Mh. Birnbaum et al., TESTING INTERVAL INDEPENDENCE VERSUS CONFIGURAL WEIGHTING USING JUDGMENTS OF STRENGTH OF PREFERENCE, Journal of experimental psychology. Human perception and performance, 23(4), 1997, pp. 939-947
Judges made choices and rated strengths of preference between gambles
composed of 50-50 chances to receive either of 2 monetary outcomes (x,
y). Others judged how much they would pay to play their chosen gamble
rather than the other gamble. Judged strengths of preference violated
interval independence, because they depended on the value of a common
outcome. For example, judges offered to pay an average of $44 to play
($74, $100) instead of ($8, $100) but offered to pay only $24 to play
($6, $74) instead of ($6, $8). Results violated the theory that utili
ty of gambles is a nonconfigural average of the values of the outcomes
and that strengths of preference are monotonically related to utility
differences. Results can be explained by a configural weight model in
which the lowest outcome receives greater weight.