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Stephen L France1, William H Batchelder2

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Summary
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Cultural consensus theory (CCT) models analyze continuous data for social and behavioral sciences. New extensions address item difficulty, offering alternative reliability measures for cultural consensus.

Keywords:
cultural consensus theory (CCT)essay gradingmaximum likelihood

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Area of Science:

  • Social and Behavioral Sciences
  • Psychometrics
  • Cultural Studies

Background:

  • Cultural consensus theory (CCT) is a valuable data aggregation technique.
  • Existing CCT models are primarily designed for discrete data types.
  • There is a need for CCT models applicable to continuous data.

Purpose of the Study:

  • To present Cultural Consensus Theory (CCT) models for continuous data.
  • To introduce extensions accounting for item rating difficulty.
  • To explore CCT's application in reliability measurement.

Main Methods:

  • Maximum likelihood inference methodology for CCT models.
  • Development of multiplicative and additive extensions for item difficulty.
  • Exploration of model fit, identifiability, and estimation procedures.

Main Results:

  • Demonstrated the utility of basic and extended CCT models on essay rating data.
  • Established a relationship between the multiplicative CCT model and the Rasch model.
  • Presented CCT models as alternative consensus-based reliability measures.

Conclusions:

  • CCT models are adaptable for continuous data in social and behavioral research.
  • Extensions enhance CCT's ability to model item difficulty.
  • CCT offers a novel approach to assessing consensus and reliability.