The Hierarchy Misfit Index: Evaluating Person Fit for Cognitive Diagnostic Assessment

  • Author / Creator
    Guo, Qi
  • As cognitive diagnostic models (CDMs) become increasingly popular in modern educational measurement, it is important to develop a person fit index that examines the appropriateness of a CDM for each individual examinee. The purpose of this study is to propose a new person fit index, the hierarchy misfit index (HMI), for CDMs, and test the power and type 1 error of the HMI at detecting misfitting item response vectors using a simulation study. The results of the simulation study showed that the HMI had high powers and acceptable type 1 errors when a test consisted of highly discriminating items. But when a test consisted of low discriminating items, the HMI’s type 1 errors were too high to be acceptable. A comparison was also made with a previously developed person fit index, the hierarchical consistency index, (HCI). The results showed that the HMI performed better in high item discrimination conditions.

  • Subjects / Keywords
  • Graduation date
  • Type of Item
  • Degree
    Master of Education
  • DOI
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
  • Institution
    University of Alberta
  • Degree level
  • Department
    • Department of Educational Psychology
  • Specialization
    • Measurement, Evaluation and Cognition
  • Supervisor / co-supervisor and their department(s)
    • Leighton, Jacqueline (Educational Psychology)
  • Examining committee members and their departments
    • Cui, Ying (Educational Psychology)
    • McGarvey, Lynn (Elementary Education)