Applied Data Analytic Techniques for Turning Points Research
Routledge, 2008 - Mathematics - 243 pages
This innovative volume demonstrates the use of a range of statistical approaches that examine "turning points" (a change in direction, magnitude, or meaning) in real data. Analytic techniques are illustrated with real longitudinal data from a variety of fields. As such the book will appeal to a variety of researchers including:
The book opens with the goals and theoretical considerations in defining turning points. An overview of the methods presented in subsequent chapters is then provided. Chapter goals include discriminating "local" from long-term effects, identifying variables altering the connection between trajectories at different life stages, locating non-normative turning points, coping with practical distributional problems in trajectory analyses, and changes in the meaning and connections between variables in the transition to adulthood. From an applied perspective, the book explores such topics as antisocial/aggressive trajectories at different life stages, the impact of imprisonment on criminal behavior, family contact trajectories in the transition to adulthood, sustained effects of substance abuse, alternative models of bereavement, and identifying brain changes associated with the onset of a new brain process.
Ideal for advanced students and researchers interested in identifying significant change in data in a variety of fields including psychology, medicine, education, political science, criminology, and sociology.
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Chapter 2 The interrelationship of temporally distinct risk markers and the transition from childhood physical aggression to adolescent violent delinq...
Chapter 3 Estimating timevarying causes and outcomes with application to incarceration and crime
Chapter 4 Turning points in family contact during emerging adulthood
Competing models of substance abuse and desistance in young adulthood
Chapter 6 Modeling agebased turning points in longitudinal lifespan growth curves of cognition
Modeling betweenperson variability in adjustment to conjugal loss
Chapter 8 Application of change point theory to modeling staterelated activity in fMRI
Chapter 9 Using an econometric model of change points to locate turning points in individual time series
Appendix 1 Computer programs for changepoint analysis
Appendix 2 Equivalent forms of the Level 1 equation for the bereavement model in Chapter 7
Appendix 3A The variance of the EWMA statistic assuming ARMA 11 noise
Appendix 3B Maximum likelihood estimation of change point
Appendix 3C EM algorithm for Gaussian mixture model
Appendix 3D Estimating variance components using restricted maximum likelihood
Chapter 10 Developmental structural change in the maturity of role assumption