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Table 3 Properties of the survey designs for various prior specifications

From: New tools for evaluating LQAS survey designs

  p=. 35 p=. 65 p(. 35,. 65)
π() S(p) PPV NPV S(p) PPV NPV P grey PPV NPV
B(1,1) 0.650 0.991 0.692 0.350 0.692 0.991 0.300 0.300 0.300
B(9.6, 8.7) 0.937 0.995 0.139 0.143 0.243 0.986 0.794 0.752 0.848
B(4.3, 2.1) 0.957 0.998 0.213 0.593 0.728 0.956 0.363 0.270 0.743
B(19.4, 9.3) 1.000 1.000 0.002 0.634 0.688 0.832 0.366 0.312 0.831
B(2.5, 1.2) 0.908 0.997 0.381 0.592 0.766 0.972 0.316 0.231 0.592
  1. The table quantities with respect to p* are defined as: S(p*) =P(p >p*), PPV =P(p >p* | X i > 9) and NPV =P(p <p* |X i ≤ 9). For the grey region, P grey =P(p {.35,.65 }), PPV =P(p l <p <p u | X i > 9) and NPV =P(p l <p <p u | X i ≤ 9).