Optimal Design in and Hazards of Linearization of Langmuir's Nonlinear Model [microform] / Ferrin Harrison and S. K. Katti
- Bib ID:
- 5523003
- Format:
- Book and Microform
- Author:
- Harrison, Ferrin
- Online Version:
- https://eric.ed.gov/?id=ED324373
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- Description:
-
- [Washington, D.C.] : Distributed by ERIC Clearinghouse, 1990
- 28 p.
- Summary:
-
Langmuir's model is studied for the situation where epsilon is independently and identically normally distributed. The "Y/x" versus "Y" plot had a 90% mid-range that did not contain the true curve in a vast portion of the range of "x". The "1/Y" versus "1/chi" plot had undefined expected values, and this problem worsens as sample size increases. The use of non-linear least squares is recommended. In non-linear regression, it is demonstrated that a design that gives at least a local minimum of the generalized variance of the parameter estimators is one where half the observations are taken at the maximal value of "x" (termed "x-theta") and half of the epsilons equal half their maximal value. The use of such an extreme design is optimal in simple linear regression; however, it is curious that this design is optimal in non-linear Langmuir's model. Six graphs, five data tables, and numerous equations are provided. (Author/SLD)
- Notes:
- May also be available online. Address as at 14/8/18: https://eric.ed.gov/
- Reproduction:
- Microfiche. [Washington D.C.]: ERIC Clearinghouse microfiches : positive.
- Subject:
- Other authors/contributors:
- Katti, S. K, author
- Available From:
- ERIC
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Published
- Publication date:
- 1990
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