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. Author manuscript; available in PMC: 2014 Jan 13.
Published in final edited form as: Ann Appl Stat. 2012;6(4):1689–1706. doi: 10.1214/12-AOAS557

Table 1.

Results of 100 simulations of the mis-remembering/heaping model.

Parameter True value Mean of estimate SD of estimate Bias
MSE
Coverage of 95% CI(%)
Case 1: Estimated mis-remembering

Latent recall
β0 2.36 2.36 0.07 0.002 0.07 95
β1 0.26 0.26 0.02 0.001 0.02 93
σb 0.30 0.30 0.02 0.001 0.02 95
Heaping behavior
γ1 −1.49 −1.53 0.56 −0.04 0.56 94
γ2 −5.28 −5.31 0.66 −0.03 0.66 98
γ3 −10.14 −9.99 2.55 0.15 2.54 80
γ0 0.11 0.11 0.02 0.002 0.02 96
σu 2.67 2.61 0.29 −0.06 0.29 98
Case 2: Minimal mis-remembering

Latent recall
β0 0.0 −0.01 0.09 −0.01 0.09 94
β1 1.0 1.00 0.03 0.005 0.03 94
σb 0.22 0.22 0.02 −0.001 0.02 97
Heaping behavior
 γ1 −1.07 −1.08 0.43 −0.007 0.43 98
γ2 −4.37 −4.36 0.60 0.007 0.59 94
γ3 −6.52 −6.43 0.66 0.09 0.67 94
γ0 0.088 0.090 0.02 0.002 0.02 95
σu 2.44 2.41 0.27 −0.02 0.27 95