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. Author manuscript; available in PMC: 2023 Jun 1.
Published in final edited form as: Psychometrika. 2022 Jan 25;87(2):376–402. doi: 10.1007/s11336-021-09831-9

Table 5:

Parameter Estimates for Empirical Data

Parameter ZIMLP
RS-ZIMLP
Est SE 95% CI Est SE 95% CI
Parameters in the Poisson Process (see Equations 23-24)
Fixed Effects
Intercept, γ0 −3.97 0.33 [−4.62, −3.32] −3.23 0.30 [−4.12, −2.75]
Gender, γ1 −1.02 0.53 [−2.08, 0.01] −0.95 0.49 [−1.91, 0.02]
Age, γ2 1.23 0.20 [0.83, 1.61] 1.17 0.19 [0.78, 1.55]
Marijuana use, β1 0.01 0.04 [−0.06, 0.09] 0.01 0.03 [−0.06, 0.08]
Cigarette use, β2 0.12 0.04 [0.04, 0.21] 0.10 0.04 [0.02, 0.18]
Random Effects
SD, σv 4.23 0.27 [3.73, 4.78] 3.96 0.24 [3.46, 4.38]
Parameters in the Regime-defining Model (see Equation 27)
Intercept, α0 −0.70 0.04 [−0.78, −0.61]
Bar, α1 0.03 0.04 [−0.04, 0.11]
Menth, α2 −0.03 0.04 [−0.11, 0.04]
Gym, α3 −0.08 0.04 [−0.16, 0.00]
SS, α4 −0.07 0.04 [−0.15, 0.02]
Together, α5 −0.12 0.05 [−0.22, −0.03]
Parameters in the Initial Regime Model (see Equation 25)
Intercept, π0 −1.76 0.22 [−2.20, −1.32]
Parameters in the RS Model (see Equation 26)
ZI → drinking, Intercept, α10,0 −1.60 0.06 [−1.72, −1.48]
ZI → drinking, Bar, α10,1 0.01 0.06 [−0.12, 0.12]
ZI → drinking, Menth, α10,2 0.04 0.06 [−0.08, 0.15]
ZI → drinking, Gym, α10,3 −0.11 0.06 [−0.24, 0.02]
ZI → drinking, SS, α10,4 0.00 0.07 [−0.14, 0.14]
ZI → drinking, Together, α10,5 0.01 0.07 [−0.12, 0.16]
drinking → ZI, Intercept, α01,0 −0.44 0.07 [−0.58, −0.30]
drinking → ZI, Bar, α01,1 −0.08 0.08 [−0.24, 0.07]
drinking → ZI, Menth, α01,2 0.06 0.07 [−0.08, 0.21]
drinking → ZI, Gym, α01,3 0.12 0.08 [−0.03, 0.28]
drinking → ZI, SS, α01,4 0.12 0.09 [−0.06, 0.28]
drinking → ZI, Together, α01,5 0.18 0.09 [0.01, 0.36]
Parameters in the Covariate Model (see Equation 14)
Marijuana use
ϕ x 1 0.12 0.01 [0.10, 0.14] 0.12 0.01 [0.09, 0.14]
σ x 1 0.46 0.00 [0.45, 0.46] 0.46 0.00 [0.45, 0.46]
Cigarette use
ϕ x 2 0.25 0.01 [0.23, 0.27] 0.25 0.01 [0.23, 0.27]
σ x 2 0.45 0.00 [0.44, 0.45] 0.45 0.00 [0.44, 0.45]
Time spent at bars
ϕ z 1 0.11 0.01 [0.09, 0.12] 0.11 0.01 [0.09, 0.12]
σ z 1 0.98 0.01 [0.97, 0.99] 0.98 0.01 [0.97, 0.99]
Time spent at mental health services
ϕ z 2 0.03 0.01 [0.02, 0.05] 0.03 0.01 [0.02, 0.05]
σ z 2 0.97 0.01 [0.96, 0.98] 0.97 0.01 [0.96, 0.98]
Time spent at gyms
ϕ z 3 0.09 0.01 [0.08, 0.11] 0.09 0.01 [0.08, 0.11]
σ z 3 0.98 0.01 [0.97, 0.99] 0.98 0.01 [0.97, 0.99]
Shared space with twin siblings
ϕ z 4 0.32 0.01 [0.31, 0.33] 0.32 0.01 [0.31, 0.33]
σ z 4 0.86 0.00 [0.85, 0.87] 0.86 0.00 [0.85, 0.87]
Time spent with twin siblings
ϕ z 5 0.29 0.01 [0.27, 0.31] 0.29 0.01 [0.27, 0.31]
σ z 5 0.94 0.01 [0.93, 0.95] 0.94 0.01 [0.93, 0.95]