Confirmatory factor analysis and item response theory: two approaches for exploring measurement invariance.

This study investigated the utility of confirmatory factor analysis (CFA) and item response theory (IRT) models for testing the comparability of psychological measurements. Both procedures were used to investigate whether mood ratings collected in Minnesota and China were comparable. Several issues were addressed. The first issue was that of establishing a common measurement scale across groups, which involves full or partial measurement invariance of trait indicators. It is shown that using CFA or IRT models, test items that function differentially as trait indicators across groups need not interfere with comparing examinees on the same trait dimension. Second, the issue of model fit was addressed. It is proposed that person-fit statistics be used to judge the practical fit of IRT models. Finally, topics for future research are suggested.

[1]  Wim Jansen,et al.  Multilog: Multiple, Categorical Item Analysis and Test Scoring Using Item Response Theory , 1994 .

[2]  D. Laveault.  Modern theories of measurement : problems and issues , 1994 .

[3]  Mark R. Wilson,et al.  Marginal Maximum Likelihood Estimation for the Ordered Partition Model , 1993 .

[4]  R. Hambleton,et al.  Fundamentals of Item Response Theory , 1991 .

[5]  Fritz Drasgow,et al.  Appropriateness Measurement for Some Multidimensional Test Batteries , 1991 .

[6]  Robert C. MacCallum,et al.  Representing sources of error in the common-factor model: Implications for theory and practice. , 1991 .

[7]  G. Lautenschlager,et al.  Improving IRT Item Bias Detection With Iterative Linking and Ability Scale Purification , 1990 .

[8]  F. Baker.  Some Observations on the Metric of PC-BILOG Results , 1990 .

[9]  S. Reise,et al.  Parameter Recovery in the Graded Response Model Using MULTILOG , 1990 .

[10]  Steven P. Reise,et al.  A Comparison of Item- and Person-Fit Methods of Assessing Model-Data Fit in IRT , 1990 .

[11]  P. Bentler.  Comparative Fit Indices in Structural Models , 1990 .

[12]  R. P. McDonald,et al.  Choosing a multivariate model: Noncentrality and goodness of fit. , 1990 .

[13]  P. Bentler,et al.  Comparative fit indexes in structural models. , 1990, Psychological bulletin.

[14]  Robert J. Mislevy,et al.  BILOG 3 : item analysis and test scoring with binary logistic models , 1990 .

[15]  N G Waller,et al.  Computerized adaptive personality assessment: an illustration with the Absorption scale. , 1989, Journal of personality and social psychology.

[16]  B. Byrne,et al.  Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance. , 1989 .

[17]  Robert Cudeck,et al.  Analysis of correlation matrices using covariance structure models. , 1989 .

[18]  Peter M. Bentler,et al.  EQS : structural equations program manual , 1989 .

[19]  Dong-Gun Park,et al.  IRT Item Bias Detection Procedures: Issues of Model Misspecification, Robustness, and Parameter Linking , 1988 .

[20]  Gregory L. Candell,et al.  An Iterative Procedure for Linking Metrics and Assessing Item Bias in Item Response Theory , 1988 .

[21]  R. P. McDonald,et al.  Goodness-of-fit indexes in confirmatory factor analysis : The effect of sample size , 1988 .

[22]  S. Iwawaki,et al.  Cross-Cultural Comparability of Temperament Among Japanese and American Preschool Children , 1988 .

[23]  David Thissen,et al.  Data analysis using item response theory. , 1988 .

[24]  Stewart Smith,et al.  The Second Generation , 1988 .

[25]  Barbara M. Byrne,et al.  Adolescent Self-Concept: Testing the Assumption of Equivalent Structure Across Gender , 1987 .

[26]  Jan de Leeuw,et al.  On the relationship between item response theory and factor analysis of discretized variables , 1987 .

[27]  Fritz Drasgow,et al.  Study of the measurement bias of two standardized psychological tests. , 1987 .

[28]  C. David Vale,et al.  Linking Item Parameters Onto a Common Scale , 1986 .

[29]  David Thissen,et al.  Beyond group-mean differences: The concept of item bias. , 1986 .

[30]  A Minimum Chi-Square Method for Developing a Common Metric in Item Response Theory , 1985 .

[31]  R. Kanfer,et al.  Equivalence of psychological measurement in heterogeneous populations. , 1985, The Journal of applied psychology.

