CHIDIM: A FORTRAN program for assessing the dimensionality of binary item responses based on McDonald's nonlinear factor analytic model

Educational and Psychological Measurement

Volumn 57, Issue 1, 1997, Pages 174-178

  De Champlain, Andre F ^a   Tang, K Linda ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031539586     PISSN: 00131644     EISSN: None     Source Type: Journal    
DOI: 10.1177/0013164497057001014     Document Type: Article

References (15)

1. Bartlett, M. S. (1950). Tests of significance in factor analysis. British Journal of Psychology, 3, 77-85.
2. De Champlain, A., & Tang, K. L. (1993, April). The effect of nonnormal ability distributions on the assessment of dimensionality. Paper presented at the meeting of the National Council on Measurement in Education, Atlanta, GA.
3. Fraser, C., & McDonald, R. P. (1988). NOHARM: Least squares item factor analysis. Multivariate Behavioral Research, 23, 267-269.
4. Gessaroli, M. E., & De Champlain, A. (1996). Using an approximate chi-square statistic to test the number of dimensions underlying the responses to a set of items. Journal of Educational Measurement, 33, 157-179.
5. Goldstein, H., & Wood, R. (1989). Five decades of item response modelling. British Journal of Mathematical and Statistical Psychology, 42, 139-167.
6. Hambleton, R. K., & Rovinelli, R. J. (1986). Assessing the dimensionality of a set of test items. Applied Psychological Measurement, 10, 287-302.
7. Hattie, J. (1984). An empirical study of various indices for determining unidimensionality. Multivariate Behavioral Research, 19, 49-78.
8. Lord, F. M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NJ: Lawrence Erlbaum.
9. McDonald, R. P. (1967). Nonlinear factor analysis. Psychometrika Monograph No. 15, 32(4, Pt. 2).
10. McDonald, R. P. (1981). The dimensionality of tests and items. British Journal of Mathematical and Statistical Psychology, 34, 100-117.
11. McDonald, R. P. (1982). Linear versus nonlinear models in item response theory. Applied Psychological Measurement, 6, 379-396.
12. McDonald, R. P. (1989). Future directions for item response theory. International Journal of Educational Research, 13, 205-220.
13. McDonald, R. P. (1994). Testing for approximate dimensionality. In D. Laveault, B. Zumbo, M. E. Gessaroli, & M. W. Boss (Eds.), Modern theories of measurement: Problems and issues (pp. 63-86). Ottawa: Edumetrics Research Group.
14. Steiger, J. H. (1980). Tests for comparing elements of a correlation matrix. Psychological Bulletin, 87, 245-251.
15. Takane, Y., & De Leeuw, J. (1987). On the relationship between item response theory and factor analysis of discretized variables. Psychometrika, 52, 393-408.