Design of experiments: Difference between revisions

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The prototype of the thinking of a statistician considering the design of an experiment was exemplified by 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 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.

planning statistical research -- survey sampling

back to Statistics -- statistical theory

Links:

R. A. Fisher

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 The prototype of the thinking of a statistician considering the design of an experiment was exemplified by [[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 model]]s have encompassed and surpassed the cases that concerned early writers. Today, the theory rests on advanced topics in [[Abstract Algebra|abstract algebra]] and [[combinatorics]].
+: [[planning statistical research]] -- [[survey sampling]]
-'''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.
+back to [[Statistics]] -- [[statistical theory]]
+Links:
+*[http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Fisher.html R. A. Fisher]
-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]].
-: [[Planning Research]] -- [[Survey Sampling]]
-back to [[Statistics]] -- [[Statistical Theory]]
-Info about R. A. Fisher see:
-http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Fisher.html