https://scholars.lib.ntu.edu.tw/handle/123456789/39643
標題: | A generalization of Pie´ ron’s law to include background intensity and latency distribution | 作者: | Hsu, Yung-Fong | 關鍵字: | Reaction time;Pie´ ron’s law;Functional equations;Near-miss to Weber’s law;Fechner–Thurstone-type representation | 公開日期: | 2005 | 出版社: | Taipei:National Taiwan University Dept Phys | 起(迄)頁: | - | 來源出版物: | Journal of Mathematical Psychology | 摘要: | Pie’ ron’s law, which formulates the effect of the signal intensity i on the mean or the median reaction time (MRT) as a power function, MRT ? R t i-b C; in which R, b & C are positive parameters, is of much interest in the simple reaction time literature. In particular, consistent estimates of b are obtained. However, this law offers no information regarding the effect of the signal intensity on other aspects of the reaction time distribution. In addition, the background intensity, which also has some impact on the detectability of the signal, is not considered in Pie’ ron’s law. In this paper, we generalize Pie’ ron’s law based on the above comments. That is, we assume that both b & C are functions of the background intensity & of the percentile rank. We then investigate from a theoretical viewpoint some possible functional forms of b & C, with a special emphasis on the dependency of b on the background intensity. It is shown that the so-called ‘‘Fechner–Thurstone-type representation’’ forces b & C to be ‘‘separable.’’ If we further assume a near-miss to Weber’s law-type representation, then the functional form of b can be determined. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/2006111501275434 | 其他識別: | 246246/2006111501275434 |
顯示於: | 心理學系 |
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