NDLI: Exact nonparametrics in APL

Content Provider	ACM Digital Library
Author	Streitberg, Bernd Röhmel, Joachim
Abstract	The authors present a new algorithm for the exact distribution of many nonparametric tests. The algorithm is based on a recursion formula that relates the distribution of where K1,.,Kn are iid Bernoulli [1/2] and a1,.,an are fixed p-vectors, to the distribution of Tn-1. The core idea is to realize this recursion by shifts of the p - dimensional distribution of Tn-1 in the computer main storage, which can be implemented efficiently in APL. We believe, that the method has achieved a breakthrough in the practical application of Fisher-Pitman permutation tests, but it can also be used routinely in the computation of many other tests by applying an initial transformation to the original data. A noteworthy example is the Wilcoxon test with arbitrary ties in the data, whose exact distribution can easily be computed for Nample;100. In order to allow the direct use of these results, a complete list of the necessary APL programmes is included in the text.
Starting Page	313
Ending Page	325
Page Count	13
File Format	PDF
ISBN	0897911377
DOI	10.1145/800058.801115
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1984-06-11
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Exact nonparametrics in APL