方差分析的参考
     

[1]    M. Abramowitz and I.A. Stegun (1970). Handbook of Mathematical functions. U.S. Department of Commerce, National of Standards.

[2]    J. Barnard (1978). "Probability Integral of the Normal Range," Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 27, No. 2, 197-198.

[3]    R.E. Bechhofer and C.W. Dunnett (1988). "Percentage points of multivariate Student t distributions," Selected Tables in Mathematical Studies, Vol.11. American Mathematical Society.

[4]    W.H. Beyer (1987) CRC Standard Mathematical Tables, 28th ed., FL: CRC Press, 462-463.

[5]    D.G. Bonett (2006). "Approximate confidence interval for standard deviation of nonnormal distributions," Computational Statistics & Data Analysis, 50, 775-782.

[6]    D.G. Bonett (2006). "Robust Confidence Intervals for a Ratio of Standard Deviations," Applied Psychological Measurements, 30, 5, 432-439.

[7]    M.B. Brown and A.B. Forsythe (1974). "Robust Tests for the Equality of Variance,"Journal of the American Statistical Association, 69, 364-367.

[8]    H.L. Harter (1970). Order Statistics and Their Uses in Testing and Estimation, Vol.1. U.S. Government Printing Office.

[9]    A.J. Hayter (1984). "A proof of the conjecture that the Tukey-Kramer multiple comparisons procedure is conservative," Annals of Statistics, 12, 61-75.

[10]  D.L. Heck (1960). "Charts of Some Upper Percentage Points of the Distribution of the Largest Characteristic Root," The Annals of Statistics, 625-642.

[11]  C.R. Hicks (1982). Fundamental Concepts in the Design of Experiments, Third Edition. CBC College Publishing.

[12]  Y. Hochberg and A.C. Tamhane (1987). Multiple Comparison Procedures. John Wiley & Sons.

[13]  Y. Hochberg and G. Weiss, S. Hart (1982). "On graphical Procedure for Multiple Comparisons," Journal of the American Statistical Association, Vol. 77, No 380, 767-772.

[14]  J.C. Hsu (1984). "Constrained Two-Sided Simultaneous Confidence Intervals for Multiple Comparisons with the Best," Annals of Statistics, 12, 1136-1144.

[15]  J.C. Hsu (1996). Multiple Comparisons, Theory and methods. Chapman & Hall.

[16]  R. Johnson and D. Wichern (1992). Applied Multivariate Statistical Methods,Third Edition. Prentice Hall.

[17]  M.W.J. Layard (1973). "Robust large-sample tests for homogeneity of variances," Journal of the American Statistical Association, 68, 195-198.

[18]  H. Levene (1960). Contributions to Probability and Statistics. Stanford University Press, CA.

[19]  T.M. Little (1981). "Interpretation and Presentation of Result," HortScience, 19, 637-640.

[20]  R.E. Lund and J.R. Lund (1983). "Probabilities and Upper Quantiles for the Studentized Range," Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 32, No. 2, 204-210.

[21]  G.A. Milliken and D.E. Johnson (1984). Analysis of Messy Data, Volume I. Van Nostrand Reinhold.

[22]  D.C. Montgomery (1991). Design and Analysis of Experiments, Third Edition. John Wiley & Sons.

[23]  D. Morrison (1967). Multivariate Statistical Methods. McGraw-Hill.

[24]  M.K. Nakayama (2009). "Asymptotic Valid Single-Stage Multiple-Comparison Procedures," Journal of Statistical Planning and Inference, 139, 1348-1356.

[25]  L.S. Nelson (1974). "Factors for the Analysis of Means," Journal of Quality Technology, 6, 175-181.

[26]  L.S. Nelson (1983). "Exact Critical Values for Use with the Analysis of Means", Journal of Quality Technology, 15, 40-44.

[27]  P.R. Nelson (1983). "A Comparison of Sample Sizes for the Analysis of Means and the Analysis of Variance," Journal of Quality Technology, 15, 33-39.

[28]  J. Neter, W. Wasserman, and M.H. Kutner (1985). Applied Linear Statistical Models, Second Edition. Irwin, Inc.

[29]  R.A. Olshen (1973). "The conditional level of the F-test," Journal of the American Statistical Association, 68, 692-698.

[30]  E.R. Ott (1983). "Analysis of Means-A Graphical Procedure," Journal of Quality Technology, 15, 10-18.

[31]  E.R. Ott and E.G. Schilling (1990). Process Quality Control-Troubleshooting and Interpretation of Data, 2nd Edition. McGraw-Hill.

[32]  P.R. Ramig (1983). "Applications of the Analysis of Means," Journal of Quality Technology, 15, 19-25.

[33]  E.G. Schilling (1973). "A Systematic Approach to the Analysis of Means," Journal of Quality Technology, 5, 93-108, 147-159.

[34]  S.R. Searle, G. Casella, and C.E. McCulloch (1992). Variance Components. John Wiley & Sons.

[35]  N.R. Ullman (1989). "The Analysis of Means (ANOM) for Signal and Noise," Journal of Quality Technology, 21, 111-127.

[36]  E. Uusipaikka (1985). "Exact simultaneous confidence intervals for multiple comparisons among three or four mean values," Journal of the American Statistical Association, 80, 196-201.

[37]  B.J. Winer (1971). Statistical Principles in Experimental Design, Second Edition. McGraw-Hill.

其他资源

[38]  我们的网站 (www.minitab.com) 提供白皮书，介绍关于多重比较法的模拟和其他信息。

致谢

对俄亥俄州立大学统计学系的 Jason C. Hsu 在多重比较的设计与实现中给予的帮助，以及宾州州立大学统计学系的 James L. Rosenberger 在开发平衡方差分析、协方差分析以及一般线性模型过程中给予的帮助，我们表示衷心的感谢。