Editing Design of experiments (section)

====Optimal designs for regression models====
{{Main|Response surface methodology}}
{{See also|Optimal design}}
[[Charles Sanders Peirce|Charles S. Peirce]] also contributed the first English-language publication on an [[optimal design]] for [[Regression analysis|regression]] [[statistical model|models]] in 1876.<ref>{{cite journal| author=Peirce, C. S. | year=1876| title=Note on the Theory of the Economy of Research | journal=Coast Survey Report | pages=197–201| author-link=Charles Sanders Peirce}}, actually published 1879, NOAA [http://docs.lib.noaa.gov/rescue/cgs/001_pdf/CSC-0025.PDF#page=222 PDF Eprint] {{Webarchive|url=https://web.archive.org/web/20170302071239/https://docs.lib.noaa.gov/rescue/cgs/001_pdf/CSC-0025.PDF#page=222 |date=2 March 2017 }}.<br /> Reprinted in ''[[Charles Sanders Peirce bibliography#CP|Collected Papers]]'' '''7''', paragraphs 139–157, also in ''[[Charles Sanders Peirce bibliography#W|Writings]]'' '''4''', pp. 72–78, and in {{cite journal| author=Peirce, C. S. |date=July–August 1967
| title=Note on the Theory of the Economy of Research
| journal=Operations Research
|volume=15 | issue=4|pages=643–648
| jstor=168276|doi=10.1287/opre.15.4.643
|author-link=Charles Sanders Peirce
}}</ref> A pioneering [[optimal design]] for [[polynomial regression]] was suggested by [[Joseph Diaz Gergonne|Gergonne]] in 1815. In 1918, [[Kirstine Smith]] published optimal designs for polynomials of degree six (and less).<ref name=GL2009>{{cite journal |last1=Guttorp |first1=P. |last2=Lindgren |first2=G. |title= Karl Pearson and the Scandinavian school of statistics |journal= International Statistical Review |volume=77 |year=2009 |page=64 |doi=10.1111/j.1751-5823.2009.00069.x|citeseerx=10.1.1.368.8328 |s2cid=121294724 }}</ref><ref name="polynomials">{{Cite journal| last1= Smith| first1=Kirstine| author-link1=Kirstine Smith| year=1918| title=On the standard deviations of adjusted and interpolated values of an observed polynomial function and its constants and the guidance they give towards a proper choice of the distribution of observations.| url=https://books.google.com/books?id=UMNLAAAAYAAJ | journal=Biometrika|volume=12| issue=1–2|pages=1–85| doi=10.1093/biomet/12.1-2.1| url-access=subscription}}</ref>