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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 4.

Estimated parameters from the Shiffman data under an expanded model for recall.

Random Effects Model Independence Model

Parameter Posterior mode 95% CI Posterior mode 95% CI
Latent recall: Poisson model
 Intercept: β0 2.34 [2.21, 2.49] 1.51 [1.44, 1.58]
 ln(EMA): β1 0.25 [0.23, 0.28] 0.53 [0.51, 0.55]
 Addicted
  Possible vs. Definite 0.07 [−0.10, 0.24] 0.05 [0.01, 0.09]
  Probable vs. Definite −0.01 [−0.11, 0.08] −0.02 [−0.04, 0.006]
 FTND 0.06 [0.04, 0.08] 0.04 [0.03, 0.05]
 NDSS 0.08 [0.05, 0.12] 0.05 [0.04, 0.06]
 EMA compliance 0.13 [−0.28, 0.51] 0.39 [0.29, 0.49]
 Age 0.002 [−0.001, 0.006] 0.003 [0.002, 0.004]
 Race (Black vs. White) −0.14 [−0.27, −0.01] −0.06 [−0.10, −0.03]
 Sex (Male vs. Female) 0.16 [0.10, 0.23] 0.12 [0.09, 0.23]
 Education −0.001 [−0.03, 0.02] 0.003 [−0.004, 0.009]
σb2 0.06 [0.05, 0.07]
Heaping behavior: Proportional odds model
 Intercept 1: γ1 −1.62 [−2.35, −0.90] −1.14 [−1.37, −0.91]
 Intercept 2: γ2 −5.52 [−6.42, −4.61] −3.15 [−3.47, −2.82]
 Intercept 3: γ3 −10.31 [−12.65, −8.37] −4.54 [−4.99, −4.08]
 Exact count: w 0.11 [0.09, 0.14] 0.07 [0.06, 0.08]
 Visit day −2.99 [−3.51, −2.47] −1.26 [−1.50, −1.02]
σu2 6.79 [4.73, 8.68]