Premium
A DISTRIBUTION‐FREE TEST FOR TWO‐WAY LAYOUT 1
Author(s) -
Tan K. C.,
Gore A. P.
Publication year - 1976
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1976.tb01289.x
Subject(s) - test (biology) , nonparametric statistics , mathematics , statistical hypothesis testing , statistics , distribution (mathematics) , computer science , mathematical analysis , paleontology , biology
ABSTRCTS Many nonparametric tests have been proposed for the hypothesis of no row (treatment) effect in a one‐way layout design. Examples of such tests are Kruskal‐Wallis H ‐test, Bhapkar's (1961) V ‐test and Deshpande's (1965) L ‐test. However not many tests are available for testing the same hypothesis in a two‐way layout design without interaction. Perhaps the only “established” test is the one due to Friedman (1937). However, it applies to the case of one observation per cell only. In this paper, a new distribution‐free test is proposed for the hypothesis of row effect in a two‐way layout design. It applies to the case of several observations per cell, not necessarily equal. The asymptotic efficiency of the proposed test relative to other tests is studied.