Table 4: Comparison in different sample sizes (Skewed-normal).

prev = 0.55, sen = spec = 0.85, w0 = 0.85, EF = 0.81, α = 1

Setups

Parameters

True

Empirical

NP Bayes

MLE (EM)

n1=30 α T ()N(3.52,0.89) α C ()N(3.02,0.89) μ T

3.71

3.7246

3.6861

3.7579

μ C

3.23

3.2150

3.2022

3.2102

q

0.48

0.5097

0.5096

0.5477

σ C 2

0.35

0.3454

0.3400

0.3080

σ T 2

0.3754

0.3869

0.3708

0.3588

ω 1

0.8738

0.85

0.9006

0.8530

Reject H0

-

0.2754

0.2954

0.3253

n ^ 2 (Med/Mean/Trim)

-

(62,322,97)

(60,188,80)

(60,269,86)

n1=70 α T ()N(5.47,0.87) α C ()N(4.34,0.87) μ T

5.21

5.2311

5.2377

5.2956

μ C

4.51

4.5209

4.5157

4.5186

q

0.70

0.7102

0.7221

0.7769

σ C 2

0.74

0.7487

0.7123

0.6901

σ T 2

0.7940

0.8209

0.7860

0.7984

ω 1

0.8738

0.85

0.8540

0.8226

Reject H0

-

0.5289

0.5868

0.5689

n ^ 2 (Med/Mean/Trim)

-

(140,227,146)

(140,200,144)

(140,213,143)

n1=90 α T ()N(9.93,1.01) α C ()N(9.03,1.01) μ T

9.82

9.8422

9.8456

9.9131

μ C

9.04

9.0477

9.0473

9.0446

q

0.78

0.7946

0.7969

0.8686

σ C 2

0.93

0.9270

0.8892

0.8701

σ T 2

0.9971

1.0155

0.9784

0.9995

ω 1

0.8738

0.85

0.8482

0.8296

Reject H0

-

0.6647

0.6886

0.7246

n ^ 2 (Med/Mean/Trim)

-

(180,220,183)

(180,212,183)

(180,218,184)