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ANOVA Books Intros Keppel, Geoffrey (1991), Design and Analysis: A Researcher’s Handbook (3 rd ed.), Englewood Cliffs, NY: Prentice Hall. Great intro,

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Presentation on theme: "ANOVA Books Intros Keppel, Geoffrey (1991), Design and Analysis: A Researcher’s Handbook (3 rd ed.), Englewood Cliffs, NY: Prentice Hall. Great intro,"— Presentation transcript:

1 ANOVA Books Intros Keppel, Geoffrey (1991), Design and Analysis: A Researcher’s Handbook (3 rd ed.), Englewood Cliffs, NY: Prentice Hall. Great intro, especially for non-quant people; i.e., lots of good verbal explanations More recent: Keppel, Geoffrey and Thomas D. Wickens (2004), Design and Analysis: A Researcher’s Handbook (4 th ed.), Englewood Cliffs, NY: Prentice Hall. Iversen, Gudmund R. and Helmut Norpoth (19xx), Analysis of Variance, Sage. Succinct (I LOVE these little green Sage paperback primers!) B. Hays, William L. (1988), Statistics (4 th ed.), NY: Holt, Rinehart & Winston. Kirk, Roger (1982), Experimental design: Procedures for the Behavioral sciences, Belmont, CA: Brooks/Cole Publishing Co. Snedecor, George W. and William G. Cochran (1980), Statistical Methods, (7 th ed.), Ames, IA: Iowa State University Press. Scheffé, Henry (1959), The Analysis of Variance, NY: Wiley. A little more “math-stat-y” (harder for some) Also: Iacobucci, Dawn (1994). “Analysis of Experimental Data,” in Richard Bagozzi (ed.), Principles of Marketing Research, Cambridge, MA: Blackwell, Inspired, what can I say. If you can’t find it, me and I’ll send you a copy.

2 ANCOVA (Analysis of Covariance) Edwards, Allen L. (1979), Multiple Regression and the Analysis of Variance and Covariance, NY: Freeman. Wildt, A. R., and Ahtola, O. (1978), Analysis of Covariance, Beverly Hills, CA: Sage Maxwell, Scott E., Harold D. Delaney, and Charles A. Dill (1984), “Another Look at ANCOVA Versus Blocking,” Psych Bull, 95 (1),

3 Experimental Design Books Classics and reviewers will take these as high credibility: Box, George E. P., J. Stuart Hunter, and William G. Hunter (2005), Statistics for Experimenters: Design, Innovation, and Discovery 2 nd ed., New York: Wiley. Box, George E. P., William G. Hunter and J. Stuart Hunter (1978), Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building, NY: Wiley. Cochran, William G. and Gertrude M. Cox (1957), Experimental Designs, NY: Wiley. Cox, D. R. (1958), Planning of Experiments, NY: Wiley. Hicks, Charles R. (1982), Fundamental Concepts in the Design of Experiments 3 rd ed., New York: CBS College Publishing. Snedecor, George W. and William G. Cochran (1980) Statistical Methods 7 th ed., Ames, IA: The Iowa State University Press. Winer, B. J., Donald R. Brown, Kenneth M. Michels (1991), Statistical Principles in Experimental Design 3 rd ed., NY: McGraw-Hill.

4 Experimental Design Books Also very good: Berger, Paul D. and Robert W. Maurer (2002), Experimental Design: With Applications in Management, Engineering, and the Sciences, Belmont, CA: Wadsworth. Brown, Steven R. and Lawrence E. Melamed (1990), Experimental Design and Analysis, Newbury Park, CA: Sage. John, Peter W. M. (1971), Statistical Design and Analysis of Experiments, NY: Macmillan. Kirk, Roger E. (1982), Experimental Design: Procedures for the Behavioral Sciences (2 nd ed.), Belmont, CA: Brooks/Cole (pp ). Rosenthal, Robert, and Ralph L. Rosnow (1991) Essentials of Behavioral Research: Methods and Data Analysis 2 nd ed., Boston, MA: McGraw-Hill. Spector, Paul E. (1981), Research Designs, Newbury Park, CA: Sage.

5 Experimental Design: Special Topics Davison, Mark L. and Anu R. Sharma (1990), “Parametric Statistics and Levels of Measurement: Factorial Designs and Multiple Regression,” Psychological Bulletin, 107 (3) Gardner, David M. and Russell W. Belk (1980), A Basic Bibliography on Experimental Design in Marketing, Bibliography Series No.37, Chicago: AMA. Hinkelmann, Klaus and Oscar Kempthorne (1994), Design and Analysis of Experiments, Volume 1: Introduction to Experimental Design, NY: Wiley. John, J. A. (1987), Cyclic Designs, London: Chapman & Hall. Maxwell, Scott E. and Harold D. Delaney (1990) Designing Experiments and Analyzing Data: A Model Comparison Perspective, Belmont, CA: Wadsworth. Pedhazur, Elazar J. and Liora Pedhazur Schmelkin (1991), Measurement, Design, and Analysis: An Integrated Approach, Hillsdale, NJ: Erlbaum. Tabachnick, Barbara G. and Linda S. Fidell (2001), Computer-Assisted Research Design and Analysis, Needham Heights, MA: Allyn & Bacon.

