Sensitivity citySpeci   +           Est ESE ASE Est ESE ASE Est ESE ASE Est ESE ASE         Believe the positive protocol (Mx [ US)       Standard Analysis 0.958 0.013 0.013 0.790 0.027 0.027 -0.298 0.127 0.123 -1.702 0.317 0.289 Augmented Analysis 0.955 0.014 0.013 0.808 0.019 0.019 -0.353 0.103 0.102 -1.701 0.317 0.279         Believe the negative protocol(US \ Mx)       Standard Analysis 0.617 0.031 0.031 0.966 0.012 0.012 1.132 0.342 0.303 0.366 0.084 0.083 Augmented Analysis 0.602 0.028 0.028 0.971 0.009 0.010 1.132 0.344 0.331 0.348 0.069 0.069

Table 3: Estimated sensitivity, specificity and log-ratio of likelihood ratios (φ+ and φ-), empirical standard errors (ESE) and asymptotic standard errors (ASE) for mammography (Mx) versus believe the positive (Mx ⋃ US) and believe the negative (US ⋂ Mx) protocols from 50,000 simulations based on parameter values derived from the breast cancer example.