Description
Nonparametric Models for Longitudinal Data
With Implementation in R
Chapman & Hall/CRC Monographs on Statistics and Applied Probability Series
Authors: Wu Colin O., Tian Xin
Language: EnglishSubjects for Nonparametric Models for Longitudinal Data:
Keywords
Time Varying Coefficient Models; Local Polynomial Estimators; longitudinal analysis; Kernel Estimators; nonparametric approaches; CD4 Percentage; biomedical studies; Local Smoothing Methods; NIH clinical trials; Pointwise Confidence Intervals; epidemiological studies; Mixed Effects Models; Simultaneous Confidence Bands; Conditional Distribution Functions; Intra-subject Correlations; Coefficient Curves; Smoothing Parameter; Pe Rc; Design Time Points; Conditional Quantile; Asymptotic Bias; Penalized Smoothing Splines; BDI Score; Local Linear Estimator; Linear Mixed Effects Model; Nonparametric Mixed Effects Models; Smoothing Methods; Conditional Distribution; Concomitant Intervention; Raw Estimates
Publication date: 06-2020
· 15.6x23.4 cm · Paperback
Publication date: 05-2018
· 15.6x23.4 cm · Hardback
Description
/li>Contents
/li>Biography
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Nonparametric Models for Longitudinal Data with Implementations in R presents a comprehensive summary of major advances in nonparametric models and smoothing methods with longitudinal data. It covers methods, theories, and applications that are particularly useful for biomedical studies in the era of big data and precision medicine. It also provides flexible tools to describe the temporal trends, covariate effects and correlation structures of repeated measurements in longitudinal data.
This book is intended for graduate students in statistics, data scientists and statisticians in biomedical sciences and public health. As experts in this area, the authors present extensive materials that are balanced between theoretical and practical topics. The statistical applications in real-life examples lead into meaningful interpretations and inferences.
Features:
- Provides an overview of parametric and semiparametric methods
- Shows smoothing methods for unstructured nonparametric models
- Covers structured nonparametric models with time-varying coefficients
- Discusses nonparametric shared-parameter and mixed-effects models
- Presents nonparametric models for conditional distributions and functionals
- Illustrates implementations using R software packages
- Includes datasets and code in the authors? website
- Contains asymptotic results and theoretical derivations
Both authors are mathematical statisticians at the National Institutes of Health (NIH) and have published extensively in statistical and biomedical journals. Colin O. Wu earned his Ph.D. in statistics from the University of California, Berkeley (1990), and is also Adjunct Professor at the Georgetown University School of Medicine. He served as Associate Editor for Biometrics and Statistics in Medicine, and reviewer for National Science Foundation, NIH, and the U.S. Department of Veterans Affairs. Xin Tian earned her Ph.D. in statistics from Rutgers, the State University of New Jersey (2003). She has served on various NIH committees and collaborated extensively with clinical researchers.
Overview of Longitudinal Analysis. Parametric and Semiparametric Methods. Nonparametric Models for Conditional-Means. Nonparametric Models with Missing. Functional Linear Models. Nonparametric Joint-Models with Survival Data. Methods for Time-Dependent and Outcome-Adaptive Covariate. Nonparametric Models for Distribution Functions. Structural Nonparametric Methods for Quantile Regression. Appendices.
Both authors are mathematical statisticians at the National Institutes of Health (NIH) and have published extensively in statistical and biomedical journals. Colin O. Wu earned his Ph.D. in statistics from the University of California, Berkeley (1990), and is also Adjunct Professor at the Georgetown University School of Medicine. He served as Associate Editor for Biometrics and Statistics in Medicine, and reviewer for National Science Foundation, NIH, and the U.S. Department of Veterans Affairs. Xin Tian earned her Ph.D. in statistics from Rutgers, the State University of New Jersey (2003). She has served on various NIH committees and collaborated extensively with clinical researchers.
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