EAN: 9789811000768

SPRINGERBRIEFS IN STATISTICS LONGITUDINAL DAT...

This book provides a new analytical approach for dynamic data repeatedly measured from multiple
subjects over time. Random effects account for differences across subjects. Auto-regression in
response itself is often used in time series analysis. In longitudinal data analysis  a static
mixed effects model is changed into a dynamic one by the introduction of the auto-regression
term. Response levels in this model gradually move toward an asymptote or equilibrium which
depends on covariates and random effects. The book provides relationships of the autoregressive
linear mixed effects models with linear mixed effects models  marginal models  transition
models  nonlinear mixed effects models  growth curves  differential equations  and state space
representation. State space representation with a modified Kalman filter provides log
likelihoods for maximum likelihood estimation  and this representation is suitable for
unequally spaced longitudinal data. The extension to multivariate longitudinal data analysis is
also provided. Topics in medical fields  such as response-dependent dose modifications 
response-dependent dropouts  and randomized controlled trials are discussed. The text is
written in plain terms understandable for researchers in other disciplines such as econometrics
sociology  and ecology for the progress of interdisciplinary research.

Aktuelle Preise zur EAN 9789811000768

Produktinformationen zur 9789811000768