Model Testing Based On Regression Spline

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Model Testing Based on Regression Spline

Author : Na Li
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Model Testing Based on Regression Spline by : Na Li

Download or read book Model Testing Based on Regression Spline written by Na Li and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Tests based on regression spline are developed in this chapter for testing nonparametric functions in nonparametric, partial linear and varying-coefficient models, respectively. These models are more flexible than linear regression model. However, one important problem is if it is really necessary to use such complex models which contain nonparametric functions. For this purpose, p-values for testing the linearity and constancy of the nonparametric functions are established based on regression spline and fiducial method. In the application of spline-based method, the determination of knots is difficult but plays an important role in inferring regression curve. In order to infer the nonparametric regression at different smoothing levels (scales) and locations, multi-scale smoothing methods based on regression spline are developed to test the structures of the regression curve and compare multiple regression curves. It could sidestep the determination of knots; meanwhile, it could give a more reliable result in using the spline-based method.

Spline Regression Models

Author : Lawrence C. Marsh
Publisher : SAGE
ISBN 13 : 9780761924203
Total Pages : 86 pages
Book Rating : 4.9/5 (242 download)

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Book Synopsis Spline Regression Models by : Lawrence C. Marsh

Download or read book Spline Regression Models written by Lawrence C. Marsh and published by SAGE. This book was released on 2001-09-14 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spline Regression Models shows how to use dummy variables to formulate and estimate spline regression models both in situations where the number and location of the spline knots are known in advance, and where estimation is required.

Topics in Splines and Applications

Author : Young Kinh-Nhue Truong
Publisher : BoD – Books on Demand
ISBN 13 : 1789232503
Total Pages : 162 pages
Book Rating : 4.7/5 (892 download)

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Book Synopsis Topics in Splines and Applications by : Young Kinh-Nhue Truong

Download or read book Topics in Splines and Applications written by Young Kinh-Nhue Truong and published by BoD – Books on Demand. This book was released on 2018-06-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Splines provide a significant tool for the design of computationally economical curves and surfaces for the construction of various objects like automobiles, ship hulls, airplane fuselages and wings, propeller blades, shoe insoles, bottles, etc. It also contributes in the description of geological, physical, statistical, and even medical phenomena. Spline methods have proven to be indispensable in a variety of modern industries, including computer vision, robotics, signal and image processing, visualization, textile, graphic designs, and even media. This book aims to provide a valuable source on splines and their applications. It focuses on collecting and disseminating information in various disciplines including computer-aided geometric design, computer graphics, data visualization, data fitting, power systems, clinical and epidemiologic studies, disease detection, regression curves, social media, and biological studies. The book is useful for researchers, scientists, practitioners, and many others who seek state-of-the-art techniques and applications using splines. It is also useful for undergraduate senior students as well as graduate students in the areas of computer science, engineering, health science, statistics, and mathematics. Each chapter also provides useful information on software developments and their extensions.

Nonparametric Regression and Spline Smoothing

Author : Randall L. Eubank
Publisher : CRC Press
ISBN 13 : 1482273144
Total Pages : 359 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Nonparametric Regression and Spline Smoothing by : Randall L. Eubank

Download or read book Nonparametric Regression and Spline Smoothing written by Randall L. Eubank and published by CRC Press. This book was released on 1999-02-09 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a unified account of the most popular approaches to nonparametric regression smoothing. This edition contains discussions of boundary corrections for trigonometric series estimators; detailed asymptotics for polynomial regression; testing goodness-of-fit; estimation in partially linear models; practical aspects, problems and methods for co

A Smoothing Spline Based Test of Model Adequacy in Nonparametric Regression

Author : Eunmee Koh
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A Smoothing Spline Based Test of Model Adequacy in Nonparametric Regression by : Eunmee Koh

Download or read book A Smoothing Spline Based Test of Model Adequacy in Nonparametric Regression written by Eunmee Koh and published by . This book was released on 1989 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smoothing Spline Based Test of Model Adequacy in Polynomial Regressio N

Author : Dennis D. Cox
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (827 download)

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Book Synopsis Smoothing Spline Based Test of Model Adequacy in Polynomial Regressio N by : Dennis D. Cox

Download or read book Smoothing Spline Based Test of Model Adequacy in Polynomial Regressio N written by Dennis D. Cox and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spline-based Regression for Nonlinear Models with Multiple Responses

Author : Yuh-Wen Soo
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Spline-based Regression for Nonlinear Models with Multiple Responses by : Yuh-Wen Soo

Download or read book Spline-based Regression for Nonlinear Models with Multiple Responses written by Yuh-Wen Soo and published by . This book was released on 1991 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spline Models for Observational Data

