# Dear R-experts,

# (Once again) I want to avoid the usage of for-loops but unfortunately I don't know how. # I know functions like e.g. 'apply' but don't know how to use them for the solution of the following problem: # I have a data frame 'a' giving the number of columns in data frame 'b' that belong to one group
a <- data.frame(group1=5, group2=4)

b <- data.frame(col1=c(0,0,0), col2=c(0,1,0.5), col3=c(0,0,0), col4=c(1/3,0,0.5), col5=c(2/3,0,0), col6=c(0,0,0), col7=c(1,1/3,0), col8=c(0,2/3,0), col9=c(0,0,0))

# ... thus columns 1-5 in 'b' belong to group 1 and columns 6-9 in 'b' belong to group 2

# then I created a data frame giving all possible row combinations of 'b'
r <- as.data.frame(t(combn(nrow(b), 2)))

# .. so e.g. the second row of 'r' tells me that I have to perform an equation with the values of the # first and third row of table 'b'. The equation has to be calculated for each group seperately. # e.g. within group 2 (columns 6-9 in 'b') I have to calculate e.g. for rows 1 and 3 in 'b' # (abs(b[row1,col6] - b[row3, col6]) + abs(b[row1, col7] - b[row3, col7]) + .... + abs(b[row1, col9] - b[row3, col9]))/2

# the resulting data frame shall look as follows:
result <- cbind(r, data.frame(group1=c(1,2/3,0.5), group2=c(2/3,0.5,0.5)))

# The original tables are much larger and I don't know how to solve this problem w/o a lot of very slow for-loops.
# Is there any possible solution w/o using 'for'-loops?

# I'd be happy for any suggestions
# Thank you very much in anticipation
# Best regards
# Thomas

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