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Type I error control and the power to detect factorial effects
Author(s) -
Keselman H. J.,
Keselman Joanne C.
Publication year - 1987
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1987.tb00881.x
Subject(s) - type i and type ii errors , factorial , factorial experiment , statistical power , statistics , sample size determination , interaction , mathematics , statistical significance , power (physics) , econometrics , psychology , factorial analysis , main effect , social psychology , mathematical analysis , physics , quantum mechanics
The probability of detecting factorial effects (main, interaction, simple) with experimentwise and per hypothesis Type I error protection are compared. The effects of level of significance, sample size and size of the true factorial effect are discussed. For researchers working in the personality, social or clinical area, where effects are presumed to be small, the power to detect treatment effects is very low. On the other hand, investigations of large factorial effects in such areas as experimental and physiological psychology are likely to have reasonable power even if a 0·01 per hypothesis criterion of significance is adopted.