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. Author manuscript; available in PMC: 2017 Oct 1.
Published in final edited form as: Methodology (Gott). 2016 Dec 5;12(4):107–116. doi: 10.1027/1614-2241/a000114

Table 5.

Bias by Class for Estimation of Outcome Means E(Y|C) in Selected Conditions

Homoskedastic Normal True
Distribution

Class
1
Class
2
Class
3
True E(Y|C) 0.300 0.000 −0.300

Unadjusted −0.031 −0.001 0.030
ML −0.002 −0.001 0.001
BCH −0.002 −0.001 0.001
Inclusive 0.011 −0.002 −0.011
Quadratic 0.011 −0.001 −0.011

Heteroskedastic Normal True
Distribution

Class
1
Class
2
Class
3
True E(Y|C) 0.600 0.000 −0.600

Unadjusted −0.059 0.000 0.060
ML −0.513 −0.039 0.550
BCH −0.002 0.000 0.003
Inclusive −0.969 0.370 0.122
Quadratic 0.014 0.012 −0.018

Exponential True Distribution

Class
1
Class
2
Class
3
True E(Y|C) 1.800 1.400 1.000

Unadjusted −0.039 −0.002 0.044
ML 0.032 −0.064 0.037
BCH 0.000 −0.004 0.006
Inclusive 0.016 −0.003 −0.009
Quadratic 0.014 −0.002 −0.008

Note. In order to conserve space, this table contains only results for high effect size scenario, poor measurement quality, even class size scenario, and modal assignment method.