weighted_z <- function(x,y,alternative=c("two.sided","less","great")){
data = data.frame(x,y)
xy1 = data[complete.cases(data),] #one sample test with n1
xy2 = data[is.na(data$x)|is.na(data$y), ]
x2 = na.omit(xy2$x)
y2 = na.omit(xy2$y)
x1 = xy1$x
y1 = xy1$y
d = x1-y1
x = c(x1,x2)
y = c(y1,y2)
n1 = length(d)
n2 = length(x2)
n3 = length(y2)
if (n1<3 & n2>3 & n3>3){
p2=t.test(x2,y2,alternative = "great")$p.value
zc=qnorm((1-p2),lower.tail = FALSE)
}
else if (n2<3 | n3<3){
p1=t.test(d,alterntive="great")$p.value
zc=qnorm((1-p1),lower.tail = FALSE)
}
else{
w1=sqrt(2*n1)
w2=sqrt(n2+n3)
p1=t.test(d,alterntive="great")$p.value
p2=t.test(x2,y2,alternative = "great")$p.value
z1=qnorm((1-p1),lower.tail = FALSE)
z2=qnorm((1-p2),lower.tail = FALSE)
zc=(w1*z1+w2*z2)/(sqrt(w1^2+w2^2))
}
if (alternative=="two.sided"){
pc=1-pnorm(zc,lower.tail = FALSE)
p.value=ifelse(pc < 0.5, 2*pc, 2*(1-pc))
}
else if (alternative=="great"){
cat("Great")
p.value=1-pnorm(zc,lower.tail = FALSE)
}
else{
cat("less")
p.value=1-pnorm(zc,lower.tail = TRUE)
}
cat("n1_paired match = ",n1,"\n")
cat("n2_tumor sample = ",n2,"\n")
cat("n3_matched normal =",n3,"\n")
cat("p.value=",p.value)
cat("\n")
}
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