Three Mahalanobis distances and their role in assessing unidimensionality.
Three Mahalanobis distances and their role in assessing unidimensionality.
复制标题
三个马哈拉诺比斯距离及其在评估一维性中的作用。
DOI：
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发表时间：
2004
影响因子：
2.6
通讯作者：
S. Reise
中科院分区：
文献类型：
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作者：
K. Yuan;W. Fung;S. Reise
单维性是构建良好的测量量表的标志性心理测量特征。然而，在确定一组项目形成单维量表的程度时，异常的项目反应模式可能会扭曲我们的调查。例如，异常的反应模式可能会对项目间协方差产生不利影响，这反过来又会扭曲对量表维度和可靠性的估计。在这项研究中，我们调查并比较了三种马氏距离（m -距离）测量在识别和降低异常项目反应模式方面的效用。我们的研究结果表明，基于残差的m距离度量具有最好的性能。具体来说，具有更大残差的m -距离的响应模式是观察到的单维性违规的原因。当这些响应模式根据m -距离适当降权后，数据更符合单因素模型，量表信度提高。使用三个实际数据集说明了该过程。
Unidimensionality is the hallmark psychometric feature of a well-constructed measurement scale. However, in determining the degree to which a set of items form a unidimensional scale, aberrant item response patterns may distort our investigations. For example, aberrant response patterns may adversely impact interitem covariances which, in turn, can distort estimates of a scale's dimensionality and reliability. In this study, we investigate and compare the utility of three Mahalanobis distance (M-distance) measures in identifying and downweighting aberrant item response patterns. Our findings indicated that a residual-based M-distance measure had the best properties. Specifically, response patterns having greater residual-based M-distances were responsible for observed violations of unidimensionality. When these response patterns were properly downweighted according to this M-distance, the data fitted a one-factor model better and scale reliability increased. The procedures are illustrated using three real data sets.