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Details van artikel 9 van 9 gevonden artikelen
| Titel: |
Secondary design considerations for minimum bias estimation |
| Auteur: |
Khuri, A.I. Cornell, J.A. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 6 (1977) nr. 7 pagina's 631-647 |
| Jaar: |
1977 |
| Inhoud: |
Several authors have suggested the method of minimum bias estimation for estimating response surfaces. The minimum bias estimation procedure achieves minimum average squared bias of the fitted model without depending on the values of the unknown parameters of the true surface. The only requirement is that the design satisfies a simple estimability condition. Subject to providing minimum average squared bias, the minimum bias estimator also provides minimum average variance of y(x) where y(x) is the estimate of the response at the point x. To support the estimation of the parameters in the fitted model, very little has been suggested in the way of experimental designs except to say that a full rank matrix X of independent variables should be used. This paper presents a closer look at the estimability conditions that are required for minimum bias estimation, and from the form of the matrix X, a formula is derived which measures the amount of design flexibility available. The design flexibility is termed “the degrees of freedom” of the X matrix and it is shown how the degrees of freedom can be used to decide if other design optimality criteria might be considered along with minimum bias estimation. Several examples are provided. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 9 van 9 gevonden artikelen
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