References

Afifi, A. A. and Azen, S. P. (1972), Statistical Analysis: A Computer-Oriented Approach, New York: Academic Press.

Beale, E. M. L. (1972), "A Derivation of Conjugate Gradients," in Numerical Methods for Nonlinear Optimization, ed. F. A. Lootsma, London: Academic Press.

Browne, M. W. (1982), "Covariance Structures," in Topics in Multivariate Analyses, ed. D. M. Hawkins, New York: Cambridge University Press.

Dennis, J. E., Gay, D. M., and Welsch, R. E. (1981), "An Adaptive Nonlinear Least-Squares Algorithm," ACM Transactions on Mathematical Software, 7, 348–368.

Dennis, J. E. and Mei, H. H. W. (1979), "Two New Unconstrained Optimization Algorithms Which Use Function and Gradient Values," Journal of Optimization Theory and Applications, 28, 453–482.

Dunnett, C. W. (1980), "Pairwise Multiple Comparisons in the Unequal Variance Case," Journal of the American Statistical Association, 75, 796–800.

Edwards, D. and Berry, J. J. (1987), "The Efficiency of Simulation-Based Multiple Comparisons," Biometrics, 43, 913–928.

Eskow, E. and Schnabel, R. B. (1991), "Algorithm 695: Software for a New Modified Cholesky Factorization," Transactions on Mathematical Software, 17(3), 306–312.

Fox, J. (1987), "Effect Displays for Generalized Linear Models," in Sociological Methodology, ed. C. C. Clogg, American Sociological Association, Washington DC, 347–361.

Fletcher, R. (1987), Practical Methods of Optimization, Second Edition, Chichester: John Wiley & Sons.

Frankel, S. A. (1961), "Statistical Design of Experiments for Process Development of MBT," Rubber Age, 89, 453.

Games, P. A. and Howell, J. F. (1976), "Pairwise Multiple Comparison Procedures with Unequal ’s and/or Variances: A Monte Carlo Study," Journal of Educational Statistics, 1, 113–125.

Gay, D. M. (1983), "Subroutines for Unconstrained Minimization," ACM Transactions on Mathematical Software, 9, 503–524.

Guirguis, G. H. and Tobias, R. D. (2004), "On the Computation of the Distribution for the Analysis of Means," Communications in Statistics: Simulation and Computation, 33, 861–888.

Hastie, T., Tibshirani, R., and Friedman, J. (2001), The Elements of Statistical Learning, New York: Springer-Verlag.

Holm, S. (1979), "A Simple Sequentially Rejective Multiple Test Procedure," Scandinavian Journal of Statistics, 6, 65–70.

Hsu, J. C. (1992), "The Factor Analytic Approach to Simultaneous Inference in the General Linear Model," Journal of Computational and Graphical Statistics, 1, 151–168.

Hsu, J. C. (1996), Multiple Comparisons. Theory and Methods, London: Chapman & Hall.

Hsu, J. C. and Peruggia, M. (1994), "Graphical Representation of Tukey’s Multiple Comparison Method," Journal of Computational and Graphical Statistics, 3: 143–161.

Kenward, M. G. and Roger, J. H. (1997), "Small Sample Inference for Fixed Effects from Restricted Maximum Likelihood," Biometrics, 53, 983–997.

Kramer, C. Y. (1956), "Extension of Multiple Range Tests to Group Means with Unequal Numbers of Replications," Biometrics, 12, 309–310.

Kutner, M. H. (1974), "Hypothesis Testing in Linear Models (Eisenhart Model)," American Statistician, 28, 98–100.

Moré, J. J. (1978), "The Levenberg-Marquardt Algorithm: Implementation and Theory," in Lecture Notes in Mathematics 630, ed. G.A. Watson, Berlin-Heidelberg-New York: Springer Verlag.

Moré, J. J. and Sorensen, D. C. (1983), "Computing a Trust-Region Step," SIAM Journal on Scientific and Statistical Computing, 4, 553–572.

Myers, R. H. (1976), Response Surface Methodology, Blacksburg VA: Virginia Polytechnic Institute and State University.

Nelson, P. R. (1982), "Exact Critical Points for the Analysis of Means," Communications in Statistics, 11, 699–709.

Nelson, P. R. (1991), "Numerical Evaluation of Multivariate Normal Integrals with Correlations ," The Frontiers of Statistical Scientific Theory & Industrial Applications, 97–114.

Nelson, P. R. (1993), "Additional Uses for the Analysis of Means and Extended Tables of Critical Values," Technometrics, 35, 61–71.

Ott, E. R. (1967), "Analysis of Means—A Graphical Procedure," Industrial Quality Control, 101–109. Reprinted in Journal of Quality Technology, 15 (1983), 10–18.

Polak, E. (1971), Computational Methods in Optimization, New York: Academic Press.

Powell, J. M. D. (1977), "Restart Procedures for the Conjugate Gradient Method," Mathematical Programming, 12, 241–254.

Powell, J. M. D. (1978a), "A Fast Algorithm for Nonlinearly Constraint Optimization Calculations," in Numerical Analysis, Dundee 1977, Lecture Notes in Mathematics 630, ed. G. A. Watson, Berlin: Springer-Verlag, 144–175.

Powell, J. M. D. (1978b), "Algorithms for Nonlinear Constraints That Use Lagrangian Functions," Mathematical Programming, 14, 224–248.

Powell, J. M. D. (1982a), "Extensions to Subroutine VF02AD," in Systems Modeling and Optimization, Lecture Notes in Control and Information Sciences 38, ed. R. F. Drenick and F. Kozin, Berlin: Springer-Verlag, 529–538.

Powell, J. M. D. (1982b), "VMCWD: A Fortran Subroutine for Constrained Optimization," DAMTP 1982/NA4, Cambridge, England.

Royen, T. (1989), "Generalized Maximum Range Tests for Pairwise Comparisons of Several Populations," Biometrical Journal, 31, 905–929.

Shaffer, J. P. (1986), "Modified Sequentially Rejective Multiple Test Procedures," Journal of the American Statistical Association, 81, 329–335.

Silvapulle, M. J. and Sen, P. K. (2004), Constrained Statistical Inference: Order, Inequality, and Shape Constraints, New York: John Wiley & Sons.

Tamhane, A. C. (1979), "A Comparison of Procedures for Multiple Comparisons of Means with Unequal Variances," Journal of the American Statistical Association, 74, 471–480.

Westfall, P. H. (1997), "Multiple Testing of General Contrasts Using Logical Constraints and Correlations," Journal of the American Statistical Association, 92, 299–306.

Westfall, P. H., Tobias, R. D., Rom, D., Wolfinger, R. D., and Hochberg, Y. (1999), Multiple Comparisons and Multiple Tests Using the SAS System, Cary, NC: SAS Institute Inc.

Westfall, P. J. and Young, S. S. (1993), Resampling-Based Multiple Testing, New York: John Wiley & Sons.

Winer, B. J. (1971), Statistical Principles in Experimental Design, Second Edition, New York: McGraw-Hill.