Statistical significance testing with mahalanobis distance for thresholds estimated from constant stimuli method

Takehiro Nagai, Takahiro Hoshino, Keiji Uchikawa

研究成果: Article査読

4 被引用数 (Scopus)

抄録

The t-test and the analysis of variance are commonly used as statistical significance testing methods. However, they cannot assess the significance of differences between thresholds within individual observers estimated from the constant stimuli method; these thresholds are not defined as averages of samples, but they are rather defined as functions of parameters of psychometric functions fitted to participants' responses. Moreover, the statistics necessary for these statistical testing methods cannot be derived. In this paper, we propose a new statistical testing method to assess the statistical significance of differences between thresholds estimated from the constant stimuli method. The new method can assess not only threshold differences but also main effects and interactions in multifactor experiments, exploiting the asymptotic normality of maximum likelihood estimators and the characteristics of multivariate normal distributions. This proposed method could be used in similar cases to the analysis of variance for thresholds estimated from the adjustment method and the staircase method. Finally, we present some data on simulations in which we tested assumptions, power and type I error of the proposed method.

本文言語English
ページ(範囲)91-124
ページ数34
ジャーナルSeeing and Perceiving
24
2
DOI
出版ステータスPublished - 2011
外部発表はい

ASJC Scopus subject areas

  • 実験心理学および認知心理学
  • 眼科学
  • 感覚系
  • コンピュータ ビジョンおよびパターン認識
  • 認知神経科学

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