Analysis of covariance and randomized block design with heterogeneous slopes

Journal of Experimental Education

Volumn 69, Issue 4, 2001, Pages 393-410

  Klockars, Alan J ^a   Beretvas, S Natasha ^a,b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

ANCOVA; Randomized block; Type I error

Indexed keywords

EID: 0035535105     PISSN: 00220973     EISSN: 19400683     Source Type: Journal    
DOI: 10.1080/00220970109599494     Document Type: Article

References (20)

1. Atiquallah, M. (1964). The robustness of the covariance analysis of a one-way classification. Bio-metrika, 51, 365-372.
2. Bradley, J. C. (1978). Robustness? British Journal of Mathematical and Statistical Psychology, 31, 144-152.
3. Cronbach, L. J., & Snow, R. E. (1977). Aptitudes and instructional methods: A handbook for research on interactions. New York: Irvington.
4. Feldt, L. S. (1958). A comparison of the precision of three experimental designs employing a concomitant variable. Psychometrika, 23, 335-353.
5. Hamilton, B. L. (1977). An empirical investigation of the effects of heterogeneous regression slopes in analysis of covariance. Educational and Psychological Measurement, 37, 701-712.
6. Harwell, M. R., & Serlin, R. C. (1988). An empirical study of a proposed test of nonparametric analysis of covariance. Psychological Bulletin, 104, 268-281.
7. Hollingworth, H. H. (1980). An analytical investigation of the effects of heterogeneous regression slopes in analysis of covariance. Educational and Psychological Measurement, 40, 611-618.
8. Johnson, P. O., & Neyman, J. (1936). Tests of certain linear hypotheses and their application to some educational problems. Statistical Research Memoirs, 1, 57-93.
9. Kirk, R. E. (1995). Experimental design: Procedures for the behavioral sciences (3rd ed.). Pacific Grove, CA: Brooks/Cole.
10. Klockars, A. J., Potter, N. S., & Beretvas, S. N. (1999). Power to detect additive treatment effects with randomized block and analysis of covariance designs. The Journal of Experimental Education, 67, 180-191.
11. Levy, K. J. (1980). A Monte Carlo study of analysis of covariance under violations of the assumptions of normality and equal regression slopes. Educational and Psychological Measurement, 40, 835-840.
12. Lomax, R. G. (2001). Statistical concepts: A second course for education in the behavioral sciences (2nd ed.). Mahwah, NJ: Erlbaum.
13. Maxwell, S. E., & Delaney, H. D. (1990). Designing experiments and analyzing data: A model comparison perspective. Belmont, CA: Wadsworth.
14. Maxwell, S. E., O'Callaghan, M. F., & Delaney, H. D. (1993). Analysis of covariance. In L. K. Edwards (Ed.), Applied analysis of variance in behavioral science (pp. 63-104). New York: Marcel Dekker.
15. McClelland, G. H., & Judd, C. M. (1993). Statistical difficulties of detecting interactions and moderator effects. Psychological Bulletin, 114, 376-390.
16. Myers, J. L., & Wells, A. D. (1995). Research design and statistical analysis. Hillsdale, NJ: Erlbaum.
17. Peckham, P. (1970, April). The robustness of the analysis of covariance to heterogeneous regression slopes. Paper presented at the annual meeting of the American Educational Research Association, Minneapolis, MN.
18. Rogosa, D. R. (1980). Comparing non-parallel regression lines. Psychological Bulletin, 88, 307-321.
19. Rogosa, D. R. (1981). On the relationship between the Johnson-Neyman region of significance and statistical tests of parallel within-group regressions. Educational and Psychological Measurement, 41, 73-84.
20. Wu, Y. B. (1984). The effects of heterogeneous regression slopes on the robustness of two test statistics in the analysis of covariance. Educational and Psychological Measurement, 44, 647-663.