#' Marginal mean of C across experiments to have E(C|X =x) continuous in x.
#'
#' @param meanCexp1 A vector of length equal to the number of covariates
#' including the marginal mean of each covariate in experiment 1.
#' @param XCcov A matrix of two dimensions. Element ij describes the covariance
#' of variable Ci with X in experiment j.
#' @param exper_change A vector including the points sbar that specify the
#' experiments. exper_change includes the minimum and maximum of the exposure
#' range.
#' @param meanX A vector including the mean of X in each experiment.
#' @param varX A vector including the variance of X in each experiment.
XCcontinuous <- function(meanCexp1, XCcov, exper_change, meanX, varX) {
num_conf <- length(meanCexp1)
num_exper <- dim(XCcov)[2]
ret_means <- matrix(NA, nrow = num_conf, ncol = num_exper)
ret_means[, 1] <- meanCexp1
if (num_exper > 1) {
for (cc in 1:num_conf) {
for (ee in 2:num_exper) {
term1 <- XCcov[cc, ee - 1] / varX[ee - 1]
term1 <- term1 * (exper_change[ee] - meanX[ee - 1])
term2 <- - XCcov[cc, ee] / varX[ee] * (exper_change[ee] - meanX[ee])
ret_means[cc, ee] <- ret_means[cc, ee - 1] + term1 + term2
}
}
}
return(ret_means)
}
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