Nothing
#(size n.three way cross.model 1 axb)
# Section 3.4.1.1 test Interaction AxB
# Three way cross classification - Model I
# Factor A, B, C are fixed. Determining sub-class number n
# Levels of factors A, B and C are given.
# Hypothesis: Interaction AxB is not present.
size_n.three_way_cross.model_1_axb <- function(alpha, beta, delta, a, b, c, cases)
{
n <- 2
dfn <- (a-1)*(b-1)
dfd <- a*b*c*(n-1)
if (cases == "maximin")
{
lambda <- 0.5*c*n*delta*delta
}
else if (cases == "minimin")
{
lambda <- 0.25*a*b*c*n*delta*delta
}
beta.calculated <- Beta(alpha, dfn, dfd, lambda)
if (is.nan(beta.calculated) || beta.calculated < beta )
{
warning(paste("Given parameter will result in too high power.",
"To continue either increase the precision or ",
"decrease the level of factors."))
return(NA)
}
else
{
n <- 5
n.new <- 1000
while (abs(n -n.new)>1e-6)
{
n <- n.new
dfn <- (a-1)*(b-1)
dfd <- a*b*c*(n-1)
lambda <- ncp(dfn,dfd,alpha,beta)
if (cases == "maximin")
{
n.new <- 2*lambda/(c*delta*delta)
}
else if (cases == "minimin")
{
n.new <- 4*lambda/(a*b*c*delta*delta)
}
}
return(ceiling(n.new))
}
}
# example
# size.3_4_1_1.interaction.ab(0.05, 0.1, 0.5, 6,5,4, "maximin")
# size.3_4_1_1.interaction.ab(0.05, 0.1, 0.5, 6,5,4, "minimin")
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