6 Experimental Designs Quasi-Experimental Design: Campbell, Donald T. and Julian C. Stanley (1963) Experimental and Quasi-Experimental Designs for Research, Chicago, IL: Rand McNally. Cook, Thomas D. and Donald T. Campbell (1979) Quasi-Experimentation: Design & Analysis Issues for Field Settings, Boston, MA: Houghton Mifflin. Within-Subjects Designs: Girden, Ellen R. (1992), ANOVA: Repeated Measures, Newbury Park, CA: Sage. Greenwald, Anthony G. (1976), “Within-Subjects Designs: To Use or Not To Use?,” Psychological Bulletin, 83 (2), Random vs. Fixed Factors and Designs: Jackson, Sally and Dale E. Brashers. (1994), Random Factors in ANOVA, Thousand Oaks, CA: Sage. & my review of that book in the Journal of Marketing Research 32 (May), Jaccard, James (1998), Interaction Effects in Factorial Analysis of Variance, Thousand Oaks, CA: Sage.

7 Unbalanced designs, missing data: Little, Roderick J. A. and Donald B. Rubin (1987), Statistical Analysis with Missing Data, NY: Wiley. Schendel, U. (1989), Sparse Matrices: Numerical Aspects with Applications for Scientists and Engineers, NY: Wiley. Searle, S. R. (1987), Linear Models for Unbalanced Data, New York: Wiley. Iacobucci, Dawn (1995), “The Analysis of Variance for Unbalanced Data,” in David W. Stewart and Naufel J. Vilcassim (eds.), 1995 AMA Winter Educators’ Conference: Marketing Theory and Applications, 6, Chicago: AMA, Sampling: Kish, Leslie (1965), Survey Sampling, NY: Wiley. Thompson, Steven K. (1992), Sampling, NY: Wiley. References: Unbalanced Data (Unequal Cell n’s)

8 Almquist, Eric and Gordon Wyner (2001), “Boost Your Marketing ROI with Experimental Design,” Harvard Business Review, 79 (9), Anderson, Eric T. and Duncan Simester (2011), “A Step-by-Step Guide to Smart Business Experiments,” Harvard Business Review, 89 (3), Experimental Design: Managerial Articles

9 Both of these books have excellent sections on matrix algebra: Kirk, Roger E. (1982), Experimental Design: Procedures for the Behavioral Sciences (2 nd ed.), Belmont, CA: Brooks/Cole (pp ). Morrison, D. F. (1976), Multivariate Statistical Methods (2 nd ed.), NY: McGraw-Hill (pp.37-78). Matrix Algebra: Books

10 MANOVA (Multivariate ANOVA) Books Bray, James H. and Scott E. Maxwell (1985), Multivariate Analysis of Variance, Sage. Manly, Bryan F. J. (1986), Multivariate Statistical Methods: A Primer, London & NY: Chapman and Hall. Chapters Harris (1985), “Chapter 3: Hotelling’s T 2 : Tests on One or Two Mean Vectors,” in his book, A Primer of Multivariate Statistics. Most general “multivariate stats” books cover MANOVA also, albeit briefly.

11 MANOVA Articles Bird, Kevin D. and Dusan Hadzi-Pavlovic (1983), “Simultaneous Test Procedures and the Choice of a Test Statistic in MANOVA,” Psychological Bulletin, 93 (1), Hakstian, A. Ralph, J. Christian Roed, and John C. Lind (1979), “Two-Sample T 2 Procedure and the Assumption of Homogeneous Covariance Matrices,” Psychological Bulletin, 86 (6),

12 Cohen, Jacob (1992), “A Power Primer,” Psychological Bulletin, 112 (1), Holland, Burt S. and Margaret DiPonzio Copenhaver (1988), “Improved Bonferroni-Type Multiple Testing Procedures,” Psychological Bulletin, 104 (1), Keselman, H. J., Paul A. Games, and Joanne C. Rogan (1980), “Type I and Type II Errors in Simultaneous and Two-Stage Multiple Comparison Procedures,” Psychological Bulletin, 98 (2), Kraemer, Helena Chmura and Sue Thiemann (1987), How Many Subjects?: Statistical Power Analysis in Research, Newbury Park, CA: Sage. Levine, Douglas W. and William P. Dunlap (1982), “Power of the F Test With Skewed Data: Should One Transform or Not?,” Psychological Bulletin, 92, Maxwell, Scott E. and David A. Cole (1991), “A Comparison of Methods for Increasing Power in Randomized Between-Subjects Designs,” Psychological Bulletin, 110 (2), Ryan, T. A. (1980), “Comment on ‘Protecting the Overall Rate of Type I Errors for Pairwise Comparisons With an Omnibus Test Statistic’,” Psychological Bulletin, 98 (2), Wahlsten, Douglas (1991), “Sample Size to Detect a Planned Contrast and a One Degree-of-Freedom Interaction Effect,” Psychological Bulletin, 110 (3), References: Power (Re: Sample Size)

13 Chow, Siu L. (1988), “Significance Test or Effect Size?,” Psychological Bulletin, 103 (1), O’Grady, Kevin E. (1982), “Measures of Explained Variance: Cautions and Limitations,” Psychological Bulletin, 92 (3), Iacobucci, Dawn (2005), “On p-Values,” Journal of Consumer Research, 32 (1), References: Effect Sizes

14 SAS Info tm#glm_toc.htm tm#glm_toc.htm SAS Institute (1990), SAS/STAT: User's Guide, Vol.2., Ver.6, 4 th ed., Cary, NC: SAS Institute Inc. Freund, R. J., & R. C. Littell (1981), SAS for Linear Models: A Guide to the ANOVA and GLM procedures, Cary, NC: SAS Institute. SPSSX: Norusis, M. J. (1985), SPSSx: Advanced Statistics Guide, Chicago, IL: SPSS.

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