Poly-detect for quantifying the degree of multidimensionality of item response data

Journal of Educational Measurement

Volumn 38, Issue 2, 2001, Pages 99-120

  Yu, Feng ^a   Nandakumar, Ratna ^b  

^a EDUCATIONAL TESTING SERVICE   (United States)

^b UNIVERSITY OF DELAWARE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035536106     PISSN: 00220655     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-3984.2001.tb01118.x     Document Type: Article

References (30)

1. Ackerman, A. T. (1989). Unidimensional IRT calibration of compensatory and noncompensatory multidimensional items. Applied Psychological Measurement, 13, 113-127
2. Beaton, A. E., & Zwick, R. (1992). Overview of the National Assessment of Educational Progress. Journal of Educational Statistics, 17, 95-109
3. Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee's ability. In F. M. Lord & M. R. Novick, Statistical theories of mental test scores. Reading, MA: Addison-Wesley
4. Bock, R. D., Gibbons, R., & Muraki, E. (1985). Full-information item factor analysis (MRC Report No. 85-1). Chicago: National Opinion Research Center
5. Douglas, J., Kim, H. R., & Stout, W. F. (1994). Exploring and explaining the lack of local independence through conditional covariance functions. Paper presented at the annual meeting of American Educational Research Association, New Orleans, LA
6. Etazadi-Amoli, J. E., & McDonald, R. P. (1983). A second generation non-linear factor analysis. Psychometrika, 43, 315-342
7. Johnson, E. G., & Carlson, J. E. (1994). The NAEP 1992 technical report. National Center for Educational Statistics, Report #23-TR20
8. Junker, B. W., & Stout, W. F. (1994). Robustness of ability estimation when multiple traits are present with one trait dominant. Paper presented at the 1991 International Symposium on Modern Theories in Measurement: Problems and Issues. Montebello, Quebec
9. Kim, H. R. (1994). New techniques for the dimensionality assessment of standardized test data. Unpublished doctoral dissertation, University of Illinois at Urbana-Champaign
10. Kim, H. R., Zhang, J. M., & Stout, W. F. (1995). A new index of dimensionality - DETECT. Unpublished manuscript, University of Illinois at Urbana-Champaign
11. Li, H. H., & Sout, W. F. (1995). Assessment of unidimensionality for mixed polytomous and dichotomous item data: Refinements of Poly-DIMTEST. Paper presented at the annual meeting of National Council on Measurement in Education, San Francisco, CA
12. McDonald, P. R. (1962). A general approach to nonlinear factor analysis. Psychometrika, 4, 397-415
13. McDonald, P. R., & Ahlawat, K. S. (1974). Different factors in binary data. British Journal of Mathematical and Statistical Psychology, 27, 82-99
14. Muraki, E. (1992). A generalized partial credit model: Application of an EM of algorithm. Applied Psychological Measurement, 16, 159-176
15. Muraki, E., Carlson, J. E., & Bolt, D. (1996). Confirmatory full-information factor analysis based on the generalized partial credit model. Paper presented at the annual meeting of American Educational Research Association, New York, NY
16. Nandakumar, R., & Stout, W. F. (1993). Refinement of Stout's procedure for assessing latent trait dimensionality. Journal of Educational Statistics, 18, 41-68
17. Nandakumar, R., Yu, F., Li, H. H., & Stout, W. F. (1998). Validation of Poly-DIMTEST to assess Unidimensionality of Polytomous Data. Applied Psychological Measurement, 22, 99-115
18. Reckase, M. D., & Mckinley, R. L. (1991). The discriminating power of items that measure more than one dimension. Applied Psychological Measurement, 15, 361-373
19. Reckase, M. D. (1985). The difficulty of test items that measure more than one ability. Applied Psychological Measurement, 9, 401-412
20. Reckase, M. D., & Mckinley, R. L. (1983). The definition of difficulty and discrimination for multidimensional item response theory models. Paper presented at the annual meeting of American Educational Research Association, Montreal
21. Reckase, M. D. (1979). Unifactor latent trait models applied to multifactor tests: Results and implications. Journal of Educational Statistics, 4, 207-230
22. Rosenbaum, P. R. (1984). Testing the conditional independence and monotonicity assumptions of item response theory. Psychometrika, 49, 425-435
23. Stout, W. F. (1987). A nonparametric approach for assessing latent trait unidimensionality. Psychometrika, 52, 589-617
24. Stout, W. F. (1990). A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation. Psychometrika, 55, 293-325
25. Wang, M. (1987). Estimation of ability parameters from response data to items that are precalibrated with a unidimensional model. Paper presented at the annual meeting of the American Educational Research Association, Washington, DC
26. Way, W. D., Ansley, T. N., & Forsyth, R. A. (1988). The comparative effects of compensatory and non-compensatory two-dimensional data on unidimensional IRT estimates. Applied Psychological Measurement, 12, 239-252
27. Yu, F. (1996). Poly-Detect for assessing dimensionality of polytomous data and robustness of unidimensional BILOG estimation. Unpublished doctoral dissertation, Department of Educational Studies, University of Delaware
28. Yu, F., & Nandakumar, R. (1997a). The impact of second ability dimension on the unidimensional estimation of item and ability parameters. Paper presented at the annual meeting of National Council on Measurement in Education, Chicago, IL
29. Tu, F., & Nandakumar, R. (1997b). Validation of Poly-Detect procedure to assess degree of multidimensionality of polytomous data. Paper presented at the annual meeting of American Educational Research Association, Chicago, IL
30. Zhang, J., & Stout, W. (1999). The theoretical DETECT index of dimensionality and its application to approximate simple structure. Psychometrika, 64, 213-249