Abstract: In the analysis of variance, the main goal is to analyze the differences between the means of more than two treatments. Multiple comparison tests are aimed at scrutinizing the differences between specific pairs of means or linear combinations of means amongst the groups. This paper systematically reviews and analyzes four multiple comparison procedures, namely; Bonferroni correction, Tukey’s Honestly Significant Difference, Scheffé’s test and Fisher’s Least Significant Difference. Each procedure is reviewed individually, highlighting on their respective keynotes and features, capabilities and limitations using the median household income across USA data.
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Keywords and phrases: analysis of variance, multiple comparison tests, type I error rate, family-wise error rate, power of the test, paired comparisons, Bonferroni correction, Tukey’s Honestly Significant Difference, Scheffé’s test, Fisher’s Least Significant Difference, studentized range distribution, F distribution, critical F value for Scheffé
Received: April 17, 2024; Accepted: June 11, 2024; Published: July 27, 2024
How to cite this article: Kuukua Egyinba Abraham and Mezbahur Rahman, Comparative analysis of multiple comparison procedures on median household income across US Census Bureau’s Nine Divisions, Far East Journal of Theoretical Statistics 68(3) (2024), 271-304. https://doi.org/10.17654/0972086324017
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
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