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Increasing the Power of the Anova F Test for Outlier-Prone Distributions by Modified Ranking Methods

Bibliographic Data

ID10123722
AuthorsDonald W Zimmerman (Carleton University, corresponding author)
Year1995
Volume122
Issue1
Pages83-94
Publication date1995-01-01
Open AccessNo
TypeARTICLE
VenueThe Journal of General Psychology (JOURNAL)
Journal identifiersISSN: 0022-1309 • E-ISSN: 1940-0888
PublisherTaylor & Francis (PUBLISHER • GB)
DOI10.1080/00221309.1995.9921224
OpenAlexW2026853880
LanguageEN
Citations received1
References cited9

A simulation study performed analysis of variance (ANOVA) F tests on samples from two outlier-resistant densities, four outlier-prone densities, and four truncated forms of the same outlier-prone densities. The tests were repeated on the ranks of the sample values and on scores resulting from four transformations, in which ranks were replaced by a smaller set of integers or by numbers that included a random component. Modified or “distorted” ranks were indistinguishable from ordinary ranks with respect to the probabilities of Type I and Type II errors. Outcomes of F tests on samples from truncated outlier-prone densities were essentially the same as those of rank tests on samples from the original outlier-prone densities

Analysis of variance · Combinatorics · Outlier · Rank (graph theory · Ranking (information retrieval · Statistics · Type I and type II errors · Variance (accounting · Variance components · Advanced Statistical Methods and Models · Advanced Statistical Process Monitoring · Artificial Intelligence · Computer Science · Mathematics · Statistical Distribution Estimation and Applications

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Citations per year0.14
Citation span2019 - 2019 (1)
Highly citedNo

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