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On the statistical and theoretical basis of signal detection theory and extensions: Unequal variance, random coefficient, and mixture models

机译:基于信号检测理论和扩展的统计和理论基础:不等方差,随机系数和混合模型

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摘要

Basic results for conditional means and variances, as well as distributional results, are used to clarify the similarities and differences between various extensions of signal detection theory (SDT). It is shown that a previously presented motivation for the unequal variance SDT model (varying strength) actually leads to a related, yet distinct, model. The distinction has implications for other extensions of SDT, such as models with criteria that vary over trials. It is shown that a mixture extension of SDT is also consistent with unequal variances, but provides a different interpretation of the results; mixture SDT also offers a way to unify results found across several types of studies.
机译:条件均值和方差的基​​本结果以及分布结果用于阐明信号检测理论(SDT)的各种扩展之间的异同。结果表明,先前提出的不等方差SDT模型(强度变化)的动机实际上导致了一个相关但又截然不同的模型。这种区别对SDT的其他扩展有影响,例如标准随试验而变化的模型。结果表明,SDT的混合扩展也与不相等的方差一致,但是对结果提供了不同的解释。混合SDT还提供了一种统一几种研究类型中发现的结果的方法。

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