Table 1: Estimation results from three methods (data from truncated-normal).

prev = 0.55, sen = spec = 0.85, ω0 = 0.85, EF = 0.81

Setups

Parameters

True

Empirical

NP Bayes

MLE (EM)

n1 = 50

μ T

3.71

3.7381

3.7110

3.7881

α T ()N(3.52,0.89) μ C

3.23

3.2266

3.2176

3.2208

α C ()N(3.02,0.89)

q

0.48

0.5125

0.5119

0.5673

σ C 2

0.35

0.3502

0.3463

0.3209

σ T 2

0.3754

0.3889

0.3781

0.3761

ω 1

0.8738

0.85

0.8915

0.8272

Reject H0

-

0.4371

0.4371

0.4910

n ^ 2 (Med/Mean/Trim)

-

(100,237,115)

(100,181,109)

(100,201,111)

n1 = 70

μ T

5.21

5.2313

5.2381

5.3072

α T ()N(5.47,0.87) μ C

4.51

4.5168

4.5118

4.5115

α C ()N(4.34,0.87)

q

0.70

0.7145

0.7262

0.7958

σ C 2

0.74

0.7447

0.7087

0.6917

σ T 2

0.7940

0.8173

0.7829

0.8024

ω 1

0.8378

0.85

0.8494

0.8103

Reject H0

-

0.5489

0.5928

0.6128

n ^ 2 (Med/Mean/Trim)

-

(140,202,145)

(140,183,144)

(140,194,144)

n1 = 90

μ T

9.82

9.8387

9.8360

9.9123

α T ()N(9.93,1.05) μ C

9.04

9.0501

9.0497

9.0445

α C ()N(9.03,1.05)

q

0.78

0.7885

0.7879

0.8678

σ C 2

0.93

0.9263

0.8886

0.8704

σ T 2

0.9971

1.0138

0.9748

0.9986

ω 1

0.8738

0.85

0.8519

0.8265

Reject H0

-

0.6627

0.6786

0.7186

n ^ 2 (Med/Mean/Trim)

-

(180,258,184)

(180,285,184)

(180,257,185)