|
Sign In to gain access to subscriptions and/or personal tools.
|
Applied Psychological Measurement, Vol. 7, No. 2,
189-199 (1983)
DOI: 10.1177/014662168300700207
Application of Unidimensional Item Response Theory Models to Multidimensional Data
Fritz Drasgow
University of Illinois
Charles K. Parsons
Georgia Institute of Technology
A simulation model was developed for generating item responses from a multidimensional latent trait space The model permits the prepotency of a general latent trait underlying responses to all simulated items to be varied systematically. Five levels of prepotency were used to generate data sets The levels of prepo tency ranged from a truly unidimensional latent trait space to a very weak general latent trait. Simulated item pools with guessing and without guessing were analyzed by the LOGIST computer program The gen eral latent trait was recovered in data sets where the prepotency of the general latent trait was only moder ate. Consequently, it appears that item response theory models can be applied to moderately heterogenous item pools under the conditions simulated here.
References
- Birnbaum, A. Some latent trait models. In F. M. Lord & M. R. Novick, Statistical theories of mental test scores. Reading MA: Addison-Wesley, 1968.
- Christoffersson, A. Factor analysis of dichotomized variables. Psychometrika, 1975, 40, 5-32.[CrossRef]
- Drasgow, F., & Lissak, R.I. Modified parallel analysis: A procedure for examining the latent dimensionality of dichotomously scored item responses. Journal of Applied Psychology, in press.
- Hulin, C.L., Lissak, R.I., & Drasgow, F. Recovery of two- and three-parameter logistic item characteristic curves: A monte carlo study. Applied Psychological Measurement, 1982, 6, 249-260.[Abstract/Free Full Text]
- IMSL Library I (5th ed.). Houston TX. International Mathematical and Statistical Libraries , 1975.
- Lord, F.M. Evaluation with artificial data of a procedure for estimating ability and item characteristic curve parameters (Research Bulletin 75-33. Princeton NJ: Educational Testing Service, 1975.
- Lord, F.M. Applications of item response theory to practical testing problems. Hillsdale NJ: Erlbaum, 1980.
- Lord, F.M., & Novick, M.R. Statistical theories of mental test scores. Reading MA : Addison-Wesley, 1968.
- Muthén, B. Contributions to factor analysis of dichotomous variables. Psychometrika, 1978, 43, 551-560.[CrossRef]
- Reckase, M.D. Unifactor latent trait models applied to multifactor tests: Results and implications . Journal of Educational Statistics, 1979, 4, 207-230.[CrossRef]
- Reckase, M.D., & McKinley, R.L. Some latent trait theory in a multidimensional latent space. In D. J. Weiss (Ed.), Proceedings of the 1982 Item Response Theory/Computerized Adaptive Testing Conference. Minneapolis: University of Minnesota, Department of Psychology, Computerized Adaptive Testing Laboratory, in press.
- Schmid, J., & Leiman, J. The development of hierarchical factor solutions. Psychometrika , 1957, 22, 53-61.[Medline]
[Order article via Infotrieve]
- Swaminathan, H., & Gifford, J.A. Estimation of parameters in the three parameter latent trait model (Report No. 90. Amherst MA: University of Massachusetts, School of Education, Laboratory of Psychometric and Evaluation Research, 1979.
- Sympson, J.B. A model for testing with multidimensional items. In D. J. Weiss (Ed.), Proceedings of the 1977 Computerized Adaptive Testing Conference Minneapolis: University of Minnesota, Department of Psychology, Psychometric Methods Program , 1978.
- Thurstone, L.L. Multiple-factor analysis. Chicago: University of Chicago Press, 1947.
- Wingersky, M.S. LOGIST: A program for computing maximum likelihood procedures for logistic test models. In R. K. Hambleton (Ed.), ERIBC monograph on applications of item response theory. Vancouver BC: Educational Research Institute of British Columbia, in press.
- Wood, R.L., & Lord, F.M. A user's guide to LOGIST (Research Memorandum 76-4. Princeton NJ: Educational Testing Service, 1976.
- Wood, R.L., Wingersky, M.S., & Lord, F.M. LOGIST—A computer program for estimating examinee ability and item characteristic curve parameters (Research Memorandum 76-6. Princeton NJ : Educational Testing Service, 1976 .
 CiteULike  Connotea  Del.icio.us  Digg  Reddit  Technorati What's this?
