How many IRT parameters does it take to model psychopathology items?

Psychol Methods. 2003 Jun;8(2):164-84. doi: 10.1037/1082-989x.8.2.164.

Abstract

The authors compared the fit of the 2- and 3-parameter logistic models (2PLM; 3PLM) on 15 unidimensional factor scales derived from the Minnesota Multiphasic Personality Inventory--Adolescent item pool. Log-likelihood chi-square deviance tests indicated that a 3PLM provided an improved fit. However, residual statistics indicated that the difference in fit between the 2 models was negligible. An unexpected finding was that from 10% to 30% of the items had substantial lower asymptote parameters (c > or = .10) when the scales were scored in the pathology or nonpathology directions. The authors argue that the large lower asymptote parameters are attributable to item-content ambiguity possibly caused by item-level multidimensionality. These findings suggest that the direction of scoring can critically affect an item response theory analysis.

MeSH terms

  • Adolescent
  • Chi-Square Distribution
  • Data Interpretation, Statistical*
  • Female
  • Humans
  • Logistic Models
  • MMPI
  • Male
  • Models, Statistical*
  • Personality Assessment*
  • Psychometrics*
  • Psychopathology / statistics & numerical data*
  • Self Concept