Efficient design and analysis of biospecimens with measurements subject to detection limit

Biometrical Journal

Volumn 48, Issue 5, 2006, Pages 780-791

  Vexler, Albert ^a   Liu, Aiyi ^a   Schisterman, Enrique F ^a  

^a EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH AND HUMAN DEVELOPMENT   (United States)

Author keywords

Detection limit; Information matrix; Pooling design; Random sampling; Truncated Censored data

Indexed keywords

MATRIX ALGEBRA;

CENSORED DATA; DESIGN AND ANALYSIS; DETECTION LIMITS; EFFICIENT ANALYSIS; EFFICIENT DESIGNS; INFORMATION MATRIX; POOLING DESIGNS; RANDOM SAMPLING; SAMPLING STRATEGIES; TRUNCATED/CENSORED DATA;

NORMAL DISTRIBUTION;

EID: 33750520510     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.200610266     Document Type: Article

References (17)

1. Chapman, D. G. (1956). Estimating the parameters of a truncated gamma distribution. Annals of Mathematical Statistics 27, 498-506.
2. Cohen, A. C., Jr. (1955). Restriction and selection in samples from bivariate normal distributions. Journal of the American Statistical Association 50, 884-893.
3. Dorfman, R. (1943). The detection of defective members of large populations. Annals of Mathematical Statistics 14, 436-440.
4. Faraggi, D., Reiser, B., and Schisterman, E. F.(2003). ROC curve analysis for biomarkers based on pooled assessments. Statistics in Medicine 15, 2515-2527.
5. Finkelstein, M. M. and Verma, D. K. (2001). Exposure estimation in the presence of nondetectable values: another look. American Industrial Hygiene Association Journal 62, 195-198.
6. Gupta, A. K. (1952). Estimation of the mean and standard deviation of a normal population from a censored sample. Biometrika 39, 260-273.
7. Harter, H. L. and Moore, A. H. (1966). Iterative maximum-likelihood estimation of the parameters of normal populations from singly and doubly censored samples. Biometrika 53, 205-213.
8. Harter, H. L. and Moore, A. H. (1967). Asymptotic variances and covariances of maximum-likelihood estimators, from censored samples, of the parameters of Weibull and Gamma populations. Annals of Mathematical Statistics 38, 557-570.
9. Helsel, D. (2005). Nondetects and data analysis: Statistics for censored environmental data. Wiley, New Jersey.
10. Liu, A. and Schisterman, E. (2003). Comparison of diagnostic accuracy of biomarkers with pooled assessments. Biometrical Journal 45, 631-644.
11. Lynn, H. S. (2001). Maximum likelihood inference for left-censored HIV RNA data. Statistics in Medicine 20, 33-45.
12. Persson, T. and Rootzen, H. (1977). Simple and highly efficient estimators for Type I censored normal sample. Biometrika 64, 123-128.
13. Schisterman, E. F., Perkins, N., Liu, A. and Bondell, H. (2005). Optimal cut-point and its corresponding Youden index to discriminate individuals using pooled blood samples. Epidemiology 16, 73-81.
14. Schisterman, E. F., Vexier, A., Whitcomb, B. W. and Liu, A. (2006). The limitations due to exposure detection limits for regression models. American Journal of Epidemiology 163, 374-383.
15. Sterrett, A. (1957). On the detection of defective members of large populations. Annals of Mathematical Statistics 28, 1033-1036.
16. Wilks, S. S. (1932). Moments and distributions of estimates of population parameters from fragmentary samples. Annals of Mathematical Statistics 3, 163-195.
17. Weinberg, C. R. and Umbach, D. M. (1999). Using pooled exposure assessment to improve efficiency in case-control studies. Biometrics 55, 718-726.