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Topic: An experiment . . . at random in intra-Permutations
Replies: 5   Last Post: Apr 2, 2013 7:53 PM

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Luis A. Afonso

Posts: 4,758
From: LIsbon (Portugal)
Registered: 2/16/05
Re: An experiment . . . at random in intra-Permutations
Posted: Mar 17, 2013 12:06 PM
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Kruskal-Wallis test with Rank Intra-Permutations

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

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