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Multiple-Comparison Testing

In: Experimental Design

Author

Listed:
  • Paul D. Berger

    (Bentley University)

  • Robert E. Maurer

    (Boston University, Questrom School of Business)

  • Giovana B. Celli

    (Cornell University)

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.

Suggested Citation

  • Paul D. Berger & Robert E. Maurer & Giovana B. Celli, 2018. "Multiple-Comparison Testing," Springer Books, in: Experimental Design, edition 2, chapter 0, pages 107-154, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-64583-4_4
    DOI: 10.1007/978-3-319-64583-4_4
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