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Not Significant: What Now?

Author

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  • Gerhard Marinell
  • Gabriele Steckel-Berger
  • Hanno Ulmer

Abstract

In a classic significance test, based on a random sample with size , a value will be calculated at size aiming to reject the null hypothesis. The sample size , however, can retrospectively be divided into partial samples and a test of significance can be calculated for each partial sample. As a result, several partial samples will provide significant values whereas others will not show significant values. In this paper, we propose a significance test that takes into account the additional information from the values of the partial samples of a random sample. We show that the values can greatly modify the results of a classic significance test.

Suggested Citation

  • Gerhard Marinell & Gabriele Steckel-Berger & Hanno Ulmer, 2012. "Not Significant: What Now?," Journal of Probability and Statistics, Hindawi, vol. 2012, pages 1-6, November.
    • Handle: RePEc:hin:jnljps:804691
    DOI: 10.1155/2012/804691
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    Cited by:

    1. Eleni Verykouki & Christos T. Nakas, 2023. "Adaptations on the Use of p -Values for Statistical Inference: An Interpretation of Messages from Recent Public Discussions," Stats, MDPI, vol. 6(2), pages 1-13, April.

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