Rank tests and random blocking of classified data

J. Engel

Statistica Neerlandica, 1988, vol. 42, issue 1, 17-27

Abstract: From the literature on nonparametric rank tests, limiting distributions of Wilcoxon's test tor symmetry and ot Friedman's test for treatment effect are known for observations that are classified in blocks. It is assumed that there is no interaction between blocks and treatments. In the case of fixed blocks this assumption is quite reasonable, in the case of random blocks it is not, as the presence of a random interaction does not make testing for treatment effect superfluous. For classified, categorical data in random blocks the limiting distribution will be derived in this paper of Wilcoxon's rank test in a model which includes a random interaction between blocks and treatments. An illustration is given by some data from a judgement comparison experiment for the image quality of Video Long Play discs.

Date: 1988
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