Calculate within and between variances and confidence intervals in R

Question

I need to calculate the within and between run variances from some data as part of developing a new analytical chemistry method. I also need confidence intervals from this data

Answer 1

I'm going to take a crack at this when I have more time, but meanwhile, here's the dput() for Kiar's data structure:

structure(list(Run = c(1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4), Rep = c(1, 
2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3), Value = c(9.85, 9.95, 10, 9.9, 
8.8, 9.5, 11.2, 11.1, 9.8, 9.7, 10.1, 10)), .Names = c("Run", 
"Rep", "Value"), row.names = c(NA, -12L), class = "data.frame")

... in case you'd like to take a quick shot at it.