#' Extract global F statistic for several Lineages
#' @export
#' @param Lineages see \code{\link{get_lineages_and_stats}}
#' @param X dataset input to \code{\link{dendromap}} from which lineages were made
#' @param colEdgeTips \code{\link{edge_tips}} for col.tree
#' @param rowEdgeTips \code{\link{edge_tips}} for row.tree
#' @examples
global_Fstat <- function(Lineages,X,colEdgeTips,rowEdgeTips){
lineages <- split(Lineages,f = factor(Lineages$lineage_id)) %>%
lapply(lineage_boxes,X,colEdgeTips,rowEdgeTips) %>% rbindlist
Xdt <- data.table('i'=rep(1:nrow(X),times=ncol(X)),
'j'=rep(1:ncol(X),each=nrow(X)),
'x'=c(X))
setkey(Xdt,i,j)
setkey(lineages,i,j)
Xdt <- lineages[,c('i','j','lineage_id','box')][Xdt]
Xdt[is.na(lineage_id),lineage_id:=-1]
Xdt[is.na(box),box:=-1]
Xdt[,group:=paste(lineage_id,box,sep='_')]
Xdt[,yhat:=mean(x,na.rm=T),by=group]
a=aov(x~box,data=Xdt) %>% summary
return(a[[1]]['box','F value'])
}
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