. Author manuscript; available in PMC: 2014 Jan 9.

Published in final edited form as: Biometrika. 2013 Jun 30;100(3):10.1093/biomet/ast016. doi: 10.1093/biomet/ast016

Table 2.

Simulation results for μ₁(t) = r₀₁t when K = 3 and the frailty follows a log-normal distribution; all entries except $e_{r}^{n}$ and $e_{r}^{w}$ are shown after multiplication by 10²

Biasⁿ

Ṽⁿ^1/2

κ_z

graphic file with name nihms502061ig12.jpg

Bias^r

Ṽ^r^1/2

V̄^r^1/2

graphic file with name nihms502061ig11.jpg

Bias^ω

Ṽ^ω^1/2

e_{r}^{n}

e_{r}^{w}

0·83

14·5

15%

0·76

14·7

16·1

92·4

0·46

14·6

0·99

0·98

25%

0·63

14·9

18·1

93·8

0·09

14·7

0·96

0·98

35%

0·65

15·2

20·7

94·3

−0·16

14·9

0·92

0·96

2·08

15%

0·80

14·7

16·3

92·0

0·47

14·6

0·97

0·98

25%

0·76

15·0

18·1

93·9

0·19

14·8

0·95

0·97

35%

0·68

15·2

20·9

94·5

−0·20

14·9

0·92

0·96

200

0·24

7·11

15%

0·35

7·24

7·78

95·7

−0·13

7·19

0·96

0·98

25%

0·36

7·31

8·39

96·3

−0·51

7·20

0·94

0·97

35%

0·52

7·39

9·14

96·8

−0·81

7·24

0·92

0·97

2·08

15%

0·32

7·20

7·84

95·3

−0·21

7·15

0·97

0·98

25%

0·40

7·27

8·46

96·4

−0·51

7·18

0·95

0·98

35%

0·48

7·46

9·36

97·1

−0·95

7·30

0·90

0·97

3·66

38·6

15%

4·45

38·2

38·9

92·1

5·47

39·4

1·02

1·07

25%

5·10

38·3

40·3

92·9

6·33

40·0

1·01

1·10

35%

5·54

38·3

42·1

92·5

6·86

40·2

1·01

1·11

2·08

15%

4·49

38·4

39·0

91·6

5·16

39·4

1·01

1·06

25%

5·03

38·4

40·4

92·0

5·92

39·9

1·00

1·08

35%

6·58

39·5

42·7

93·1

7·55

41·6

0·94

1·11

200

0·48

19·0

15%

1·17

19·0

18·8

93·1

2·28

19·6

1·00

1·07

25%

1·76

19·3

19·2

94·0

3·13

20·0

0·96

1·09

35%

2·33

19·3

19·7

94·0

3·81

20·1

0·96

1·10

2·08

15%

1·28

19·3

18·9

93·9

2·17

19·8

0·97

1·06

25%

1·83

19·3

94·5

2·88

19·9

0·97

1·08

35%

2·88

19·3

20·0

95·1

4·00

20·3

0·95

1·12