Assessment of the Scientific Information for the Radiation Exposure Screening and Education Program (2005) / Chapter Skim
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Appendix D: The Optimal Criterion for Positivity in Screening
Appendix D: The Optimal Criterion for Positivity in Screening
Pages 367-370
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From page 367... ...
Appendix D The Optimal Criterion for Positivity in Screening Consider a population of individuals composed of two subpopulations: with disease, D, and with no disease, ND. Assume that the prevalence of disease is pdis and that in a representative subset of the population we know, by some gold standard, which individuals have disease and which have no disease.
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368 APPENDIX D or p ×(1-TPR) × Bfn +(1- pdis)
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APPENDIX D 369 1.00 10000 Disease (TPR) 1000 0.80 No Disease (FPR)
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Because the normal distribution is 1 e - 1 2 x-x 2 where x is the test result, x is the mean, and is the standard deviation, the optimal cutoff criterion will be the value of x where 2 2 1 - 1 2 1 - 1 2 e x-xdis dis (p) B= e x-xnodis nodis (1- p)
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