Method

Value

a

μ x

σ x

μ b

σ b

σ ε

True value

0.5

1.0

5.0

1.0

1.0

0.7

Random

RBias

−31.90

43.42

61.46

82.91

7.43

55.62

RSE

45.04

29.58

3.26

7.43

7.33

59.65

RRMSE

55.16

52.52

61.54

83.24

10.43

81.51

Weighted

RBias

1.98

−1.41

−0.22

−0.04

0.43

11.26

likelihood

RSE

36.03

29.21

3.95

7.36

5.68

32.18

RRMSE

36.05

29.21

3.95

7.35

5.69

34.06

Calibrated

RBias

1.80

−1.34

−0.21

−0.19

0.41

11.47

weighted

RSE

36.36

29.04

3.95

7.48

5.80

32.11

likelihood

RRMSE

36.37

29.04

3.95

7.47

5.81

34.06

Complete

RBias

−1.18

−0.90

0.24

−0.05

0.45

16.00

data

RSE

40.32

21.51

2.11

6.21

3.38

34.70

likelihood

RRMSE

40.30

21.50

2.12

6.21

3.40

38.18

Conditional

RBias

−0.57

3.15

2.35

3.87

1.44

13.30

likelihood

RSE

45.82

41.49

5.92

11.87

5.37

34.77

RRMSE

45.78

41.57

6.37

12.47

5.55

37.20

Full

RBias

1.10

−0.60

0.05

−0.70

0.70

9.32

information

RSE

11.84

11.51

2.07

4.40

2.80

22.27

likelihood

RRMSE

11.88

11.52

2.07

4.45

2.89

24.13

Full

RBias

0.98

−0.41

0.02

−0.84

0.64

13.05

data

RSE

12.32

12.70

2.02

3.88

2.76

16.76

likelihood

RRMSE

12.35

12.70

2.02

3.97

2.83

21.23

Empirical

RBias

1.17

−0.55

0.25

−0.52

0.87

10.02

proportion

RSE

11.93

11.61

1.96

4.10

2.83

20.90

likelihood

RRMSE

11.97

11.61

1.97

4.13

2.95

23.16