Journal ArticleDOI
The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares
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The experimental scientist is frequently faced with the task of determining the functional relation between a response, y and a number of inputs, x, x2,. * *, x, with the help of empirical data.Abstract:
The experimental scientist is frequently faced with the task of determining the functional relation between a 'response', y and a number of 'inputs', x , x2, . * * , x, with the help of empirical data. Often the mathematical form of the functional relation is assumed to be known and is written in the form of a 'regression function',read more
Citations
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Journal ArticleDOI
Erratum to: The oral bioavailability and pharmacokinetics of soluble and resin-bound forms of amphetamine and phentermine in man
TL;DR: The one-compartment open model with first-order drug absorption was fitted to the data from each subject by nonlinear regression methods and provided an excellent fit and relative bioavailability of the two salts did not differ for either drug.
Journal ArticleDOI
Plant Viability as a Function of Temperature Stress (The Richards Function Applied to Data from Freezing Tests of Growing Shoots).
H. A. von Fircks,Theo Verwijst +1 more
TL;DR: The Richards function led to a more accurate reflection of the temperature-mortality course of growing Salix stems than the logistic function, which possesses the flexibility needed to describe plant injury response in terms of physical and plant physiological mechanisms.
Journal ArticleDOI
Enabling Optimization-Based Localization for IoT Devices
TL;DR: Experimental results finally show that subdecimeter localization accuracy can be achieved using the proposed optimization-based approach, even when the majority of the UWB radio locations are unknown.
Journal ArticleDOI
Surfactant Effects on Spray-Congealed Formulations of Sulfaethylthiadiazole—Wax
TL;DR: An investigation was undertaken to examine the effects of selected formulation and production variables on the physical characteristics and dissolution patterns of spray-congealed particles of sulfaethylthiadiazole (SETD)-wax, and a log—log dissolution model showed good agreement with the experimental data.
Journal ArticleDOI
Estudo da curva de crescimento de animais da raça Guzerá e seus cruzamentos alimentados a pasto, com e sem suplementação: 1. Análise e seleção das funções não-lineares
TL;DR: Guzera et al. as discussed by the authors analyzed sete funcoes nao-lineares for descrever o crescimento de machos e femeas da raca Guzera e seus cruzamentos submetidos a tres niveis of suplementacao.
References
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Journal ArticleDOI
A method for the solution of certain non – linear problems in least squares
TL;DR: In this article, the problem of least square problems with non-linear normal equations is solved by an extension of the standard method which insures improvement of the initial solution, which can also be considered an extension to Newton's method.
Book ChapterDOI
On the Experimental Attainment of Optimum Conditions
George E. P. Box,K. B. Wilson +1 more
TL;DR: The work described in this article is the result of a study extending over the past few years by a chemist and a statistician, which has come about mainly in answer to problems of determining optimum conditions in chemical investigations, but they believe that the methods will be of value in other fields where experimentation is sequential and the error fairly small.