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Practical Person-Fit Assessment with the Linear FA Model: New Developments and a Comparative Study.

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This study introduces a practical method for assessing person fit in factor analysis (FA). The mean-squared lico index and personal correlation effectively detect individual response inconsistencies in psychometric studies.

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Area of Science:

  • Psychometrics
  • Statistical Modeling

Background:

  • Linear factor analysis (FA) is prevalent in psychometric applications with continuous or graded-response items.
  • Assessing individual-level consistency (person fit) in FA is rarely performed.

Purpose of the Study:

  • To propose a simple and routine approach for assessing person fit in FA-based studies.
  • To evaluate the effectiveness of proposed person fit indices.

Main Methods:

  • Considered five person fit indices, including a new proposal and a modified existing index.
  • Assessed index effectiveness through a comprehensive simulation study under realistic conditions.
  • Validated findings with an illustrative example using real-world data.

Main Results:

  • The mean-squared lico index and personal correlation demonstrated strong performance when used together.
  • These indices effectively identify various types of response inconsistencies at the individual level.

Conclusions:

  • The proposed approach offers a workable solution for routine person fit assessment in FA.
  • Further research directions for enhancing person fit analysis in psychometrics are discussed.