Confidence Interval Estimation for Sensitivity at a Fixed Level of Specificity for Combined Biomarkers

REFERENCES

• Agresti , A. , Coull , B. A. ( 1998 ). Approximate is better than exact for interval estimation of binomial proportions . American Statistician 52 : 119 – 126 .
   Web of Science ®Google Scholar
• Attallah , A. M. , Mosa , T. E. , Omran , M. M. , Abo-Zeid , M. M. , Ibrahim, El-Dosoky , I. , Shaker , Y. M. ( 2007 ). Immunodetection of collagen types I, II, III, and IV for differentiation of liver fibrosis stages in patients with chronic HCV . Journal of Immunoassay and Immunochemistry 28 : 155 – 168 .
   PubMed Web of Science ®Google Scholar
• Cox , L. H. , Johnson , M. M. , Kafadar , K. ( 1982 ). Exposition of statistical graphics technology. ASA Proceedings of the Statistical Computation Section pp. 55–56 .
   Google Scholar
• Iyer , H. K. , Wang , C. M. , Mathew , T. ( 2004 ). Models and confidence intervals for true values in interlaboratory trials . Journal of the American Statistical Association 99 ( 12 ): 1060 – 1071 .
   Google Scholar
• Krishnamoorthy , K. , Lu , Y. ( 2003 ). Inference on the common means of several normal populations based on the generalized variable method . Biometrics 59 : 237 – 247 .
   PubMed Web of Science ®Google Scholar
• Li , C. , Liao , C. , Liu , J. ( 2008a ). On the exact interval estimation for the difference in paired areas under the ROC curves . Statistics in Medicine 27 : 224 – 242 .
   PubMed Web of Science ®Google Scholar
• Li , C. , Liao , C. , Liu , J. ( 2008b ). A non-inferiority test for diagnostic accuracy based on the paired partial areas under ROC curves . Statistics in Medicine 27 : 1762 – 1776 .
   PubMed Web of Science ®Google Scholar
• Liao , C. T. , Lin , C. Y. , Liu , J. P. ( 2007 ). Noninferiority tests based on concordance correlation coefficient for assessment of the agreement for gene expression data from microarray experiments . Journal of Biopharmaceutical Statistics 17 : 309 – 327 .
   PubMed Web of Science ®Google Scholar
• Lin , S. H. , Lee , J. C. , Wang , R. S. ( 2007 ). Generalized inferences on the common mean vector of several multivariate normal populations . Journal of Statistical Planning Inference 137 : 2240 – 2249 .
   Web of Science ®Google Scholar
• Linnet , K. ( 1987 ). Comparison of quantitative diagnostic tests: Type I error, power, and sample size . Statistics in Medicine 6 : 147 – 158 .
   PubMed Web of Science ®Google Scholar
• Liu , A. , Schisterman , E. F. , Zhu , Y. ( 2005 ). On linear combinations of biomarkers to improve diagnostic accuracy . Statistics in Medicine 24 : 37 – 47 .
   PubMed Web of Science ®Google Scholar
• Liu , J. , Lu , L. , Liao , C. ( 2009 ). Statistical inference for the within-device precision of quantitative measurements in assay validation . Journal of Biopharmaceutical Statistics 19 : 763 – 778 .
   PubMed Web of Science ®Google Scholar
• Lu , L. J. , Xia , Y. , Paccanaro , A. , Yu , H. , Gerstein , M. ( 2005 ). Assessing the limits of genomic data integration for predicting protein networks . Genome Research 15 : 945 – 953 .
   PubMed Web of Science ®Google Scholar
• Pepe , M. S. ( 2003 ). The Statistical Evaluation of Medical Tests for Classification and Prediction. Woxford Statistical Science Series, Oxford University Press 28 .
   Google Scholar
• Pepe , M. S. , Thompson , M. L. ( 2000 ). Combining diagnostic test results to increase accuracy Margaret . Biostatistics 1 – 2 : 123–140 .
   PubMedGoogle Scholar
• Platt , R. W. , Hanley , J. A. , Yang , H. ( 2000 ). Bootstrap confidence intervals for the sensitivity of a quantitative diagnostic test . Statistics in Medicine 19 : 313 – 322 .
