References
- Box , G. E. , Hunter , W. G. , Hunter , J. S. and Hunter , W. G. 2005 . Statistics for Experimenters: Design, Innovation, and Discovery , 2 , New Jersey : John Wiley & Sons .
- Chan , L. Y. , Ma , C. X. and Goh , T. N. 2003 . Orthogonal arrays for experiments with lean designs . J. Qual. Technol. , 35 ( 2 ) : 123 – 138 .
- David , H. A. and Nagaraja , H. N. 2003 . Order Statistics , 3 , New Jersey : John Wiley & Sons .
- Dorfman , R. 1943 . The detection of defective members of large populations . Ann. Math. Stat. , 14 : 436 – 440 .
- Fang , K. T. , Lin , D. K.J. and Ma , C. X. 2000 . On the construction of multi-level supersaturated designs . J. Statist. Plann. Inference , 86 ( 1 ) : 239 – 252 .
- Faraggi , D. , Reiser , B. and Schisterman , E. 2003 . ROC curve analysis for biomarkers based on pooled assessments . Stat. Med. , 22 : 2515 – 2527 .
- Laden , F. , Hankinson , S. E. , Wolff , M. S. , Colditz , G. A. , Willett , W. C. , Speizer , F. E. and Hunter , D. J. 2001 . Plasma organochlorine levels and the risk of breast cancer: An extended follow-up in the Nurses’ Health Study . Int. J. Cancer , 91 : 568 – 574 .
- Laden , F. and Hunter , D. J. 1998 . Environmental risk factors and female breast cancer . Annu. Rev. Public Health , 19 : 101 – 123 .
- Liu , A. and Schisterman , E. F. 2003 . Comparison of diagnostic accuracy of biomarkers with pooled assessments . Biom. J. , 45 : 631 – 644 .
- Louis , G. M. , Weiner , J. M. , Whitcomb , B. W. , Sperrazza , R. , Schisterman , E. F. , Lobdell , D. T. , Crickard , K. , Greizerstein , H. and Kostyniak , P. J. 2005 . Environmental PCB exposure and risk of endometriosis . Hum. Reprod. , 20 ( 1 ) : 279 – 285 .
- Ma , C. X. , Fang , K. T. and Liski , E. 2000 . A new approach in constructing orthogonal and nearly orthogonal arrays . Metrika , 50 ( 3 ) : 255 – 268 .
- Mullen , K. 1967 . A note on the ratio of two independent random variables . Amer. Statist. , 21 ( 3 ) : 30 – 31 .
- Mumford , S. L. , Schisterman , E. F. , Vexler , A. and Liu , A. 2006 . Pooling biospecimens and limits of detection: Effects on ROC curve analysis . Biostatistics , 7 ( 4 ) : 585 – 598 .
- Schisterman , E. F. and Vexler , A. 2008 . To pool or not to pool: From whether to when: Applications of pooling to biospecimens subject to a limit of detection . Paediatr. Perinat. Epidemiol. , 22 : 486 – 496 .
- Sterrett , A. 1957 . On the detection of defective members of large populations . Ann. Math. Stat. , 28 : 1033 – 1036 .
- Vexler , A. , Liu , A. and Schisterman , E. F. 2006 . Efficient design and analysis of biospecimens with measurements subject to detection limit . Biom. J. , 48 ( 5 ) : 780 – 791 .
- Vexler , A. , Schisterman , E. F. and Liu , A. 2008 . Estimation of ROC curves based on stably distributed biomarkers subject to measurement error and pooling mixtures . Stat. Med. , 27 : 280 – 296 .
- Yudkin , J. S. , Kumari , M. , Humphries , S. E. and Mohamed-Ali , V. 2000 . Inflammation, obesity, stress and coronary heart disease: Is interleukin-6 the link? . Atherosclerosis , 148 : 209 – 214 .