
17. Janssens A C, Deng Y, Borsboom G J, Eijkemans M J, Habbema J D, Steyerberg E W. A new logistic regression approach for the evaluation of diagnostic test results. Med. Decsn Makng 2005, 25:168-177.
18. Krijnen P, van Jaarsveld B C, Steyerberg E W, Man in 't Veld A J, Schalekamp M A, Habbema J D. A clinical prediction rule for renal artery stenosis. Ann. Intern. Med. 1998, 129:705-711.
19. Manski C F, McFadden D. Alternative estimators and sample designs for discrete choice analysis. Structural Analysis of Discrete Data with Econometric Applications 1981, 2-50. Cambridge, Massachusetts Institute of Technology Press
20. Owen A B. Empirical likelihood ratio confidence intervals for a single functional. Biometrika 1988, 75:237-249.
21. Owen A B. Empirical likelihood ratio confidence regions. Ann. Statist. 1990, 18:90-120.
22. Pepe M S. The Statistical Evaluation of Medical Tests for Classification and Prediction 2003, Oxford, Oxford University Press
23. Pepe M S, Etzioni R, Feng Z, Potter J D, Thompson M L, Thornquist M, Winget M, Yasui Y. Phases of biomarker development for early detection of cancer. J. Natn. Cancer Inst. 2001, 93:1054-1061.
24. Pepe M S, Feng Z, Huang Y, Longton G M, Prentice R, Thompson I M, Zheng Y. Integrating the predictiveness of a marker with its performance as a classifier. Am. J. Epidem. 2008a, 167:362-368.
25. Pepe M S, Feng Z, Janes H, Bossuyt P M, Potter J D. Pivotal evaluation of the accuracy of a biomarker used for classification or prediction: standards for study design. J. Natn. Cancer Inst. 2008b, 100:1432-1438.
26. Qin J, Lawless J. Empirical likelihood and general estimating equations. Ann. Statist. 1994, 22:300-325.
27. Scott A, Wild C. Fitting regression models to case-control data by maximum likelihood. Biometrika 1997, 84:57-71.
28. Scott A, Wild C. Case-control studies with complex sampling. Biometrika 2001, 50:389-401.
29. Wild C J. Fitting prospective regression models to case-control data. Biometrika 1991, 78:705-717.