Model Discrimination for Nonlinear Regression Models PDF Download
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Author: Dale S. Borowiak
Publisher: CRC Press
ISBN: 1000147339
Category : Mathematics
Languages : en
Pages : 202
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Book Description
Borowiak (math, U. of Akron) discusses model discrimination based upon incorrect selection probability, presents diagnostic statistics and formal hypothesis test procedures to assess a model's fit and stability, explains the use of computer computations such as the jackknife and bootstrap, and demon
Author: Dale S. Borowiak
Publisher: CRC Press
ISBN: 1000147339
Category : Mathematics
Languages : en
Pages : 202
Get Book Here
Book Description
Borowiak (math, U. of Akron) discusses model discrimination based upon incorrect selection probability, presents diagnostic statistics and formal hypothesis test procedures to assess a model's fit and stability, explains the use of computer computations such as the jackknife and bootstrap, and demon
Author: R. Russell Rhinehart
Publisher: John Wiley & Sons
ISBN: 1118597966
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Since mathematical models express our understanding of how nature behaves, we use them to validate our understanding of the fundamentals about systems (which could be processes, equipment, procedures, devices, or products). Also, when validated, the model is useful for engineering applications related to diagnosis, design, and optimization. First, we postulate a mechanism, then derive a model grounded in that mechanistic understanding. If the model does not fit the data, our understanding of the mechanism was wrong or incomplete. Patterns in the residuals can guide model improvement. Alternately, when the model fits the data, our understanding is sufficient and confidently functional for engineering applications. This book details methods of nonlinear regression, computational algorithms,model validation, interpretation of residuals, and useful experimental design. The focus is on practical applications, with relevant methods supported by fundamental analysis. This book will assist either the academic or industrial practitioner to properly classify the system, choose between the various available modeling options and regression objectives, design experiments to obtain data capturing critical system behaviors, fit the model parameters based on that data, and statistically characterize the resulting model. The author has used the material in the undergraduate unit operations lab course and in advanced control applications.
Author: R.W. Farebrother
Publisher: CRC Press
ISBN: 9780203908990
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Examines classic algorithms, geometric diagrams, and mechanical principles for enhancing visualization of statistical estimation procedures and mathematical concepts in physics, engineering, and computer programming.
Author: Michiko Watanabe
Publisher: CRC Press
ISBN: 9780203913055
Category : Computers
Languages : en
Pages : 226
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Book Description
Exploring the application and formulation of the EM algorithm, The EM Algorithm and Related Statistical Models offers a valuable method for constructing statistical models when only incomplete information is available, and proposes specific estimation algorithms for solutions to incomplete data problems. The text covers current topics including sta
Author: Eugene K. Harris
Publisher: CRC Press
ISBN: 9780824793395
Category : Mathematics
Languages : en
Pages : 388
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Book Description
Examining the strengths and limitations of various standards of accuracy in clinical laboratory analyses, this detailed reference presents an in-depth study of important theoretical and empirical issues concerning the description, collection, and application of reference values in laboratory medicine.
Author: Lynne Edwards
Publisher: CRC Press
ISBN: 9780824788964
Category : Mathematics
Languages : en
Pages : 652
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Book Description
A reference devoted to the discussion of analysis of variance (ANOVA) techniques. It presents ANOVA as a research design, a collection of statistical models, an analysis model, and an arithmetic summary of data. Discussion focuses primarily on univariate data, but multivariate generalizations are to
Author: Giri
Publisher: Routledge
ISBN: 1351436708
Category : Mathematics
Languages : en
Pages : 560
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Book Description
Beginning with the historical background of probability theory, this thoroughly revised text examines all important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochatic convergence, and limit theorems - and provides an introduction to various types of statistical problems, covering the broad range of statistical inference.;Requiring a prerequisite in calculus for complete understanding of the topics discussed, the Second Edition contains new material on: univariate distributions; multivariate distributions; large-sample methods; decision theory; and applications of ANOVA.;A primary text for a year-long undergraduate course in statistics (but easily adapted for a one-semester course in probability only), Introduction to Probability and Statistics is for undergraduate students in a wide range of disciplines-statistics, probability, mathematics, social science, economics, engineering, agriculture, biometry, and education.
Author: Anant Kshirsagar
Publisher: CRC Press
ISBN: 1040283586
Category : Mathematics
Languages : en
Pages : 383
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Book Description
This work describes several statistical techniques for studying repeated measures data, presenting growth curve methods applicable to biomedical, social, animal, agricultural and business research. It details the multivariate development of growth science and repeated measures experiments, covering time-moving covariates, exchangable errors, bioassay results, missing data procedures and nonparametric and Bayesian methods.
Author: David Ratkowsky
Publisher: CRC Press
ISBN: 1000723526
Category : Mathematics
Languages : en
Pages : 468
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Book Description
Developing a model-based approach that enables any cross-over trial, of any degree of imbalance, to be analyzed both for direct effects and for residual effects, using consistent procedures that employ commercially available statistical software, this text offers a guide to the analysis of cross-over designs.;Illustrating practical applications throughout with examples, this book: emphasizes the importance of choosing highly efficient designs that separate treatment and carryover effects; demonstrates the exact methodology needed to handle the analysis of data; presents a new methodology for the analysis of binary and categorical data; and considers the effects of blocking. The appendices facilitate the choosing of an appropriate design for every experimental need.
Author: Eugene Edgington
Publisher: CRC Press
ISBN: 9780824796693
Category : Mathematics
Languages : en
Pages : 444
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Book Description
The material in this work is organized in such as way as to illustrate how randomization tests are related to topics in parametric and traditional nonparametric statistics. The work extends the scope of applications by freeing tests from parametric assumptions without reducing data to ranks. This edition provides many new features, including more accessible terminology to clarify understanding, a current analysis of single-unit experiments as well as single-subject experiments, a discussion on how single-subject experiments relate to repeated-measures experiments and the use of randomized tests in single-patient research, and more.
