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. 2016 Oct 22;9:479. doi: 10.1186/s13104-016-2284-z

Table 3.

Bias and imprecision of population means for the HADS depression subscale, and correlation with quality of life

Method Bias Imprecision Correlation with QoLa
Random Demog Subscale Random Demog Subscale Random Demog Subscale
25 % missing item, rate = psub = 0.5 pitem = 0.5
 Subject mean 0.083 0.002 −0.061 0.037 0.033 0.047 −0.754 −0.759 −0.752
 Subscale mean 0.004 −0.011 −0.024 0.046 0.051 0.071 −0.722 −0.715 −0.701
 Subscale ½ mean 0.000 −0.357 −1.102 0.141 0.258 1.377 −0.756 −0.757 −0.729
 Item mean 0.001 −0.360 −1.110 0.062 0.189 1.277 −0.756 −0.721 −0.717
 Multiple imputation 0.016 −0.086 −0.324 0.038 0.053 0.175 −0.711 −0.744 −0.729
 Multiple imputation ½ 0.005 −0.382 −1.218 0.136 0.274 1.638 −0.742 −0.769 −0.732
 Complete case −0.016 −1.026 −3.168 0.348 1.347 10.162 −0.769 −0.769 −0.427
10 % missing item rate, psub = 0.5 pitem = 0.2
 Subject mean 0.028 0.002 −0.025 0.010 0.009 0.013 −0.768 −0.769 −0.768
 Subscale mean −0.003 0.001 −0.002 0.010 0.010 0.015 −0.760 −0.768 −0.754
 Subscale ½ mean −0.000 −0.025 −0.067 0.016 0.019 0.026 −0.769 −0.768 −0.743
 Item mean −0.002 −0.123 −0.372 0.014 0.030 0.154 −0.758 −0.755 −0.743
 Multiple imputation 0.005 −0.012 −0.075 0.011 0.012 0.023 −0.766 −0.765 −0.765
 Multiple imputation ½ 0.003 −0.033 −0.130 0.016 0.021 0.040 −0.770 −0.769 −0.746
 Complete case −0.000 −0.695 −2.122 0.201 0.699 4.720 −0.770 −0.770 −0.716
10 % missing item rate, psub = 0.2 pitem = 0.5
 Subject mean 0.034 0.003 −0.082 0.014 0.014 0.025 −0.764 −0.767 −0.765
 Subscale mean 0.000 −0.006 −0.010 0.018 0.020 0.028 −0.750 −0.747 −0.740
 Subscale ½ mean 0.002 −0.134 −0.701 0.041 0.064 0.575 −0.764 −0.766 −0.730
 Item mean −0.002 −0.132 −0.702 0.022 0.041 0.514 −0.745 −0.746 −0.731
 Multiple imputation −0.005 −0.027 −0.234 0.013 0.015 0.080 −0.761 −0.761 −0.758
 Multiple imputation ½ −0.000 −0.139 −0.774 0.040 0.064 0.672 −0.766 −0.769 −0.734
 Complete case −0.003 −0.285 −1.540 0.077 0.161 2.409 −0.768 −0.772 −0.666
2 % missing item rate, psub = 0.1 pitem = 0.2
 Subject mean 0.006 −0.000 −0.023 0.002 0.002 0.003 −0.769 −0.771 −0.771
 Subscale mean −0.000 −0.000 0.001 0.002 0.002 0.003 −0.767 −0.767 −0.767
 Subscale ½ mean 0.000 −0.009 −0.034 0.003 0.004 0.010 −0.768 −0.768 −0.766
 Item mean 0.000 −0.029 −0.166 0.003 0.004 0.033 −0.766 −0.766 −0.767
 Multiple imputation 0.001 −0.004 −0.038 0.002 0.002 0.005 −0.768 −0.769 −0.769
 Multiple imputation ½ 0.001 −0.01 −0.068 0.003 0.004 0.014 −0.769 −0.769 −0.768
 Complete case −0.000 −0.119 −0.679 0.026 0.043 0.500 −0.770 −0.770 −0.729

N = 52 for random, demographic dependent and subscale dependent missingness mechanisms. 1000 simulated datasets

aCorrelation = −0.767 for original data (n = 1444)