立方体の大きさ推定実験から2つの精神物理学の式の導出の試み

概要

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Two psychological experiments were done: 1. Magnitude estimation of each volume of a series of cubes (M). 2. Category estimation of each of a series of cubes (C). Derived values M and C correspond together to psychological values S. According to Indow (1971), certain laws must hold between the values: between S and M: M=(S/S_1)^n……(15), between C and M: C=b log M+a……(16), between C and S: C=d log(S/S_1)……(17). (15) is Power Law, while both (16) and (17) are Fechner's Law. To verify the substantialness, three consecutive formulae are regressed from (17) to (15) assigning with the experimental data. Result: By using formula (17), the fitted formula is C=1.728log (S/522.4)……(17)', while the stimulus threshold S_0 is 522.4. Thus, between C and M, logarithmic function holds predictably. From (15) and (15)', Stevens' Power Law holds; M=0.5649 S^<0.9613>……(15)'.
拓殖大学の論文
2004-01-25