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# This package calculates weather indices from weather variables for using as input for further analysis.
AutoWeatherIndices<-function(x,nw)
{
imd<-as.matrix(x[,-1])
yld<-as.numeric(unlist(x[,1]))
no_of_weeks<-nw
no_of_w_variables<-round(ncol(imd)/no_of_weeks)
no_of_years<-as.numeric(nrow(imd))
wmatrix<- list()
j<-1
k<-no_of_weeks
for (i in 1:no_of_w_variables)
{
wmatrix[[i]] <- imd[,j:k]
j=j+no_of_weeks
k=k+no_of_weeks
}
t<-1:no_of_years;t
dt<-stats::lm(yld~t)
adjustedyield<-dt$residuals
cor_wv<-matrix(nrow=no_of_weeks,ncol=no_of_w_variables,byrow = TRUE)
varZ1<-matrix(nrow=no_of_years,ncol=no_of_w_variables)
varZ0<-matrix(nrow=no_of_years,ncol=no_of_w_variables)
k<-no_of_weeks
i<-1
for (j in 1:no_of_w_variables)
{
for(i in i:k)
{
cor_wv[i]<-stats::cor(adjustedyield,imd[,i])
}
i=i+1
k=k+no_of_weeks
varZ1[,j]<-(rowSums(wmatrix[[j]]%*%as.vector(cor_wv[,j])))
varZ0[,j]<-(rowSums(wmatrix[[j]]))
}
##To find the product of the weather variable
wpmatrix<-list()
m<-1
for (p in 1:no_of_w_variables)
{
for (q in p+1:no_of_w_variables)
{
if(q<=no_of_w_variables)
{
wpmatrix[[m]]<-wmatrix[[p]]*wmatrix[[q]]
m=m+1
}
}
}
#computing the correlation matrix
combi<-(gtools::combinations(no_of_w_variables,2))
tol_combi<-2*nrow(combi)
corp_wv<-matrix(nrow=no_of_weeks,ncol=nrow(combi),byrow = TRUE)
varZ11<-matrix(nrow=no_of_years,ncol=nrow(combi))
varZ10<-matrix(nrow=no_of_years,ncol=nrow(combi))
k<-no_of_weeks
i<-1
l<-1
for (j in 1:nrow(combi))
{ b=1
for(i in i:k)
{
corp_wv[i]<-stats::cor(adjustedyield,wpmatrix[[j]][,b])
b=b+1
}
i=i+1
k=k+no_of_weeks
varZ11[,j]<-(rowSums(wpmatrix[[j]]%*%as.vector(corp_wv[,j])))
varZ10[,j]<-(rowSums(wpmatrix[[j]]))
}
w_indices<-cbind(varZ0,varZ1,varZ10,varZ11)
correlation_mat_wv<-cor_wv
correlation_mat_wvp<-corp_wv
return_list<-list(w_indices,correlation_mat_wv,correlation_mat_wvp)
return(return_list)
}
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