Bayesian Inference of Robust Growth Mixture Models with Non-ignorable Missing Data

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Publisher :
ISBN 13 :
Total Pages : 253 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Bayesian Inference of Robust Growth Mixture Models with Non-ignorable Missing Data by : Laura Lu

Download or read book Bayesian Inference of Robust Growth Mixture Models with Non-ignorable Missing Data written by Laura Lu and published by . This book was released on 2011 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Missing Data Methodology

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Publisher : CRC Press
ISBN 13 : 1439854629
Total Pages : 590 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Missing Data Methodology by : Geert Molenberghs

Download or read book Handbook of Missing Data Methodology written by Geert Molenberghs and published by CRC Press. This book was released on 2014-11-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Missing data affect nearly every discipline by complicating the statistical analysis of collected data. But since the 1990s, there have been important developments in the statistical methodology for handling missing data. Written by renowned statisticians in this area, Handbook of Missing Data Methodology presents many methodological advances and t

Quantitative Psychology Research

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Publisher : Springer
ISBN 13 : 3319075039
Total Pages : 481 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Quantitative Psychology Research by : Roger E. Millsap

Download or read book Quantitative Psychology Research written by Roger E. Millsap and published by Springer. This book was released on 2014-11-26 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 78th Annual Meeting of the Psychometric Society (IMPS) builds on the Psychometric Society's mission to share quantitative methods relevant to psychology. The chapters of this volume present cutting-edge work in the field. Topics include studies of item response theory, computerized adaptive testing, cognitive diagnostic modeling, and psychological scaling. Additional psychometric topics relate to structural equation modeling, factor analysis, causal modeling, mediation, missing data methods, and longitudinal data analysis, among others. The papers in this volume will be especially useful for researchers in the social sciences who use quantitative methods. Prior knowledge of statistical methods is recommended. The 78th annual meeting took place in Arnhem, The Netherlands between July 22nd and 26th, 2013. The previous volume to showcase work from the Psychometric Society’s Meeting is New Developments in Quantitative Psychology: Presentations from the 77th Annual Psychometric Society Meeting (Springer, 2014).

Moving Beyond Non-Informative Prior Distributions: Achieving the Full Potential of Bayesian Methods for Psychological Research

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Publisher : Frontiers Media SA
ISBN 13 : 2889742148
Total Pages : 197 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Moving Beyond Non-Informative Prior Distributions: Achieving the Full Potential of Bayesian Methods for Psychological Research by : Christoph Koenig

Download or read book Moving Beyond Non-Informative Prior Distributions: Achieving the Full Potential of Bayesian Methods for Psychological Research written by Christoph Koenig and published by Frontiers Media SA. This book was released on 2022-02-01 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Continuous Latent Factor Model for Non-ignorable Missing Data in Longitudinal Studies

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Publisher :
ISBN 13 :
Total Pages : 139 pages
Book Rating : 4.:/5 (87 download)

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Book Synopsis A Continuous Latent Factor Model for Non-ignorable Missing Data in Longitudinal Studies by : Jun Zhang

