# Frequentist sample size for single arm single stage binomial trial
freq_binom_one_onestage=function(p0,p1,alpha,power,prior.a=0,prior.b=0,round=TRUE){
n=0
a=0;b=0
while(b<power){
n=n+1
a=qbinom(1-alpha,n,p0)
b=1-pbinom(a,n,p1)
}
alpha=1-pbinom(a,n,p0)
eta=round(1-pbeta(p0,prior.a+a+1,prior.b+n-a-1),3)
zeta=round(pbeta(p1,prior.a+a,prior.b+n-a),3)
success=a+1
if(round==TRUE){
alpha=round(alpha,3)
power=round(b,3)
eta=round(eta,3)
zeta=round(zeta,3)
}
return(trialDesign_binom_one(reviews=n,success=success,eta=eta,zeta=zeta,alpha=alpha,power=power,exp.p0=n,exp.p1=n,p0=p0,p1=p1))
}
# ended
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