Recommended Statistics References for Analysis of Variance: ANOVA & MANOVA

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Bartlett, M.S. (1937), "Properties of Sufficiency and Statistical Tests," Proceedings of the Royal Society of London, Series A 160, 268 -282.

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

Erdman, L.W. (1946), "Studies to Determine if Antibiosis Occurs among Rhizobia," Journal of the American Society of Agronomy, 38, 251 -258.

Fisher, R.A. (1942), The Design of Experiments, Third Edition, Edinburgh: Oliver & Boyd.

Freund, R.J., Littell, R.C., and Spector, P.C. (1986), SAS System for Linear Models, 1986 Edition, Cary, NC: SAS Institute Inc.

Graybill, F.A. (1961), An Introduction to Linear Statistical Models, Volume I, New York: McGraw-Hill Book Co.

Henderson, C.R. (1953), "Estimation of Variance and Covariance Components," Biometrics, 9, 226 -252.

Levene, H. (1960), "Robust Tests for the Equality of Variance," in Contributions to Probability and Statistics, ed. I. Olkin, Palo Alto, CA: Stanford University Press, 278 -292.

Neter, J., Wasserman, W., and Kutner, M.H. (1990), Applied Linear Statistical Models: Regression, Analysis of Variance, and Experimental Designs, Homewood, IL: Richard D. Irwin, Inc.

O'Brien, R.G. (1979), "A General ANOVA Method for Robust Tests of Additive Models for Variances," Journal of the American Statistical Association, 74, 877 -880.

O'Brien, R.G. (1981), "A Simple Test for Variance Effects in Experimental Designs," Psychological Bulletin, 89(3), 570 -574.

Remington, R.D. and Schork, M.A. (1970), Statistics with Applications to the Biological and Health Sciences, Englewood Cliffs, NJ: Prentice-Hall, Inc.

Scheffe, H. (1959), The Analysis of Variance, New York: John Wiley & Sons, Inc.

Schlotzhauer, S.D. and Littell, R.C. (1987), SAS System for Elementary Statistical Analysis, Cary, NC: SAS Institute Inc.

Searle, S.R. (1971), Linear Models, New York: John Wiley & Sons, Inc.

Smith, W.G. (1951), Dissertation Notes on Canadian Sugar Factories, Ltd., Alberta, Canada: Taber.

Snedecor, G.W. and Cochran, W.G. (1967), Statistical Methods, Sixth Edition, Ames, IA: Iowa State University Press.

Steel, R.G.D. and Torrie, J.H. (1980), Principles and Procedures of Statistics, New York: McGraw-Hill Book Co

Conover, W.J. and Iman, R.L. (1981), "Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics," The American Statistician, 35, 124 -129.

Fisher, R.A. (1925), Statistical Methods for Research Workers, Edinburgh: Oliver & Boyd.

Freund, R.J., Littell, R.C., and Spector, P.C. (1991), SAS System for Linear Models, Cary, NC: SAS Institute Inc.

Graybill, F.A. (1976), Theory and Applications of the Linear Model, North Scituate, MA: Duxbury Press.

Hocking, R.R. (1984), Analysis of Linear Models, Monterey, CA: Brooks-Cole Publishing Co.

John, P. (1971), Statistical Design and Analysis of Experiments, New York: Macmillan Publishing Co.

Kennedy, W.J., Jr. and Gentle, J.E. (1980), Statistical Computing, New York: Marcel Dekker, Inc.

Kirk, R.E. (1968), Experimental Design: Procedures for the Behavioral Sciences, Monterey, CA: Brooks-Cole Publishing Co.

Mendenhall, W. (1968), Introduction to Linear Models and the Design and Analysis of Experiments, Belmont, CA: Duxbury Press.

Milliken, G.A. and Johnson, D.E. (1984), Analysis of Messy Data Volume I: Designed Experiments, Belmont, CA: Lifetime Learning Publications.