Download or read book A Continuous Latent Factor Model for Non-ignorable Missing Data in Longitudinal Studies written by Jun Zhang and published by . This book was released on 2013 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many longitudinal studies, especially in clinical trials, suffer from missing data issues. Most estimation procedures assume that the missing values are ignorable or missing at random (MAR). However, this assumption leads to unrealistic simplification and is implausible for many cases. For example, an investigator is examining the effect of treatment on depression. Subjects are scheduled with doctors on a regular basis and asked questions about recent emotional situations. Patients who are experiencing severe depression are more likely to miss an appointment and leave the data missing for that particular visit. Data that are not missing at random may produce bias in results if the missing mechanism is not taken into account. In other words, the missing mechanism is related to the unobserved responses. Data are said to be non-ignorable missing if the probabilities of missingness depend on quantities that might not be included in the model. Classical pattern-mixture models for non-ignorable missing values are widely used for longitudinal data analysis because they do not require explicit specification of the missing mechanism, with the data stratified according to a variety of missing patterns and a model specified for each stratum. However, this usually results in under-identifiability, because of the need to estimate many stratum-specific parameters even though the eventual interest is usually on the marginal parameters. Pattern mixture models have the drawback that a large sample is usually required. In this thesis, two studies are presented. The first study is motivated by an open problem from pattern mixture models. Simulation studies from this part show that information in the missing data indicators can be well summarized by a simple continuous latent structure, indicating that a large number of missing data patterns may be accounted by a simple latent factor. Simulation findings that are obtained in the first study lead to a novel model, a continuous latent factor model (CLFM). The second study develops CLFM which is utilized for modeling the joint distribution of missing values and longitudinal outcomes. The proposed CLFM model is feasible even for small sample size applications. The detailed estimation theory, including estimating techniques from both frequentist and Bayesian perspectives is presented. Model performance and evaluation are studied through designed simulations and three applications. Simulation and application settings change from correctly-specified missing data mechanism to mis-specified mechanism and include different sample sizes from longitudinal studies. Among three applications, an AIDS study includes non-ignorable missing values; the Peabody Picture Vocabulary Test data have no indication on missing data mechanism and it will be applied to a sensitivity analysis; the Growth of Language and Early Literacy Skills in Preschoolers with Developmental Speech and Language Impairment study, however, has full complete data and will be used to conduct a robust analysis. The CLFM model is shown to provide more precise estimators, specifically on intercept and slope related parameters, compared with Roy's latent class model and the classic linear mixed model. This advantage will be more obvious when a small sample size is the case, where Roy's model experiences challenges on estimation convergence. The proposed CLFM model is also robust when missing data are ignorable as demonstrated through a study on Growth of Language and Early Literacy Skills in Preschoolers.

The Prevention and Treatment of Missing Data in Clinical Trials

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Publisher : National Academies Press
ISBN 13 : 030918651X
Total Pages : 163 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Prevention and Treatment of Missing Data in Clinical Trials by : National Research Council

Download or read book The Prevention and Treatment of Missing Data in Clinical Trials written by National Research Council and published by National Academies Press. This book was released on 2010-12-21 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomized clinical trials are the primary tool for evaluating new medical interventions. Randomization provides for a fair comparison between treatment and control groups, balancing out, on average, distributions of known and unknown factors among the participants. Unfortunately, these studies often lack a substantial percentage of data. This missing data reduces the benefit provided by the randomization and introduces potential biases in the comparison of the treatment groups. Missing data can arise for a variety of reasons, including the inability or unwillingness of participants to meet appointments for evaluation. And in some studies, some or all of data collection ceases when participants discontinue study treatment. Existing guidelines for the design and conduct of clinical trials, and the analysis of the resulting data, provide only limited advice on how to handle missing data. Thus, approaches to the analysis of data with an appreciable amount of missing values tend to be ad hoc and variable. The Prevention and Treatment of Missing Data in Clinical Trials concludes that a more principled approach to design and analysis in the presence of missing data is both needed and possible. Such an approach needs to focus on two critical elements: (1) careful design and conduct to limit the amount and impact of missing data and (2) analysis that makes full use of information on all randomized participants and is based on careful attention to the assumptions about the nature of the missing data underlying estimates of treatment effects. In addition to the highest priority recommendations, the book offers more detailed recommendations on the conduct of clinical trials and techniques for analysis of trial data.

Bayesian Hierarchical Models

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Publisher : CRC Press
ISBN 13 : 0429532903
Total Pages : 506 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Bayesian Hierarchical Models by : Peter D. Congdon

