Method

Value

$a$

${\mu }_x$

${\sigma }_x$

${\mu }_b$

${\sigma }_b$

${\sigma }_{\epsilon }$

True value

0.5

1.0

5.0

0.5

1.0

0.7

Random

RBias

−41.24

107.64

60.66

129.62

41.67

14.14

RSE

51.92

38.29

3.85

33.70

9.09

40.43

RRMSE

66.26

114.24

60.78

133.92

42.65

42.79

Weighted

RBias

−0.72

−1.06

−0.33

1.04

0.53

6.20

likelihood

RSE

36.76

36.52

4.76

16.49

5.85

35.00

RRMSE

36.73

36.50

4.76

16.51

5.86

35.51

Calibrated

RBias

−0.88

−1.21

−0.33

0.78

0.62

6.30

weighted

RSE

36.57

36.50

4.76

16.61

5.92

34.92

likelihood

RRMSE

36.54

36.48

4.77

16.61

5.95

35.45

Complete

RBias

−4.57

0.78

0.05

1.44

0.32

13.51

data

RSE

43.66

20.01

2.24

10.91

3.54

36.62

likelihood

RRMSE

43.86

20.01

2.24

11.00

3.55

39.00

Conditional

RBias

−7.44

7.24

3.61

9.55

4.38

9.46

likelihood

RSE

51.36

31.37

8.80

25.79

11.16

35.94

RRMSE

51.85

32.16

9.51

27.48

11.97

37.13

Full

RBias

0.21

−0.28

−0.36

0.60

0.28

6.46

information

RSE

8.64

13.99

2.02

7.77

2.48

17.49

likelihood

RRMSE

8.63

13.98

2.05

7.78

2.49

18.63

Full

RBias

0.14

0.35

−0.35

0.09

0.28

8.40

data

RSE

8.77

14.70

2.07

7.26

2.52

13.75

likelihood

RRMSE

8.77

14.69

2.09

7.25

2.53

16.10

Empirical

RBias

0.15

−0.04

−0.21

0.56

0.56

7.13

proportion

RSE

8.67

13.93

2.00

7.43

2.58

15.72

likelihood

RRMSE

8.66

13.92

2.01

7.45

2.64

17.25