VISION
Online ISSN : 2433-5630
Print ISSN : 0917-1142
ISSN-L : 0917-1142
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Volume 18, Issue 3
Displaying 1-5 of 5 articles from this issue
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  • Statistical Significance Testing of Thresholds Estimated by Constant Stimuli Method
    Takehiro Nagai, Takahiro Hoshino, Keiji Uchikawa
    2006 Volume 18 Issue 3 Pages 113-123
    Published: 2006
    Released on J-STAGE: April 19, 2019
    DOIhttps://doi.org/10.24636/vision.18.3_113
    JOURNAL FREE ACCESS
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    Statistically significant difference between multiple thresholds estimated from constant stimuli method on psychophysical experiments could not be tested by t-test and analysis of variance, because the thresholds are not defined as averages of samples but are estimated from a psychometric function fitted to the subject’s response by maximum likelihood estimation and statistic needed for those statistical tests such as degree of freedom cannot be derived. We proposed a new statistical method to test the statistically significant difference between thresholds estimated from method of constant stimuli using the asymptotical normality of maximum likelihood estimator and the characteristic of multivariate normal distribution. This method can be used like analysis of variance for thresholds defined as the average of samples.

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