Study on Psychometric Function in Forced-Choice Experiments

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Study on Psychometric Function in Forced-Choice Experiments

更新时间：2025-07-09

- Study on Psychometric Function in Forced-Choice Experiments
- Vol. 44, Issue 6, Pages: 104-108(2010)
- 作者机构：
  
  西安交通大学图像处理与模式识别研究所,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391.41
- Online First：10 June 2010，
  
  Published：2010
- 稿件说明：
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Study on Psychometric Function in Forced-Choice Experiments[J]. 2010, 44(6): 104-108.
DOI：

Study on Psychometric Function in Forced-Choice Experiments[J]. 2010, 44(6): 104-108. DOI：

摘要

为了评价观察者在视觉检测实验中的感知能力

提出一种含约束条件的最大似然拟合方法.该方法通过强迫选择实验获得不同视觉刺激强度下的主观识别率

通过离差分析筛选出有效的实验数据

然后采用最大似然准则拟合出识别率与刺激强度的函数关系.实验建立了2选项和4选项强迫选择实验的心理测量函数

其中刺激信号的面积覆盖100～400 mm

.实验结果表明:拟合的均方误差在0.05附近

决定系数近似为0.9; 两位观察者的心理测量函数的最大误差是0.046 6; 相比非线性最小二乘拟合

最大似然拟合具有更高的拟合准确率.

Abstract

A maximum likelihood estimation method is presented to evaluate the observers' performance in visual detection tasks. The percent of correct detection is obtained as a function of visual stimulus through forced-choice experiments. Effective experimental data is selected via deviance analysis. The maximum likelihood estimation with some constraints is employed to fit the psychometric function. The psychometric functions with two and four choices experiments are established respectively

and the stimulus area covers the range from 100 to 400 square millimeters. The mean square error of the fitting is about 0.05 and the R-square is around 0.9. The maximum error of the psychometric functions between two observers is 0.046 6. The results show that maximum likelihood estimation achieves a higher accuracy than the least squares nonlinear regression does.

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references

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