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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An influencing factor to predict plasma valproate concentrations: Circadian stage-dependent kinetics.:Circadian Stage-Dependent Kinetics
TL;DR: The results suggest that the time in the circadian stage at which VPA is administered is important for evaluating exactly the predictive accuracy in predicting plasma VPA concentrations at steady state.
Posted Content
Alternative Estimation Methods of Nonlinear Demand Systems
TL;DR: In this paper, a theoretical discussion and some empirical results using the maximum likelihood (ML) method and the iterative version of Zellner's seemingly unrelated regression (IZEF) method in the estimation of a nonlinear system of demand equations (the linear expenditure system) when the disturbance terms are both contemporaneously and serially correlated.
Journal ArticleDOI
Changes in residual air saturation after thorough drainage processes in an air–water fine sandy medium
Yan Li,Pengfei Wu,Zhen Xia,Qingshu Yang,Giancarlo Flores,Haoyu Jiang,Masashi Kamon,Baozheng Yu +7 more
TL;DR: In this article, the unstable and stable residual air saturations in an air-water two-phase system in a sand medium during a series of consecutive drainage-imbibition cycles with gradually increasing initial air saturation were investigated.
Journal ArticleDOI
Influence of different baking powders on physico-chemical, sensory and volatile compounds in biscuits and their impact on textural modifications during soaking.
Giada Canali,Federica Balestra,Virginia Glicerina,Federica Pasini,Maria Fiorenza Caboni,Santina Romani +5 more
TL;DR: Results obtained in this study demonstrate that a lot of final properties of biscuits can be strongly influenced by the type of leavening agents used in formulation.
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.