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POWER ASPECTS OF ANALYSIS OF VARIANCE IN FIXED EFFECT MODEL ONE‐WAY CLASSIFICATION
Author(s) -
Kanji G. K.
Publication year - 1979
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.1979.tb01117.x
Subject(s) - normality , variance (accounting) , statistics , power (physics) , replication (statistics) , value (mathematics) , mathematics , econometrics , computer science , sensitivity (control systems) , engineering , economics , electronic engineering , physics , accounting , quantum mechanics
Summary The sensitivity of the power in analysis of variance to the departure from the in‐built assumptions other than the normality of errors is discussed in Kanji (1975). To obtain the power values he considered the general linear hypothesis model. Kanji (1976a) discussed a particular case of the above situation, that is fixed effect model two‐way classification. In this paper another particular case, that of the fixed effect model one‐way classification is discussed, the main purpose of which is to investigate whether it could show a different picture to the two‐way classification, especially for unequal replication. The results so obtained are presented in Tables 1A, 1B and 1C. They indicate that the power value is greatly affected by the inequality of error variances and unequal group sizes.