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Table 5 Performances of methods using instrument pr

From: Instrumental variable analysis in the context of dichotomous outcome and exposure with a numerical experiment in pharmacoepidemiology

  

Instrument strength

  

Weak

Mod

Strong

Level

Method

rB

sd

rMSE

pval

rB

sd

rMSE

pval

rB

sd

rMSE

pval

High

Tr

1.62

0.23

0.24

0.06

0.52

0.26

0.24

0.04

1.93

0.40

0.32

0.06

 

Conv

46.14

0.23

1.40

1.00

42.40

0.26

1.29

1.00

39.62

0.39

1.23

1.00

 

2SRI

14.98

0.66

0.85

0.13

9.41

0.47

0.53

0.09

8.49

0.44

0.53

0.10

 

GMM

72.01

315.65

5.06

0.27

75.50

109.91

4.70

0.32

71.32

60.00

4.25

0.40

Med

Tr

0.58

0.25

0.23

0.05

1.25

0.31

0.30

0.07

1.61

0.48

0.32

0.04

 

Conv

25.40

0.25

0.80

0.96

23.98

0.31

0.78

0.85

21.37

0.48

0.72

0.63

 

2SRI

9.93

0.66

0.70

0.07

6.90

0.54

0.61

0.08

5.45

0.54

0.54

0.09

 

GMM

36.76

47.90

43.89

0.40

32.85

32.04

2.17

0.51

44.82

41.87

3.36

0.35

Low

Tr

0.66

0.26

0.26

0.07

1.51

0.33

0.28

0.04

2.20

0.55

0.35

0.05

 

Conv

7.86

0.26

0.35

0.15

7.96

0.33

0.37

0.11

7.72

0.55

0.41

0.10

 

2SRI

6.43

0.71

0.74

0.07

5.76

0.64

0.62

0.06

5.91

0.66

0.67

0.10

 

GMM

22.04

31.69

2.42

0.49

26.15

31.68

3.49

0.64

43.12

25.42

4.14

0.46

  1. Legend: Tr = True model, Conv = Conventional model, 2SRI = Two-Stage Residual Inclusion, GMM = Generalized Method of Moment. Low, Med (Medium), High denote the level of confounding whereas Weak, Mod (Moderate), Strong stand for instrument strength. For the criteria, rB= relative bias (%),sd= standard deviation, rMSE= root Mean Squares error and pval= non-coverage probabilities