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Published on: June 20, 2020
Item response theory and structural equation modelling for ordinal data: Describing the relationship between
Andrew C Titman1, Gillian A Lancaster2, Allan F Colver3
1Department of Mathematics and Statistics, Lancaster University, UK a.titman@lancaster.ac.uk.
Item response theory and structural equation models aid health assessment analysis. Structural equation models are more convenient for multidimensional data, like quality-of-life and participation in children with cerebral palsy.
Area of Science:
- Health outcomes research
- Psychometrics
- Biostatistics
Background:
- Health assessment questionnaires often yield ordered categorical data.
- Analyzing such data requires specialized statistical approaches.
- Community health settings present unique challenges for data analysis.
Purpose of the Study:
- To compare item response theory (IRT) and structural equation modeling (SEM) for ordinal health data.
- To investigate the relationship between quality-of-life (KIDSCREEN) and participation (Life-H) in children with cerebral palsy.
- To discuss practical issues in fitting and assessing model fit for ordinal data.
Main Methods:
- Application of both IRT and SEM to ordinal rating scales.
- Analysis of data from the SPARCLE project, focusing on children with cerebral palsy.
- Exploration of model fitting challenges, including correlation matrices and model fit assessment.
Main Results:
- IRT models facilitate assessment of measurement instrument properties like conditional independence.
- SEM provides a more convenient framework for analyzing multidimensional latent traits, as seen in the SPARCLE data.
- The study highlights the utility of both methods while favoring SEM for complex, multidimensional health data.
Conclusions:
- Both IRT and SEM are valuable tools for analyzing ordinal health data.
- SEM offers advantages for complex, multidimensional constructs common in pediatric health research.
- Careful consideration of practical modeling issues is crucial for robust analysis of health assessment data.
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