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Ghosh, M.N.

Power of Tukey's test for non-additivity - United Kingdom : Wiley, 1963. - Printed

The problem of testing for non-additivity in a two-way classification has been considered in this paper where the mean μii can be expressed as μ+αi+βi where αi and βi are the effects of the two ways of classification (i = 1, …,p;j = 1, …,q). Tukey (1949) has suggested a test for non-additivity. The power function of this test has been found in this paper for alternatives of the form μii = μ+αi+βi+cαi βi and numerical calculations made for the case of p = q = 6. For the sake of comparison the special case of α2i–1 = α2i, β2j–1 = β2j has also been considered, when an F-test is available with d.f. (4, 27). It is seen that the power of Tukey's statistic is slightly less than that of the F-test for smaller values of C2 σ2 and urn:x-wiley:00359246:equation:rssb00503-math-0001, but for a wide range of values of these parameters, the performance of Tukey's statistic is better.


Text in English

ISSN: 1467-9868 1369-7412 (Online)

Standard No.: https://doi.org/10.1111/j.2517-6161.1963.tb00503.x

Subjects--Topical Terms:
Additive models
Statistics

Subjects--Geographic Terms:
Türkiye