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. Author manuscript; available in PMC: 2018 Nov 1.
Published in final edited form as: Biom J. 2017 May 16;59(6):1277–1300. doi: 10.1002/bimj.201600235

Table 2.

Landmark models fit in simulation study.

Model Hazard Label2
LM1 h0τ (t)exp{β(τ)Z(τ) + ζX} (LM1)
h(t|τ,Z(τ), X) h0(t) exp{θ(τ) + β(τ)Z(τ) + ζX} (LM2)
h0(t) exp{θ(τ) + β0Z(τ) + ω(tτ)Z(τ) + ζX} (LM3)
h0(t) exp{θ(τ) + β(τ)Z(τ) + ω(tτ)Z(τ) + ζX} (LM4)
LM, V* h0τ(t) exp{β(τ)Z(τ) + γV*Z(τ) + ζX} (LSM1)
h(t|τ, Z(τ), X,V* h0(t) exp{θ(τ) + β(τ)Z(τ) + γV*Z(τ) + ζX} (LSM2)
h0(t) exp{θ(τ) + β0Z(τ) + ω(tτ)Z(τ) + γV*Z(τ) + ζX} (LSM3)
h0(t) exp{θ(τ) + β(τ)Z(τ) + ω(tτ)Z(τ) + γV*Z(τ) + ζX} (LSM4)
LM, Interaction h0(t) exp{θ(τ) + β(τ)Z(τ) + ζX + ϕXZ(τ)} (LMInt2)
h(t|τ, Z(τ), X) h0(t) exp{θ(τ) + β0Z(τ) + ω(tτ)Z(τ) + ζX + ϕXZ(τ)} (LMInt3)
h0(t) exp{θ(τ) + β(τ)Z(τ) + ω(tτ)Z(τ) + ζX + ϕXZ(τ)} (LMInt4)
1

LM: landmark model;

2

(*1): Super model; (*2): Extended super model; (*3): Extended super model, nonproportional hazards; (*4): Extended super model, non-proportional hazards, covariate effects are a function of landmark time