Table 2: Comparison between different response rate (Truncated-normal).

prev = 0.65, sen = spec = 0.85, ω0 = 0.88

Setups Parameters True Empirical NP Bayes MLE (EM)
n1 = 70 μ T 2.85 2.8630 2.8675 2.9550
α T ()N(2.92,0.97) μ C 2.45 2.4592 2.4601 2.4503
α C ()N(2.49,0.97) 0.40 0.4038 0.4045 0.5047
EF = 0.485 σ C 2 0.68 0.6747 0.6464 0.6332
σ T 2 0.6927 0.6974 0.6670 0.6933
ω 1 0.9132 0.88 0.8354 0.8714
Reject H0 - 0.1856 0.1936 0.2335
n ^ 2 (Med/Mean/Trim) - (142,496,241) (140,463,232) (140,460,219)
n1 = 70 μ T 2.85 2.8631 2.8677 2.9295
α T ()N(2.92,0.793) μ C 2.45 2.4546 2.4556 2.4503
α C ()N(2.49,0.793) θ 0.40 0.4086 0.4092 0.4124
EF = 0.603 σ C 2 0.44 0.4421 0.4279 0.4124
σ T 2 0.4527 0.4633 0.4497 0.4581
ω 1 0.9132 0.88 0.8777 0.8245
Reject H0 - 0.3154 0.3134 0.3613
n ^ 2 (Med/Mean/Trim) - (142,340,187) (140,335,180) (140,335,175)
n1 = 70 μ T 2.85 2.8636 2.8681 2.9225
α T ()N(2.92,0.97) μ C 2.45 2.4537 2.4547 2.450311
α C ()N(2.49,0.97) θ 0.40 0.4098 0.4104 0.4714
EF = 0.699 σ C 2 0.33 0.3320 0.3179 0.3083
σ T 2 0.3427 0.3525 0.3390 0.3483
ω 1 0.9132 0.88 0.8691 0.8229
Reject H0 - 0.4371 0.4531 0.5050
n ^ 2 (Med/Mean/Trim) - (140,252,157) (140,273,157) (140,300,156)