Description Usage Format Details Examples
"env.historical" is an R environment containing the data generated from a historical influence mediation model.
1 | data("env.historical")
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An R environment
Z
a n\times T data matrix, treatment trajectory of n subjects for T time points.
M
a n\times T data matrix, mediator trajectory of n subjects for T time points.
Y
a n\times T data matrix, outcome trajectory of n subjects for T time points.
alpha
a T\times T matrix model coefficient.
beta
a T\times T matrix model coefficient.
gamma
a T\times T matrix model coefficient.
The data was generated from the historical influence mediation model
M(t)=\int_{Ω_{t}^{1}}Z(s)α(s,t)ds+ε_{1}(t),
Y(t)=\int_{Ω_{t}^{2}}Z(s)γ(s,t)ds+\int_{Ω_{t}^{3}}M(s)β(s,t)ds+ε_{2}(t),
where α(s,t), β(s,t), γ(s,t) are coefficient curves; Ω_{t}^{j}=[(t-δ_{j})\vee 0,t] for j=1,2,3. Z(t) is the convolution of hemodynamic response function (HRF) and event onsets.
1 2 3 4 | data(env.historical)
Z<-get("Z",env.historical)
M<-get("M",env.historical)
Y<-get("Y",env.historical)
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