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. Author manuscript; available in PMC: 2011 May 31.
Published in final edited form as: J R Stat Soc Ser C Appl Stat. 2009 Sep;58(4):505–524. doi: 10.1111/j.1467-9876.2009.00663.x

Table 7.

Simulation results. Data generated under three-class model with three manifest variables. Zero mean for latent variable in largest class

Class 1
Parameter True Value Mean (SD) Average Bias Coverage
Pr(Ci = k) 0.50 0.52 (0.07) 0.019 91
α1 7.0 6.99 (0.15) −0.006 96
α2 7.0 7.05 (0.15) 0.05 94
α3 2.0 2.03 (0.10) 0.03 92
λ1 1.2 1.20 (0.05) 0.001 98
λ2 1.2 1.18 (0.07) −0.015 95
λ3 0.4 0.40 (0.03) 0.003 95
γ1 0 −0.0034 (0.01) −0.0034 95
γ2 0 0.00009 (0.0004) 0.00009 94

Class 2
Parameter True Value Mean (SD) Average Bias Coverage

Pr(Ci = k) 0.33 0.33 (0.035) −0.007 94
α1 6.0 6.01 (0.18) 0.008 92
α2 6.0 5.99 (0.15) −0.014 98
α3 1.5 1.49 (0.14) −0.008 96
λ1 1.0 1.01 (0.05) 0.01 93
λ2 1.0 1.01 (0.05) 0.01 93
λ3 0.8 0.81 (0.04) 0.0056 94
γ1 −0.25 −0.24 (0.020) 0.0052 95
γ2 0.0034 0.0033 (0.0005) −0.0001 95

Class 3
Parameter True Value Mean (SD) Average Bias Coverage

Pr(Ci = k) 0.17 0.15 (0.066) 0.015 89
α1 6.5 6.42 (0.35) −0.085 96
α2 8.0 7.89 (0.34) −0.11 93
α3 3.0 2.89 (0.28) −0.11 98
λ1 1.10 1.15 (0.14) 0.05 95
λ2 0.50 0.60 (0.18) 0.10 92
λ3 0.50 0.54 (0.12) 0.04 91
γ1 −0.10 −0.09 (0.028) 0.0096 98
γ2 0.0032 0.0028 (0.0009) −0.00038 96

Variance Parameters
Parameter True Value Mean (SD) Average Bias Coverage

Ψa 0.40 0.40 (0.10) 0.002 91
τ12
0.50 0.53 (0.11) 0.029 96
τ22
0.60 0.62 (0.097) 0.021 96
τ32
0.30 0.32 (0.043) 0.02 97
σ12
0.40 0.40 (0.039) 0.0049 96
σ22
0.40 0.40 (0.040) 0.0049 93
σ32
0.30 0.30 (0.018) −0.0002 95