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. Author manuscript; available in PMC: 2016 Jan 5.
Published in final edited form as: Multivariate Behav Res. 2015 Sep-Oct;50(5):504–519. doi: 10.1080/00273171.2015.1068157

Table 2.

Simulation Study 1, Standardized Bias from Proration – Uniform Item Means, Varied Inter-Item Correlations

Parameter Items
Per
Scale
Sample Size MCAR
Mechanism
MAR
Mechanism
Due to External
Variable
MAR
Mechanism Due
to Complete
Items on the
Scale
Mean of X 8 200 −0.0042 −0.2219 0.0997
500 0.0022 −0.3423 0.1611

16 200 0.0089 −0.2169 −0.0386
500 0.0000 −0.3741 −0.0798

Mean of Y 8 200 0.0030 −0.2234 0.1065
500 0.0000 −0.3497 0.1678

16 200 0.0031 −0.2307 −0.0511
500 0.0000 −0.3590 −0.0867

Variance of X 8 200 −0.1523 −0.2215 −0.0948
500 −0.2611 −0.3748 −0.1634

16 200 −0.3736 −0.4956* −0.3998
500 −0.6121* −0.8162* −0.6646*

Variance of Y 8 200 −0.1680 −0.2468 −0.1058
500 −0.2609 −0.3741 −0.1533

16 200 −0.3738 −0.4976* −0.4041*
500 −0.5919* −0.7892* −0.6499*

Covariance 8 200 −0.2211 −0.3424 −0.2140
500 −0.3333 −0.5402* −0.3264

16 200 −0.2166 −0.3742 −0.2436
500 −0.3544 −0.6000* −0.3873

Correlation 8 200 −0.1894 −0.2996 −0.2012
500 −0.2803 −0.4751* −0.3064

16 200 −0.0995 −0.2308 −0.1176
500 −0.1655 −0.3693 −0.1799

Regression
Coefficient
8 200 −0.1869 −0.2924 −0.1969
500 −0.2755 −0.4630* −0.2986

16 200 −0.0967 −0.2222 −0.1140
500 −0.1594 −0.3580 −0.1755

Note. The table contains standardized bias values for conditions with a 25% item-level missing data rate. The item means were uniform but the inter-item correlations varied.

Standardized bias values greater than or equal to .40 in absolute value are denoted by an asterisk (*).