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Table 7 Simulation results: Statistical Power and type I error of log(OR) by PSM-based approaches and data generation features

From: Evaluating the performance of propensity score matching based approaches in individual patient data meta-analysis

   

Treatment Prevalence According to Study

50% Treatment Prevalence

30% Treatment Prevalence

OR

SD c

SD b

Across

Preferential

Random

Within

Across

Preferential

Random

Within

Across

Preferential

Random

Within

 

(σ1j)

(σ0j)

Study

Study

Effect

Study

Study

Study

Effect

Study

Study

Study

Effect

Study

3

0.04

0.7

100

95

83

90

100

100

100

100

100

100

100

100

  

1.4

100

89

79

84

100

99

100

99

100

99

99

99

  

2.1

99

83

72

73

100

97

98

95

100

92

94

91

 

0.08

0.7

100

95

83

90

100

100

100

100

100

100

100

100

  

1.4

100

88

79

84

100

99

100

99

100

100

99

99

  

2.1

98

83

72

72

100

96

98

94

100

91

94

90

1.5

0.04

0.7

64

50

22

47

92

80

69

80

90

77

72

76

  

1.4

60

38

29

37

87

60

49

56

90

49

48

57

  

2.1

53

27

22

25

88

32

29

24

91

30

28

25

 

0.08

0.7

63

49

21

46

92

79

68

77

89

77

70

75

  

1.4

59

36

27

36

86

58

47

53

89

60

46

55

  

2.1

52

27

21

24

87

29

26

22

90

28

26

23

  1. OR indicates pooled odds ratio used for simulation
  2. cSD is the standard deviation, σ1j of study specific random slope, u1j
  3. bSD is the standard deviation, σ0j, of study specific random intercept, u0j
  4. Across-study indicates consideration of Single-level logit model with across-study matching
  5. Prefer-study indicates consideration Single-level logit model with preferential-within study matching
  6. Random-effect indicates consideration of Random-effect logit model with across-study matching
  7. Within-study indicates consideration of Single-level logit model with within-study matching