A tool for computing confidence regions on the stationary point of a response surface

Enrique Del Castillo; Suntara Cahya

doi:10.1198/000313001753272349

A tool for computing confidence regions on the stationary point of a response surface

Enrique Del Castillo, Suntara Cahya

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

This article describes a software tool for the computation and display of confidence regions on the location of the stationary point of a quadratic response surface. The algebraic complexity of the computation and plotting of these regions makes such a task ideally suited for a computer algebra system. The program, coded in the computer algebra package MAPLE, has been used in a graduate level class in response surface methodology (RSM). Three examples taken from the literature illustrate the use and features of the program.

Original language	English (US)
Pages (from-to)	358-365
Number of pages	8
Journal	American Statistician
Volume	55
Issue number	4
DOIs	https://doi.org/10.1198/000313001753272349
State	Published - Nov 2001

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1198/000313001753272349

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title = "A tool for computing confidence regions on the stationary point of a response surface",

abstract = "This article describes a software tool for the computation and display of confidence regions on the location of the stationary point of a quadratic response surface. The algebraic complexity of the computation and plotting of these regions makes such a task ideally suited for a computer algebra system. The program, coded in the computer algebra package MAPLE, has been used in a graduate level class in response surface methodology (RSM). Three examples taken from the literature illustrate the use and features of the program.",

author = "{Del Castillo}, Enrique and Suntara Cahya",

note = "Funding Information: Enrique Del Csillotais AssociaPtfereo,DspartmentseoorfIdnustrial and Manufacturing Engineering, Penn State Un, UivrsnityeParkirv, PsA 1ei68t02y (E-mail: [email protected]).Suntara Cahya is a Ph.D. cadidatenin the Deparmtet n of Industrial and Manufacturing Engineegr, PenninStteaUn, Uniivveerrssiittyy Park, PA 16802. The authors thank John Peten anrd LansoWag fonr verinyt-er esting diusssiocns on the topic of con{\v Z} dence rgiones in response surface analysis and their rvew iof aneearlier version of this aricle.tWe also thank the editor and anonymousresfforetheirrcoementsmthatenhancede theprentatiosnoefthe article. This work was partially funded by NSF grntaDMI 9988563.",

year = "2001",

month = nov,

doi = "10.1198/000313001753272349",

language = "English (US)",

volume = "55",

pages = "358--365",

journal = "American Statistician",

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T1 - A tool for computing confidence regions on the stationary point of a response surface

AU - Del Castillo, Enrique

AU - Cahya, Suntara

N1 - Funding Information: Enrique Del Csillotais AssociaPtfereo,DspartmentseoorfIdnustrial and Manufacturing Engineering, Penn State Un, UivrsnityeParkirv, PsA 1ei68t02y (E-mail: [email protected]).Suntara Cahya is a Ph.D. cadidatenin the Deparmtet n of Industrial and Manufacturing Engineegr, PenninStteaUn, Uniivveerrssiittyy Park, PA 16802. The authors thank John Peten anrd LansoWag fonr verinyt-er esting diusssiocns on the topic of conŽ dence rgiones in response surface analysis and their rvew iof aneearlier version of this aricle.tWe also thank the editor and anonymousresfforetheirrcoementsmthatenhancede theprentatiosnoefthe article. This work was partially funded by NSF grntaDMI 9988563.

PY - 2001/11

Y1 - 2001/11

N2 - This article describes a software tool for the computation and display of confidence regions on the location of the stationary point of a quadratic response surface. The algebraic complexity of the computation and plotting of these regions makes such a task ideally suited for a computer algebra system. The program, coded in the computer algebra package MAPLE, has been used in a graduate level class in response surface methodology (RSM). Three examples taken from the literature illustrate the use and features of the program.

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A tool for computing confidence regions on the stationary point of a response surface

Abstract

All Science Journal Classification (ASJC) codes

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