标题： 关于可靠性的一般理论框架 显示英文标题

标题： On a General Theoretical Framework of Reliability

摘要： 可靠性是在假设存在潜在变量测量模型的情况下，衡量观测分数反映潜在分数（反映构念）的程度的一个基本指标。我们提出了一种关于可靠性的通用理论框架，重点在于衡量潜在分数和观测分数之间的关联。这一框架受到麦当劳（2011年）回归框架的启发，该框架强调决定系数作为可靠性度量的重要性。我们将麦当劳（2011年）的框架扩展到超出决定系数，并引入了可靠性度量的四个理想特性（可估计性、归一化、对称性和不变性）。我们还提供了理论示例来说明不同的可靠性度量，并报告了一个数值研究以展示不同可靠性度量的行为。最后，我们讨论了可靠性系数的使用，并概述了未来的研究方向。 显示英文摘要

摘要： Reliability is an essential measure of how closely observed scores represent latent scores (reflecting constructs), assuming some latent variable measurement model. We present a general theoretical framework of reliability, placing emphasis on measuring the association between latent and observed scores. This framework was inspired by McDonald's (2011) regression framework, which highlighted the coefficient of determination as a measure of reliability. We extend McDonald's (2011) framework beyond coefficients of determination and introduce four desiderata for reliability measures (estimability, normalization, symmetry, and invariance). We also present theoretical examples to illustrate distinct measures of reliability and report on a numerical study that demonstrates the behavior of different reliability measures. We conclude with a discussion on the use of reliability coefficients and outline future avenues of research.