What are we estimating when we fit Stevens’ power law? - ScienceDirect

Fig. 1. Function 𝑓 estimated through local polynomial regression for Experiments 1 and 2 in Luce and Mo (1965); the dots are the points in the original paper, the vertical line is the standard. Fig. 2. Function 𝑓 ′ estimated through local polynomial regression for Experiments 1 and 2 in Luce and Mo (1965); the vertical line is the standard. Fig. 3. Function 𝑓 ″ estimated through local polynomial regression for Experiments 1 and 2 in Luce and Mo (1965); the vertical line is the standard. Proposition 2 Remark 1 Fig. 4. Individual responses (smaller points; each symbol corresponds to a different individual), averages of the responses across individuals (larger black points), standard 𝛿 2 (vertical black line) and function 𝑓 estimated through local polynomial regression (black solid curve) for Experiment 1 in Green and Luce (1974). Fig. 5. Function 𝑓 ′ estimated through local polynomial regression (black solid curve) and value of the Stevens’ exponent in an interval of le

Fig. 1. Function 𝑓 estimated through local polynomial regression for Experiments 1 and 2 in Luce and Mo (1965); the dots are the points in the original paper, the vertical line is the standard. Fig. 2. Function 𝑓 ′ estimated through local polynomial regression for Experiments 1 and 2 in Luce and Mo (1965); the vertical line is the standard. Fig. 3. Function 𝑓 ″ estimated through local polynomial regression for Experiments 1 and 2 in Luce and Mo (1965); the vertical line is the standard. Proposition 2 Remark 1 Fig. 4. Individual responses (smaller points; each symbol corresponds to a differe