Reliability and True-Score Measures of Binary Items as a Function of Their Rasch Difficulty Parameter

Journal of Applied Measurement

Volumn 4, Issue 3, 2003, Pages 222-233

  Dimitrov, Dimiter M ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

RASCH MODEL; SCORE ANALYSIS;

CALIBRATION; COMPUTER SIMULATION; RELIABILITY; SET THEORY;

MEASUREMENT THEORY;

ARTICLE; HUMAN; METHODOLOGY; PROBABILITY; PSYCHOMETRY; REPRODUCIBILITY; STATISTICAL MODEL; STATISTICS; UNITED STATES;

HUMANS; MODELS, STATISTICAL; PROBABILITY; PSYCHOMETRICS; REPRODUCIBILITY OF RESULTS; UNITED STATES;

EID: 0141831771     PISSN: 15297713     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. Allen, J. M., and Yen, W. M. (1979). Introduction to measurement theory. Pacific Grove, CA: Brooks/Cole.
2. Brennan, R. L. (1983). Elements of generalizability theory. Iowa City, IA: American College Testing Program.
3. Brennan, R. L., and Kane, M. T. (1977). An index of dependability for mastery tests. Journal of Educational Measurement, 14,277-289.
4. Clauser, B. (1999). Relating Cronbach and Rasch reliabilities. Rasch Measurement Transactions, 13, 696.
5. Crick, J. E., and Brennan, R. L. (1983). Manual for GENOVA: A generalized analysis of variance system. The American College Testing Program, Iowa City: Iowa.
6. Cronbach, L. J. (1951). Coeficient alpha and the internal structure of a test. Psychometrika, 16, 297-334.
7. Dimitrov, D. M. (2002). Reliability: Arguments for multiple perspectives and potential problems with generalization across studies. Educational and Psychological Measurement, 62, 783-801.
8. Dimitrov, D. M. (2001, October). Reliability of Rasch measurement with skewed ability distributions. Paper presented at the International Conference on Objective Measurement. Chicago, IL.
9. Dimitrov, D. M. (1996, April). Monte Carlo approach for reliability estimations in generalizability studies. Paper presented at the Annual Meeting of the American Educational Research Association, New York.
10. Evans, M.., Hastings, N., and Peacock, B. (1993). Statistical distributions (2nd ed.). New York: John Wiley.
11. Feldt, L. S., and Brennan, R. L. (1993). Reliability. In R. L. Linn (Ed.), Educational measurement (3rd. Ed.) (pp. 105-146). Phoenix, AZ: American Council on Education and The Oryx Press.
12. Hambleton, R. K., and Jones, R. W. (1993). Comparison of classical test theory and item response theory and their applications to test development. Educational Measurement: Issues and Practice, 12, 38-47.
13. Jöreskog, K. G. (1971). Statistical analysis of sets of congeneric tests. Psychometrika, 36, 109-133.
14. Kuder, G. F., and Richardson, M. W. (1937). The theory of the estimation of test reliability. Psychometrika, 1937, 2, 151-160.
15. Linacre, J. M. (1997). KR-20 or Rasch reliability: Which tells the "truth"? Rasch Measurement Transactions, 11, 580-581.
16. Linacre, J. M. (1996). True-score reliability or Rasch statistical validity? Rasch Measurement Transactions, 9, 455-456..
17. Lord, F. M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NL: Lawrence Erlbaum.
18. MathWorks, Inc. (1999). Learning MATLAB (Version 5.3). Natick, MA: Author.
19. Novick, M. R., and Lewis, C. (1967). Coefficient alpha and the reliability of composite measurements. Psychometrika, 32, 1-13.
20. Rasch, G. (1960). Probabilistic models for intelligence and attainment tests. Copenhagen: Danmarks Paedagogiske Institut.
21. SAS Institute. (1985). SAS user's guide: Version 5 edition. Cary, NC: Author.
22. Sawilowski, S. S. (2000). Psychometrics versus datametrics: Comments on Vacha-Haase's "reliability generalization" method and some EPM editorial policies. Educational and Psychological Measurement, 60, 157-173.
23. Shavelson, J. S., and Webb, N. M. (1991). Generalizability theory: A primer. Newbury Park, CA: Sage.
24. Smith, Jr., E. V. (2000). Metric development and score reporting. Journal of Applied Measurement, 3, 303-326.
25. Smith, Jr., E. V. (2001). Evidence for the reliability of measures and validity of measure interpretation: A Rasch measurement perspective. Journal of Applied Measurement, 2, 281-311.
26. SPSS Inc. (2002). SPSS Base 11.0 User's guide. Chicago: Author.
27. SPSS Inc. (1998). SigmaPlot 5.0 User's guide. Chicago: Author.
28. Thompson, B., and Vacha-Haase, T. (2000). Psychometrics is datametrics: The test is not reliable. Educational and Psychological Measurement, 60, 174-195.
29. Wright, B. D. (2001). Separation, reliability and skewed distributions. Rasch Measurement Transactions 14, 786.
30. Wright, B. D. (1998). Interpreting reliability. Rasch Measurement Transactions, 11, 602.
31. Wright, B. D. (1996). Reliability and separation. Rasch Measurement Transactions, 9, 472.