Selecting Check Points for Testing Lack of Fit in Response Surface Models
1983; Taylor & Francis; Volume: 25; Issue: 4 Linguagem: Inglês
10.1080/00401706.1983.10487898
ISSN1537-2723
AutoresJohn T. Shelton, André I. Khuri, John A. Cornell,
Tópico(s)Probabilistic and Robust Engineering Design
ResumoIn modeling a response as a function of a set of explanatory variables, one way to check lack of fit in a fitted model of the form E(Y) = Xβ1, when the true model is E(Y) = Xβ1 + X22β2, is to use additional check points. The question of choosing check points has not often been addressed, so we propose a method of selecting check points to maximize the power of the lack-of-fit test. Two examples illustrate the procedure.
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