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Table 2 Results of the simulations on linear regressions, MAR(X)

From: Auxiliary variables in multiple imputation in regression with missing X: a warning against including too many in small sample research

Percent missing

 

Auxiliary variable correlation

n = 50

n = 100

n = 200

   

Bias

SE

Std. Bias

RMSE

Bias

SE

Std. Bias

RMSE

Bias

SE

Std. Bias

RMSE

20

CC

-

−0.14

0.33

−0.43

0.20

−0.13

0.22

−0.60

0.17

−0.13

0.15

−0.85

0.15

 

MI+0

-

−0.04

0.31

−0.12

0.15

−0.05

0.22

−0.22

0.10

−0.05

0.15

−0.32

0.08

 

MI+10

0.1

−0.08

0.32

−0.24

0.16

−0.07

0.22

−0.30

0.12

−0.06

0.15

−0.36

0.08

 

MI+20

0.1

−0.17

0.33

−0.51

0.21

−0.10

0.22

−0.46

0.13

−0.07

0.15

−0.44

0.09

 

MI+40

0.1

−0.16

0.33

−0.48

0.21

−0.19

0.23

−0.85

0.21

−0.11

0.15

−0.68

0.11

 

MI+80

0.1

−0.15

0.33

−0.45

0.21

−0.22

0.24

−0.93

0.23

−0.21

0.16

−1.34

0.21

 

MI+10

0.5

−0.02

0.42

−0.02

0.19

−0.01

0.29

−0.03

0.13

−0.02

0.20

−0.08

0.09

 

MI+20

0.5

−0.08

0.43

−0.15

0.20

−0.03

0.29

−0.10

0.13

−0.02

0.20

−0.10

0.09

 

MI+40

0.5

−0.08

0.42

−0.19

0.23

−0.08

0.29

−0.26

0.15

−0.04

0.20

−0.17

0.10

 

MI+80

0.5

−0.09

0.41

−0.21

0.23

−0.31

0.30

−1.11

0.32

−0.09

0.21

−0.43

0.12

50

CC

-

−0.14

0.57

−0.32

0.44

−0.25

0.35

−0.72

0.34

−0.23

0.25

−0.96

0.27

 

MI+0

-

−0.20

0.46

−0.37

0.35

−0.21

0.31

−0.63

0.27

−0.18

0.21

−0.82

0.21

 

MI+10

0.1

−0.28

0.47

−0.59

0.35

−0.23

0.31

−0.74

0.28

−0.20

0.21

−0.95

0.22

 

MI+20

0.1

−0.53

0.44

−1.30

0.54

−0.27

0.30

−0.89

0.30

−0.23

0.21

−1.12

0.25

 

MI+40

0.1

−0.42

0.42

−1.07

0.47

−0.52

0.30

−1.82

0.52

−0.28

0.21

−1.36

0.29

 

MI+80

0.1

−0.44

0.42

−1.11

0.47

−0.44

0.28

−1.73

0.46

−0.53

0.20

−2.77

0.53

 

MI+10

0.5

−0.12

0.6

−0.17

0.35

−0.10

0.41

−0.20

0.28

−0.07

0.28

−0.21

0.19

 

MI+20

0.5

−0.41

0.55

−0.79

0.44

−0.11

0.40

−0.24

0.25

−0.09

0.28

−0.30

0.19

 

MI+40

0.5

−0.30

0.51

−0.65

0.44

−0.38

0.38

−1.07

0.39

−0.14

0.28

−0.49

0.20

 

MI+80

0.5

−0.28

0.51

−0.60

0.42

−0.21

0.36

−0.76

0.44

−0.38

0.25

−1.58

0.38