Extensions of the significance test for one-parameter signal detection hypotheses

Extensions of the significance test for one-parameter signal detection hypotheses
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单参数信号检测假设显着性检验的扩展

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发表时间:
1970
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通讯作者:
L. A. Marascuilo
L. A. Marascuilo
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文献类型:
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作者:
L. A. Marascuilo

文献摘要

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信号检测理论的基本模型涉及参数测量d ′,通常被解释为可检测性指数。对于两个观察者,人们可能希望知道他们的可探测性指数是相等还是不相等。Gourevitch和Galanter(1967)提出了一种大样本统计检验方法,可以用来检验等价值假设。本文将他们的大两样本检验推广到k-样本检测检验。如果零假设d1 ′ = d2 ′ =...= dK ′被拒绝,人们可以使用本文描述的事后置信区间过程来定位方差和差异的可能的统计显著性来源。此外,还展示了如何使用Gourevitch和Galanter统计量来测试单个个体的d ′ = 0。
The basic models of signal detection theory involve the parametric measure,d′, generally interpreted as a detectability index. Given two observers, one might wish to know whether their detectability indices are equal or unequal. Gourevitch and Galanter (1967) proposed a large sample statistical test that could be used to test the hypothesis of equald′ values. In this paper, their large two sample test is extended to aK-sample detection test. If the null hypothesisd1′=d2′=...=dK′ is rejected, one can employ the post hoc confidence interval procedure described in this paper to locate possible statistically significant sources of variance and differences. In addition, it is shown how one can use the Gourevitch and Galanter statistics to testd′=0 for a single individual.