[32]  Neal M. Kingston,et al.  The Analysis of Item-Ability Regressions: An Exploratory IRT Model Fit Tool , 1985 .

[33]  H. Triandis,et al.  Measurement in Cross-Cultural Psychology , 1985 .

[34]  Craig N. Mills,et al.  A Comparison of Several Goodness-of-Fit Statistics , 1985 .

[35]  S. Embretson.  Test design : developments in psychology and psychometrics , 1985 .

[36]  Brian Everitt,et al.  An Introduction to Latent Variable Models , 1984 .

[37]  Fritz Drasgow,et al.  Appropriateness measurement with polychotomous item response models and standardized indices , 1984 .

[38]  Kikumi K. Tatsuoka,et al.  Caution indices based on item response theory , 1984 .

[39]  B. Muthén.  A general structural equation model with dichotomous, ordered categorical, and continuous latent variable indicators , 1984 .

[40]  F. Drasgow.  Scrutinizing psychological tests: Measurement equivalence and equivalent relations with external variables are the central issues , 1984 .

[41]  D. J. Jackson,et al.  Factor Analysis and Measurement in Sociological Research. , 1983 .

[42]  C. Reynolds,et al.  Outcome in Two Large Sample Studies of Factorial Similarity under Six Methods of Comparison , 1983 .

[43]  R. P. McDonald,et al.  A second generation nonlinear factor analysis , 1983 .

[44]  W.R. Koch.  Likert Scaling Using the Graded Response Latent Trait Model , 1983 .

[45]  Fritz Drasgow,et al.  Applications of item response theory to analysis of attitude scale translations. , 1982 .

[46]  Roderick P. McDonald,et al.  Linear Versus Models in Item Response Theory , 1982 .

[47]  R. D. Bock,et al.  Marginal maximum likelihood estimation of item parameters , 1982 .

[48]  David Thissen,et al.  Marginal maximum likelihood estimation for the one-parameter logistic model , 1982 .

[49]  Martha L. Stocking,et al.  Developing a Common Metric in Item Response Theory , 1982 .

[50]  Bengt Muthén,et al.  Simultaneous factor analysis of dichotomous variables in several groups , 1981 .

[51]  R. D. Bock,et al.  Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm , 1981 .

[52]  R. Linn,et al.  INTERACTIONS BETWEEN ITEM CONTENT AND GROUP MEMBERSHIP ON ACHIEVEMENT TEST ITEMS , 1981 .

[53]  P. Bentler,et al.  Significance Tests and Goodness of Fit in the Analysis of Covariance Structures , 1980 .

[54]  F. Lord.  Applications of Item Response Theory To Practical Testing Problems , 1980 .

[55]  W. F. Langerak,et al.  Psychometrics for educational debates , 1980 .

[56]  J. H. Steiger.  Statistically based tests for the number of common factors , 1980 .

[57]  Donald B. Rubin,et al.  Measuring the Appropriateness of Multiple-Choice Test Scores , 1979 .

[58]  M. Cole.  Review of Basic problems in cross-cultural psychology. , 1978 .

[59]  Benjamin D. Wright,et al.  Solving measurement problems with the Rasch model. , 1977 .

[60]  H. V. D. Flier,et al.  Fair Selection and Comparability of Testscores. , 1977 .

[61]  N. Frederiksen.  How to Tell if a Test Measures the Same Thing in Different Cultures. , 1976 .

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

[63]  Carl J. Jensema,et al.  AN APPLICATION OF LATENT TRAIT MENTAL TEST THEORY , 1974 .

[64]  L. Tucker,et al.  A reliability coefficient for maximum likelihood factor analysis , 1973 .

[65]  Karl G. Jöreskog,et al.  FACTORIAL INVARIANCE OF ABILITY MEASURES IN GROUPS DIFFERING IN INTELLIGENCE AND SOCIOECONOMIC STATUS , 1971 .

[66]  R. Brislin.  Back-Translation for Cross-Cultural Research , 1970 .

[67]  F. Samejima.  Estimation of latent ability using a response pattern of graded scores , 1968 .

[68]  R. P. McDonald,et al.  Nonlinear factor analysis. , 1967 .

[69]  R. Mcdonald.  A note on the derivation of the general latent class model , 1962 .