Discrimination among Mechanistic Models. Box, G. E. P. & Hill, W. J. Technometrics, 9(1):57--71, 1967. ArticleType: research-article / Full publication date: Feb., 1967 / Copyright © 1967 American Statistical Association and American Society for Quality
Paper abstract bibtex This paper is concerned with research, the object of which is to discover the mechanism for a particular phenomenon leading to a specific mathematical model. Such investigations are distinguished from those in which the object is merely to estimate the output y of a process over a range of values of the input ξ 1, ξ 2,⋯, ξ k. Frequently, a number of possible mechanisms are suggested from theoretical considerations leading to a number of different mathematical models. To discriminate among these a sequential procedure is developed in which calculations made after each experiment determine the most discriminatory process conditions for use in the next experiment. The method is illustrated with examples.
@article{box_discrimination_1967,
title = {Discrimination among {Mechanistic} {Models}},
volume = {9},
issn = {00401706},
url = {http://www.jstor.org/stable/1266318},
abstract = {This paper is concerned with research, the object of which is to discover the mechanism for a particular phenomenon leading to a specific mathematical model. Such investigations are distinguished from those in which the object is merely to estimate the output y of a process over a range of values of the input ξ 1, ξ 2,⋯, ξ k. Frequently, a number of possible mechanisms are suggested from theoretical considerations leading to a number of different mathematical models. To discriminate among these a sequential procedure is developed in which calculations made after each experiment determine the most discriminatory process conditions for use in the next experiment. The method is illustrated with examples.},
number = {1},
urldate = {2010-10-04TZ},
journal = {Technometrics},
author = {Box, G. E. P. and Hill, W. J.},
year = {1967},
note = {ArticleType: research-article / Full publication date: Feb., 1967 / Copyright © 1967 American Statistical Association and American Society for Quality},
pages = {57--71}
}
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