If you supose that each mean is independent then

s.err_total_chem <- sqrt(sum(s.err_event^2))

If not you must estimate de var-covariance matrix to find this s.err.
This estimation will be difficult given the scarce data available.

Hope it will helps.

Kenneth

Jose A. Hernandez wrote:

Folks,

This is so simple is driving me crazy. It's not really an R question is more an Statistics question.

I applied a chemical in 3 different events during a growing season. I took 3 samples in each event to estimate mean applied chemical.

Thus, I can easily estimate means and st.err by event. I can then estimate the total chemical applied for the whole season by adding the 3 means for each event. How can I estimate the standard error of this total applied chemical.

Thanks in advance,

Jose


event <- c(1,1,1,2,2,2,3,3,3) chem <- c(131.75,125.92,130.09,42.67,48.26,54.56,85.05,91.17,90.86) d.1 <- data.frame(event,chem) attach(d.1) s.err <- function(x) sd(x)/(sqrt(length(x)))

print(mean_event <- tapply(d.1$chem,factor(data.1$event),mean))
print(s.err_event <- tapply(d.1$chem,factor(data.1$event),s.err))

print(total_chem <- sum(mean_event))
s.err_total_chem <-




-- Kenneth Roy Cabrera Torres Celular +57 (315) 504 9339

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