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Modeling Likert scale outcomes with trend-proportional odds with and without cluster data
Ana W Capuano1, Jeffrey D Dawson2, Marizen R Ramirez3
1Department of Neurological Sciences, Rush University Medical Center, Chicago, IL, USA.
This study applies proportional odds and trend odds models to Likert scale data in epidemiological surveys. Findings show gender differences in perceived dishonesty and higher violence odds for children with disabilities.
Area of Science:
- Epidemiology
- Biostatistics
- Survey Methodology
Background:
- Likert scales are frequently utilized in epidemiological surveys.
- Analyzing clustered Likert scale data requires specialized statistical approaches.
- Existing methods may not fully capture the nuances of ordinal survey responses.
Purpose of the Study:
- To demonstrate the simultaneous application of proportional odds and trend odds models for Likert scale data.
- To incorporate random cluster effects into the analysis of Likert scale outcomes.
- To provide practical examples using real-world epidemiological and educational datasets.
Main Methods:
- Application of the proportional odds model and the trend odds model.
- Simultaneous modeling of Likert scale outcomes with random cluster effects.
- Utilized two distinct datasets: an aging/cognition study and a large student survey.
Main Results:
- In an aging study, Black men reported higher odds of perceived dishonesty than Black women.
- In a student survey, children with disabilities had higher odds of severe violence.
- Cumulative odds ratios increased by over 60% at higher Likert scale levels in both examples.
Conclusions:
- The proportional odds and trend odds models effectively analyze clustered Likert scale data in epidemiology.
- These models reveal significant associations between demographics/conditions and survey outcomes.
- The methodology offers a robust framework for analyzing ordinal data in public health research.
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