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Analysis of Variance	4
Statistical Distributions	4
Hypothesis Testing	2
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Data Analysis	1
Effect Size	1
Error of Measurement	1
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Educational and Psychological…

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Fidler, Fiona	1
Messick, David M.	1
Shine, Lester C., II	1
Thompson, Bruce	1
Wilcox, Rand R.	1

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A Bootstrap Modification of the Alexander-Govern ANOVA Method, Plus Comments on Comparing Trimmed Means.

Peer reviewed

Wilcox, Rand R. – Educational and Psychological Measurement, 1997

Some results on how the Alexander-Govern heteroscedastic analysis of variance (ANOVA) procedure (R. Alexander and D. Govern, 1994) performs under nonnormality are presented. This method can provide poor control of Type I errors in some cases, and in some situations power decreases as differences among the means get large. (SLD)

Descriptors: Analysis of Variance, Error of Measurement, Power (Statistics), Statistical Distributions

Computing Correct Confidence Intervals for ANOVA Fixed- and Random-Effects Effect Sizes.

Peer reviewed

Fidler, Fiona; Thompson, Bruce – Educational and Psychological Measurement, 2001

Illustrates the computation of confidence intervals for effect sizes for some analysis of variance applications and shows how the use of intervals involving noncentral distributions is made practical by new software. (SLD)

Descriptors: Analysis of Variance, Computation, Computer Software, Effect Size

Some Cheap Tricks for Making Inferences About Distribution Shapes from Variances.

Peer reviewed

Messick, David M. – Educational and Psychological Measurement, 1982

Formulae and graphs are presented allowing computation of the variances of three prototypical distributions over a finite number of categories. The uses of the variances of the maximum variance distribution, the uniform distribution and a unimodal triangular distribution to make inferences about distribution shapes are shown in several examples.…

Descriptors: Analysis of Variance, Hypothesis Testing, Responses, Statistical Analysis

Interpreting Significant Left-Tailed Analysis of Variance F-Ratios.

Peer reviewed

Shine, Lester C., II – Educational and Psychological Measurement, 1982

The interpretation of significant left-tailed analysis of variance (ANOVA) F-ratios is supported by considering the case of a fixed effects ANOVA model. The conclusions of this case are generalizable to other standard ANOVA models. (Author/PN)

Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models