Multiple-Comparison Testing

Paul D. Berger, Robert E. Maurer and Giovana B. Celli
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Paul D. Berger: Bentley University
Robert E. Maurer: Boston University, Questrom School of Business
Giovana B. Celli: Cornell University

Chapter Chapter 4 in Experimental Design, 2018, pp 107-154 from Springer

Abstract: Abstract So far, we have seen a couple of statistical tests which can indicate if a factor has an impact on the response or not, and which would make us reject or accept H 0(μ 1 = μ 2 = μ 3 = … = μ C ); however, they do not show how the means differ, if, indeed, they do differ. In this chapter, we will discuss the logic and Type I errors in multiple-comparison testing. We then present several procedures which can be used for multiple comparison of means, such as Fisher’s Least Significant Difference (LSD) test, Tukey’s HSD test, the Newman-Keuls test, and Dunnett’s test. Finally, we discuss the Scheffé test as a post hoc study for multiple comparisons.

Date: 2018
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DOI: 10.1007/978-3-319-64583-4_4

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