This article has been cited by other articles:
|
|
|
|
 
C. A. Scherbaum, Y. Cohen-Charash, and M. J. Kern
Measuring General Self-Efficacy: A Comparison of Three Measures Using Item Response Theory
Educational and Psychological Measurement,
December 1, 2006;
66(6):
1047 - 1063.
[Abstract]
[PDF]
|
|
|
|
|
|
|
R. Tate
A Comparison of Selected Empirical Methods for Assessing the Structure of Responses to Test Items
Applied Psychological Measurement,
May 1, 2003;
27(3):
159 - 203.
[Abstract]
[PDF]
|
|
|
|
|
|
|
W. R. Nugent
A Psychometric Study of the Multi-Problem Screening Inventory Depression Subscale Using Item Response and Generalizability Theories
Research on Social Work Practice,
January 1, 2003;
13(1):
65 - 79.
[Abstract]
[PDF]
|
|
|
|
|
|
|
E. F. Sinar and M. J. Zickar
Evaluating the Robustness of Graded Response Model and Classical Test Theory Parameter Estimates to Deviant Items
Applied Psychological Measurement,
June 1, 2002;
26(2):
181 - 191.
[Abstract]
[PDF]
|
|
|
|
|
|
|
L. Kirisci, T.-c. Hsu, and L. Yu
Robustness of Item Parameter Estimation Programs to Assumptions of Unidimensionality and Normality
Applied Psychological Measurement,
June 1, 2001;
25(2):
146 - 162.
[Abstract]
[PDF]
|
|
|
|
|
|
|
A. E. Seraphine
The Performance of Dimtest When Latent Trait and Item Difficulty Distributions Differ
Applied Psychological Measurement,
March 1, 2000;
24(1):
82 - 94.
[Abstract]
[PDF]
|
|
|
|
|
|
|
R. J. Harvey and A. L. Hammer
Item Response Theory
The Counseling Psychologist,
May 1, 1999;
27(3):
353 - 383.
[Abstract]
[PDF]
|
|
|
|
|
|
|
D. V. Budescu, Y. Cohen, and A. Ben-Simon
A Revised Modified Parallel Analysis for the Construction of Unidimensional Item Pools
Applied Psychological Measurement,
September 1, 1997;
21(3):
233 - 252.
[Abstract]
[PDF]
|
|
|
|
|
|
|
M. Harwell, C. A. Stone, T.-C. Hsu, and L. Kirisci
Monte Carlo Studies in Item Response Theory
Applied Psychological Measurement,
June 1, 1996;
20(2):
101 - 125.
[Abstract]
[PDF]
|
|
|
|
|
|
|
G. R. Budgell, N. S. Raju, and D. A. Quartetti
Analysis of Differential Item Functioning in Translated Assessment Instruments
Applied Psychological Measurement,
December 1, 1995;
19(4):
309 - 321.
[Abstract]
|
|
|
|
|
|
|
R. J. De Ayala
The Influence of Dimensionality on Estimation in the Partial Credit Model
Educational and Psychological Measurement,
June 1, 1995;
55(3):
407 - 422.
[Abstract]
|
|
|
|
|
|
|
J.-G. Blais and M. D. Laurier
The dimensionality of a placement test from several analytical perspectives
Language Testing,
March 1, 1995;
12(1):
72 - 98.
[Abstract]
[PDF]
|
|
|
|
|
|
|
R.J. De Ayala
The Influence of Multidimensionality on the Graded Response Model
Applied Psychological Measurement,
June 1, 1994;
18(2):
155 - 170.
[Abstract]
[PDF]
|
|
|
|
|
|
|
M. Roznowski, L. G. Humphreys, and T. Davey
A Simplex Fitting Approach to Dimensionality Assessment of Binary Data Matrices
Educational and Psychological Measurement,
June 1, 1994;
54(2):
263 - 283.
[Abstract]
|
|
|
|
|
|
|
R.-M. Batley and M. W. Boss
The Effects on Parameter Estimation of Correlated Dimensions and a Distribution-Restricted Trait in a Multidimensional Item Response Model
Applied Psychological Measurement,
June 1, 1993;
17(2):
131 - 141.
