Luis A. Afonso
Posts:
4,743
From:
LIsbon (Portugal)
Registered:
2/16/05


Re: An experiment . . . at random in intraPermutations
Posted:
Mar 17, 2013 12:06 PM


KruskalWallis test with Rank IntraPermutations
The common test statistics is
___T = 12/N*(N+1)* [Ri^2/ni]  3*(N+1)
where N=total values of the Table, Ri = sum of runks sample i <= i <= k, [ ] summation (Gauss notation), ni= size sample i.
___________
I dare what happens if we change, with E(mmRi)= mean(Ri),
___T(mm) = 12/N*(N+1)* [ni*(mmRi)^2]  3*(N+1) (mm = modifyied mean)
Can we achieve a set of T(mm), calculate the respective 0.025, 0.975 quantiles and consequently to find out a confidence interval without to base the decision on the T Distribution which assumes normal data?
Luis A. Afonso

