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Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting
 
 
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Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting [Paperback]

Harvey Motulsky (Author), Arthur Christopoulos (Author)
5.0 out of 5 stars  See all reviews (3 customer reviews)

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Book Description

0195171802 978-0195171808 May 27, 2004 1
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.

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Editorial Reviews

From the Inside Flap

"This well-written book fills a major need for biomedical researchers -- an explanation of nonlinear regression that is simple, deep, insightful and practical."
Lee E. Limbird, Ph.D.
Dept. Pharmacology Vanderbilt University

"Because the data from many of the experiments in my laboratory are analyzed by curve fitting, it is important that my postdoctoral fellows, students and senior technicians understand the basic principles of nonlinear regression. But it has been hard for them to do so. Basic statistics books don't discuss curve fitting, advanced books on nonlinear regression tend to be too mathematical, and the manuals that come with computer programs tend to be too narrow. Motulsky and Christopolous do a excellent job of explaining the principles of curve fitting (with enough but not too much math) along with practical discussions of how to pick a model, how to make sense of results, what to do when the results appear to be nonsense and how to compare curves. I enthusiastically recommend this book to anyone doing research in pharmacology, biophysics or biochemistry -- especially for those generating dose-response, ligand binding or enzyme kinetic data (as these are discussed in detail). "
David B. Bylund, Ph.D.
Professor of Pharmacology
University of Nebraska Medical Center

About the Author

Arthur Christopoulos is at University of Melbourne.

Product Details

  • Paperback: 352 pages
  • Publisher: Oxford University Press, USA; 1 edition (May 27, 2004)
  • Language: English
  • ISBN-10: 0195171802
  • ISBN-13: 978-0195171808
  • Product Dimensions: 9.3 x 6.8 x 0.6 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #540,606 in Books (See Top 100 in Books)

More About the Author

After graduating medical school and doing an internship in internal medicine, I switched to research in receptor pharmacology research (and published over 50 peer reviewed articles). While I was on the faculty in the Department of Pharmacology at the University of California San Diego, I was given the job of teaching statistics to first year medical students and to graduate students. The syllabus for those courses grew into the first edition of Intuitive Biostatistics.

I hated creating graphs by hand, so I created some programs to do so. I also created some simple statistics programs when I saw that the existing statistical software, while great for statisticians, was overkill for most scientists. These efforts became the beginnings of GraphPad Software, Inc. (www.graphpad.com), which has been a full-time endeavor for me for many years.

 

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17 of 17 people found the following review helpful:
5.0 out of 5 stars Found the book I needed!, May 12, 2005
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This review is from: Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting (Paperback)
I've been looking for a book like this for 5 years to help me understand better nonlinear regression. The only choices before this were the same old basic stats books, or the other extreme of stats books for mathematicians. As an engineer, I needed a book that does APPLIED, not THEORETICAL, nonlinear regression. This book gives examples and speaks normal English, unlike Seber and Wild's book, which is virtually devoid of examples and drowns one with matrix math instead. Seber and Wild's book is more like a dictionary of stats equations. For Motulsky's book, here are 3 examples of things you won't find in most other statistics books: 1) the difference between confidence bands and prediction bands for Y(p. 32), showing that the former doesn't include a majority of the points, while the latter does; 2) How to compute egg- and elliptical-shaped joint confidence regions for 2 parameters (p. 114-121); 3) Good explanation of 3 different ways to compute parameter conf. regions (asymptotic, Monte Carlo, model comparison). Just one of these 3 makes it worth the price of the book for me.
Motulsky has so many different helpful topics in here, that he obviously has run into many of the problems that nonlinear regression people will see. The book is helpful regardless of the software you use, because I do a lot of coding in Matlab. I may make this book a standard text for a new engineering statistics class I am preparing.
The main shortcoming of the book for me (remember that I'm an engineer) is lack of the exact equations 1) for confidence bands and prediction bands for Y (p.32), 2) for asymptotic conf. interval for parameter (p. 98), and 3) for standard error vs. standard deviation. For the first 2, the author could reference eqn. numbers in Seber and Wild or Bates so his text flow would not be interrupted. For those of us who publish, we need to know what's going on in the black box. The standard error/standard dev. formulas would make the explanation given easier to follow.
In summary, this is the book that will help walk you through many of the problems and concerns in nonlinear regression. I'm glad someone who understands my situation finally wrote it!
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1 of 1 people found the following review helpful:
5.0 out of 5 stars A Clear and Practical Guide, April 24, 2009
This review is from: Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting (Paperback)
The translation of experimental data into testable hypotheses rests, in large part, on the ability to describe the data in quantitative terms, and to model the relationship between experimental variables and outcome. In this exceptionally readable text, the authors provide a very practical approach to curve fitting routines for the graphic display of experimental data. From this basis, the authors guide the reader through the process of model building, model comparisons and model testing. All of this is a vital part of modern science, from basic biology to physics to chemistry and beyond to applied sciences such as drug discovery. The illustrative examples used throughout the text tend to derive from the authors' interest in pharmacology, but they are nevertheless useful and clear to anyone with a basis understanding of science and mathematics. This book should be part of the library of every serious scientist and student of experimental science. It offers an approachable introduction to modern data analysis.
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1 of 1 people found the following review helpful:
5.0 out of 5 stars all around a good book, April 11, 2009
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This review is from: Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting (Paperback)
I work in academia, in a very close collaboration with pharmaceutical industry, my interest is enzymology and drug design, I am a PhD scientist. The book is well written, easy to follow for a novice and an expert, all concepts are well illustrated and explained. Simply if you can not follow the material in this book you are not likely to follow anything. I am grateful to the authors for writing this book.
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Inside This Book (learn more)
First Sentence:
As a way to get started thinking about curve fitting, this first chapter presents a complete example of nonlinear regression. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
antagonist inhibition curve, competitive binding model, most nonlinear regression programs, nonlinear regression minimizes, global curve fitting, competitive binding data, hot ligand, competitive binding curve, agonist curve, saturation binding data, nonlinear regression results, bottom plateau, ligand depletion, unlabeled drug, inverse linear regression, enzyme velocity, regression dialog, response halfway, cold ligand, global fitting, radioligand binding data, equation library, radioligand binds, specific radioligand binding, creating confidence intervals
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, Parameter Best-fit, Absolute Sum of Squares, Goodness of Fit Degrees of Freedom, Control Treated, Akaike's Information Criterion, Trends Pharmacol, Variable Units Comments, Integer Order, Std Error, Variable Comment Value, Function Explanation Excel, Lower Mississippi, University of Melbourne
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