Alternate Forms of the One-Way ANOVA F and Kruskal–Wallis Test Statistics

• Published in: Journal of Statistics and Data Science Education Vol. 30; no. 1; pp. 82 - 85
• Main Author: Johnson, Roger W.
• Format: Journal Article
• Language: English
• Published: Alexandria Taylor & Francis 2022; Taylor & Francis Ltd; Taylor & Francis Group
• Subjects: Alternative Assessment; Children & youth; Data science; Equality; Freedom; Hypotheses; Hypothesis Testing; Influence of Technology; Kruskal-Wallis test; Lead content; Mathematics Education; Mathematics Instruction; pairwise differences in averages; Sample Size; Sampling; Science education; Science Instruction; Statistical Analysis; Statistical Data; Statistics; Statistics Education; unbalanced samples; Variance analysis; Worksheets

For ease of instruction in the classroom, the one-way analysis of variance F statistic is rewritten in terms of pairwise differences in individual sample means instead of differences of individual sample means from the overall sample mean. Likewise, the Kruskal-Wallis statistic may be rewritten in t...