000			01826nab a22003137a 4500
001			G69024
003			MX-TxCIM
005			20230516192400.0
008			121211b |||p||p||||||| |z||| |
022			_a1467-9868
022			_a1369-7412 (Online)
024			_2https://doi.org/10.1111/j.2517-6161.1963.tb00503.x
040			_aMX-TxCIM
041			_aeng
090			_aREP-1208
100	1		_aGhosh, M.N. _930837
245	1	0	_aPower of Tukey's test for non-additivity
260			_c1963. _aUnited Kingdom : _bWiley,
340			_aPrinted
520			_aThe 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.
546			_aText in English
595			_aRPC
650		7	_2AGROVOC _912181 _aAdditive models
650		7	_2AGROVOC _99447 _aStatistics
651		7	_2AGROVOC _93716 _aTürkiye
700	1		_aSharma, D. _927106
773	0		_tJournal of the Royal Statistical Society Series B _gv. 25, no. 1, p. 213-219 _dUnited Kingdom : Wiley, 1963. _x1467-9868
942			_cJA _2ddc
999			_c19673 _d19673