When to use Bootstrap-F in One-Way Repeated Measures ANOVA: Type I Error and Power.

IF 3.5 2区心理学 Q1 PSYCHOLOGY, MULTIDISCIPLINARY

Psicothema Pub Date : 2025-06-01 DOI:10.70478/psicothema.2025.37.20

María J Blanca, Roser Bono, Jaume Arnau, F Javier García-Castro, Rafael Alarcón, Guillermo Vallejo

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引用次数: 0

Abstract

Background: With repeated measures, the traditional ANOVA F-statistic requires fulfillment of normality and sphericity. Bootstrap-F (B-F) has been proposed as a procedure for dealing with violation of these assumptions when conducting a one-way repeated measures ANOVA. However, evidence regarding its robustness and power is limited. Our aim is to extend knowledge about the behavior of B-F with a wider range of conditions.

Method: A simulation study was performed, manipulating the number of repeated measures, sample sizes, epsilon values, and distribution shape.

Results: B-F may become conservative with higher values of epsilon, and liberal under extreme violation of both normality and sphericity and small sample sizes. In these cases, B-F may be used with a more stringent alpha level (.025). The results also show that power is affected by sphericity: the lower the epsilon value, the larger the sample size required to ensure adequate power.

Conclusions: B-F is robust under non-normality and non-sphericity with sample sizes larger than 20-25.

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在单向重复测量方差分析中何时使用Bootstrap-F: I型误差和功率。

背景：通过重复测量，传统的方差分析f统计需要满足正态性和球形性。Bootstrap-F （B-F）已被提出作为在进行单向重复测量方差分析时处理违反这些假设的程序。然而，关于其稳健性和威力的证据是有限的。我们的目标是在更广泛的条件下扩展关于B-F行为的知识。方法：进行模拟研究，操纵重复测量的次数、样本量、epsilon值和分布形状。结果：当epsilon值较高时，B-F可能变得保守，而在极端违反正态性和球性以及小样本量时，B-F可能变得自由。在这些情况下，B-F可以与更严格的α水平（0.025）一起使用。结果还表明，功率受到球形度的影响：epsilon值越低，保证足够功率所需的样本量越大。结论：当样本量大于20-25时，B-F在非正态性和非球性条件下具有鲁棒性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Psicothema PSYCHOLOGY, MULTIDISCIPLINARY-

CiteScore

6.50

自引率

16.70%

发文量

审稿时长

24 weeks

期刊介绍： La revista Psicothema fue fundada en Asturias en 1989 y está editada conjuntamente por la Facultad y el Departamento de Psicología de la Universidad de Oviedo y el Colegio Oficial de Psicólogos del Principado de Asturias. Publica cuatro números al año. Se admiten trabajos tanto de investigación básica como aplicada, pertenecientes a cualquier ámbito de la Psicología, que previamente a su publicación son evaluados anónimamente por revisores externos. Psicothema está incluida en las bases de datos nacionales e internacionales más relevantes, entre las que cabe destacar Psychological Abstracts, Current Contents y MEDLINE/Index Medicus, entre otras. Además, figura en las listas de Factor de Impacto del Journal Citation Reports. Psicothema es una revista abierta a cualquier enfoque u orientación psicológica que venga avalada por la fuerza de los datos y los argumentos, y en la que encuentran acomodo todos los autores que sean capaces de convencer a los revisores de que sus manuscritos tienen la calidad para ser publicados. Psicothema es una revista de acceso abierto lo que significa que todo el contenido está a disposición de cualquier usuario o institución sin cargo alguno. Los usuarios pueden leer, descargar, copiar, distribuir, imprimir, buscar, o realizar enlaces a los textos completos de esta revista sin pedir permiso previo al editor o al autor, siempre y cuando la fuente original sea referenciada. Para acervos y repositorios, se prefiere que la cobertura se realice mediante enlaces a la propia web de Psicothema. Nos parece que una apuesta decidida por la calidad es el mejor modo de servir a nuestros lectores, cuyas sugerencias siempre serán bienvenidas.