ISSN 0439-755X
CN 11-1911/B
主办:中国心理学会
   中国科学院心理研究所
出版:科学出版社

心理学报 ›› 1990, Vol. 22 ›› Issue (01): 18-24.

• • 上一篇    下一篇

信号检测论方法引入集值统计试验

孟庆茂;李永建   

  1. 北京师范大学 ,四川师范大学
  • 出版日期:1990-03-25 发布日期:1990-03-25
  • 通讯作者: 孟庆茂

AN EXPERIMENT TO INTRODUCE SET-VALUED STATISTICS INTO THE EVALUATION METHOD OF THE SIGNAL DETECTABILITY THEORY

Meng Qingmao;Li Yongjian Beijing Normal University Sichuan Normal University   

  • Online:1990-03-25 Published:1990-03-25

摘要: 集值统计是模糊数学方法的应用,信号检测论之评价法与有无法实验满足集值统计条件,可用集值统计的程度函数表示辨别力或感受性的大小。本文提出两种计算程度函数的数学模型:(1)a=1/K[∑a_(k1·CP_(k1)(Y/SN)+∑a_(k2)·CP_(k2)(Y/N)],(2)f(u)=1/2[∑a_(k1)·P_(k1)(Y/SN)+∑a_(k2)·P_(k2)(Y/N)]。试验结果证实两种模型所计算的程度函数与信号检测论方法所计算的辨别力指数d’有高相关(r_(ad’)=0.842,r_f(u)d’=0.953、n=67),程度函数与d’一样,不仅可以作为辨别力的指标,而且可将判断标准与辨别力分开,不同的是程度函数用β=a_N/a_(SN)或β=f_N(u)/f_(SN)(U)计算的判断标准是一次性综合判断。此点不同于信号检测论可对每一个类别反应的判断标准进行计算。程度函数与d’的计算都利用了对信号与噪音的反应信息。除上述二者的共同之处外,程度函数比d’还具有以下一些优越性:(1)程度函数应用集值统计,无须信号检测论要求对信号与噪音的感觉分布为正态的基本假设,可认为是非参数的方法;(2)可克服信号检测论方法不同判断标准下d’不稳定又难以解释的困难;(3)可适当地减少试验次数;(4)程度函数取值在0-1之间,易于形成量表值方便比较,意义清晰、明确;(5)更符合心理判断的实际状态。

关键词: NULL

Abstract: In order to find out a and f(u) (average degree of believing), the method of Set-Valued Statistics in Fuzzy Sets can be directly introduced into the evalution method of the signal detectability theory to deal with the data collected from the experiment. This experiment proves that: a and f(u) is an index of recognition ability as good as d' and its meaning is even clearer; the calculation principles of a and f(u) do not require the normal distribution of original data, and repetitions of the experiment can be greatly reduced; the per- person-time judgement in the evaluation method is an experiment of Set- Valued Statistics.

Key words: NULL