Titman Andrew C, Lancaster Gillian A, Colver Allan F
Department of Mathematics and Statistics, Lancaster University, UK
Department of Mathematics and Statistics, Lancaster University, UK.
Stat Methods Med Res. 2016 Oct;25(5):1892-1924. doi: 10.1177/0962280213504177. Epub 2013 Oct 9.
Both item response theory and structural equation models are useful in the analysis of ordered categorical responses from health assessment questionnaires. We highlight the advantages and disadvantages of the item response theory and structural equation modelling approaches to modelling ordinal data, from within a community health setting. Using data from the SPARCLE project focussing on children with cerebral palsy, this paper investigates the relationship between two ordinal rating scales, the KIDSCREEN, which measures quality-of-life, and Life-H, which measures participation. Practical issues relating to fitting models, such as non-positive definite observed or fitted correlation matrices, and approaches to assessing model fit are discussed. item response theory models allow properties such as the conditional independence of particular domains of a measurement instrument to be assessed. When, as with the SPARCLE data, the latent traits are multidimensional, structural equation models generally provide a much more convenient modelling framework.
项目反应理论和结构方程模型在分析健康评估问卷中的有序分类反应时都很有用。我们从社区健康环境的角度，突出了项目反应理论和结构方程建模方法在对有序数据建模方面的优缺点。利用聚焦于脑瘫儿童的SPARCLE项目的数据，本文研究了两个有序评定量表之间的关系，即测量生活质量的儿童生活质量量表（KIDSCREEN）和测量参与度的生活-健康量表（Life-H）。讨论了与模型拟合相关的实际问题，如非正定的观测或拟合相关矩阵，以及评估模型拟合的方法。项目反应理论模型允许评估诸如测量工具特定领域的条件独立性等属性。当像SPARCLE数据那样潜在特质是多维的时候，结构方程模型通常提供一个更方便的建模框架。