Ott, L. (1977), Introduction to Statistical Methods and Data Analysis, Second Edition, Belmont, CA: Duxbury Press.

Scheffe, H. (1959), The Analysis of Variance, New York: John Wiley & Sons, Inc.

Schlotzhauer, S.D. and Littell, R.C. (1997), SAS System for Elementary Statistical Analysis, Cary, NC: SAS Institute Inc.

Searle, S.R. (1971), Linear Models, New York: John Wiley & Sons, Inc.

Snedecor, G.W. and Cochran, W.G. (1980), Statistical Methods, Seventh Edition, Ames, IA: Iowa State University Press.

Steel R.G.D. and Torrie, J.H. (1980), Principles and Procedures of Statistics, Second Edition, New York: McGraw-Hill Book Co.

Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale, NJ. L.

Erlbaum Associates. Cortina, J. M. (2000). Effect size for ANOVA designs. Thousand

Oaks, CA: Sage Publications. Quantitative Applications in the Social Sciences series, no. 129.

Girden, E. R. (1992). ANOVA: Repeated Measures. Thousand Oaks, CA: Sage Publications. Quantitative Applications in the Social Sciences series no. 84.

Iverson, G. R. (1987). Analysis of variance. Thousand Oaks, CA: Sage Publications. Quantitative Applications in the Social Sciences series no. 1.

Jaccard, J. (1998). Interaction effects in factorial analysis of variance. Quantitative Applications in the Social Sciences Series No. 118. Thousand Oaks, CA: Sage Publications.

Jackson , S. (1994). Random factors in ANOVA. Thousand Oaks, CA: Sage Publications. Quantitative Applications in the Social Sciences series no. 98.

Levin, I. P. (1999). Relating statistics and experimental design: An introduction. Thousand Oaks, CA: Sage Publications. Quantitative Applications in the Social Sciences series, No. 125.

Rutherford, A. (2001). Introducing ANOVA and ANCOVA: A GLM approach. London: Sage Publications.

Turner, J. R. (2001). Introduction to analysis of variance: Design, analysis, and interpretation. Thousand Oaks, CA: Sage Publications.

Edwards, A. Experimental Design in Psychological Research, 4^th ed. New York: Holt, Rinehart & Winston, 1972.

Kirk, R. Experimental Designs: Procedures for the Behavioral Sciences. Belmont, Calif.: Brooks/Cole, 1968.

Rucci, A., and Tweney, R. “Analysis of Variance and the ‘Second Discipline’ of Scientific Psychology: A Historical Account.” Psychological Bulletin, 87 (1980), 166-184.

Cowles, M., and Davis, C. “On the Origins of the .05 Level of Statistical Significance.”

Psychological Bulletin, 89 (1982), 553-558.

Antony, N. M., Brown, T. A., & Barlow, D. H. (1992). Current perspectives on panic and panic disorder. Current Directions in Psychological Science, 1, 79-82.

Bray, J. H., & Maxwell, S. E. (1982). Analyzing and interpreting significant MANOVAs. Review of Educational Research, 52, 340-367.

Campbell, D. T., & Stanley, J. C. (1963). Experimental and quasi-experimental designs for research. Boston: Houghton Mifflin.

Cohen, J. (1977). Statistical power analysis for the behavioral sciences. San Diego, CA: Academic Press.

de Cani, J. S. (1984). Balancing Type I risk and loss of power in ordered Bonferroni procedures. Journal of Educational Psychology, 76, 1035-1037.

Fleiss, J. L. (1986). The design and analysis of clinical experiments. New York: Wiley. 

Green, P. E. (1978). Analyzing multivariate data. Hinsdale, IL: Dryden Press.

Grimm, L. (1993). Statistical applications for the behavioral sciences. New York: Wiley

Guilford, J. P. (1965) Fundamental statistics in psychology and education (4^th ed.). New York: MacGraw-Hill.

