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Maximal Criterion Validity and Scale Criterion Validity: A Latent Variable Modeling Approach for Examining Their Difference

机译:最大标准有效性和规模标准有效性:用于检验其差异的潜在变量建模方法

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摘要

This article studies the difference between the criterion validity coefficient of the widely used overall scale score for a unidimensional multicomponent measuring instrument and the maximal criterion validity coefficient that is achievable with a linear combination of its components. A necessary and sufficient condition of their identity is presented in the case of measurement errors being uncorrelated among themselves and with a used criterion. An upper bound of the difference in these validity coefficients is provided, indicating that it cannot exceed the discrepancy between the maximal reliability and composite reliability indexes. A readily applicable latent variable modeling procedure is discussed that can be used for point and interval estimation of the difference between the maximal and scale criterion validity coefficients. The outlined method is illustrated with a numerical example.
机译:本文研究了一维多分量测量仪器广泛使用的总体标度得分的标准有效性系数与通过其组件的线性组合可获得的最大标准有效性系数之间的差异。在测量误差之间彼此不相关且与使用的标准不相关的情况下,提出了其身份的必要和充分条件。提供了这些有效性系数差异的上限,表明差异不能超过最大可靠性和综合可靠性指标之间的差异。讨论了易于应用的潜在变量建模过程,该过程可用于最大和比例标准有效性系数之间差异的点和间隔估计。用数值示例说明了概述的方法。

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