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Comparative analysis of data reduction techniques for questionnaire validation using self-reported driver behaviors.
Cintia Isabel de Campos1, Cira Souza Pitombo1, Patricia Delhomme2
1Department of Transportation Engineering, São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil.
Categorical Principal Component Analysis (CATPCA) is more effective for validating Likert Scale data like the Driver Behavior Questionnaire (DBQ) than traditional Factor Analysis (FA) or Principal Component Analysis (PCA). CATPCA better explains variance and represents original data for applications like crash prediction.
Area of Science:
- Psychometrics
- Data Analysis
- Transportation Psychology
Background:
- Factor Analysis (FA) and Principal Component Analysis (PCA) are commonly applied to ordinal data, despite being designed for metric measures.
- Questionnaire validation, particularly with Likert Scale data, requires appropriate statistical techniques.
Purpose of the Study:
- To compare the effectiveness of FA, PCA, and Categorical Principal Component Analysis (CATPCA) for validating the Driver Behavior Questionnaire (DBQ) using Likert Scale data.
- To assess which technique best explains variance and represents the original data structure.
Main Methods:
- An e-survey collected self-reported behaviors from 1,354 Brazilian and 348 Portuguese drivers using 20 DBQ items on a five-point Likert Scale.
- Exploratory data reduction techniques including FA, PCA, and CATPCA were applied to the collected data.
Main Results:
- All techniques confirmed the established three-factor structure of the DBQ (errors, ordinary violations, aggressive violations).
- CATPCA explained more variance (11% more than FA, 2% more than PCA) and showed significant differences in individual factor scores.
- While one item shifted dimensions in CATPCA, structural interpretability was maintained.
Conclusions:
- CATPCA is more advantageous for analyzing Likert Scale data due to its ability to better represent original data and account for data constraints.
- The findings suggest CATPCA is a more suitable method for DBQ validation, with potential applications in crash prediction models using derived factor scores.
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