Practical Curve Fitting and Data Analysis

Practical Curve Fitting and Data Analysis
Title Practical Curve Fitting and Data Analysis PDF eBook
Author Joseph H. Noggle
Publisher Prentice Hall
Pages 222
Release 1993
Genre Computers
ISBN

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This guide focuses on how to make graphs and abstract physical information from data using a personal computer. This tutorial program/book package covers the elements of curve fitting and statistical treatment of data and numerical analysis. Taking a step-by-step approach, the book, the program, and the accompanying data files are designed to demonstrate common errors and pitfalls. It contains examples from analytical chemistry, chemical engineering and biochemistry. For those engineers and/or scientists who want to easily make graphs and plot physical information from data with a microcomputer.

Practical Handbook of Curve Fitting

Practical Handbook of Curve Fitting
Title Practical Handbook of Curve Fitting PDF eBook
Author Sandra Arlinghaus
Publisher CRC Press
Pages 282
Release 1994-05-09
Genre Mathematics
ISBN 9780849301438

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Practical Handbook of Curve Fitting is a reference work assembled by Arlinghaus and a set of editors with well over a century of combined experience in various disciplines and activities related to curve fitting. The book demonstrates how to analyze World data bases and graph and map the results. Default settings in software packages can produce attractive graphs of data imported into the software. Often, however, the default graph has no equation associated with it and cannot therefore be used as a tool for further analysis or projection of the data. The same software can often be used to generate curves from equations. The reader is shown directly, and in a series of steps, how to fit curves to data using Lotus 1-2-3. There are traditional unbounded curve fitting techniques-lines of least squares, exponentials, logistic curves, and Gompertz curves. There is the bounded curve fitting technique of cubic spline interpolation. Beyond these, there is a detailed application of Feigenbaum's graphical analysis from chaos theory, and there is a hint as to how fractal geometry might come into play. Curve fitting algorithms take on new life when they are actually used on real-world data. They are used in numerous worked examples drawn from electronic data bases of public domain information from the Stars data base of The World Bank and from the WRD data base of the World Resources Institute. The applications are current and reflect a state-of-the-art interest in the human dimensions of global change.

Fitting Models to Biological Data Using Linear and Nonlinear Regression

Fitting Models to Biological Data Using Linear and Nonlinear Regression
Title Fitting Models to Biological Data Using Linear and Nonlinear Regression PDF eBook
Author Harvey Motulsky
Publisher Oxford University Press
Pages 352
Release 2004-05-27
Genre Mathematics
ISBN 0198038348

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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.

Practical Spreadsheet Statistics and Curve Fitting for Scientists and Engineers

Practical Spreadsheet Statistics and Curve Fitting for Scientists and Engineers
Title Practical Spreadsheet Statistics and Curve Fitting for Scientists and Engineers PDF eBook
Author Louis M. Mezei
Publisher
Pages 344
Release 1990
Genre Computers
ISBN

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Though Japan has successfully competed with U.S. companies in the manufacturing and marketing of computer hardware, it has been less successful in developing computer programs. This book contains the first detailed analysis of how Japanese firms have tried to redress this imbalance by applying their skills in engineering and production management to software development. Cusumano focuses on the creation of "software factories" in which large numbers of people are engaged in developing software in cooperative ways---i.e. individual programs are not developed in isolation but rather utilize portions of other programs already developed whenever possible, and then yield usable portions for other programs being written. Devoting chapters to working methods at System Developing Corp., Hitachi, Toshiba, NEC, and Fujitsu, and including a comparison of Japanese and U.S. software factories, Cusumano's book will be important reading for all people involved in software and computer technology, as well as those interested in Japanese business and corporate culture.

Fitting Equations to Data

Fitting Equations to Data
Title Fitting Equations to Data PDF eBook
Author Cuthbert Daniel
Publisher Wiley-Interscience
Pages 488
Release 1980-04-25
Genre Mathematics
ISBN

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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.

From Curve Fitting to Machine Learning

From Curve Fitting to Machine Learning
Title From Curve Fitting to Machine Learning PDF eBook
Author Achim Zielesny
Publisher Springer
Pages 509
Release 2016-04-13
Genre Computers
ISBN 3319325450

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This successful book provides in its second edition an interactive and illustrative guide from two-dimensional curve fitting to multidimensional clustering and machine learning with neural networks or support vector machines. Along the way topics like mathematical optimization or evolutionary algorithms are touched. All concepts and ideas are outlined in a clear cut manner with graphically depicted plausibility arguments and a little elementary mathematics.The major topics are extensively outlined with exploratory examples and applications. The primary goal is to be as illustrative as possible without hiding problems and pitfalls but to address them. The character of an illustrative cookbook is complemented with specific sections that address more fundamental questions like the relation between machine learning and human intelligence.All topics are completely demonstrated with the computing platform Mathematica and the Computational Intelligence Packages (CIP), a high-level function library developed with Mathematica's programming language on top of Mathematica's algorithms. CIP is open-source and the detailed code used throughout the book is freely accessible.The target readerships are students of (computer) science and engineering as well as scientific practitioners in industry and academia who deserve an illustrative introduction. Readers with programming skills may easily port or customize the provided code. "'From curve fitting to machine learning' is ... a useful book. ... It contains the basic formulas of curve fitting and related subjects and throws in, what is missing in so many books, the code to reproduce the results.All in all this is an interesting and useful book both for novice as well as expert readers. For the novice it is a good introductory book and the expert will appreciate the many examples and working code". Leslie A. Piegl (Review of the first edition, 2012).

Curve and Surface Fitting with Splines

Curve and Surface Fitting with Splines
Title Curve and Surface Fitting with Splines PDF eBook
Author Paul Dierckx
Publisher Oxford University Press
Pages 308
Release 1995
Genre Computers
ISBN 9780198534402

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The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, medicine, ...) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines. As such it gives a survey of possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular it is demonstrated in detail how the properties of B-splines can be fully exploited for improving the computational efficiency and for incorporating different boundary or shape preserving constraints. Special attention is also paid to strategies for an automatic and adaptive knot selection with intent to obtain serious data reductions. The practical use of the smoothing software is illustrated with many examples, academic as well as taken from real life.