Antedependence Models for Longitudinal Data

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A01=Dale L. Zimmerman
A01=Vicente A. Nunez-Anton
ad hoc code
Ad Model
advanced covariance modeling techniques
antedependence models
Author_Dale L. Zimmerman
Author_Vicente A. Nunez-Anton
autoregressive
Autoregressive Coefficients
Category=PBT
Category=PS
coefficients
correlation
covariance
Covariance Structure
covariance structure modeling
Dale L. Zimmerman
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eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Graphical Diagnostics
likelihood estimation
Likelihood Ratio Test Statistic
likelihood ratio testing
Likelihood Ratio Tests
Log ?i
Log Δi
longitudinal data
longitudinal statistical inference
LRT Modify
Marginal Correlations
Marginal Covariance Structure
Marginal Variances
matrix
maximum likelihood estimation
Maximum Likelihood Estimators
Normal Multivariate Regression
partial
Partial Correlations
Partial Regression Plots
penalized
penalized likelihood criteria
Positive Definite Covariance Matrix
precision
Precision Matrix
Profile Log Likelihood Function
Random Coefficient Models
REML Estimate
REML Estimator
SAS PROC MIXED
serial correlation analysis
Split Times
Stationary Autoregressive Models
structure
structured
Structured Antedependence Model

Product details

  • ISBN 9781138113626
  • Weight: 530g
  • Dimensions: 156 x 234mm
  • Publication Date: 14 Jun 2017
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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The First Book Dedicated to This Class of Longitudinal Models

Although antedependence models are particularly useful for modeling longitudinal data that exhibit serial correlation, few books adequately cover these models. By gathering results scattered throughout the literature, Antedependence Models for Longitudinal Data offers a convenient, systematic way to learn about antedependence models. Illustrated with numerous examples, the book also covers some important statistical inference procedures associated with these models.

After describing unstructured and structured antedependence models and their properties, the authors discuss informal model identification via simple summary statistics and graphical methods. They then present formal likelihood-based procedures for normal antedependence models, including maximum likelihood and residual maximum likelihood estimation of parameters as well as likelihood ratio tests and penalized likelihood model selection criteria for the model’s covariance structure and mean structure. The authors also compare the performance of antedependence models to other models commonly used for longitudinal data.

With this book, readers no longer have to search across widely scattered journal articles on the subject. The book provides a thorough treatment of the properties and statistical inference procedures of various antedependence models.

Dale L. Zimmerman is a professor in the Department of Statistics and Actuarial Science at the University of Iowa.

Vicente A. Núnez-Antón is a professor in the Department of Econometrics and Statistics at The University of the Basque Country.

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