Traditional indices of effect size are designed to answer questions about average group differences, associations between variables, and relative risk. For many researchers, an additional, important question is, “How many people in my study behaved or responded in a manner consistent with theoretical expectation?” We show how the answer to this question can be computed and reported as a straightforward percentage for a wide variety of study designs. This percentage essentially treats persons as an effect size, and it can easily be understood by scientists, professionals, and laypersons alike. For instance, imagine that in addition to d or η2, a researcher reports that 80% of participants matched theoretical expectation. No statistical training is required to understand the basic meaning of this percentage. By analyzing recently published studies, we show how computing this percentage can reveal novel patterns within data that provide insights for extending and developing the theory under investigation.
Four data sets from studies included in the Reproducibility Project were re-analyzed to demonstrate a number of flawed research practices (i.e., “bad habits”) of modern psychology. Three of the four studies were successfully replicated, but re-analysis showed that in one study most of the participants responded in a manner inconsistent with the researchers’ theoretical model. In the second study, the replicated effect was shown to be an experimental confound, and in the third study the replicated statistical effect was shown to be entirely trivial. The fourth study was an unsuccessful replication, yet re-analysis of the data showed that questioning the common assumptions of modern psychological measurement can lead to novel techniques of data analysis and potentially interesting findings missed by traditional methods of analysis. Considered together, these new analyses show that while it is true replication is a key feature of science, causal inference, modeling, and measurement are equally important and perhaps more fundamental to obtaining truly scientific knowledge of the natural world. It would therefore be prudent for psychologists to confront the limitations and flaws in their current analytical methods and research practices.
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