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#function gemean() compute G-estimator (IPWN) for single ATS value
gemean<-function(data,ats=NULL){
D<-as.data.frame(data)
ATS<-ats
if (is.null(D$O1)) {Base<-0} else {Base<-1}
Nstage<-nstage(data=D)
N<-nrow(D)
if (Nstage==1 && Base==0) {eu<-mean(D$Y[which(D$A1==ATS[1])])} else
if (Nstage==1 && Base==1) {w0<-P0<-length(D$Y[which(D$O1==0)])/N
w1<-P1<-1-P0
mu0<-mean(D$Y[which(D$O1==0 &
D$A1==ATS[1])])
mu1<-mean(D$Y[which(D$O1==1 &
D$A1==ATS[2])])
eu<-w0*mu0+w1*mu1
} else
if (Nstage==2 && Base==0) {
P0<-length(D$Y[which(D$A1==ATS[1] &
D$O2==0)])/length(D$Y[which(D$A1==ATS[1])])
P1<-1-P0
w0<-P0
w1<-P1
mu0<-mean(D$Y[which(D$A1==ATS[1] & D$O2==0 &
D$A2==ATS[2])])
mu1<-mean(D$Y[which(D$A1==ATS[1] & D$O2==1 &
D$A2==ATS[3])])
eu<-w0*mu0+w1*mu1} else
if (Nstage==2 && Base==1) {
P0<-length(D$Y[which(D$O1==0)])/N
P1<-1-P0
P00<-length(D$Y[which(D$O1==0 & D$A1==ATS[1] &
D$O2==0)])/length(D$Y[which(D$O1==0 &
D$A1==ATS[1])])
P01<-length(D$Y[which(D$O1==0 & D$A1==ATS[1] &
D$O2==1)])/length(D$Y[which(D$O1==0 &
D$A1==ATS[1])])
P10<-length(D$Y[which(D$O1==1 & D$A1==ATS[2] &
D$O2==0)])/length(D$Y[which(D$O1==1 &
D$A1==ATS[2])])
P11<-length(D$Y[which(D$O1==1 & D$A1==ATS[2] &
D$O2==1)])/length(D$Y[which(D$O1==1 &
D$A1==ATS[2])])
w00<-P0*P00
w01<-P0*P01
w10<-P1*P10
w11<-P1*P11
mu00<-mean(D$Y[which(D$O1==0 & D$A1==ATS[1] &
D$O2==0 & D$A2==ATS[3])])
mu01<-mean(D$Y[which(D$O1==0 & D$A1==ATS[1] &
D$O2==1 & D$A2==ATS[4])])
mu10<-mean(D$Y[which(D$O1==1 & D$A1==ATS[2] &
D$O2==0 & D$A2==ATS[5])])
mu11<-mean(D$Y[which(D$O1==1 & D$A1==ATS[2] &
D$O2==1 & D$A2==ATS[6])])
eu<-w00*mu00+w01*mu01+w10*mu10+w11*mu11
} else
if (Nstage==3 && Base==0) {
P0<-length(D$Y[which(D$A1==ATS[1] &
D$O2==0)])/length(D$Y[which(D$A1==ATS[1])])
P1<-1-P0
P00<-length(D$Y[which(D$A1==ATS[1] &
D$O2==0 & D$A2==ATS[2] & D$O3==0)])/
length(D$Y[which(D$A1==ATS[1] &
D$O2==0 & D$A2==ATS[2])])
P01<-1-P00
P10<-length(D$Y[which(D$A1==ATS[1] &
D$O2==1 & D$A2==ATS[3] & D$O3==0)])/
length(D$Y[which(D$A1==ATS[1] &
D$O2==1 & D$A2==ATS[3])])
P11<-1-P10
w00<-P0*P00
w01<-P0*P01
w10<-P1*P10
w11<-P1*P11
mu00<-mean(D$Y[which(D$A1==ATS[1] &
D$O2==0 & D$A2==ATS[2] & D$O3==0 & D$A3==ATS[4])])
mu01<-mean(D$Y[which(D$A1==ATS[1] &
D$O2==0 & D$A2==ATS[2] & D$O3==1 & D$A3==ATS[5])])
mu10<-mean(D$Y[which(D$A1==ATS[1] &
D$O2==1 & D$A2==ATS[3] & D$O3==0 & D$A3==ATS[6])])
mu11<-mean(D$Y[which(D$A1==ATS[1] &
D$O2==1 & D$A2==ATS[3] & D$O3==1 & D$A3==ATS[7])])
eu<-w00*mu00+w01*mu01+w10*mu10+w11*mu11}
##else
##if (Nstage==3 && Base==1) {
## P0<-length(D$Y[which(D$O1==0)])/N
## P1<-1-P0
##
## P00<-length(D$Y[which(D$O1==0 & D$A1==ATS[1] & D$O2==0)])/
## length(D$Y[which(D$O1==0 & D$A1==ATS[1])])
## P01<-1-P00
## P10<-length(D$Y[which(D$O1==1 & D$A1==ATS[2] & D$O2==0)])/
## length(D$Y[which(D$O1==1 & D$A1==ATS[2])])
## P11<-1-P10
##
## P000<-length(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==0 & D$A2==ATS[3] & D$O3==0)])/
## length(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==0 & D$A2==ATS[3])])
## P001<-1-P000
## P010<-length(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==1 & D$A2==ATS[4] & D$O3==0)])/
## length(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==1 & D$A2==ATS[4])])
## P011<-1-P010
## P100<-length(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==0 & D$A2==ATS[5] & D$O3==0)])/
## length(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==0 & D$A2==ATS[5])])
## P101<-1-P100
## P110<-length(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==1 & D$A2==ATS[6] & D$O3==0)])/
## length(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==1 & D$A2==ATS[6])])
## P111<-1-P110
##
##w000<-P0*P00*P000
##w001<-P0*P00*P001
##w010<-P0*P01*P010
##w011<-P0*P01*P011
##w100<-P1*P10*P100
##w101<-P1*P10*P101
##w110<-P1*P11*P110
##w111<-P1*P11*P111
##
##mu000<-mean(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==0 & D$A2==ATS[3] &
## D$O3==0 & D$A3==ATS[7])])
##mu001<-mean(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==0 & D$A2==ATS[3] &
## D$O3==1 & D$A3==ATS[8])])
##mu010<-mean(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==1 & D$A2==ATS[4] &
## D$O3==0 & D$A3==ATS[9])])
##mu011<-mean(D$Y[which(D$O1==0 & D$A1==ATS[1] &
## D$O2==1 & D$A2==ATS[4] &
## D$O3==1 & D$A3==ATS[10])])
##mu100<-mean(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==0 & D$A2==ATS[5] &
## D$O3==0 & D$A3==ATS[11])])
##mu101<-mean(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==0 & D$A2==ATS[5] &
## D$O3==1 & D$A3==ATS[12])])
##mu110<-mean(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==1 & D$A2==ATS[6] &
## D$O3==0 & D$A3==ATS[13])])
##mu111<-mean(D$Y[which(D$O1==1 & D$A1==ATS[2] &
## D$O2==1 & D$A2==ATS[6] &
## D$O3==1 & D$A3==ATS[14])])
##
##eu<-w000*mu000+w001*mu001+w010*mu010+w011*mu011+
## w100*mu100+w101*mu101+w110*mu110+w111*mu111
##}
return(eu)
}
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