Standard errors of the kernel equating methods under the common-item design

Applied Psychological Measurement

Volumn 21, Issue 4, 1997, Pages 349-369

  Liou, Michelle ^a,b   Cheng, Philip E ^a   Johnson, Eugene G ^c  

^a ACADEMIA SINICA   (Taiwan)

^b INSTITUTE OF STATISTICAL SCIENCE   (Taiwan)

^c NONE

Author keywords

Equating; Equipercentile equating; Frequency estimation method; Kernel equating; Log linear models; Standard errors

Indexed keywords

EID: 0039974478     PISSN: 01466216     EISSN: None     Source Type: Journal    
DOI: 10.1177/01466216970214005     Document Type: Article

References (20)

1. Angoff, W. H. (1984). Scales, norms, and equivalent scores. Princeton NJ: Educational Testing Service. [Reprint of Chapter 15 in R. L. Thorndike (Ed.), Educational measurement (2nd Ed.). Washington DC: American Council on Education, 1971.]
2. Angoff, W. H. (1984). Scales, norms, and equivalent scores. Princeton NJ: Educational Testing Service. [Reprint of Chapter 15 in R. L. Thorndike (Ed.), Educational measurement (2nd Ed.). Washington DC: American Council on Education, 1971.]
3. Bahadur, R. R. (1966). A note on quantiles in large samples. Annals of Mathematical Statistics, 37, 577-580.
4. Braun, H. I., & Holland, P. W. (1982). Observed-score test equating: A mathematical analysis of some ETS equating procedures. In P. W. Holland & D. B. Rubin (Eds.), Test equating (pp. 9-49). New York: Academic Press.
5. Burden, R. L., Faires, J. D., & Reynolds, A. C. (1981). Numerical analysis (2nd ed.). Boston: Prindle, Weber & Schmidt.
6. Donoghue, J. R. (1992). Data analysis for the reading assessment. In E. G. Johnson & N. Allen (Eds.), The NAEP 1990 technical report (pp. 215-241). Washington DC: U.S. Department of Education.
7. Holland, P. W., King, B. F., & Thayer, D. T. (1989). The standard error of equating for the kernel method of equating score distributions (Technical Report No. 89-93). Princeton NJ: Educational Testing Service.
8. Holland, P. W., & Thayer, D. T. (1987). Notes on the use of log-linear models for fitting discrete probability distributions (Technical Report No. 87-79). Princeton NJ: Educational Testing Service.
9. Holland, P. W., & Thayer, D. T. (1989). The kernel method of equating score distributions (Technical Report No. 89-7). Princeton NJ: Educational Testing Service.
10. International Mathematical and Statistical Libraries. (1987). User manual (Stat Library Vol. 1). Houston TX: Author.
11. Jarjoura, D., & Kolen, M. J. (1985). Standard errors of equipercentile equating for the common item nonequivalent populations design. Journal of Educational Statistics, 10, 143-160.
12. Johnson, E. G. (1992). The design of the National Assessment of Educational Progress. Journal of Educational Measurement, 29, 95-110.
13. Liou, M., & Cheng, P. E. (1995a). Asymptotic standard error of equipercentile equating. Journal of Educational and Behavioral Statistics, 20, 259-286.
14. Liou, M., & Cheng, P. E. (1995b). Equipercentile equating via data-imputation techniques. Psychometrika, 60, 119-136.
15. Little, R. J. A., & Rubin, D. B. (1994). Test equating from biased samples, with application to the Armed Services Vocational Aptitude Battery. Journal of Educational and Behavioral Statistics, 19, 309-335.
16. Livingston, S. A. (1993a). Small-sample equating with log-linear smoothing. Journal of Educational Measurement, 30, 23-29.
17. Livingston, S. A. (1993b). An empirical tryout of kernel equating (Research Report No. 93-33). Princeton NJ: Educational Testing Service.
18. Lord, F. (1965). A strong true-score theory, with applications. Psychometrika, 30, 239-270.
19. Rosenbaum, P. R., & Thayer, D. (1987). Smoothing the joint and marginal distributions of scored two-way contingency tables in test equating. British Journal of Mathematical and Statistical Psychology, 40, 43-49.
20. Wald, A. (1949). Note on the consistency of the maximum likelihood estimate. Annals of Mathematical Statistics, 20, 595-601.