Download or read book Bayesian Hierarchical Models written by Peter D. Congdon and published by CRC Press. This book was released on 2019-09-16 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intermediate-level treatment of Bayesian hierarchical models and their applications, this book demonstrates the advantages of a Bayesian approach to data sets involving inferences for collections of related units or variables, and in methods where parameters can be treated as random collections. Through illustrative data analysis and attention to statistical computing, this book facilitates practical implementation of Bayesian hierarchical methods. The new edition is a revision of the book Applied Bayesian Hierarchical Methods. It maintains a focus on applied modelling and data analysis, but now using entirely R-based Bayesian computing options. It has been updated with a new chapter on regression for causal effects, and one on computing options and strategies. This latter chapter is particularly important, due to recent advances in Bayesian computing and estimation, including the development of rjags and rstan. It also features updates throughout with new examples. The examples exploit and illustrate the broader advantages of the R computing environment, while allowing readers to explore alternative likelihood assumptions, regression structures, and assumptions on prior densities. Features: Provides a comprehensive and accessible overview of applied Bayesian hierarchical modelling Includes many real data examples to illustrate different modelling topics R code (based on rjags, jagsUI, R2OpenBUGS, and rstan) is integrated into the book, emphasizing implementation Software options and coding principles are introduced in new chapter on computing Programs and data sets available on the book’s website

Modeling Nonignorable Missing Data for Clustered Longitudinal Discrete Outcomes

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Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Modeling Nonignorable Missing Data for Clustered Longitudinal Discrete Outcomes by : Niko Kaçiroti

Download or read book Modeling Nonignorable Missing Data for Clustered Longitudinal Discrete Outcomes written by Niko Kaçiroti and published by . This book was released on 2002 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bayesian Data Analysis, Third Edition

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Publisher : CRC Press
ISBN 13 : 1439840954
Total Pages : 677 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Bayesian Data Analysis, Third Edition by : Andrew Gelman

Download or read book Bayesian Data Analysis, Third Edition written by Andrew Gelman and published by CRC Press. This book was released on 2013-11-01 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.

Longitudinal Data Analysis

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Publisher : CRC Press
ISBN 13 : 142001157X
Total Pages : 633 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Longitudinal Data Analysis by : Garrett Fitzmaurice

Download or read book Longitudinal Data Analysis written by Garrett Fitzmaurice and published by CRC Press. This book was released on 2008-08-11 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although many books currently available describe statistical models and methods for analyzing longitudinal data, they do not highlight connections between various research threads in the statistical literature. Responding to this void, Longitudinal Data Analysis provides a clear, comprehensive, and unified overview of state-of-the-art theory

Missing Data in Longitudinal Studies

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Publisher : CRC Press
ISBN 13 : 1420011189
Total Pages : 324 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Missing Data in Longitudinal Studies by : Michael J. Daniels

Download or read book Missing Data in Longitudinal Studies written by Michael J. Daniels and published by CRC Press. This book was released on 2008-03-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing from the authors' own work and from the most recent developments in the field, Missing Data in Longitudinal Studies: Strategies for Bayesian Modeling and Sensitivity Analysis describes a comprehensive Bayesian approach for drawing inference from incomplete data in longitudinal studies. To illustrate these methods, the authors employ

Supporting K-12 English Language Learners in Science

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Publisher : Taylor & Francis
ISBN 13 : 1317335546
Total Pages : 266 pages
Book Rating : 4.3/5 (173 download)

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Book Synopsis Supporting K-12 English Language Learners in Science by : Cory Buxton

Download or read book Supporting K-12 English Language Learners in Science written by Cory Buxton and published by Taylor & Francis. This book was released on 2016-11-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contribution of this book is to synthesize important common themes and highlight the unique features, findings, and lessons learned from three systematic, ongoing research and professional learning projects for supporting English learners in science. Each project, based in a different region of the U.S. and focused on different age ranges and target populations, actively grapples with the linguistic implications of the three-dimensional learning required by the Framework for K-12 Science Education and the Next Generation Science Standards. Each chapter provides research-based recommendations for improving the teaching of science to English learners. Offering insights into teacher professional learning as well as strategies for measuring and monitoring how well English learners are learning science and language, this book tells a compelling and inclusive story of the challenges and the opportunities of teaching science to English learners.

