A note on the operating characteristics of the modified F test.

Abstract:

:Brownie, Boos, and Hughes-Oliver (1990, Biometrics 46, 259-266) suggested a modification to the fixed-effects analysis of variance (ANOVA) F test for use in situations where treatments are likely to affect mean response while simultaneously increasing between-subject variability. These authors suggest that the modified test (1) is robust against departures from population normality, (2) is more powerful than its classical counterpart when the expected alternative form is encountered, and (3) will suffer only minor power losses relative to the usual test when alternatives are in the form of simple shifts in location. This study shows that the modified test is not generally robust when sampling is from nonnormal distributions and is likely to produce unacceptably high Type I error inflations when sampling is from heavy-tailed or skewed distributions. Some power results are also provided for the multisample situation to supplement those of Brownie et al., who generated results only for the two-sample case.

journal_name

Biometrics

journal_title

Biometrics

authors

Blair RC,Sawilowsky S

subject

Has Abstract

pub_date

1993-09-01 00:00:00

pages

935-9

issue

3

eissn

0006-341X

issn

1541-0420

journal_volume

49

pub_type

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