Hidden multiplicity in exploratory multiway ANOVA: Prevalence and remedies

@inproceedings{Cramer2016HiddenMI,
  title={Hidden multiplicity in exploratory multiway ANOVA: Prevalence and remedies},
  author={Ang{\'e}lique O. J. Cramer and Don van Ravenzwaaij and Dora Matzke and Helen Steingroever and Ruud Wetzels and Raoul P. P. P. Grasman and Lourens J. Waldorp and Eric-Jan Wagenmakers},
  booktitle={Psychonomic bulletin & review},
  year={2016}
}
Many psychologists do not realize that exploratory use of the popular multiway analysis of variance harbors a multiple-comparison problem. In the case of two factors, three separate null hypotheses are subject to test (i.e., two main effects and one interaction). Consequently, the probability of at least one Type I error (if all null hypotheses are true) is 14 % rather than 5 %, if the three tests are independent. We explain the multiple-comparison problem and demonstrate that researchers… CONTINUE READING
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