Applied Missing Data Analysis

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Publisher : Guilford Publications
ISBN 13 : 1462549861
Total Pages : 563 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis Applied Missing Data Analysis by : Craig K. Enders

Download or read book Applied Missing Data Analysis written by Craig K. Enders and published by Guilford Publications. This book was released on 2022-08-31 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The most user-friendly and authoritative resource on missing data has been completely revised to make room for the latest developments that make handling missing data more effective. The second edition includes new methods based on factored regressions, newer model-based imputation strategies, and innovations in Bayesian analysis. State-of-the-art technical literature on missing data is translated into accessible guidelines for applied researchers and graduate students. The second edition takes an even, three-pronged approach to maximum likelihood estimation (MLE), Bayesian estimation as an alternative to MLE, and multiple imputation. Consistently organized chapters explain the rationale and procedural details for each technique and illustrate the analyses with engaging worked-through examples on such topics as young adult smoking, employee turnover, and chronic pain. The companion website includes datasets and analysis examples from the book, up-to-date software information, and other resources. Subject areas/Key words: advanced quantitative methods, management, survey, longitudinal, structural equation modeling, handling, how to handle, incomplete, multivariate, social research, behavioral sciences, statistical techniques, textbooks, seminars, doctoral courses, multiple imputation, models, MCAR, MNAR, Bayesian Audience: Researchers and graduate students in psychology, education, management, family studies, public health, sociology, and political science"--

Flexible Imputation of Missing Data, Second Edition

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Publisher : CRC Press
ISBN 13 : 0429960352
Total Pages : 444 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Flexible Imputation of Missing Data, Second Edition by : Stef van Buuren

Download or read book Flexible Imputation of Missing Data, Second Edition written by Stef van Buuren and published by CRC Press. This book was released on 2018-07-17 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Missing data pose challenges to real-life data analysis. Simple ad-hoc fixes, like deletion or mean imputation, only work under highly restrictive conditions, which are often not met in practice. Multiple imputation replaces each missing value by multiple plausible values. The variability between these replacements reflects our ignorance of the true (but missing) value. Each of the completed data set is then analyzed by standard methods, and the results are pooled to obtain unbiased estimates with correct confidence intervals. Multiple imputation is a general approach that also inspires novel solutions to old problems by reformulating the task at hand as a missing-data problem. This is the second edition of a popular book on multiple imputation, focused on explaining the application of methods through detailed worked examples using the MICE package as developed by the author. This new edition incorporates the recent developments in this fast-moving field. This class-tested book avoids mathematical and technical details as much as possible: formulas are accompanied by verbal statements that explain the formula in accessible terms. The book sharpens the reader’s intuition on how to think about missing data, and provides all the tools needed to execute a well-grounded quantitative analysis in the presence of missing data.

Multiple Imputation of Missing Data in Practice

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Publisher : CRC Press
ISBN 13 : 0429530978
Total Pages : 419 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Multiple Imputation of Missing Data in Practice by : Yulei He

Download or read book Multiple Imputation of Missing Data in Practice written by Yulei He and published by CRC Press. This book was released on 2021-11-20 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Imputation of Missing Data in Practice: Basic Theory and Analysis Strategies provides a comprehensive introduction to the multiple imputation approach to missing data problems that are often encountered in data analysis. Over the past 40 years or so, multiple imputation has gone through rapid development in both theories and applications. It is nowadays the most versatile, popular, and effective missing-data strategy that is used by researchers and practitioners across different fields. There is a strong need to better understand and learn about multiple imputation in the research and practical community. Accessible to a broad audience, this book explains statistical concepts of missing data problems and the associated terminology. It focuses on how to address missing data problems using multiple imputation. It describes the basic theory behind multiple imputation and many commonly-used models and methods. These ideas are illustrated by examples from a wide variety of missing data problems. Real data from studies with different designs and features (e.g., cross-sectional data, longitudinal data, complex surveys, survival data, studies subject to measurement error, etc.) are used to demonstrate the methods. In order for readers not only to know how to use the methods, but understand why multiple imputation works and how to choose appropriate methods, simulation studies are used to assess the performance of the multiple imputation methods. Example datasets and sample programming code are either included in the book or available at a github site (https://github.com/he-zhang-hsu/multiple_imputation_book). Key Features Provides an overview of statistical concepts that are useful for better understanding missing data problems and multiple imputation analysis Provides a detailed discussion on multiple imputation models and methods targeted to different types of missing data problems (e.g., univariate and multivariate missing data problems, missing data in survival analysis, longitudinal data, complex surveys, etc.) Explores measurement error problems with multiple imputation Discusses analysis strategies for multiple imputation diagnostics Discusses data production issues when the goal of multiple imputation is to release datasets for public use, as done by organizations that process and manage large-scale surveys with nonresponse problems For some examples, illustrative datasets and sample programming code from popular statistical packages (e.g., SAS, R, WinBUGS) are included in the book. For others, they are available at a github site (https://github.com/he-zhang-hsu/multiple_imputation_book)

