# I've applied Wright's rank and sign test. I got R1,R2 but R3 resulted in NaN

I've applied Wright's rank and sign test using Rstudio. I got R1,R2 but R3 resulted in NaN.. what is the reason of such a result? and how to get the sign result?
I am using the "vrtest" package.

Thank you.

the documentation of the function does not mention R3 (however it mentions S1).
The example uses `data(exrates)` but executing that gives me an error:
probably the data belongs to a package that is not installed on my computer.
So no further help from me, I am afraid.

EDIT: forgot to do `library(vrtest)`
The data is in the vrtest package itself.

The documentation mentions S1 but the output indicates R3 ??

``````Wright {vrtest}	R Documentation
Wright's Rank and Sign Tests
Description
The function returns R1, R2 and S1 tests statistics detailed in Wright (2000)
``````
``````> data(exrates)
> y <- exrates\$ca
> nob <- length(y)
> r <- log(y[2:nob])-log(y[1:(nob-1)])
> kvec <- c(2,5,10)
> Wright(r,kvec)
\$Stats
R1       R2       R3
k=2  2.483482 2.511358 2.015755
k=5  2.847969 2.106418 3.431291
k=10 2.188621 1.105754 3.606674
``````

Viewed the code, but it did not help me much.
Maybe depending on the function argument for `Wright` that you specify.
`vrtest` functions below:

``````> Wright
function (y, kvec)
{
y <- as.matrix(y)
n <- nrow(y)
W_mat <- matrix(NA, nrow = length(kvec), ncol = 3)
for (i in 1:length(kvec)) {
k <- kvec[i]
W <- Wright_stat(y, k)
W_mat[i, ] <- cbind(W\$WR1, W\$WR2, W\$WS1)
}
VR <- W_mat
rownames(VR) <- paste("k=", kvec, sep = "")
colnames(VR) <- c("R1", "R2", "R3")
return(list(Stats = VR))
}
<bytecode: 0x0000024df212f038>
<environment: namespace:vrtest>
> vrtest:::Wright_stat
function (y, k)
{
y <- as.matrix(y)
n <- nrow(y)
ranking <- as.matrix(rank(y))
r1 <- (ranking - 0.5 * (n + 1))/sqrt((n - 1) * (n + 1)/12)
r2 <- qnorm(ranking/(n + 1))
s <- sign(y)
s[s == 0] <- -1
R1 <- stat(r1, k)
R2 <- stat(r2, k)
S1 <- stat(s, k)
return(list(WR1 = R1, WR2 = R2, WS1 = S1))
}
<bytecode: 0x0000024df2127498>
<environment: namespace:vrtest>
> vrtest:::stat
function (x, k)
{
x <- as.matrix(x)
n <- nrow(x)
index <- 1:k
summ <- 0
for (i in k:n) {
summ <- summ + sum(x[index])^2
index <- index + 1
}
vr1 <- sum(x^2)/n
vr2 <- summ/(n * k)
vr <- vr2/vr1
tem1 <- 2 * (2 * k - 1) * (k - 1)
tem2 <- 3 * k * n
vrstat <- (vr - 1)/sqrt(tem1/tem2)
}
<bytecode: 0x0000024df211b770>
<environment: namespace:vrtest>
>
``````

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