Author : Grace Wahba
Publisher : SIAM
ISBN 13 : 9781611970128
Total Pages : 181 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Spline Models for Observational Data by : Grace Wahba

Download or read book Spline Models for Observational Data written by Grace Wahba and published by SIAM. This book was released on 1990-01-01 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. The estimate is a polynomial smoothing spline. By placing this smoothing problem in the setting of reproducing kernel Hilbert spaces, a theory is developed which includes univariate smoothing splines, thin plate splines in d dimensions, splines on the sphere, additive splines, and interaction splines in a single framework. A straightforward generalization allows the theory to encompass the very important area of (Tikhonov) regularization methods for ill-posed inverse problems. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a wide variety of problems which fall within this framework. Methods for including side conditions and other prior information in solving ill-posed inverse problems are included. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals.

Hypothesis Testing in Smoothing Spline Models and Modeling of Hormone Generating Mechanisms

Author : Anna Liu
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (65 download)

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Book Synopsis Hypothesis Testing in Smoothing Spline Models and Modeling of Hormone Generating Mechanisms by : Anna Liu

Download or read book Hypothesis Testing in Smoothing Spline Models and Modeling of Hormone Generating Mechanisms written by Anna Liu and published by . This book was released on 2004 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Regression Techniques Using R

Author : Daniel B Wright
Publisher : SAGE
ISBN 13 : 1446206025
Total Pages : 217 pages
Book Rating : 4.4/5 (462 download)

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Book Synopsis Modern Regression Techniques Using R by : Daniel B Wright

Download or read book Modern Regression Techniques Using R written by Daniel B Wright and published by SAGE. This book was released on 2009-02-19 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics is the language of modern empirical social and behavioural science and the varieties of regression form the basis of this language. Statistical and computing advances have led to new and exciting regressions that have become the necessary tools for any researcher in these fields. In a way that is refreshingly engaging and readable, Wright and London describe the most useful of these techniques and provide step-by-step instructions, using the freeware R, to analyze datasets that can be located on the books′ webpage: www.sagepub.co.uk/wrightandlondon. Techniques covered in this book include multilevel modeling, ANOVA and ANCOVA, path analysis, mediation and moderation, logistic regression (generalized linear models), generalized additive models, and robust methods. These are all tested out using a range of real research examples conducted by the authors in every chapter. Given the wide coverage of techniques, this book will be essential reading for any advanced undergraduate and graduate student (particularly in psychology) and for more experienced researchers wanting to learn how to apply some of the more recent statistical techniques to their datasets. The Authors are donating all royalties from the book to the American Partnership for Eosinophilic Disorders.

Non-Standard Problems in Inference for Additive and Linear Mixed Models

Author : Sonja Greven
Publisher : Cuvillier Verlag
ISBN 13 : 3867274916
Total Pages : 153 pages
Book Rating : 4.8/5 (672 download)

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Book Synopsis Non-Standard Problems in Inference for Additive and Linear Mixed Models by : Sonja Greven

Download or read book Non-Standard Problems in Inference for Additive and Linear Mixed Models written by Sonja Greven and published by Cuvillier Verlag. This book was released on 2008 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Goodness-of-Fit Tests and Model Validity

Author : C. Huber-Carol
Publisher : Springer Science & Business Media
ISBN 13 : 1461201039
Total Pages : 512 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Goodness-of-Fit Tests and Model Validity by : C. Huber-Carol

Download or read book Goodness-of-Fit Tests and Model Validity written by C. Huber-Carol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas. Key features include: * state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods * systematic presentation with sufficient history and coverage of the fundamentals of the subject * exposure to recent research and a variety of open problems * many interesting real life examples for practitioners * extensive bibliography, with special emphasis on recent literature * subject index This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.

Testing for No Effect in Nonparametric Regression Via Spline Smoothing Techniques

Author : Juei-Chao Chen
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Testing for No Effect in Nonparametric Regression Via Spline Smoothing Techniques by : Juei-Chao Chen

Download or read book Testing for No Effect in Nonparametric Regression Via Spline Smoothing Techniques written by Juei-Chao Chen and published by . This book was released on 1992 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose three statistics for testing that a predictor variable has no effect on the response variable in regression analysis. The test statistics are integrals of squared derivatives of various orders of a periodic smoothing spline fit to the data. The large sample properties of the test statistics are investigated under the null hypothesis and sequences of local alternatives and a Monte Carlo study is conducted to assess finite sample power properties.

