#function atsscan() return all the strategies defined in a
#sequential randomized clinical trial data
atsscan<-function(data){
D<-as.data.frame(data)
if (is.null(D$O1)) {Base<-0} else {Base<-1}
Nstage<-nstage(data=D)
N<-nrow(D)
Dmat<-NULL
if (Nstage==1 && Base==0) {
g<-1
Ivec<-sort(unique(D$A1))
for (i in Ivec){
ng<-length(D$Y[which(D$A1==i)])
Dmat<-rbind(Dmat,c(g,i,ng))
colnames(Dmat)<-c("ATS","d0","N")
g<-g+1}} else
if (Nstage==1 && Base==1) {
g<-1
Ivec0<-sort(unique(D$A1[which(D$O1==0)]))
Ivec1<-sort(unique(D$A1[which(D$O1==1)]))
if (!length(Ivec0)) {Ivec0<--99}
if (!length(Ivec1)) {Ivec1<--99}
for (i0 in Ivec0){
for (i1 in Ivec1){
n0<-length(D$Y[which(D$O1==0 & D$A1==i0)])
n1<-length(D$Y[which(D$O1==1 & D$A1==i1)])
ng<-sum(n0,n1)
Dmat<-rbind(Dmat,c(g,i0,i1,ng))
colnames(Dmat)<-c("ATS","d0","d1","N")
g<-g+1}}} else
if (Nstage==2 && Base==0) {
g<-1
Ivec<-sort(unique(D$A1))
for (i in Ivec){
Jvec0<-sort(unique(D$A2[which(D$A1==i & D$O2==0)]))
Jvec1<-sort(unique(D$A2[which(D$A1==i & D$O2==1)]))
for (j0 in Jvec0) {
for (j1 in Jvec1) {
n0<-length(D$Y[which(D$A1==i & D$O2==0 & D$A2==j0)])
n1<-length(D$Y[which(D$A1==i & D$O2==1 & D$A2==j1)])
ng<-sum(n0,n1)
Dmat<-rbind(Dmat,c(g,i,j0,j1,ng))
colnames(Dmat)<-c("ATS","d0","d00","d10","N")
g<-g+1}}}} else
if (Nstage==2 && Base==1) {
g<-1
Ivec0<-sort(unique(D$A1[which(D$O1==0)]))
Ivec1<-sort(unique(D$A1[which(D$O1==1)]))
for (i0 in Ivec0){
for (i1 in Ivec1){
Jvec00<-sort(unique(D$A2[which(D$O1==0 & D$A1==i0 &
D$O2==0)]))
Jvec01<-sort(unique(D$A2[which(D$O1==0 & D$A1==i0 &
D$O2==1)]))
Jvec10<-sort(unique(D$A2[which(D$O1==1 & D$A1==i1 &
D$O2==0)]))
Jvec11<-sort(unique(D$A2[which(D$O1==1 & D$A1==i1 &
D$O2==1)]))
for (j00 in Jvec00) {
for (j01 in Jvec01) {
for (j10 in Jvec10) {
for (j11 in Jvec11) {
n00<-length(D$Y[which(D$O1==0 & D$A1==i0 &
D$O2==0 & D$A2==j00)])
n01<-length(D$Y[which(D$O1==0 & D$A1==i0 &
D$O2==1 & D$A2==j01)])
n10<-length(D$Y[which(D$O1==1 & D$A1==i1 &
D$O2==0 & D$A2==j10)])
n11<-length(D$Y[which(D$O1==1 & D$A1==i1 &
D$O2==1 & D$A2==j11)])
ng<-sum(n00,n01,n10,n11)
Dmat<-rbind(Dmat,c(g,i0,i1,j00,j01,j10,j11,ng))
colnames(Dmat)<-c("ATS","d0","d1","d00","d01","d10","d11","N")
g<-g+1}}}}}}} else
if (Nstage==3 && Base==0) {
g<-1
Ivec<-sort(unique(D$A1))
for (i in Ivec){
Jvec0<-sort(unique(D$A2[which(D$A1==i & D$O2==0)]))
Jvec1<-sort(unique(D$A2[which(D$A1==i & D$O2==1)]))
for (j0 in Jvec0) {
for (j1 in Jvec1) {
Kvec00<-sort(unique(D$A3[which(D$A1==i & D$O2==0 &
D$A2==j0 & D$O3==0)]))
Kvec01<-sort(unique(D$A3[which(D$A1==i & D$O2==0 &
D$A2==j0 & D$O3==1)]))
Kvec10<-sort(unique(D$A3[which(D$A1==i & D$O2==1 &
D$A2==j1 & D$O3==0)]))
Kvec11<-sort(unique(D$A3[which(D$A1==i & D$O2==1 &
D$A2==j1 & D$O3==1)]))
for (k00 in Kvec00) {
for (k01 in Kvec01) {
for (k10 in Kvec10) {
for (k11 in Kvec11) {
n00<-length(D$Y[which(D$A1==i & D$O2==0 &
D$A2==j0 & D$O3==0 & D$A3==k00)])
n01<-length(D$Y[which(D$A1==i & D$O2==0 &
D$A2==j0 & D$O3==1 & D$A3==k01)])
n10<-length(D$Y[which(D$A1==i & D$O2==1 &
D$A2==j1 & D$O3==0 & D$A3==k10)])
n11<-length(D$Y[which(D$A1==i & D$O2==1 &
D$A2==j1 & D$O3==1 & D$A3==k11)])
ng<-sum(n00,n01,n10,n11)
Dmat<-rbind(Dmat,c(g,i,j0,j1,k00,k01,k10,k11,ng))
colnames(Dmat)<-c("ATS","d0","d00","d01","d000",
"d001","d010","d011","N")
g<-g+1 }}}}}}}}
return(Dmat)
}
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