Allocating Sample Sizes to Reduce Budget for Fixed-Effect 2×2 Heterogeneous Analysis of Variance

Wei Ming Luh, Jiin Huarng Guo

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This article discusses the sample size requirements for the interaction, row, and column effects, respectively, by forming a linear contrast for a 2×2 factorial design for fixed-effects heterogeneous analysis of variance. The proposed method uses the Welch t test and its corresponding degrees of freedom to calculate the final sample size in a 2-step procedure. The simulation results show that the proposed sample size allocation ratio can minimize the sampling cost, while at the same time the designated power is achieved. The article concludes with a discussion to reiterate the importance of sample size planning, especially for testing the iteration effect.

Original languageEnglish
Pages (from-to)197-211
Number of pages15
JournalJournal of Experimental Education
Volume84
Issue number1
DOIs
Publication statusPublished - 2016 Jan 2

All Science Journal Classification (ASJC) codes

  • Education
  • Developmental and Educational Psychology

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