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ERIC Number: EJ726376
Record Type: Journal
Publication Date: 2005-Sep-22
Pages: 26
Abstractor: Author
Reference Count: 60
ISSN: ISSN-0022-0973
Heteroscedastic Tests Statistics for One-Way Analysis of Variance: The Trimmed Means and Hall's Transformation Conjunction
Luh, Wei-Ming; Guo, Jiin-Huarng
Journal of Experimental Education, v74 n1 p75 Fall 2005
To deal with nonnormal and heterogeneous data for the one-way fixed effect analysis of variance model, the authors adopted a trimmed means method in conjunction with Hall's invertible transformation into a heteroscedastic test statistic (Alexander-Govern test or Welch test). The results of simulation experiments showed that the proposed technique can control Type I error rates on the nominal level in various conditions. Moreover, there was a small gain with respect to the empirical power compared with competing techniques, especially for extremely skewed distributions. The authors recommend the proposed technique especially for calculating accurate confidence interval estimates. [Derivation of the Monotone and Invertible Function is appended.]
Heldref Publications, Helen Dwight Reid Educational Foundation, 1319 Eighteenth Street, NW, Washington, DC 20036-1802. Web site:
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A