Error Probabilities in Educational and Psychological Research
- 1 June 1986
- journal article
- Published by American Educational Research Association (AERA) in Journal of Educational Statistics
- Vol. 11 (2), 117-146
- https://doi.org/10.3102/10769986011002117
Abstract
The well-known problem of cumulating error probabilities is reconsidered from a general epistemological perspective, namely, the concepts of severity (Popper) and of fairness of tests. Applying these concepts to hypothesis-testing research leads to a reevaluation of the relative importance of the probabilities of Type 1 and Type 2 errors connected with those statistical hypotheses that have been derived from the substantive ones. It is shown that not only Type 1 but also Type 2 errors can cumulate. This cumulation is discussed for various basic types of empirical situations in which substantive hypotheses are examined by means of statistical ones. A new adjustment strategy based on the Dunn-Bonferroni inequality for planned tests is proposed and applied to some empirical examples.Keywords
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