Wrapper around contr.sum, but ensures that the reference level
is the first level alphabetically, not the last. Returns a contrast matrix
where comparisons give differences between comparison levels and the grand
mean.
Usage
sum_code(n)
Value
A contrast matrix with dimensions n rows and (n-1) columns.
Arguments
n
Integer umber of factor levels to compute contrasts for.
Details
For n levels of factors, generate a matrix with n-1 comparisons where:
Reference level = -1
Comparison level = 1
All others = 0
Example interpretation for a 4 level factor:
Intercept = Grand mean (mean of the means of each level)
grp2 = grp2 - mean(grp4, grp3, grp2, grp1)
grp3 = grp3 - mean(grp4, grp3, grp2, grp1)
grp4 = grp4 - mean(grp4, grp3, grp2, grp1)
Note that when n = 2, the coefficient estimate is half of the difference
between the two levels. But, this coincidence does not hold when the number
of levels is greater than 2.