Exact inference for the Youden index to discriminate individuals using two-parameter exponentially distributed pooled samples

References

• Collison P. Of bombers, radiologists, and cardiologists: time to ROC. Heart. 1988;80(3):215–217. doi: 10.1136/hrt.80.3.215
   Google Scholar
• Swets JA. Signal detection theory and ROC analysis in psychology and diagnostics: collected papers. Mahwah (NJ): Lawrence Erlbaum Associates; 1996.
   Google Scholar
• Marzaban C. The ROC curve and the area under it as performance measures. Weather Forecast. 2004;19:1106–1114. doi: 10.1175/825.1
   Google Scholar
• Krzanowski WJ, Hand DJ. ROC curves for continuous data. Boca Raton (FL): Chapman & Hall, an imprint of CRC Press, a division of Taylor & Francis; 2009.
   Google Scholar
• Lasko TA, Bhagwat JG, Zou KH, et al. The use of receiver operating characteristic curves in biomedical informatics. J Biomed Inform. 2005;38:404–415. doi: 10.1016/j.jbi.2005.02.008
   Google Scholar
• Morrison AM, Coughlin K, Shine JP, et al. Receiver operating characteristic curve analysis of beach water quality indicator variables. Appl Environ Microbiol. 2009;69:6405–6411. doi: 10.1128/AEM.69.11.6405-6411.2003
   Google Scholar
• Fluss R, Faraggi D, Reiser B. Estimation of the Youden index and its associated cut-off point. Biom J. 2005;47(4):458–472. doi: 10.1002/bimj.200410135
   Google Scholar
• Shapiro DE. The interpretation of diagnostic tests. Stat Methods Med Res. 1999;8(2):113–134. doi: 10.1177/096228029900800203
   Google Scholar
• Greiner M, Pfeiffer D, Smith RD. Principles and practical application of the receiver operating characteristic analysis for diagnostic tests. Prev Vet Med. 2000;45(1–2):23–41. doi: 10.1016/S0167-5877(00)00115-X
   Google Scholar
• Demir A, Yarali N, Fisigin T, et al. Most reliable indices in differentiation between thalassemial trait and iron deficiency anemia. Pediatr Int. 2002;44(6):612–616. doi: 10.1046/j.1442-200X.2002.01636.x
   Google Scholar
• Schisterman EF, Fraggi D, Reiser B, et al. Youden index and the optimal threshold for markers with mass at zero. Stat Med. 2008;27(2):297–315. doi: 10.1002/sim.2993
   Google Scholar
• Cox LH, Johnson MM, Kafadar K. Exposition of statistical graphics technology. Proceedings of the Annual Meetings of the American Statistical Association (ASA); 1982 Aug 16–19; Cincinnati (OH). 1982. p. 55–56.
   Google Scholar
• Johnson NL, Kotz S, Balakrishnan N. Continuous univariate distributions. New York (NY): Wiley; 1994.
   Google Scholar
• Sinha SK, Kale BK. Life testing and reliability estimation. New York (NY): Halsted Press; 1980.
   Google Scholar
• Lawless JF. Statistical models and methods for lifetime data. New York (NY): Wiley; 1982.
   Google Scholar
• Weerahandi S. Generalized confidence intervals. J Am Stat Assoc. 1993;88(423):899–905. doi: 10.1080/01621459.1993.10476355
   Google Scholar
• Tsui K, Weerahandi S. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. J Am Stat Assoc. 1989;84(406):602–607.
   Google Scholar
• Efron B. The jackknife, the bootstrap and other resampling plans. Conference Board of Mathematical Sciences (CBMS)-National Science Foundation (NSF) Regional Conference Series in Applied Mathematics; 38 Society of Industrial & Applied Mathematics (SIAM). Philadelphia (PA); 1982.
   Google Scholar
• Hall P. Theoretical comparison of bootstrap confidence intervals. Ann Stat. 1993;16(3):927–953. doi: 10.1214/aos/1176350933
   Google Scholar
• Weerahandi S. Generalized point estimation with application to small response estimation. Commun Stat Theory Methods. 2012;41(22):4069–4095. doi: 10.1080/03610926.2010.533233
   Google Scholar
• Gunasekera S. Inference for the reliability function based on progressively type II censored data from the Pareto model: the generalized variable approach. J Comput Appl Math. 2018;343:275–288. doi: 10.1016/j.cam.2018.03.040
   Google Scholar
• Gunasekera S. Inference for the Burr XII reliability under progressive censoring with random removals. Math Comput Simul. 2018;144:182–195. doi: 10.1016/j.matcom.2017.07.011
   Google Scholar
• Gunasekera S. Inferences on functions of Pareto parameters with applications to income inequality. Commun Stat Simul Comput. 2017;46(2):933–947. doi: 10.1080/03610918.2014.983653
   Google Scholar
• Gunasekera S. Generalized inferences for the expected winning bids. Am J Math Manage Sci. 2016;35(4):309–326.
   Google Scholar
• Gunasekera S. Generalized inference of R=Pr(X>Y) for Pareto distribution. Stat Papers. 2015;56(2):333–351. doi: 10.1007/s00362-014-0584-8
   Google Scholar
• Gunasekera S, Ananda MMA. Generalized variable method inference for the location parameter of the general half-normal distribution. J Stat Comput Simul. 2015;85(10):2115–2132. doi: 10.1080/00949655.2014.923424
   Google Scholar
• Weerahandi S. Exact statistical methods for data analysis. New York (NY): Springer; 1995.
   Google Scholar
• Krishnamoorthy K, Lu Y. Inferences on the common mean of several normal populations based on the generalized variable method. Biometrics. 2003;59:237–247. doi: 10.1111/1541-0420.00030
   Google Scholar
• Tian L, Cappelleri JC. A new approach for interval estimation and hypothesis testing of a certain intraclass correlation coefficient: the generalized variable method. Stat Med. 2004;23:2125–2135. doi: 10.1002/sim.1782
   Google Scholar
• Weerahandi S. Generalized inference in repeated measures: exact methods in MANOVA and mixed models. Hoboken (NJ): Wiley; 2004.
   Google Scholar
• Schisterman EF, Perkins NJ, Liu A, et al. Optimal cut-point and its corresponding Youden index to discriminate individuals using pooled blood samples. Epidemiology. 2005;16(1):73–81. doi: 10.1097/01.ede.0000147512.81966.ba
   Google Scholar