. Author manuscript; available in PMC: 2017 Apr 11.

Published in final edited form as: Stat Methods Med Res. 2014 Apr 16;25(6):2634–2649. doi: 10.1177/0962280214529932

Table 1.

Posterior average estimates from 30 simulations of the model parameters for each of three models in the primary case and model three in the secondary case.

Parameter		True value	Estimate averaged over simulations
			Model one Primary case	Model two Primary case	Model three Primary case	Model three Secondary case
			Mean deviance: 425.3	Mean deviance: 427.6	Mean deviance: 425.2	Mean deviance: 859.11
Constant dichotomous predictor	η₁	0.3	0.240 (−0.011, 0.606)	0.583 (0.032, 1.130)	0.397 (−0.047, 0.956)	0.038 (−0.213, 0.489)
Constant continuous predictor	η₂	0.1	–	0.101 (0.024, 0.229)	0.140 (0.013, 0.313)	0.076 (−0.022, 0.230)
Time-varying continuous predictor	η₃	0.5	–	–	0.554 (0.345, 0.882)	0.591 (0.407, 0.897)
Latent willingness	γ₂	1.5	1.065 (0.739, 1.481)	1.137 (0.885, 1.451)	1.355 (0.929, 1.681)	1.007 (0.523, 1.380)
Latent ability	γ₃	1.5	1.731 (1.597, 1.817)	1.674 (1.535, 1.789)	1.635 (1.260, 1.808)	1.723 (1.551, 1.842)
Latent interaction	γ₄	1.0	1.516 (1.361, 1.633)	1.455 (1.293, 1.593)	1.448 (1.149, 1.630)	1.591 (1.245, 1.748)