Resolving the mixed models controversy

American Statistician

Volumn 53, Issue 4, 1999, Pages 352-356

  Voss, Daniel T ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

Mixed model; Random effect; Superpopulation; Variance component

Indexed keywords

EID: 0033477055     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.1999.10474489     Document Type: Article

References (21)

1. Anderson, R. L., and Bancroft, T. A. (1952), Statistical Theory in Research, New York: McGraw-Hill.
2. Bose, R. C. (1947), “Mathematical Theory of the Symmetrical Factorial Design,” Sankhya, 8, 107-166.
3. Graybill, F. A. (1961), An Introduction to Linear Statistical Models. Vol. 1, New York: McGraw-Hill.
4. Harville, D. A. (1978), “Alternative Formulations and Procedures for the Two-Way Mixed Model,” Biometrics, 34, 441-453.
5. Hicks, C. R. (1982), Fundamental Concepts in the Design of Experiments (3rd ed.), New York: Hold, Rinehart and Winston.
6. Hocking, R. R. (1973), “A Discussion of the Two-Way Mixed Model,” The American Statistician, 27, 148-152.
7. Hocking, R. R. (1985), The Analysis of Linear Models, Monterey, CA: Brooks/Cole.
8. John, P. W. M. (1971), Statistical Design and Analysis of Experiments, New York: Macmillan.
9. Kirk, R. E. (1982), Experimental Design: Procedures for the Behavioral Science (2nd ed.), Blemont, CA: Brooks/Cole.
10. McLean, R. A., Sanders, W. L., and Stroup, W. W. (1991), “A Unified Approach to Mixed Linear Models,” The American Statistician, 45, 5464.
11. Milliken, G. A., and Johnson, D. E. (1984), Analysis of Messy Data: Vol. 1. Designed Experiments, Belmont, CA: Lifetime Learning Publications.
12. Montgomery, D. C. (1991), Design and Analysis of Experiments, New York: Wiley.
13. Mood, A. M. (1950), Introduction to the Theory of Statistics, New York: McGraw-Hill.
14. Neter, J., Wasserman, W., and Kutner, M. H. (1990), Applied Linear Statistical Models (3rd ed.), Boston: Irwin.
15. Ott, L. (1988), An Introduction to Statistical Methods and Data Analysis (3rd ed.), Boston: PWS-Kent.
16. SAS Institute, Inc. (1990), SAS Users Guide: Statistics (Version 6), Cary, NC: Author.
17. Scheffe, H. (1956), “A ‘Mixed Model’ for the Analysis of Variance,” Annals of Mathematical Statistics, 27, 23-26.
18. Scheffe, H. (1959), The Analysis of Variance, New York: Wiley.
19. Schwarz, C. J. (1993), “The Mixed-Model ANOVA: The Truth, the Computer Packages, the Books-Part I: Balanced Data” The American Statistician, 47, 48-59.
20. Searle, S. R. (1971), Linear Models, New York: Wiley.
21. Snedecor, G. W., and Cochran, W. G. (1967), Statistical Methods (6th ed.), Ames: Iowa State University Press.