Polynomial and rational function modeling: Difference between revisions

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==See also==

* [[Response surface methodology]]

* [[Padé approximant|Pade Approximant]]

==Bibliography==

* {{cite book |author=[http://stats.lse.ac.uk/atkinson/ Atkinson, A. C.] and [http://www.maths.manchester.ac.uk/~adonev/ |author2=Donev, A. N.] and [http://support.sas.com/publishing/bbu/companion_site/index_author.html#tobias |author3=Tobias, R. D.]|title=Optimum Experimental Designs, with SAS| url=https://books.google.com/books?id=oIHsrw6NBmoC| publisher=Oxford University Press|year=2007 |pages=511+xvi |isbn=978-0-19-929660-6 |oclc= |doi=}}

* Box, G. E. P. and Draper, Norman. 2007. ''Response Surfaces, Mixtures, and Ridge Analyses'', Second Edition [of ''Empirical Model-Building and Response Surfaces'', 1987], Wiley.

* {{cite book |authorlinkauthor-link=Jack Kiefer (statistician)| last=Kiefer| first=Jack Carl| title=Collected Papers III Design of Experiments |editorlinkeditor-link=Lawrence D. Brown| editor=L. D. Brown|publisher=Springer-Verlag|year=1985|isbn=978-0-387-96004-3|display-editors=etal}}

* R. H. Hardin and [[Neil Sloane|N. J. A. Sloane]], [http://neilsloane.com/doc/design.pdf "A New Approach to the Construction of Optimal Designs", ''Journal of Statistical Planning and Inference'', vol. 37, 1993, pp. 339-369]

* R. H. Hardin and [[Neil Sloane|N. J. A. Sloane]], [http://neilsloane.com/doc/doeh.pdf "Computer-Generated Minimal (and Larger) Response Surface Designs: (I) The Sphere"]

* R. H. Hardin and [[Neil Sloane|N. J. A. Sloane]], [http://neilsloane.com/doc/meatball.pdf "Computer-Generated Minimal (and Larger) Response Surface Designs: (II) The Cube"]

* {{Cite book| title=Design and Analysis of Experiments | series=Handbook of Statistics| volume=13|editor=Ghosh, S. |editor2=[[Calyampudi Radhakrishna Rao|Rao, C. R.]] |editor2-link=Calyampudi Radhakrishna Rao | publisher=North-Holland| year=1996| isbn=978-0-444-82061-7}}

** {{Cite book|author1=Draper, Norman |author2=Lin, Dennis K. J. |lastauthorampname-list-style=yesamp | chapter=Response Surface Designs |pages=343–375}}

** {{Cite book|author1=Gaffke, N. |author2=Heiligers, B |lastauthorampname-list-style=yesamp | chapter=Approximate Designs for [[Linear regression|Polynomial Regression]]: [[Invariant estimator|Invariance]], [[Admissible decision rule|Admissibility]], and [[Optimal design|Optimality]] |pages=1149–1199}}

* {{cite book |author=Melas, Viatcheslav B.|title=Functional Approach to Optimal Experimental Design |series=Lecture Notes in Statistics| volume=184 | publisher=Springer-Verlag | year=2006 |isbn=978-0-387-98741-5}} (Modeling with rational functions)

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|volume=1

|issue=4 <!-- |month=November -->

|year=1974 |origyearorig-year=1815

|pages=439–447

|edition=Translated by Ralph St. John and [[Stephen M. Stigler|S. M. Stigler]] from the 1815 French

|doi=10.1016/0315-0860(74)90034-2

|author-link=Joseph Diaz Gergonne

|doi-access=free

}}

*{{cite journal

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|issue=1/2

|pages=1–85

|url=http://biomet.oxfordjournals.org/cgi/content/citation/12/1-2/1

|jstor=2331929

|doi=10.1093/biomet/12.1-2.1}}