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Here’s Your Sign and the Neighborhood Bowling League

In: Nonparametric Statistics for Applied Research

Author

Listed:
  • Jared A. Linebach

    (Clearwater Christian College)

  • Brian P. Tesch

    (Suffolk University)

  • Lea M. Kovacsiss

Abstract

The chapter opens with Dakota in an almost comatose state. The team, without Michael, must pull together to address research questions and tests of difference that deal with ranked data. Four tests are considered: Sign Test, Wilcoxon Signed Ranks Test, Kolmogorov-Smirnov Two-Sample Test, and the Mann-Whitney U. Each test deals with ranked data and a review of z-scores and normal distributions is considered. Cumulative Relative Frequency Distributions are addressed as they relate to the Kolmogorov-Smirnov Two-Sample Test, and a comparison is made between the nonparametric Mann-Whitney U and the parametric Independent t-test. The four research questions addressed in this chapter are as follows: (1) Is there a difference between two groups concerning two conditions? (2) When the size of the difference is important, is there a difference between a pair of data? (3) Have two independent groups been taken from the same population when the responses are cumulative? (4) Have two independent groups been taken from the same population when the responses are not cumulative? The chapter concludes with Dakota calling Michael in an effort to straighten things out between them.

Suggested Citation

  • Jared A. Linebach & Brian P. Tesch & Lea M. Kovacsiss, 2014. "Here’s Your Sign and the Neighborhood Bowling League," Springer Books, in: Nonparametric Statistics for Applied Research, edition 127, chapter 0, pages 227-262, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-9041-8_10
    DOI: 10.1007/978-1-4614-9041-8_10
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