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Title: On parameter-effects arrays in non-linear regression models (English)
Author: Potocký, Rastislav
Author: To, Van Ban
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 38
Issue: 2
Year: 1993
Pages: 123-132
Summary lang: English
Category: math
Summary: Formulas for a new three- and four-dimensional parameter-effects arrays corresponding to transformations of parameters in non-linear regression models are given. These formulae make the construction of the confidence regions for parameters easier. An example is presented which shows that some care is necessary when a new array is computed. (English)
Keyword: nonlinear regression model
Keyword: parameter-effects arrays
Keyword: confidence region
Keyword: three-dimensional parameter effects
Keyword: Bates-Watts array
Keyword: four-dimensional parameter-effects arrays
Keyword: transformations of parameters
MSC: 62J02
idZBL: Zbl 0774.62065
idMR: MR1202748
DOI: 10.21136/AM.1993.104539
Date available: 2008-05-20T18:45:12Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] Bates D. M., Watts D. G.: Relative curvature measure of nonlinearity.Journal of the Royal Statistical Society (1980), 1-25. MR 0567196
Reference: [2] Bates D. M., Watts D. G.: Parameter transformations for improved approximate confidence regions in nonlinear least squares.The Annals of Statistics 9 (1981), 1152-1162. Zbl 0493.62060, MR 0630099, 10.1214/aos/1176345633
Reference: [3] Clarke G. P. I.: Marginal curvatures and their usefulness in the analysis of nonlinear regression models.Journal of the American Statistical Association 82 (1987), 844-850. Zbl 0623.62062, MR 0909991, 10.1080/01621459.1987.10478507
Reference: [4] Cook R. D., Goldberg M. L.: Curvatures for parameter subsets in nonlinear regression.The Annals of Statistics 14 (1986), 1399-1418. Zbl 0651.62060, MR 0868308, 10.1214/aos/1176350166
Reference: [5] Cook R. D., Witmer J. A.: .J. Amer. Statist. Assoc. 80 (1985), 872-878. MR 0819586
Reference: [6] Hoogaard P.: Parameter transformations in multiparameter nonlinear regression models.University of Copenhagen, Institute of Mathematical Statistics, 1984, Preprint No. 2.
Reference: [7] Potocký R., Van Ban T.: Confidence regions in non-linear regression models.Applications of Mathematics 57 (1992), 29-39.


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