Abstract
This chapter introduces the concept of aggregation weights, which can be applied to the averaging functions introduced in the previous Chaps. 1 and 2. Weighted aggregation functions can account for certain variables being more reliable or more important than others in generating the overall evaluation or output. They are especially useful in analysis, where the entries of the associated weighting vector can be used to make inferences about the importance of each variable. Weighted power means and weighted medians are introduced, along with an overview of their properties. The Borda count rule for tallying votes is also discussed. The chapter includes worked examples, questions, and instruction on how to implement the approaches in the R programming language.
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James, S. (2016). Weighted Averaging. In: An Introduction to Data Analysis using Aggregation Functions in R. Springer, Cham. https://doi.org/10.1007/978-3-319-46762-7_3
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DOI: https://doi.org/10.1007/978-3-319-46762-7_3
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