Discussion of the Correlation Coefficient and R2-Value Survey

Statistics

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Scientific paper

When formally reporting summative statistics, it is crucially important that both the reader and the reporter agree on what such statistics represent about the larger data set that they are meant to characterize. At the summer meeting of the AAPT, I circulated a short survey about correlation coefficients and R2-values. The survey had three types of items: multiple-choice items based on graphs of data sets, three-point Likert-scale items asking responders to comment on the confidence of their answers, and open-end questions. Twenty people anonymously completed and returned the surveys. Not one survey was answered entirely correctly and many were almost entirely incorrect. (Despite the fact that most responders were at least "Confident" if not "Very confident" with their answers.) After a short presentation of my results, I plan to open the floor for questions, comments, and discussion about my results and survey, as well as what these results might imply about an important component of the dialogue in our community.

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