What is it about?
I use a generalization of Pythagoras's theorem to explain the consequences of weighting in combining part scores or item scores. I use a geometric explanation.
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Why is it important?
I use a geometric explanation which, I believe, is more easily understood than the usual algebraic approach.
Perspectives
The theorem I use is not well known and should be more widely known.
Dr James E Carlson
Educational Testing Service
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This page is a summary of: What Differential Weighting of Subsets of Items Does and Does Not Accomplish: Geometric Explanation, ETS Research Report Series, September 2014, Wiley,
DOI: 10.1002/ets2.12020.
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