Strasburger H
Ludwig-Maximilians-Universität, München, Germany.
Percept Psychophys. 2001 Nov;63(8):1348-55. doi: 10.3758/bf03194547.
The psychometric function's slope provides information about the reliability of psychophysical threshold estimates. Furthermore, knowing the slope allows one to compare, across studies, thresholds that were obtained at different performance criterion levels. Unfortunately, the empirical validation of psychometric function slope estimates is hindered by the bewildering variety of slope measures that are in use. The present article provides conversion formulas for the most popular cases, including the logistic, Weibull, Quick, cumulative normal, and hyperbolic tangent functions as analytic representations, in both linear and log coordinates and to different log bases, the practical decilog unit, the empirically based interquartile range measure of slope, and slope in a d' representation of performance.
心理测量函数的斜率提供了有关心理物理阈值估计可靠性的信息。此外，了解斜率可以使人们在不同研究之间比较在不同性能标准水平下获得的阈值。不幸的是，心理测量函数斜率估计的实证验证受到当前使用的各种令人困惑的斜率测量方法的阻碍。本文提供了最常见情况下的转换公式，包括逻辑斯蒂、威布尔、奎克、累积正态和双曲正切函数作为解析表示，涵盖线性和对数坐标以及不同的对数底数、实际的十分贝单位、基于经验的四分位间距斜率测量方法，以及性能的d'表示中的斜率。
