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The One-Sample Case

In: A Guide to Robust Statistical Methods

Author

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  • Rand R. Wilcox

    (University of Southern California, Department of Psychology)

Abstract

As explained in Chap. 1 , outliers are a serious concern when using the sample mean. This chapter describes two basic strategies for dealing with outliers and indicates how to compute an estimate of the standard error that is technically sound. This is followed by a description of inferential methods based on these measure of location, including a discussion of their relative merits. Some methods aimed at measuring effect size are described, some of which provide a foundation for understanding certain measures of effect size covered in Chap. 3 . Included are some recent results related to the probability of success when dealing with binary data that will help complement some of the methods described in subsequent chapters. This chapter also discusses methods aimed at estimating quantiles. As will be illustrated in Chap. 3 , situations are encountered where important differences between two groups occur in the tails of the distributions rather than the center of the distributions. The quantile estimators described here will play a role in addressing this issue. Some issues related to skewed distributions are discussed as well.

Suggested Citation

  • Rand R. Wilcox, 2023. "The One-Sample Case," Springer Books, in: A Guide to Robust Statistical Methods, chapter 0, pages 25-53, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-41713-9_2
    DOI: 10.1007/978-3-031-41713-9_2
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