[Abstract]
|
|
|
|
|
|
|
N. S. Raju, F. Drasgow, and J. A. Slinde
An Empirical Comparison of the Area Methods, Lord'S Chi-Square Test, and the Mantel-Haenszel Technique for Assessing Differential Item Functioning
Educational and Psychological Measurement,
June 1, 1993;
53(2):
301 - 314.
[Abstract]
|
|
|
|
|
|
|
R. Nandakumar
Assessing Essential Unidimensionality of Real Data
Applied Psychological Measurement,
March 1, 1993;
17(1):
29 - 38.
[Abstract]
|
|
|
|
|
|
|
I.-C. Choi and L. F. Bachman
An investigation into the adequacy of three IRT models for data from two EFL reading tests
Language Testing,
June 1, 1992;
9(1):
51 - 78.
[PDF]
|
|
|
|
|
|
|
M. Roznowski, L. R Tucker, and L. G. Humphreys
Three Approaches to Determining the Dimensionality of Binary Items
Applied Psychological Measurement,
June 1, 1991;
15(2):
109 - 127.
[Abstract]
[PDF]
|
|
|
|
|
|
|
M. Liou
Effect of Scale Adjustment on the Comparison of Item and Ability Parameters
Applied Psychological Measurement,
September 1, 1990;
14(3):
313 - 321.
[Abstract]
|
|
|
|
|
|
|
V. G. Folk and B. F. Green
Adaptive Estimation When the Unidimensionality Assumption of IRT is Violated
Applied Psychological Measurement,
December 1, 1989;
13(4):
373 - 390.
[Abstract]
|
|
|
|
|
|
|
M. Liou
Unidimensionality Versus Statistical Accuracy: A Note on Beiar's Method for Detecting Dimensionality of Achievement Tests
Applied Psychological Measurement,
December 1, 1988;
12(4):
381 - 386.
[Abstract]
|
|
|
|
|
|
|
W. D. Way, T. N. Ansley, and R. A. Forsyth
The Comparative Effects of Compensatory and Noncompensatory Two-Dimensional Data on Unidimensional IRT Estimates
Applied Psychological Measurement,
September 1, 1988;
12(3):
239 - 252.
[Abstract]
|
|
|
|
|
|
|
J. A. Shea, J. J. Norcini, and G. D. Webster
An Application of Item Response Theory to Certifying Examinations in Internal Medicine
Eval Health Prof,
September 1, 1988;
11(3):
283 - 305.
[Abstract]
[PDF]
|
|
|
|
|
|
|
L. L. Cook, N. J. Dorans, and D. R. Eignor
An Assessment of the Dimensionality of Three SAT-Verbal Test Editions
Journal of Educational and Behavioral Statistics,
January 1, 1988;
13(1):
19 - 43.
[Abstract]
[PDF]
|
|
|
|
|
|
|
R. J. Mislevy
Chapter 6: Recent Developments in Item Response Theory with Implications for Teacher Certification
Review of Research in Education,
January 1, 1987;
14(1):
239 - 275.
[PDF]
|
|
|
|
|
|
|
G. L. Candell and C. L. Hulin
Cross-Language and Cross-Cultural Comparisons in Scale Translations: Independent Sources of Information about Item Nonequivalence
Journal of Cross-Cultural Psychology,
December 1, 1986;
17(4):
417 - 440.
[Abstract]
|
|
|
|
|
|
|
D. A. Harrison
Robustness of Irt Parameter Estimation to Violations of The Unidimensionality Assumption
Journal of Educational and Behavioral Statistics,
January 1, 1986;
11(2):
91 - 115.
[Abstract]
[PDF]
|
|
|
|
|
|
|
C. D. McCauley and J. Mendoza
A Simulation Study of Item Bias Using a Two-Parameter Item Response Model
Applied Psychological Measurement,
December 1, 1985;
9(4):
389 - 400.
[Abstract]
|
|
|
|
|
|
|
T. N. Ansley and R. A. Forsyth
An Examination of the Characteristics of Unidimensional IRT Parameter Estimates Derived From Two-Dimensional Data
Applied Psychological Measurement,
March 1, 1985;
9(1):
37 - 48.
[Abstract]
|
|
|
|
|
|
|
C. H. Hui, F. Drasgow, and B.-H. Chang
Analysis of the Modernity Scale: An Item Response Theory Approach
Journal of Cross-Cultural Psychology,
September 1, 1983;
14(3):
259 - 278.
[Abstract]
|
|
|
|
