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COMPARATIVE ANALYSIS OF MULTIPLE COMPARISON PROCEDURES ON MEDIAN HOUSEHOLD INCOME ACROSS US CENSUS BUREAU’S NINE DIVISIONS
Keywords:
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 SchefféDOI:
https://doi.org/10.17654/0972086324017Abstract
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.
Received: April 17, 2024
Accepted: June 11, 2024
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