#' @title Estimating the linear time-dependency of the trait variance
#'
#' @description This function estimates the linear dependency of the trait variance on time.
#' This function is used by other functions and will generally not be used directly by users.
#'
#' @param x vector of sample means
#'
#' @param tt vector of sample ages
#'
#' @param model the model being evaluated
#'
#' @param theta if the tested model is stasis, theta is the estimated theta from the data.
#'
#' @details If model = stasis: Estimates the slope of the least square regression of the size of deviations
#' (their absolute value) from the optimal phenotype as a function of time. If model = random walk or directional
#' trend: Estimates the slope of the least square regression of the size of the detrended data as a function of time.
#' This function is used by other functions and will generally not be used directly by users.
#' @export
#' @return least-square slope estimate
#'
slope.test <- function(x, model, tt, theta=NULL, int=NULL, mstep=NULL){
if (model=="RW")
{
x<-x-x[1]
x<-diff(x,1)
tt<-tt[-(length(tt))]
slope.est<-(lm((abs(x))~tt)$coeff[2])
}
if (model =="trend")
{
x<-x-(int+mstep*tt)
slope.est<-(lm((abs(x))~tt)$coeff[2])
}
if (model =="stasis")
{
resid_stasis<-abs(x-theta)
slope.est<-lm(resid_stasis~tt)$coeff[2]
}
if (model =="OU")
{
slope.est<-lm(abs(x)~tt)$coeff[2]
}
return(slope.est)
}
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