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Table 1 Results of the simulations on linear regressions, MAR(Y)

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

-

−0.13

0.33

−0.43

0.20

−0.13

0.22

−0.60

0.17

−0.13

0.15

−0.85

0.15

 

MI+0

-

−0.05

0.32

−0.11

0.16

−0.03

0.22

−0.10

0.11

−0.02

0.15

−0.09

0.08

 

MI+10

0.1

−0.08

0.33

−0.21

0.17

−0.04

0.22

−0.17

0.10

−0.02

0.15

−0.10

0.07

 

MI+20

0.1

−0.16

0.35

−0.43

0.21

−0.06

0.23

−0.26

0.12

−0.03

0.15

−0.16

0.07

 

MI+40

0.1

−0.28

0.35

−0.77

0.32

−0.17

0.24

−0.66

0.19

−0.05

0.16

−0.32

0.08

 

MI+80

0.1

−0.25

0.35

−0.70

0.31

−0.30

0.27

−1.13

0.33

−0.16

0.17

−0.94

0.17

 

MI+10

0.5

−0.06

0.45

−0.10

0.23

−0.03

0.30

−0.06

0.15

0

0.21

0

0.11

 

MI+20

0.5

−0.13

0.46

−0.25

0.26

−0.05

0.30

−0.14

0.17

−0.02

0.21

−0.07

0.10

 

MI+40

0.5

−0.20

0.44

−0.46

0.33

−0.12

0.33

−0.37

0.19

−0.04

0.21

−0.16

0.11

 

MI+80

0.5

−0.21

0.44

−0.45

0.34

−0.43

0.33

−1.37

0.43

−0.12

0.23

−0.53

0.16

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

-

−0.13

0.44

−0.20

0.33

−0.08

0.29

−0.18

0.23

−0.06

0.21

−0.20

0.17

 

MI+10

0.1

−0.27

0.47

−0.52

0.38

−0.13

0.30

−0.36

0.22

−0.07

0.20

−0.29

0.15

 

MI+20

0.1

−0.59

0.48

−1.30

0.60

−0.23

0.33

−0.68

0.28

−0.10

0.21

−0.43

0.15

 

MI+40

0.1

−0.52

0.42

−1.28

0.59

−0.57

0.33

−1.82

0.57

−0.21

0.23

−0.94

0.23

 

MI+80

0.1

−0.50

0.42

−1.21

0.58

−0.54

0.29

−1.95

0.59

−0.56

0.23

−2.54

0.56

 

MI+10

0.5

−0.23

0.63

−0.33

0.42

−0.09

0.41

−0.15

0.32

−0.03

0.28

−0.06

0.17

 

MI+20

0.5

−0.50

0.59

−0.90

0.52

−0.18

0.44

−0.39

0.31

−0.06

0.28

−0.16

0.21

 

MI+40

0.5

−0.45

0.50

−0.94

0.61

−0.51

0.41

−1.31

0.51

−0.18

0.31

−0.57

0.25

 

MI+80

0.5

−0.43

0.51

−0.89

0.61

−0.43

0.35

−1.28

0.57

−0.51

0.29

−1.85

0.51