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

Autor/in	Johnson, Roger W.
Titel	Alternate Forms of the One-Way ANOVA F and Kruskal-Wallis Test Statistics
Quelle	In: Journal of Statistics and Data Science Education, 30 (2022) 1, S.82-85 (4 Seiten) PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Johnson, Roger W.)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
DOI	10.1080/26939169.2021.2025177
Schlagwörter	Statistics Education; Statistical Analysis; Hypothesis Testing; Sampling; Sample Size; Alternative Assessment + Suchen Sie Ihr Suchwort? Statistische Analyse; Hypothesenprüfung; Hypothesentest
Abstract	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 terms of pairwise differences in individual average ranks rather than differences of individual average ranks from the overall average rank. In unbalanced designs, it is seen that the contribution to either test statistic from a pair of samples is related to the product of the sample sizes multiplied by the square of the relevant pairwise difference. Supplementary materials for this article are available online. (As Provided).
Anmerkungen	Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01