Multivariate Statistical Modelling Based on Generalized Linear Models

Author : Ludwig Fahrmeir
Publisher : Springer Science & Business Media
ISBN 13 : 1475734549
Total Pages : 537 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Multivariate Statistical Modelling Based on Generalized Linear Models by : Ludwig Fahrmeir

Download or read book Multivariate Statistical Modelling Based on Generalized Linear Models written by Ludwig Fahrmeir and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is aimed at applied statisticians, graduate students of statistics, and students and researchers with a strong interest in statistics and data analysis. This second edition is extensively revised, especially those sections relating with Bayesian concepts.

Generalized Additive Models

Author : Simon Wood
Publisher : CRC Press
ISBN 13 : 1584884746
Total Pages : 412 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Generalized Additive Models by : Simon Wood

Download or read book Generalized Additive Models written by Simon Wood and published by CRC Press. This book was released on 2006-02-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in widespread use, generalized additive models (GAMs) have evolved into a standard statistical methodology of considerable flexibility. While Hastie and Tibshirani's outstanding 1990 research monograph on GAMs is largely responsible for this, there has been a long-standing need for an accessible introductory treatment of the subject that also emphasizes recent penalized regression spline approaches to GAMs and the mixed model extensions of these models. Generalized Additive Models: An Introduction with R imparts a thorough understanding of the theory and practical applications of GAMs and related advanced models, enabling informed use of these very flexible tools. The author bases his approach on a framework of penalized regression splines, and builds a well-grounded foundation through motivating chapters on linear and generalized linear models. While firmly focused on the practical aspects of GAMs, discussions include fairly full explanations of the theory underlying the methods. Use of the freely available R software helps explain the theory and illustrates the practicalities of linear, generalized linear, and generalized additive models, as well as their mixed effect extensions. The treatment is rich with practical examples, and it includes an entire chapter on the analysis of real data sets using R and the author's add-on package mgcv. Each chapter includes exercises, for which complete solutions are provided in an appendix. Concise, comprehensive, and essentially self-contained, Generalized Additive Models: An Introduction with R prepares readers with the practical skills and the theoretical background needed to use and understand GAMs and to move on to other GAM-related methods and models, such as SS-ANOVA, P-splines, backfitting and Bayesian approaches to smoothing and additive modelling.

Applied Logistic Regression

Author : David W. Hosmer, Jr.
Publisher : John Wiley & Sons
ISBN 13 : 0470582472
Total Pages : 528 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Applied Logistic Regression by : David W. Hosmer, Jr.

Download or read book Applied Logistic Regression written by David W. Hosmer, Jr. and published by John Wiley & Sons. This book was released on 2013-04-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the definitive guide to logistic regression modeling for health science and other applications This thoroughly expanded Third Edition provides an easily accessible introduction to the logistic regression (LR) model and highlights the power of this model by examining the relationship between a dichotomous outcome and a set of covariables. Applied Logistic Regression, Third Edition emphasizes applications in the health sciences and handpicks topics that best suit the use of modern statistical software. The book provides readers with state-of-the-art techniques for building, interpreting, and assessing the performance of LR models. New and updated features include: A chapter on the analysis of correlated outcome data A wealth of additional material for topics ranging from Bayesian methods to assessing model fit Rich data sets from real-world studies that demonstrate each method under discussion Detailed examples and interpretation of the presented results as well as exercises throughout Applied Logistic Regression, Third Edition is a must-have guide for professionals and researchers who need to model nominal or ordinal scaled outcome variables in public health, medicine, and the social sciences as well as a wide range of other fields and disciplines.

A Modern Approach to Regression with R

Author : Simon Sheather
Publisher : Springer Science & Business Media
ISBN 13 : 0387096086
Total Pages : 398 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis A Modern Approach to Regression with R by : Simon Sheather

Download or read book A Modern Approach to Regression with R written by Simon Sheather and published by Springer Science & Business Media. This book was released on 2009-02-27 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on tools and techniques for building regression models using real-world data and assessing their validity. A key theme throughout the book is that it makes sense to base inferences or conclusions only on valid models. Plots are shown to be an important tool for both building regression models and assessing their validity. We shall see that deciding what to plot and how each plot should be interpreted will be a major challenge. In order to overcome this challenge we shall need to understand the mathematical properties of the fitted regression models and associated diagnostic procedures. As such this will be an area of focus throughout the book. In particular, we shall carefully study the properties of resi- als in order to understand when patterns in residual plots provide direct information about model misspecification and when they do not. The regression output and plots that appear throughout the book have been gen- ated using R. The output from R that appears in this book has been edited in minor ways. On the book web site you will find the R code used in each example in the text.