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sim.coeff.p <- function(nobs, nvar, baseP=.5, d=1, pi0=.9, seed=NULL) {
if(!is.null(seed)) set.seed(seed)
nobs0 = round(nobs*pi0)
nobs1 = nobs-round(nobs*pi0)
baseB = log(baseP/(1-baseP))
B0 = matrix(baseB, nrow=nobs0, ncol=nvar)
B1 = matrix(runif(nobs1*d, min=1, max=2), nrow=nobs1, ncol=d)
L = matrix(rnorm(nvar*d), nrow=d, ncol=nvar)
B1L = B1 %*% L
BL = rbind(B1L,B0)
prob = exp(BL)/(1+exp(BL))
Y = matrix(rbinom(nobs*nvar, 1, as.numeric(prob)), nobs, nvar)
H = c(rep(1, nobs1), rep(0, nobs0))
return(list(Y=Y, H=H, prob=prob))
}
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