Holland, B.S., & Copenhaver, M.D. (1988). Improved Bonferroni-type multiple testing procedures. Psychological Bulletin, 104, 145-149

Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandanavian Journal of Statistics., 6, 65-70.

Huberty, C. J. (1984). Issues in the use and interpretation of discrimination analysis. Psychological Bulletin, 95, 156-171.

Huberty, C. J., & Morris, J. D. (1989). Multivariate analysis versus multiple univariate analyses. Psychological Bulletin, 105, 302-308.

Huberty, C. J., & Smith, J. D. (1982). The study of effects in MANOVA. Multivariate Behavioral Research, 17, 417-482.

Hummel, T. J., & Sligo, J. R. (1971) Empirical comparison of univariate and multivariate analysis of variance procedures. Psychological Bulletin, 76, 49-57.

Huynh, H., & Mandeville, G. K. (1979). Validity conditions in repeated measures designs. Psychological Bulletin, 86, 964-973.

Kaplan, R. M., & Saccuzzo, D. P. (1989). Psychological testing: Principles, applications, and applications (2^nd ed.).  Pacific Grove, CA: Brooks/Cole.

Kerlinger, F. N. (1986). Foundations of behavioral research (3^rd ed.). New York: Holt, Rinehart & Winston.

Keselman, H. J., Keselman, J. C. & Games, P. A. (1991). Maximum family wise Type I error rate: The least significant difference, Newman-Keuls, and other multiple comparison procedures. Psychological Bulletin, 110, 155-161.

Kleinbaum, D. G., Kupper, L. L., & Muller, K. E. (1988). Applied regression analysis and other multivariable methods (2^nd ed.).  Boston: PWS-KENT.

Larsen, R. J. (1984). Theory and measurement of affect intensity as an individual difference characteristic. Dissertation Abstracts International, 85, 2297B. (University Microfilms No. 84-22112)

Larsen, R. J., & Diener, E. (1987). Affect intensity as an individual differences characteristic: A review. Journal of Research in Personality, 21, 1-39. 

Maxwell, S. E., & Delaney, M. D.  (1990). Designing experiments and analyzing data: A model comparison perspective, Belmont, CA: Wadsworth.

Mendoza, J. L., & Graziano, W. G. (1982). The statistical analysis of dyadic social behavior: A multivariate approach. Psychological Bulletin, 92, 532-540.

Norusis, M. J. (1988). SPSS advanced statistics guide (2^nd ed.). Chicago: SPSS.

Olson, C. L. (1974). Comparative robustness of six tests in multivariate analysis of variance. Journal of the American Statistical Association, 69, 894-908.

Pedhazur, E. J. (1982). Multiple regression in behavioral research (2^nd ed.). Fort Worth, TX: Holt, Rinehart & Winston.

Ryan, T. A. (1959). Multiple comparisons in psychological research. Psychological Bulletin, 56, 26-47.

SAS Institute. (1990). SAS/STAT user’s guide (4^th ed.). Cary, NC: SAS Institute.

Seaman, M.A., Levin, J.R. & Serlin, R. (1991). New developments in pairwise multiple comparisons: Some powerful and practicable procedures. Psychological Bulletin, 110, 577-586.

Shaughnessy, J. J., & Zechmeister, E. B. (1990). Research methods in psychology(2^nd ed.). New York: McGraw-Hill.

Stevens, J. P. (1980). Power of the multivariate analysis of variance tests. Psychological Bulletin, 88, 728-737.

Stevens, J. (1986). Applied multivariate statistics for the social sciences. Hillsdale, NJ: Erlbaum.

Stevens, J. (1990). Intermediate statistics: A modern approach. Hillsdale, NJ: Erlbaum. 

Tatsuoka, M. M. (1971). Multivariate analysis: Techniques for educational and psychological research. New York: Wiley.

Wilkinson, L. (1975). Response variable hypothesis in the multivariate analysis of variance. Psychological Bulletin, 82, 408-412.

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