A Note on the Relation Between Factor Analytic and Item Response Theory Models

By Akihito Kamata, Daniel J. Bauer. 2008

253 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/d5797e1375bd4b88571eece17392111b9e9ae2be

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Myeongsun Yoon
2. E. S. Kim
3. Levi K. Shiverdecker
4. Youngsuk Suh
5. Pui‐wa Lei
6. Yuying Shi
7. Alexander Robitzsch
8. John R. Hipp

In Management Science and Operations Research

1. Youngsuk Suh
2. Alexander Robitzsch
3. Myeongsun Yoon
4. E. S. Kim
5. Levi K. Shiverdecker
6. Pui‐wa Lei
7. Yuying Shi
8. John R. Hipp

Citations in the corpus

• Why Ordinal Variables Can (Almost) Always Be Treated as Continuous Variables: Clarifying Assumptions of Robust Continuous and Ordinal Factor Analysis Estimation Methods (2020, background): “The assumption of latent normality corresponds to the graded response model with a probit link function (Takane and de Leeuw, 1987; Glockner-Rist and Hoijtink, 2003; Kamata and Bauer, 2008).”
• Testing Measurement Invariance: A Comparison of Multiple-Group Categorical CFA and IRT (2011, methodology): “For the measurement invariance study, theta parameterization is optimal because the unique factor variances are freely estimated across multiple groups, so invariance of unique variances can be tested rather than assumed as in delta parameterization ( Kamata & Bauer, 2008 ; Millsap & Yun-Tein, 2004”
• Performance of Estimators for Confirmatory Factor Analysis of Ordinal Variables with Missing Data (2020, methodology): “There are generally two ways to present latent variable models with ordinal outcomes (e.g., Kamata & Bauer, 2008; McDonald, 1999; Muthén & Asparouhov, 2002a).”
• Violence in Urban Neighborhoods: A Longitudinal Study of Collective Efficacy and Violent Crime (2017, methodology): “…median household income; unemployment rate; percent 6 Factor analysis provides specific weights to each of the variables that compose the measure, which are analogous to an item response theory (IRT) approach; see Kamata and Bauer (2008) for the analytical proof that these approaches are identical.”
• The Performance of Maximum Likelihood and Weighted Least Square Mean and Variance Adjusted Estimators in Testing Differential Item Functioning With Nonnormal Trait Distributions (2015, background): “The intercept vi and the threshold τik are not simultaneously identified; thus, typically vi is fixed to zero in the model (Kamata & Bauer, 2008), and only λi and τik are estimated.”
• The Rediscovery of Bifactor Measurement Models (2012, methodology): “However, it has long been recognized that the two-parameter normalogive IRT model and the factor-analytic model for ordinal item responses are equivalent for either dichotomous or polytomous data (Kamata & Bauer, 2008; Takane & de Leeuw, 1987).”
• Attempted Validation of the Scores of the VARK: Learning Styles Inventory With Multitrait–Multimethod Confirmatory Factor Analysis Models (2010, methodology): “Psychometric analyses may include evaluations of the dimensionality of the items, the items’ difficulty parameters or thresholds, the items’ discrimination parameters or factor loadings (Kamata & Bauer, 2008), measurement invariance (Reise, Widaman, & Pugh, 1993), and reliability (Raykov, 2001b).”