Measurement bias and multidimensionality; an illustration of bias detection in multidimensional measurement models

Restricted factor analysis can be used to investigate measurement bias. A prerequisite for the detection of measurement bias through factor analysis is the correct specification of the measurement model. We applied restricted factor analysis to two subtests of a Dutch cognitive ability test. These two examples serve to illustrate the relationship between multidimensionality and measurement bias. We conclude that measurement bias implies multidimensionality, whereas multidimensionality shows up as measurement bias only if multidimensionality is not properly accounted for in the measurement model.

[1]  Albert Satorra,et al.  A scaled difference chi-square test statistic for moment structure analysis , 1999 .

[2]  J. S. Long,et al.  Testing Structural Equation Models , 1993 .

[3]  C. Spearman,et al.  THE SUB-STRUCTURE OF THE MIND , 2022 .

[4]  Gideon J. Mellenbergh,et al.  Item bias and item response theory , 1989 .

[5]  W. Meredith Measurement invariance, factor analysis and factorial invariance , 1993 .

[6]  M. R. Novick,et al.  Statistical Theories of Mental Test Scores. , 1971 .

[7]  R. Vandenberg,et al.  A Review and Synthesis of the Measurement Invariance Literature: Suggestions, Practices, and Recommendations for Organizational Research , 2000 .

[8]  Bengt Muthén,et al.  Latent variable modeling in heterogeneous populations , 1989 .

[9]  Dorothy T. Thayer,et al.  Differential Item Performance and the Mantel-Haenszel Procedure. , 1986 .

[10]  Frans J. Oort,et al.  Simulation study of item bias detection with restricted factor analysis , 1998 .

[11]  Frans J. Oort,et al.  Using restricted factor analysis with latent moderated structures to detect uniform and nonuniform measurement bias; a simulation study , 2010 .

[12]  B. Muthén,et al.  Robust inference using weighted least squares and quadratic estimating equations in latent variable modeling with categorical and continuous outcomes , 1997 .

[13]  D. Sörbom A GENERAL METHOD FOR STUDYING DIFFERENCES IN FACTOR MEANS AND FACTOR STRUCTURE BETWEEN GROUPS , 1974 .

[14]  F. Oort Using restricted factor analysis to detect item bias , 1992 .

[15]  K. Wender,et al.  Theory of Violators: Assessing Unidimensionality of Psychological Measures , 1993 .

[16]  F. Oort Using structural equation modeling to detect response shifts and true change , 2005, Quality of Life Research.

[17]  M. Browne,et al.  Alternative Ways of Assessing Model Fit , 1992 .

[18]  Willem E. Saris,et al.  Testing Structural Equation Models or Detection of Misspecifications? , 2009 .

[19]  F. Oort,et al.  Using structural equation modelling to detect measurement bias and response shift in longitudinal data , 2010 .

[20]  H. Swaminathan,et al.  Detecting Differential Item Functioning Using Logistic Regression Procedures , 1990 .

[21]  Terry A. Ackerman A Didactic Explanation of Item Bias, Item Impact, and Item Validity from a Multidimensional Perspective , 1992 .

[22]  Howard T. Everson,et al.  Methodology Review: Statistical Approaches for Assessing Measurement Bias , 1993 .