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Some Further Issues in One-Factor Designs and ANOVA

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

We need to consider several important collateral issues that complement our discussion in Chap. 2 . We first examine the standard assumptions typically made about the probability distribution of the ε’s in our statistical model. Next, we discuss a nonparametric test that is appropriate if the assumption of normality, one of the standard assumptions, is seriously violated. We then review hypothesis testing, a technique that was briefly discussed in the previous chapter and is an essential part of the ANOVA and that we heavily rely on throughout the text. This leads us to a discussion of the notion of statistical power and its determination in an ANOVA. Finally, we find a confidence interval for the true mean of a column and for the difference between two true column means.

Suggested Citation

  • Paul D. Berger & Robert E. Maurer & Giovana B. Celli, 2018. "Some Further Issues in One-Factor Designs and ANOVA," Springer Books, in: Experimental Design, edition 2, chapter 0, pages 69-105, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-64583-4_3
    DOI: 10.1007/978-3-319-64583-4_3
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