Table 5.

Observed disease status and Test 1 results.

Test 1	Observed Disease Status	Probability
+	+	$\{\begin{array}{ll}r[1-\Phi (x-{\mu }_{C1})]+r(1-\psi )\times \hfill & \hfill \\ [\Phi (x-{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)-\Phi (\theta -{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)]\hfill & x<\theta \hfill \\ \hfill & \hfill \\ r[1-\Phi (x-{\mu }_{C1})]\hfill & x\ge \theta \hfill \end{array}$
+	-	$\{\begin{array}{ll}(1-r)[1-\Phi (x-{\mu }_{N1})]-r(1-\psi )\times \hfill & \hfill \\ [\Phi (x-{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)-\Phi (\theta -{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)]\hfill & x<\theta \hfill \\ \hfill & \hfill \\ (1-r)[1-\Phi (x-{\mu }_{N1})]\hfill & x\ge \theta \hfill \end{array}$
-	+	$\{\begin{array}{ll}r\Phi (x-{\mu }_{C1})-\hfill & \hfill \\ r(1-\psi )\Phi (x-{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)\hfill & x<\theta \hfill \\ \hfill & \hfill \\ r\Phi (x-{\mu }_{C1})-\hfill & \hfill \\ r(1-\psi )\Phi (\theta -{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)\hfill & x\ge \theta \hfill \end{array}$
-	-	$\{\begin{array}{ll}(1-r)\Phi (x-{\mu }_{N1})+\hfill & \hfill \\ r(1-\psi )\Phi (x-{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)\hfill & x<\theta \hfill \\ \hfill & \hfill \\ (1-r)\Phi (x-{\mu }_{N1})+\hfill & \hfill \\ r(1-\psi )\Phi (\theta -{\mu }_{C1},\theta -{\mu }_{C2},{\rho }_C)\hfill & x\ge \theta \hfill \end{array}$

Test 1 is + if the score on Test 1 is greater than x.