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. Author manuscript; available in PMC: 2017 Nov 1.
Published in final edited form as: J Exp Anal Behav. 2016 Nov;106(3):242–253. doi: 10.1002/jeab.228

Table 5.

Simulation results for two-part mixed effects model and left-censored mixed effects model.

Parameter True
value
Relative bias Coverage
rate
Monte Carlo
SD
Model-based
SE
Two-part mixed effects model
β0 −4.00 0.003 0.936 0.368 0.384
β1 3.00 0.001 0.936 0.383 0.399
logQ0 2.50 −0.000 0.955 0.018 0.019
k 4.00 −0.000 0.954 0.005 0.005
α 0.35 0.000 0.947 0.001 0.001
σa2 4.00 0.017 0.919 1.362 1.481
σb2 0.36 0.001 0.953 0.016 0.016
ρab 0.50 0.013 0.956 0.040 0.041
σe2 0.0025 −0.001 0.958 0.000 0.000

Left-censored mixed effects model
logQ0 2.50 0.012 0.583 0.019 0.017
k 4.00 0.035 0.000 0.018 0.025
α 0.35 0.175 0.000 0.005 0.005
σb2 0.36 −0.250 0.000 0.012 0.013
σe2 0.0025 1.422 0.000 0.007 0.002

Note. SD: standard deviation; SE: standard error; Relative bias = (estimate – true)/true ×100%; The correlation coefficient parameter ρab is defined as ρab = σab/(σa·σb).