ERIC Number: EJ723412
Record Type: Journal
Publication Date: 2006
Reference Count: 45
A Comparison of the Bootstrap-F, Improved General Approximation, and Brown-Forsythe Multivariate Approaches in a Mixed Repeated Measures Design
Seco, Guillermo Vallejo; Izquierdo, Marcelino Cuesta; Garcia, M. Paula Fernandez; Diez, F. Javier Herrero
Educational and Psychological Measurement, v66 n1 p35-62 2006
The authors compare the operating characteristics of the bootstrap-F approach, a direct extension of the work of Berkovits, Hancock, and Nevitt, with Huynh's improved general approximation (IGA) and the Brown-Forsythe (BF) multivariate approach in a mixed repeated measures design when normality and multisample sphericity assumptions do not hold. The results of the simulation show that the three approaches adequately control Type I error when data are generated from normal or slightly nonnormal distributions. However, when data are generated from distributions with moderate or severe skewness, the approaches tend to produce conservative Type I error rates, except the IGA test of the main effect, which has liberal Type I error rates in some conditions. With regard to power, it was found that the bootstrap-F approach can compete with the IGA approach but not with the BF approach: The power differences favoring the bootstrap-F approach are generally small, whereas those favoring the BF approach are substantial.
Descriptors: Sample Size, Comparative Analysis, Simulation, Multivariate Analysis, Error of Measurement, Evaluation Methods, Measurement Techniques, Data Analysis, Behavioral Science Research
SAGE Publications, 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243 (Toll Free); Fax: 800-583-2665 (Toll Free).
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Authoring Institution: N/A