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| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| Analysis of variance | 7/7 | https://en.wikipedia.org/wiki/Analysis_of_variance | reference | science, encyclopedia | 2026-05-05T09:48:53.349210+00:00 | kb-cron |
== References == 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. Bailey, R. A. (2008). Design of Comparative Experiments. Cambridge University Press. ISBN 978-0-521-68357-9. Pre-publication chapters are available on-line. Belle, Gerald van (2008). Statistical rules of thumb (2nd ed.). Hoboken, N.J: Wiley. ISBN 978-0-470-14448-0. Cochran, William G.; Cox, Gertrude M. (1992). Experimental designs (2nd ed.). New York: Wiley. ISBN 978-0-471-54567-5. Cohen, Jacob (1988). Statistical power analysis for the behavior sciences (2nd ed.). Routledge ISBN 978-0-8058-0283-2 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. Cox, David R. (1958). Planning of experiments. Reprinted as ISBN 978-0-471-57429-3 Cox, David R. (2006). Principles of statistical inference. Cambridge New York: Cambridge University Press. ISBN 978-0-521-68567-2. Freedman, David A.(2005). Statistical Models: Theory and Practice, Cambridge University Press. ISBN 978-0-521-67105-7 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. 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. Hinkelmann, Klaus & Kempthorne, Oscar (2008). Design and Analysis of Experiments. Vol. I and II (Second ed.). Wiley. ISBN 978-0-470-38551-7. Howell, David C. (2002). Statistical methods for psychology (5th ed.). Pacific Grove, CA: Duxbury/Thomson Learning. ISBN 978-0-534-37770-0. Kempthorne, Oscar (1979). The Design and Analysis of Experiments (Corrected reprint of (1952) Wiley ed.). Robert E. Krieger. ISBN 978-0-88275-105-4. Lehmann, E.L. (1959) Testing Statistical Hypotheses. John Wiley & Sons. Montgomery, Douglas C. (2001). Design and Analysis of Experiments (5th ed.). New York: Wiley. ISBN 978-0-471-31649-7. Moore, David S. & McCabe, George P. (2003). Introduction to the Practice of Statistics (4e). W H Freeman & Co. ISBN 0-7167-9657-0 Rosenbaum, Paul R. (2002). Observational Studies (2nd ed.). New York: Springer-Verlag. ISBN 978-0-387-98967-9 Scheffé, Henry (1959). The Analysis of Variance. New York: Wiley. 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. 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.
== Further reading == Freedman, David A.; Pisani, Robert; Purves, Roger (2007). Statistics (4th ed.). W.W. Norton & Company. ISBN 978-0-393-92972-0. 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. 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) Christensen, Ronald (2002). Plane Answers to Complex Questions: The Theory of Linear Models (Third ed.). New York: Springer. ISBN 978-0-387-95361-8. 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. Cox, D.R.; Reid, Nancy (2000). The Theory of the Design of Experiments. doi:10.1201/9781420035834. ISBN 978-0-429-12628-4. 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. Lentner, Marvin; Bishop, Thomas (1993). Experimental design and analysis (2nd ed.). Blacksburg, VA: Valley Book Company. ISBN 978-0-9616255-2-8. Phadke, Madhav S. (1989). Quality Engineering using Robust Design. New Jersey: Prentice Hall PTR. ISBN 978-0-13-745167-8. 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. 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. 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. 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.
== External links ==
SOCR: ANOVA Activity 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) NIST/SEMATECH e-Handbook of Statistical Methods, section 7.4.3: "Are the means equal?" Analysis of variance: Introduction