Designing Experiments: Difference between revisions

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+#REDIRECT [[Experimental_design]]
-back to [[Statistics]] -- [[Statistical Theory]]
-: [[Planning Research]] -- [[Survey Sampling]]
-The prototype of the thinking of a statistician considering the design of an experiment was exemplified by [http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Fisher.html Sir Ronald A. Fisher]. He described how to test the hypothesis that a certain lady could distinguish by flavor alone whether the milk or the tea was first placed in the cup. This sounds like a frivolous application, but in fact, it allowed him to illustrate the most important ideas of experimental design.
-'''Design of Experiments''' was built on the foundation of the [[ANOVA|Analysis of variance]], a collection of models in which the observed variance is partitioned into components due to different factors which are estimated and/or tested.
-Developments of the theory of [[Linear Models]] have encompassed and surpassed the cases that concerned early writers. Today, the theory rests on advanced topics in [[Abstract Algebra]] and [[Combinatorics]].