Table 3.

Estimated parameters from the Shiffman data under simple models for recall (EMA only) and heaping (remembered count and visit day indicator).

	Random Effects Model		Independence Model
Parameter	Posterior mode	95% CI	Posterior mode	95% CI
Latent recall: Poisson model
Intercept: β0	2.32	[2.24, 2.40]	1.14	[1.09, 1.20]
ln(EMA): β1	0.27	[0.25, 0.30]	0.68	[0.66, 0.69]
${\sigma }_b^2$	0.09	[0.08, 0.11]
Heaping behavior: Proportional odds model
Intercept 1: γ1	−1.50	[−2.17, −0.85]	−1.06	[−1.30, −0.84]
Intercept 2: γ2	−5.21	[−6.14, −4.43]	−2.94	[−3.26, −2.65]
Intercept 3: γ3	−10.15	[−12.49, −8.48]	−4.17	[−4.59, −3.82]
Exact count (latent): w	0.11	[0.09, 0.13]	0.07	[0.06, 0.08]
Visit day	−2.96	[−3.50, −2.50]	−1.29	[−1.54, −1.06]
${\sigma }_u^2$	6.65	[5.12, 9.08]