Bruno Lecoutre, Jacques Poitevineau
There are good reasons to think that the role of usual null hypothesis significance testing in psychological research will be considerably reduced in the near future. Traditional statistical analysis results should be enhanced ( « beyond simple p value statements » ) to systematically include effect sizes and their interval estimates. Quite soon, these procedures could become new publication norms. In this paper main abuses of significance tests and alternative available solutions are first reviewed. Among these solutions, both confidence interval (frequentist) methods and credibility interval (fiducial Bayesian) methods have been developed for assessing effect sizes, and especially for asserting the negligibility or the notability of effects. From a numerical example, these methods are illustrated for analysing contrasts between means in a complex experimental design. Both raw and relative (calibrated) effects are considered. The similarities and differences between the frequentist and Bayesian approaches, their correct interpretations, and their practical uses, are discussed.
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