Characterizing Sums of Squares by Their Distributions

American Statistician

Volumn 51, Issue 1, 1997, Pages 55-58

  Seely, Justus F ^a   Birkes, David ^a   Lee, Youngjo ^b  

^a OREGON STATE UNIVERSITY   (United States)

^b Seoul National University   (South Korea)

Author keywords

Chi squared distribution; Error sum of squares; Linear hypothesis; Linear model

Indexed keywords

EID: 0031502946     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.1997.10473590     Document Type: Article

References (11)

1. Christensen, R., 1987. Plane Answers to Complex Questions, New York:Springer-Verlag.
2. Graybill, F., 1976. Theory and Application of the Linear Model, Belmont, CA:Duxbury.
3. Hocking, R. R., 1985. The Analysis of Linear Models, Monterey, CA:Brooks/Cole.
4. Hogg, R. V., and Craig, A. T., 1995. Introduction to Mathematical Statistics, 5th ed., Englewood Cliffs, NJ:Prentice-Hall.
5. Hogg, R. V., and Tanis, E. A., 1993. Probability and Statistical Inference, 4th ed., New York:Macmillan.
6. Kolmogorov, A. N., and Fomin, S. V., 1970. Introductory Real Analysis, Edited by:Silverman, R. A., New York:Dover.
7. Larson, H. J., 1982. Introduction to Probability Theory and Statistical Inference, 3rd ed., New York:John Wiley.
8. Rao, C. R., 1973. Linear Statistical Inference and Its Applications, 2nd ed., New York:John Wiley.
9. Rice, J. A., 1995. Mathematical Statistics and Data Analysis, 2nd ed., Belmont, CA:Duxbury.
10. Seely, J. F., and El-Bassiouni, Y., 1983. “Applying Wald's Variance Component Test,”. The Annals of Statistics, 11:197–201.
11. Stuart, A., and Ord, J. K., 1994. Kendall's Advanced Theory of Statistics, Vol. 1, 6th ed., New York:Halsted.