Methods and Applications of Longitudinal Data Analysis

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Publisher : Elsevier
ISBN 13 : 0128014822
Total Pages : 531 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Methods and Applications of Longitudinal Data Analysis by : Xian Liu

Download or read book Methods and Applications of Longitudinal Data Analysis written by Xian Liu and published by Elsevier. This book was released on 2015-09-01 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods and Applications of Longitudinal Data Analysis describes methods for the analysis of longitudinal data in the medical, biological and behavioral sciences. It introduces basic concepts and functions including a variety of regression models, and their practical applications across many areas of research. Statistical procedures featured within the text include: descriptive methods for delineating trends over time linear mixed regression models with both fixed and random effects covariance pattern models on correlated errors generalized estimating equations nonlinear regression models for categorical repeated measurements techniques for analyzing longitudinal data with non-ignorable missing observations Emphasis is given to applications of these methods, using substantial empirical illustrations, designed to help users of statistics better analyze and understand longitudinal data. Methods and Applications of Longitudinal Data Analysis equips both graduate students and professionals to confidently apply longitudinal data analysis to their particular discipline. It also provides a valuable reference source for applied statisticians, demographers and other quantitative methodologists. From novice to professional: this book starts with the introduction of basic models and ends with the description of some of the most advanced models in longitudinal data analysis Enables students to select the correct statistical methods to apply to their longitudinal data and avoid the pitfalls associated with incorrect selection Identifies the limitations of classical repeated measures models and describes newly developed techniques, along with real-world examples.

Bayesian Growth Mixture Model for Clustering Longitudinal Data

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis Bayesian Growth Mixture Model for Clustering Longitudinal Data by : Zihang Lu

Download or read book Bayesian Growth Mixture Model for Clustering Longitudinal Data written by Zihang Lu and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of growth patterns of longitudinal characteristics are vitally important to improve our understanding of the development course of diseases. In these studies, it is often of great interest to cluster individual trajectories based on repeated measurements collected over time. Non-linear growth trajectories are often seen in practice, and individual data can also be measured sparsely at irregular time points, which may complicate the modeling process. This thesis begins with proposing a shape invariant growth mixture model for better clustering growth trajectory data with these features (Chapter 3). In the proposed model, non-linear patterns are captured by cluster-specific cubic B-spline smoothing functions within a latent class mixed effect model framework, and random effects reflecting the size, timing and intensity of the individual growth trajectories are modeled within each cluster to account for variation that is not explained by latent classes. We also compare our model to the commonly used standard growth mixture model and functional clustering approach. To better understand the clinical implication of different growth patterns, interests are usually not limited to which individuals belong to which subgroup, but also what factors are associated with individuals' class membership. This information could help clinicians provide early intervention to prevent the development of abnormal trajectories and therefore the development of diseases. Despite its importance in facilitating medical findings, little work has been done in selecting the predictors related to class membership in the context of growth mixture models. Therefore, we aim to extend the shape invariant mixture model we proposed to a unified Bayesian growth mixture model to allow incorporating covariates. To achieve this objective, in Chapter 4 we first review the currently available Bayesian variable selection approaches and compare their performance in terms of variable selection and prediction. And in Chapter 5, we propose a unified growth mixture model allowing for simultaneously clustering growth trajectories and selecting important covariates that are associated with the class membership. Bayesian inference via Markov chain Monte Carlo (MCMC) algorithm is implemented to estimate the parameters of interest. Results from analyzing real and simulated data are presented and discussed throughout this thesis.