Table 5.
Small interaction effect |
Large interaction effect |
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Distribution | Parameter | CCA | FMLV | CMLV | FMC | CMC | CCA | FMLV | CMLV | FMC | CMC |
Normal | α | 1.21 | 1.02 | 1.01 | 1.01 | 1.01 | 1.20 | 1.01 | 1.00 | 1.01 | 1.01 |
γ 1 | 1.27 | 1.21 | 1.21 | 1.21 | 1.21 | 1.24 | 1.19 | 1.19 | 1.19 | 1.19 | |
γ 2 | 1.29 | 1.08 | 1.08 | 1.08 | 1.08 | 1.30 | 1.11 | 1.11 | 1.12 | 1.12 | |
γ 3 | 1.26 | 1.27 | 1.27 | 1.27 | 1.27 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | |
Skewed | α | 1.27 | 1.02 | 1.02 | 1.02 | 1.02 | 1.26 | 1.03 | 1.04 | 1.03 | 1.04 |
γ 1 | 1.32 | 1.29 | 1.29 | 1.30 | 1.30 | 1.29 | 1.29 | 1.29 | 1.28 | 1.28 | |
γ 2 | 1.29 | 1.13 | 1.13 | 1.14 | 1.14 | 1.33 | 1.22 | 1.22 | 1.22 | 1.22 | |
γ 3 | 1.34 | 1.35 | 1.35 | 1.36 | 1.36 | 1.29 | 1.32 | 1.32 | 1.31 | 1.31 | |
Kurtotic | α | 1.25 | 1.02 | 1.02 | 1.01 | 1.02 | 1.22 | 1.01 | 1.01 | 1.01 | 1.01 |
γ 1 | 1.27 | 1.24 | 1.24 | 1.23 | 1.23 | 1.24 | 1.21 | 1.21 | 1.21 | 1.21 | |
γ 2 | 1.30 | 1.09 | 1.09 | 1.09 | 1.09 | 1.27 | 1.17 | 1.17 | 1.17 | 1.17 | |
γ 3 | 1.33 | 1.34 | 1.34 | 1.33 | 1.33 | 1.26 | 1.27 | 1.27 | 1.27 | 1.27 |
Note. Ratio of missing data MSE to complete-data MSE. The x and xz variables (γ1 and γ3, respectively) have 20% missing data. MCAR = missing completely at random; CCA = complete-case analysis; FMLV = free mean latent variable model; CMLV = constrained mean latent variable model; FMC = free mean centering; CMC = constrained mean centering.