   PubMed Web of Science ®Google Scholar
• Reiser , B. ( 2000 ). Measuring the effectiveness of diagnostic markers in the presence of measurement error through the use of ROC curves . Statistics in Medicine 19 : 2115 – 2129 .
   PubMed Web of Science ®Google Scholar
• Reiser , B. , Faraggi , D. ( 1997 ). Confidence intervals for the generalized ROC criterion . Biometrics 53 : 644 – 652 .
   PubMed Web of Science ®Google Scholar
• Schisterman , E. F. , Faraggi , D. , Browne , R. , Freudenheim , J. , Dorn , J. , Muti , P. , Armstrong , D. , Reiser , B. , Trevisan , M. ( 2002 ). Minimal and best linear combination of oxidative stress and antioxidant biomarkers to discriminate cardiovascular disease . Nutrition, Metabolism & Cardiovascular Diseases 12 : 259 – 266 .
   PubMed Web of Science ®Google Scholar
• Shapiro , D. ( 1999 ). The interpretation of diagnostic tests . Statistical Methods in Medical Research 8 : 113 – 134 .
   PubMed Web of Science ®Google Scholar
• Su , J. , Liu , J. S. (1993). Linear combinations of multiple diagnostic markers. Journal of the American Statistical Association 88:1350–1355.
   Web of Science ®Google Scholar
• Tian , L. ( 2008 ). Generalized inferences on the overall treatment effect in meta-analysis with normally distributed outcomes . Biometrical Journal 50 : 237 – 247 .
   PubMedGoogle Scholar
• Tian , L. ( 2010 ). Confidence interval estimation of partial area under curve based on combined biomarkers . Computational Statistics & Data Analysis 54 : 466 – 472 .
   Web of Science ®Google Scholar
• Tian , L. , Cappelleri , J. C. ( 2004 ). A new approach for interval estimation and hypothesis testing of a certain intraclass correlation coefficient: The generalized variable method . Statistics in Medicine 23 : 2125 – 2135 .
   PubMed Web of Science ®Google Scholar
• Tian , L. , Vexler , A. , Yan , L. , Schisterman , E. ( 2009 ). Confidence interval estimation of the difference between paired AUCS based on combined biomarkers . Journal of Statistical Planning and Inference 39 : 3725 – 3732 .
   Google Scholar
• Tsui , K. W. , Weerahandi , S. ( 1989 ). Generalized P-value in significance testing of hypotheses in the presence of nuisance parameters . Journal of American Statistical Association 84 : 602 – 607 .
   Web of Science ®Google Scholar
• Weber , F. , Shen , L. , et al. ( 2005 ). Genetic classification of benign and malignant thyroid follicular feoplasia based on a three-Gene combination . Journal of Clinical Endocrinology & Metabolism 90 : 2512 – 2521 .
   PubMed Web of Science ®Google Scholar
• Weerahandi , S. ( 1993 ). Generalized confidence intervals . Journal of American Statistical Association 88 : 899 – 905 .
   Web of Science ®Google Scholar
• Weerahandi , S. ( 1995 ). ANOVA under unequal error variances . Biometrics 51 : 589 – 599 .
   Web of Science ®Google Scholar
• Weerahandi , S. ( 2003 ). Exact Statistical Methods for Data Analysis . New York , NY : Springer .
   Google Scholar
• Weerahandi , S. , Berger , V. W. ( 1999 ). Exact inference for growth curves with intraclass correlation structure . Biometrics 55 : 921 – 924 .
   PubMed Web of Science ®Google Scholar
• Zhou , X.-H. , Obuchowski , N. , McClish , D. ( 2002 ). Statistical Methods in Diagnostic Medicine . New York , NY : Wiley .
   Google Scholar
• Zhou , X.-H. , Qin , G. ( 2005 ). Improved confidence intervals for the sensitivity at a fixed level of specificity of a continuous-scale diagnostic testf . Statistics in Medicine 24 : 465 – 477 .
   PubMed Web of Science ®Google Scholar