# POOL VAR
poolVar <- function(var, df=n-1, multiplier=1/n, n)
# Pool sample variances for unequal variances
# as for Welch's test
# Gordon Smyth
# 22 Jan 2004.
{
s2 <- as.vector(var)
df <- as.vector(df)
m <- as.vector(multiplier)
if(any(m<0)) stop("Multipliers must be non-negative")
if(all(m==0)) return(list(var=0,df=0,multiplier=0))
sm <- sum(m)
m <- m/sm
out <- list(var = sum(m * s2))
out$df <- out$var^2 / sum(m^2 * s2^2 / df)
out$multiplier <- sm
out
}
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