Industry 4.0 Maturity Model: Item Response Theory (IRT) Parameters and Continuous Proficiency Scaling (CPS) Analytical Outputs

This dataset comprises the detailed quantitative parameters and analytical outputs generated during the development of the Industry 4.0 Maturity Model using Item Response Theory (IRT) and the Continuous Proficiency Scaling (CPS) framework. These data are central to the findings presented in the study titled "Continuous Proficiency Scaling in IRT: A Scaling Framework Using Jenks Natural Breaks – An Industry 4.0 Maturity Case Study."

The dataset includes:

IRT Item Parameters: Estimated discrimination ('ai') and difficulty ('bi,k') parameters for all 74 items and their respective categories, derived from the graded response model.
Endorsement Probabilities: Probabilities of item endorsement at various proficiency levels, calculated based on the IRT parameters.
Exact Proficiency Thresholds
Item Clustering Results: The assignment of anchor and regular item categories into the six identified proficiency levels through Jenks Natural Breaks clustering, including details on level adjustments and expert validation.
Item Categories Distribution: The final, refined mapping of all item categories across the established maturity levels, reflecting the continuous proficiency scale.
This comprehensive dataset allows researchers to explore the empirical basis of the CPS methodology, validate the derived item characteristics, and understand the intricate quantitative relationships that define the Industry 4.0 maturity progression. It is particularly valuable for those working on advanced psychometrics, organizational assessment, and digital transformation measurement in manufacturing contexts.