A mean for all seasons.
The averaging of scores differs from the averaging of numbers in that behavioral issues are built into scores. The behavioral issues are the weight attached to a score and the metric on which the scores have been gathered. A single equation is proposed, derived from Aczél's (1966) model of the quasilinear mean, that encompasses the standard measures of central tendency. The equation allows for differential weighting of scores and also addresses the metric issue by incorporating response transformation.
Weiss
David J
DJ
Department of Psychology, California State University, Los Angeles, 5151 State University Drive, Los Angeles, CA 90032, USA. dweiss@calstatela.edu
Edwards
Ward
W
D001835:Body Weight; D006801:Humans; D008960:Models, Psychological; D012649:Self Concept