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Tables and Procedures for the Determination of Power and Sample Sizes in Univariate and Multivariate Analyses of Variance and Regression
Author(s) -
Hager W.,
Möller H.
Publication year - 1986
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710280602
Subject(s) - univariate , bonferroni correction , multivariate statistics , statistics , mathematics , sample size determination , multivariate analysis of variance , variance (accounting) , range (aeronautics) , multivariate analysis , regression analysis , regression , one way analysis of variance , analysis of variance , linear regression , type i and type ii errors , multiple comparisons problem , statistical power , sample (material) , accounting , chemistry , chromatography , business , materials science , composite material
The available power tables for use in experimental design only serve for limited practical purposes, since they are restricted to very few levels of significance such as .01, .05, and .10. With these values, however, usually no correction for cumulating error probabilities, for example, by the Dunn‐Bonferroni method, can be achieved, because (very) low values of a and sometimes even of α are necessary. Therefore, power tables are presented that encompass a wide range of different values for a (.0005 to .40), for power (.50 to .9995), and for 45 different values of the degrees of freedom for the numerator of the F ratio ( u = 1 to 150). Four of the 16 tables are printed. Their use is demonstrated for some paradigmatic problems in univariate and multivariate analyses of variance and regression.