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Comparison of SANOVA Procedure of Simultaneous Testing Hypotheses to Others
Author(s) -
Graboś Z.,
Drwièa T.
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.4710280117
Subject(s) - scheffé's method , mathematics , statistics , confidence interval , multiple comparisons problem , variance (accounting) , statistical hypothesis testing , analysis of variance , tukey's range test , econometrics , accounting , business
In this paper a procedure SANOVA of simultaneous testing hypotheses is compared with others used in analysis of variance in a fixed linear model. The geometrical relation between SANOVA and Scheffé's confidence regions is discussed. It is shown that individual confidence intervals from SANOVA procedure are not longer than Scheffe's, Dunnett's and Tukey's ones. The cases, when they are the same are indicated. Theoretical considerations are illustrated by a practical example.