Editing Design of experiments (section)

==Experimental designs after Fisher==
Some efficient designs for estimating several main effects were found independently and in near succession by [[Raj Chandra Bose]] and [[Kishen|K. Kishen]] in 1940 at the [[Indian Statistical Institute]], but remained little known until the [[Plackett–Burman design]]s were published in ''[[Biometrika]]'' in 1946. About the same time, [[C. R. Rao]] introduced the concepts of [[orthogonal array]]s as experimental designs. This concept played a central role in the development of [[Taguchi methods]] by [[Genichi Taguchi]], which took place during his visit to Indian Statistical Institute in early 1950s. His methods were successfully applied and adopted by Japanese and Indian industries and subsequently were also embraced by US industry albeit with some reservations.

In 1950, [[Gertrude Mary Cox]] and [[William Gemmell Cochran]] published the book ''Experimental Designs,'' which became the major reference work on the design of experiments for statisticians for years afterwards.

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 [[linear algebra]], [[algebraic statistics|algebra]] and [[combinatorial design|combinatorics]].

As with other branches of statistics, experimental design is pursued using both [[frequentist statistics|frequentist]] and [[Bayesian experimental design|Bayesian]] approaches: In evaluating statistical procedures like experimental designs, [[frequentist statistics]] studies the [[sampling distribution]] while [[Bayesian statistics]] updates a [[Bayesian probability|probability distribution]] on the parameter space.

Some important contributors to the field of experimental designs are [[Charles Sanders Peirce|C. S. Peirce]], [[R. A. Fisher]], [[Frank Yates|F. Yates]], [[R. C. Bose]], [[A. C. Atkinson]], [[Rosemary A. Bailey|R. A. Bailey]], [[David R. Cox|D. R. Cox]], [[G. E. P. Box]], [[William G. Cochran|W. G. Cochran]], [[W. T. Federer]], [[V. V. Fedorov]], [[A. S. Hedayat]], [[Jack Kiefer (mathematician)|J. Kiefer]], [[Oscar Kempthorne|O. Kempthorne]], [[John Nelder|J. A. Nelder]], [[Andrej Pázman]], [[Friedrich Pukelsheim]], [[D. Raghavarao]], [[C. R. Rao]], [[Shrikhande S. S.]], [[Jagdish N. Srivastava|J. N. Srivastava]], [[William J. Studden]], [[Genichi Taguchi|G. Taguchi]] and [[H. P. Wynn]].<ref>{{cite book | last1 = Giri | first1 = Narayan C.  | last2 = Das | first2 = M. N. | title = Design and Analysis of Experiments | publisher = Wiley | location = New York, N.Y | year = 1979 | isbn = 9780852269145 | url = https://books.google.com/books?id=-vGlnx-ZVvEC | pages=53, 159, 264   }}</ref>

The textbooks of D. Montgomery, R. Myers, and G. Box/W. Hunter/J.S. Hunter have reached generations of students and practitioners.<ref>{{cite book | last = Montgomery | first = Douglas 
| title = Design and analysis of experiments 
| publisher = John Wiley & Sons, Inc | location = Hoboken, NJ
| edition = 8th 
| year = 2013 | isbn = 9781118146927 }}</ref><ref>
{{cite book 
| last1 = Walpole | first1 = Ronald E.
| last2 = Myers | first2 = Raymond H. 
| last3 = Myers | first3 = Sharon L.
| last4 = Ye | first4 = Keying
| title = Probability & statistics for engineers & scientists 
| publisher = Pearson Prentice Hall | location = Upper Saddle River, NJ
| edition = 8 
| year = 2007 | isbn = 978-0131877115 }}</ref><ref>
{{cite book 
| last1 = Myers | first1 = Raymond H.
| last2 = Montgomery | first2 = Douglas C.
| last3 = Vining | first3 = G. Geoffrey
| last4 = Robinson | first4 = Timothy J. 
| title = Generalized linear models : with applications in engineering and the sciences 
| publisher = Wiley | location = Hoboken, N.J.
| edition = 2 
| year = 2010 | isbn = 978-0470454633 }}</ref><ref>
{{cite book | last1 = Box | first1 = George E.P. | last2 = Hunter | first2 = William G. | last3 = Hunter | first3 = J. Stuart | title = Statistics for Experimenters : An Introduction to Design, Data Analysis, and Model Building | publisher = Wiley | location = New York | year = 1978 | isbn = 978-0-471-09315-2 | url = https://archive.org/details/statisticsforexp00geor }}</ref><ref>
{{cite book 
| last1 = Box | first1 = George E.P.
| last2 = Hunter | first2 = William G.
| last3 = Hunter | first3 = J. Stuart
| title = Statistics for Experimenters : Design, Innovation, and Discovery 
| publisher = Wiley | location = Hoboken, N.J.
| edition = 2 
| year = 2005 | isbn = 978-0471718130 }}</ref> Furthermore, there is ongoing discussion of experimental design in the context of model building for models either static or dynamic models, also known as [[system identification]]. <ref>{{cite journal | last1 = Spall | first1 = J. C. | year = 2010 | title = Factorial Design for Efficient Experimentation: Generating Informative Data for System Identification | journal = IEEE Control Systems Magazine | volume = 30 | issue = 5| pages = 38–53 | doi=10.1109/MCS.2010.937677| s2cid = 45813198 }}</ref><ref>{{cite journal | last1 = Pronzato | first1 = L | year = 2008 | title = Optimal experimental design and some related control problems | journal = Automatica | volume = 44 | issue = 2| pages = 303–325 | doi=10.1016/j.automatica.2007.05.016| arxiv = 0802.4381| s2cid = 1268930 }}</ref>