54 lines
5.8 KiB
Markdown
54 lines
5.8 KiB
Markdown
---
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title: "Analysis of variance"
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chunk: 7/7
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source: "https://en.wikipedia.org/wiki/Analysis_of_variance"
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category: "reference"
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tags: "science, encyclopedia"
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date_saved: "2026-05-05T09:48:53.349210+00:00"
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instance: "kb-cron"
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---
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== References ==
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Anscombe, F. J. (1948). "The Validity of Comparative Experiments". Journal of the Royal Statistical Society. Series A (General). 111 (3): 181–211. doi:10.2307/2984159. JSTOR 2984159. MR 0030181.
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Bailey, R. A. (2008). Design of Comparative Experiments. Cambridge University Press. ISBN 978-0-521-68357-9. Pre-publication chapters are available on-line.
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Belle, Gerald van (2008). Statistical rules of thumb (2nd ed.). Hoboken, N.J: Wiley. ISBN 978-0-470-14448-0.
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Cochran, William G.; Cox, Gertrude M. (1992). Experimental designs (2nd ed.). New York: Wiley. ISBN 978-0-471-54567-5.
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Cohen, Jacob (1988). Statistical power analysis for the behavior sciences (2nd ed.). Routledge ISBN 978-0-8058-0283-2
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Cohen, Jacob (1992). "Statistics a power primer". Psychological Bulletin. 112 (1): 155–159. doi:10.1037/0033-2909.112.1.155. PMID 19565683. S2CID 14411587.
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Cox, David R. (1958). Planning of experiments. Reprinted as ISBN 978-0-471-57429-3
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Cox, David R. (2006). Principles of statistical inference. Cambridge New York: Cambridge University Press. ISBN 978-0-521-68567-2.
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Freedman, David A.(2005). Statistical Models: Theory and Practice, Cambridge University Press. ISBN 978-0-521-67105-7
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Gelman, Andrew (2005). "Analysis of variance? Why it is more important than ever". The Annals of Statistics. 33: 1–53. arXiv:math/0504499. doi:10.1214/009053604000001048. S2CID 13529149.
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Gelman, Andrew (2008). "Variance, analysis of". The new Palgrave dictionary of economics (2nd ed.). Basingstoke, Hampshire New York: Palgrave Macmillan. ISBN 978-0-333-78676-5.
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Hinkelmann, Klaus & Kempthorne, Oscar (2008). Design and Analysis of Experiments. Vol. I and II (Second ed.). Wiley. ISBN 978-0-470-38551-7.
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Howell, David C. (2002). Statistical methods for psychology (5th ed.). Pacific Grove, CA: Duxbury/Thomson Learning. ISBN 978-0-534-37770-0.
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Kempthorne, Oscar (1979). The Design and Analysis of Experiments (Corrected reprint of (1952) Wiley ed.). Robert E. Krieger. ISBN 978-0-88275-105-4.
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Lehmann, E.L. (1959) Testing Statistical Hypotheses. John Wiley & Sons.
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Montgomery, Douglas C. (2001). Design and Analysis of Experiments (5th ed.). New York: Wiley. ISBN 978-0-471-31649-7.
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Moore, David S. & McCabe, George P. (2003). Introduction to the Practice of Statistics (4e). W H Freeman & Co. ISBN 0-7167-9657-0
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Rosenbaum, Paul R. (2002). Observational Studies (2nd ed.). New York: Springer-Verlag. ISBN 978-0-387-98967-9
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Scheffé, Henry (1959). The Analysis of Variance. New York: Wiley.
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Stigler, Stephen M. (1986). The history of statistics : the measurement of uncertainty before 1900. Cambridge, Mass: Belknap Press of Harvard University Press. ISBN 978-0-674-40340-6. OCLC 1422544327.
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Wilkinson, Leland (August 1999). "Statistical methods in psychology journals: Guidelines and explanations". American Psychologist. 54 (8): 594–604. doi:10.1037/0003-066X.54.8.594.
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== Further reading ==
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Freedman, David A.; Pisani, Robert; Purves, Roger (2007). Statistics (4th ed.). W.W. Norton & Company. ISBN 978-0-393-92972-0.
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Tabachnick, Barbara G.; Fidell, Linda S. (2006). Using Multivariate Statistics. Pearson International Edition (5th ed.). Needham, MA: Allyn & Bacon, Inc. ISBN 978-0-205-45938-4.
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Wichura, Michael J. (2006). The coordinate-free approach to linear models. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press. pp. xiv+199. ISBN 978-0-521-86842-6. MR 2283455.{{cite book}}: CS1 maint: location missing publisher (link)
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Christensen, Ronald (2002). Plane Answers to Complex Questions: The Theory of Linear Models (Third ed.). New York: Springer. ISBN 978-0-387-95361-8.
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Caliński, Tadeusz; Kageyama, Sanpei (2000). Block Designs: A Randomization Approach. Lecture Notes in Statistics. Vol. 150. doi:10.1007/978-1-4612-1192-1. ISBN 978-0-387-98578-7.
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Cox, D.R.; Reid, Nancy (2000). The Theory of the Design of Experiments. doi:10.1201/9781420035834. ISBN 978-0-429-12628-4.
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Hettmansperger, T. P.; McKean, J. W. (1998). Robust nonparametric statistical methods. Kendall's Library of Statistics. Vol. 5 (1st ed.). New York: A Hodder Arnold Publication. pp. xiv+467. ISBN 978-0-340-54937-7. MR 1604954.
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Lentner, Marvin; Bishop, Thomas (1993). Experimental design and analysis (2nd ed.). Blacksburg, VA: Valley Book Company. ISBN 978-0-9616255-2-8.
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Phadke, Madhav S. (1989). Quality Engineering using Robust Design. New Jersey: Prentice Hall PTR. ISBN 978-0-13-745167-8.
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Box, G. E. P. (1954). "Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, II. Effects of Inequality of Variance and of Correlation Between Errors in the Two-Way Classification". The Annals of Mathematical Statistics. 25 (3): 484. doi:10.1214/aoms/1177728717.
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Box, G. E. P. (1954). "Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification". The Annals of Mathematical Statistics. 25 (2): 290. doi:10.1214/aoms/1177728786.
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Box, G. E. P. (1953). "Non-Normality and Tests on Variances". Biometrika. 40 (3/4): 318–335. doi:10.1093/biomet/40.3-4.318. JSTOR 2333350.
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Fisher, R. A. (April 1921). "Studies in crop variation. I. An examination of the yield of dressed grain from Broadbalk". The Journal of Agricultural Science. 11 (2): 107–135. doi:10.1017/S0021859600003750. hdl:2440/15170. CORE output ID 162101431.
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== External links ==
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SOCR: ANOVA Activity
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Examples of all ANOVA and ANCOVA models with up to three treatment factors, including randomized block, split plot, repeated measures, and Latin squares, and their analysis in R (University of Southampton)
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NIST/SEMATECH e-Handbook of Statistical Methods, section 7.4.3: "Are the means equal?"
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Analysis of variance: Introduction |