Data Analysis Using the Method of Least Squares

Data Analysis Using the Method of Least Squares PDF

Author: John Wolberg

Publisher: Springer Science & Business Media

Published: 2006-02-08

Total Pages: 257

ISBN-13: 3540317201

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Develops the full power of the least-squares method Enables engineers and scientists to apply the method to their specific problem Deals with linear as well as with non-linear least-squares, parametric as well as non-parametric methods

Fitting Equations to Data

Fitting Equations to Data PDF

Author: Cuthbert Daniel

Publisher: Wiley-Interscience

Published: 1999-08-30

Total Pages: 486

ISBN-13:

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Helps any serious data analyst with a computer to recognize the strengths and limitations of data, to test the assumptions implicit in the least squares methods used to fit the data, to select appropriate forms of the variables, to judge which combinations of variables are most influential, and to state the conditions under which the fitted equations are applicable. This edition includes numerous extensions and new devices such as component and component-plus-residual plots, cross verification with a second sample, and an index of required x-precision; also, the search for better subset equations is enlarged to cover 262,144 alternatives. The methods described have been applied in agricultural, environmental, management, marketing, medical, physical, and social sciences. Mathematics is kept to the level of college algebra.

Fitting Models to Biological Data Using Linear and Nonlinear Regression

Fitting Models to Biological Data Using Linear and Nonlinear Regression PDF

Author: Harvey Motulsky

Publisher: Oxford University Press

Published: 2004-05-27

Total Pages: 352

ISBN-13: 9780198038344

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Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.

Least Squares Cubic Splines

Least Squares Cubic Splines PDF

Author: Victor L. Corbin

Publisher:

Published: 1973

Total Pages: 28

ISBN-13:

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An important feature of ordinary cubic splines results from the conditions of continuity of the function and its first two derivatives that are improved at each data point. Consequently, this method is not useful with experimental data, which is the sum of the true value of a function and some random noise. The authors have combined the least squares criteria with the spline conditions to obtain a set of equations which allow one to perform least squares curve fitting with cubic splines. (Author).