#Part of the HMFA function within DiDiSTATIS
#
#'Collapse tables for HMFA
#'
#'@param CP_array A array of cross-product matrices
#'@param DESIGN_rows List of DESIGN info for rows
#'@param DESIGN_tables List of DESIGN info for tables
#'@return A list of compromises and other computed objects
#'@export
GetGrandConsensus <- function(CP_array, DESIGN_rows, DESIGN_tables){
HMFA_collapsed <- list()
HMFA_collapsed$data$CP_array <- CP_array
###########################
## 1. Get Group Consensuses
# 1a. dilate1, a vector of length "D", that gives the number of people in each group, "C(d)"
dilate1 <- colSums(DESIGN_tables$mat)
HMFA_collapsed$coef$dilate1 <- dilate1
# 1b. MFA1, a vector of length "CD", that gives the MFA coefficient of each of the CD tables (this is 1 for each participant)
MFA1 <- MFAnormCPFinder(CP_array)
HMFA_collapsed$coef$MFA1 <- MFA1
NormedCP_array <- CP2MFAnormedCP(CP_array) #This is CP_array with each table scaled by its MFA1 coefficient
HMFA_collapsed$data$NormedCP_array <- NormedCP_array
# Compute GroupConsensus_array[,,<d>])
HMFA_collapsed$data$GroupConsensus_array <- array(NA, dim=c(DESIGN_rows$AB,DESIGN_rows$AB,DESIGN_tables$D))
#For each of the D groups...
for(d in 1:DESIGN_tables$D){
#designate the relevant tables
these_tables <- c(which(DESIGN_tables$mat[,d]==1))
##Compute each GroupConsensus (depends on ComputeSplus.R)
#use alpha_C_in_D<d> to compute Consensus_Plus_in_d<d>
GetGroupConsensus <- paste0("HMFA_collapsed$data$GroupConsensus_array[,,",d,"] <- apply(NormedCP_array[,,these_tables], c(1,2), sum)")
eval(parse(text = GetGroupConsensus))
}
#And reassign the names to the Group Consensuses
dimnames(HMFA_collapsed$data$GroupConsensus_array) <- list(rownames(CP_array), rownames(CP_array), colnames(DESIGN_tables))
###########################
## 2. Get Grand Consensus
# 2a. dilate2, a scalar, the number of groups, "D".
dilate2 <- DESIGN_tables$D
HMFA_collapsed$coef$dilate2 <- dilate2
# 2b. MFA2, a vector of length "D", that gives the MFA coefficient of each of the D GroupConsensuses
MFA2 <- MFAnormCPFinder(HMFA_collapsed$data$GroupConsensus_array)
HMFA_collapsed$coef$MFA2 <- MFA2
# and apply MFA2 to the Group Consensuses to give the NormedGroupConsensus_array
NormedGroupConsensus_array <- CP2MFAnormedCP(HMFA_collapsed$data$GroupConsensus_array)
HMFA_collapsed$data$NormedGroupConsensus_array <- NormedGroupConsensus_array
# Compute the Grand Consensus
GrandConsensus <- apply(NormedGroupConsensus_array, c(1,2), sum)
HMFA_collapsed$data$GrandConsensus <- GrandConsensus
###########################
## 3. Apply coefficients to compute the OverWeighted individual and group data.
######
# 3a. OverWeighted_CP_array
OverWeighted_CP_array <- array(NA, dim=c(DESIGN_rows$AB, DESIGN_rows$AB, DESIGN_tables$CD))
for(d in 1:DESIGN_tables$D){
for(c in 1:colSums(DESIGN_tables$mat)[d]){
this_table <- which(DESIGN_tables$mat[,d]==1)[c]
OverWeighted_CP_array[,,this_table] <- (CP_array[,,this_table] *
dilate1[d] *
MFA1[this_table] *
dilate2 *
MFA2[d])
}
}
HMFA_collapsed$data$OverWeighted_CP_array <- OverWeighted_CP_array
#####
# 3b. OverWeighted_GroupConsensus_array
OverWeighted_GroupConsensus_array <- array(NA, dim=c(DESIGN_rows$AB, DESIGN_rows$AB, DESIGN_tables$D))
for(d in 1:DESIGN_tables$D){
OverWeighted_GroupConsensus_array[,,d] <- (HMFA_collapsed$data$GroupConsensus_array[,,d] *
dilate2 *
MFA2[d])
}
HMFA_collapsed$data$OverWeighted_GroupConsensus_array <- OverWeighted_GroupConsensus_array
return(HMFA_collapsed)
}
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