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Multidimensional Rasch Analysis of a Psychological Test With Multiple Subtests A Statistical Solution for the Bandwidth-Fidelity Dilemma

机译：带有多个子测验的心理测验的多维Rasch分析-带宽保真困境的统计解决方案

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摘要

Educational and psychological tests are often composed of multiple short subtests, each measuring a distinct latent trait. Unfortunately, short subtests suffer from low measurement precision, which makes the bandwidth-fidelity dilemma inevitable. In this study, the authors demonstrate how a multidimensional Rasch analysis can be employed to take into account the information about the correlation between latent traits such that the precision of each subtest measure can be improved and the correlation between latent traits can be accurately estimated. A real data set of the 13-scale Thinking Styles Inventory was analyzed with the traditional unidimensional approach and the multidimensional approach. The results demonstrate that in contrast to the unidimensional approach, the multidimensional approach yields a much higher level of measurement precision and a more appropriate estimate for the correlation between thinking styles. In conclusion, even short subtests can yield highly precise measures such that the bandwidth-fidelity dilemma is resolved.
机译：教育和心理测验通常由多个短期子测验组成，每个子测验都具有不同的潜在特征。不幸的是，短子测试的测量精度较低，这不可避免地导致了带宽保真度的困境。在这项研究中，作者演示了如何使用多维Rasch分析来考虑有关潜在性状之间相关性的信息，从而可以提高每个子测度的精度，并可以准确地估计潜在性状之间的相关性。使用传统的一维方法和多维方法分析了13个尺度的思维风格清单的真实数据集。结果表明，与一维方法相比，多维方法产生了更高的测量精度水平，并且对于思维方式之间的相关性具有更合适的估计。总之，即使是简短的子测试也可以产生高度精确的度量，从而解决带宽保真困境。

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