Massimiliano Pastore

The weakness of NHST approach and the Bayesian alternative

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Keywords: Null hypothesis significance testing, Bayes' theorem, Bayes Factor, t-test, Posterior probability

The field of experimental psychology uses NHST as the main vehicle for statistical inference. This approach reduces to considering only p-value in the evaluation of statistical significance. Since p-value depends on sample size, data that were never observed, and subjective intentions it does not quantify statistical evidence (Wagenmakers, 2007). In this paper, correct p-value interpretation and p-value problems are presented. The Bayesian approach is here proposed to solve p-value problems in t-test context. In particular, the usage of Bayesian analysis allows to support null hypothesis evidence.

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