The problem of meaningfulness: Weber's law, Guilford's power law, and the near-miss-to-Weber's law
The problem of meaningfulness: Weber's law, Guilford's power law, and the near-miss-to-Weber's law
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DOI：
10.1016/j.mathsocsci.2008.08.003
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发表时间：
2009-01-01
影响因子：
0.6
通讯作者：
Augustin, Thomas
中科院分区：
文献类型：
--
作者：
Augustin, Thomas
本文提供了常见歧视模型的重新表述，例如，韦伯定律、吉尔福德幂定律和韦伯差一点定律。所有模型都基于这样的假设，即模型参数可能取决于测量物理强度的潜在物理刺激尺度。通过讨论模型参数的意义，我们得出结论：准未命中-韦伯定律可以应用于在比率、区间或对数区间尺度上测量的物理量，而韦伯定律和吉尔福德幂定律的应用必然限于物理比尺度。最后，我们讨论了一个基于经验的近失中韦伯定律的子模型，称为固定点模型的意义。结果表明，从理论上讲，不动点模型优于吉尔福德幂定律和近失中韦伯定律。(C)2008爱思唯尔B.V.保留所有权利。
The present paper provides reformulations of common models of discrimination, like for instance, Weber's law, Guilford's power law, and the near-miss-to-Weber's law. All models are based on the assumption that the model parameters might depend on the underlying physical stimulus scale by which the physical intensities are measured. By discussing the meaningfulness of the model parameters, we come to the conclusion that the near-miss-to-Weber's law can be applied to physical quantities which are measured on a ratio-, interval-, or log-interval scale, whereas applications of Weber's law and Guilford's power law are necessarily restricted to physical ratio scales. Finally, we discuss the meaningfulness of an empirically based submodel of the near-miss-to-Weber's law, referred to as fixed-point model. The results show that, from a theoretical point of view, the fixed-point model is superior to Guilford's power law and the near-miss-to-Weber's law. (C) 2008 Elsevier B.V. All rights reserved.