References
Periodicals
- Bainbridge, T. R., “Staggered, Nested Designs for Estimating Variance Components,”, Industrial Quality Control, Vol. 22, No. 1, July 1965, pp. 12–20.
- Cochran, W. G., “Testing a Linear Relation Among Variances,”, Biometrics, Vol. 7, 1951, pp. 17–32.
- Cornfield, J., and Tukey, J. W., “Average Values of Mean Squares in Factorials,”, Annals of Mathematical Statistics, Vol. 27, 1956, pp. 907–949.
- Davenport, J. M., and Webster, J. T., “Type-I Error and Power of a Test Involving a Satterthwaite's Approximate F-Statistic,”, Technometrics, Vol. 14, No. 3, August 1972, pp. 555–569.
- Eisen, E. J., “The Quasi-F Test for an Unnested Factor in an Unbalanced Hierarchal Design with a Mixed Model,”, Biometrics, Vol. 22, No. 4, December 1966, pp. 937–942.
- Gaito, J., “Expected Mean Squares in Analysis of Variance Techniques,”, Psychological Reports, Vol. 7, 1960, pp. 3–10.
- Ganguli, M., “A Note on Nested Sampling,”, Sankhyā, Vol. 5, 1931, pp. 449–452.
- Gates, C. E., and Shive, C., “The Analysis of Variance of the S-stage Hierarchal Classification,”, Biometrics, Vol. 18, 1962, pp. 529–536.
- Gaylor, D. W., and Hartwell, T. D., “Expected Mean Squares for Nested Classifications,”, Biometrics, Vol. 25, No. 2, June 1969, pp. 427–430.
- Gaylor, D. W., and Hopper, F. N., “Estimating the Degrees of Freedom for Linear Combinations of Mean Squares by Satterthwaite's Formula,”, Technometrics, Vol. 11, No. 4, November 1969, pp. 691–706.
- Gaylor, D. W., Lucas, H. L., and Anderson, R. L., “Calculation of Expected Mean Squares by the Abbreviated Doolittle and Square Root Methods,”, Biometrics, Vol. 26, No. 4, December 1970, pp. 641–656.
- Gower, J. C., “Variance Component Estimation for Unbalanced Hierarchal Classifications,”, Biometrics, Vol. 18, 1962, pp. 537–542.
- Hartley, H. O., “Expectation, Variances and Co-variances of ANOVA Mean Squares by ‘Synthesis,’”, Biometrics, Vol. 23, No. 1, March 1967, pp. 105–114, 853.
- Hicks, C. R., “Fundamentals of Analysis of Variance,”, Industrial Quality Control, Vol. 13, 1956, No. 3, pp. 5–8, No. 4, pp. 13–16.
- Howe, R. B., and Myers, R. H., “An Alternative to Satterthwaite's Test Involving Positive Linear Combinations of Variance Components,”, Journal of the American Statistical Association, Vol. 65, No. 329, March 1970, pp. 404–412.
- Hudson, J. D., and Krutchkoff, R. G., “A Monte Carlo Investigation of the Size and Power of Tests Employing Satterthwaite's Synthetic Mean Squares,”, Biometrika, Vol. 55, No. 2,1968, pp. 431–433.
- Mahamunulu, D. M., “Sampling Variances of the Estimates of Variance Components in the Unbalanced 3-Way Nested Classification,” Annals of Mathematical Statistics, Vol. 34, 1963, pp. 521–527.
- Rao, J. N. K., “On Expectations, Variances, and Co-variances of ANOVA Mean Squares by ‘Synthesis,’”, Biometrics, Vol. 24, No. 4, December 1968, pp. 963–978.
- Satterthwaite, F. E., “Synthesis of Variance,”, Psychometrika, Vol. 6, 1941, pp. 309–316.
- Satterthwaite, F. E., “An Approximate Distribution of Estimates of Variance Components,”, Biometrics Bulletin, Vol. 2, 1946, pp. 110–114.
- Searle, S. R., and Fawcett, R. F., “Expected Mean Squares in Variance Components Models having Finite Populations,”, Biometrics, Vol. 26, No. 2, June 1970, pp. 243–254.
- Schultz, E. F., Jr., “Rules of Thumb for Determining Expectations of Mean Squares in Analysis of Variance,”, Biometrics, Vol. 11, No. 2, June 1955, pp. 123–135.
- Smith, H., “The Analysis of Data from a Designed Experiment,”, Journal of Quality Technology, Vol. 1, No. 4, October 1969, pp. 259–263.
- Tietjen, G. L., and Moore, R. H., “On Testing Significance of Components of Variance in the Unbalanced Nested Analysis of Variance,”, Biometrics, Vol. 24, No. 2, June 1968, pp. 423–429.
Books
- Anderson, R. L., and Bancroft, T. A., Statistical Theory in Research, McGraw-Hill, New York, 1952, pp. 327–330.
- Bennett, C. A., and Franklin, N. L., Statistical Analysis in Chemistry and the Chemical Industry, John Wiley & Sons, Inc., New York, 1954, Chapter 7.
- Brownlee, K., Statistical Theory and Methodology in Science and Engineering, First Edition, John Wiley & Sons, New York, 1960, Chapter 13.
- Hicks, C. R., Fundamental Concepts in Design of Experiments, Holt, Rinehart, and Winston, New York, 1964, pp. 153–163.
- Ostle, B., Statistics in Research, Second Edition, Iowa State University Press, Ames, Iowa, 1963, Chapters 11 and 12.
- Scheffé, H., Analysis of Variance, John Wiley & Sons, Inc., New York, 1959, pp. 247–248, 284–289.
- Searle, S. R., Linear Models, John Wiley & Sons, New York, 1971, pp. 411–413.
- Steel, R. D. G., and Torrie, J., Principles and Procedures of Statistics, McGraw-Hill, New York, 1960, Chapter 11.
- Winer, B., Statistical Principles in Experimental Design, McGraw-Hill, New York, 1962, Chapter 5.