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Table 3 Results of the simulations on linear regressions, MCAR

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 - 0.02 0.34 0.06 0.19 0.01 0.24 −0.05 0.12 −0.01 0.16 −0.05 0.08
  MI+0 - 0 0.30 0.01 0.12 0 0.20 0.01 0.09 0 0.14 −0.01 0.06
  MI+10 0.1 −0.06 0.31 −0.17 0.14 −0.04 0.21 −0.16 0.09 −0.01 0.14 −0.06 0.06
  MI+20 0.1 −0.16 0.32 −0.49 0.19 −0.06 0.21 −0.25 0.11 −0.02 0.14 −0.14 0.06
  MI+40 0.1 −0.13 0.33 −0.41 0.18 −0.17 0.22 −0.75 0.18 −0.06 0.15 −0.42 0.08
  MI+80 0.1 −0.15 0.32 −0.46 0.19 −0.19 0.25 −0.77 0.20 −0.17 0.15 −1.09 0.17
  MI+10 0.5 −0.03 0.40 −0.06 0.18 0 0.27 0.01 0.11 0 0.19 −0.01 0.08
  MI+20 0.5 −0.06 0.40 −0.13 0.19 −0.03 0.28 −0.09 0.12 −0.02 0.19 −0.08 0.08
  MI+40 0.5 −0.09 0.41 −0.23 0.21 −0.07 0.28 −0.24 0.13 −0.03 0.19 −0.15 0.09
  MI+80 0.5 −0.06 0.40 −0.14 0.20 −0.30 0.27 −1.13 0.30 −0.08 0.19 −0.42 0.11
50 CC - 0.12 0.62 0.18 0.43 −0.02 0.38 −0.08 0.28 0.04 0.27 0.15 0.19
  MI+0 - −0.04 0.40 −0.04 0.28 −0.01 0.26 0.04 0.18 −0.01 0.18 −0.01 0.12
  MI+10 0.1 −0.20 0.43 −0.44 0.31 −0.10 0.28 −0.34 0.20 −0.04 0.18 −0.19 0.13
  MI+20 0.1 −0.49 0.42 −1.25 0.50 −0.18 0.29 −0.64 0.22 −0.10 0.19 −0.52 0.14
  MI+40 0.1 −0.35 0.41 −0.94 0.40 −0.49 0.29 −1.77 0.49 −0.19 0.19 −1.02 0.20
  MI+80 0.1 −0.33 0.40 −0.89 0.38 −0.35 0.28 −1.38 0.38 −0.48 0.20 −2.55 0.48
  MI+10 0.5 −0.06 0.53 −0.09 0.31 0 0.35 0.06 0.23 −0.01 0.24 0 0.16
  MI+20 0.5 −0.34 0.51 −0.72 0.37 −0.03 0.36 −0.07 0.21 −0.03 0.24 −0.10 0.15
  MI+40 0.5 −0.20 0.47 −0.48 0.35 −0.31 0.35 −0.91 0.32 −0.06 0.24 −0.26 0.15
  MI+80 0.5 −0.22 0.48 −0.51 0.36 −0.19 0.33 −0.68 0.31 −0.30 0.24 −1.31 0.30