Description Usage Arguments Details Value Examples
This is an internal CPP function, used by the R function
tau.star.test
.
1 | .calc.taustar(perm)
|
perm |
An integer vector containing exactly 0,1,...,n-1 in any order. The validity of the input is not checked by this function. |
Given (X1,Y1),...,(Xn,Yn), the Tau*_n statistic only depends on the permutation P that satisfies rank Yi = P[rank Xi]. This function computes Tau*_n given P in O(n log n) time.
The Tau* statistic of perm
.
The normalization is such that -1/3 <= Tau* <= 2/3.
The return value -1.0 indicates an error.
1 2 3 4 5 6 7 8 9 | .calc.taustar(0:3)
## [1] 0.6666667
.calc.taustar(c(0,2,1,3))
## [1] -0.3333333
set.seed(397)
.calc.taustar(order(runif(1000))-1)
## [1] 0.004392385
|
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