Semi-empirical likelihood inference for the ROC curve with missing data

Journal of Statistical Planning and Inference

Volumn 142, Issue 12, 2012, Pages 3123-3133

  Liu, Xiaoxia ^a   Zhao, Yichuan ^b  

^a BRIGHAM AND WOMEN S HOSPITAL   (United States)

^b GEORGIA STATE UNIVERSITY   (United States)

Author keywords

Confidence interval; Empirical likelihood; Estimating equation; Hot deck imputation; ROC curve

Indexed keywords

EID: 84865572931     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2012.06.011     Document Type: Article

References (19)

1. Andridge R.R., Little R.J.A. A review of hot deck imputation for survey non-response. International Statistical Review 2010, 78:40-64.
2. Chen J., Rao J.N.K. Asymptotic normality under two-phase sampling designs. Statistica Sinica 2007, 17:1047-1064.
3. Chen S.X., Hall P. Smoothed empirical likelihood confidence intervals for quantiles. Annals of Statistics 1993, 21:1166-1181.
4. Claeskens G., Jing B.-Y., Peng L., Zhou W. Empirical likelihood confidence regions for comparison distributions and ROC curves. Canadian Journal of Statistics/La Revue Canadienne de Statistique 2003, 31:173-190.
5. Hall P., La Scala B. Methodology and algorithms of empirical likelihood. International Statistical Review 1990, 58:109-127.
6. Liang H., Zhou Y. Semiparametric inference for ROC curves with censoring. Scandinavian Journal of Statistics 2008, 35:212-227.
7. Little R.J.A., Rubin D.B. Statistical Analysis with Missing Data 2002, John Wiley & Sons. 2nd edition.
8. Lloyd C.J. Using smoothed receiver operating characteristic curves to summarize and compare diagnostic systems. Journal of the American Statistical Association 1998, 93:1356-1364.
9. Owen A.B. Empirical likelihood ratio confidence intervals for a single functional. Biometrika 1988, 75:237-249.
10. Owen A.B. Empirical likelihood ratio confidence regions. Annals of Statistics 1990, 18:90-120.
11. Pepe M.S. The Statistical Evaluation of Medical Tests for Classification and Prediction 2003, Oxford University Press, Oxford.
12. Qin J. Semi-empirical likelihood ratio confidence intervals for the difference of two sample means. Annals of the Institute of Statistical Mathematics 1994, 46:117-126.
13. Qin Y., Zhang J. Semi-empirical likelihood confidence intervals for the differences of quantiles with missing data. Acta Mathematica Sinica, English Series 2009, 25:845-854.
14. Qin Y.S. Semi-parametric likelihood ratio confidence intervals for various differences of two populations. Statistics & Probability Letters 1997, 33:135-143.
15. Ren H., Zhou X.-H., Liang H. A flexible method for estimating the ROC curve. Journal of Applied Statistics 2004, 31:773-784.
16. Su H., Qin Y., Liang H. Empirical likelihood-based confidence interval of ROC curves. Statistics in Biopharmaceutical Research 2009, 1:407-414.
17. Thomas D.R., Grunkemeier G.L. Confidence interval estimation of survival probabilities for censored data. Journal of the American Statistical Association 1975, 70:865-871.
18. Yang H., Zhao Y. Smoothed empirical likelihood for ROC curves with censored data. Journal of Multivariate Analysis 2012, 109:254-263.
19. Zou K.H., Hall W.J., Shapiro D.E. Smooth non-parametric receiver operating characteristic (ROC) curves for continuous diagnostic tests. Statistics in Medicine 1997, 16:2143-2156.