Cited by 10,647Statistical Methods and Bayesian InferenceStatistical Methods and ApplicationsMental Health Research Topics

Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence

Singer, Judith D., Willett, John B.·2003

Abstract

Change is constant in everyday life. Infants crawl and then walk, children learn to read and write, teenagers mature in myriad ways, and the elderly become frail and forgetful. Beyond these natural processes and events, external forces and interventions instigate and disrupt change: test scores may rise after a coaching course, drug abusers may remain abstinent after residential treatment. By charting changes over time and investigating whether and when events occur, researchers reveal the temporal rhythms of our lives. This book is concerned with behavioral, social, and biomedical sciences. It offers a presentation of two of today's most popular statistical methods: multilevel models for individual change and hazard/survival models for event occurrence (in both discrete- and continuous-time). Using data sets from published studies, the book takes you step by step through complete analyses, from simple exploratory displays that reveal underlying patterns through sophisticated specifications of complex statistical models.

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Registry

Crossref · 10.1093/acprof:oso/9780195152968.001.0001

Cites

223 of 223 references verified0 citation errors · 0 not checkable

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  • HLM can adjust for couples completing prenatal visits in different pregnancy weeks and can include all participants when some within-person data are missing.

    “HLM can adjust for the fact that couples completed their prenatal visits in different weeks of pregnancy, and allows for inclusion of all participants when some data (e.g., some prenatal visits) are missing at the within-person level (Singer & Willett, 2003).”
  • Structural analyses and dynamic growth modeling enable the precise examination of source(s) of variation within nonlinear systems of hierarchical complexity, particularly when such methods address intersectionality and do not generalize findings to all human beings or all members of a group.

    “structural analyses and dynamic growth modeling enable the precise examination of source(s) of variation within nonlinear systems of hierarchical complexity, particularly when such methods address intersectionality (Fischer & Kennedy, 1997;Hartelman, van der Maas, & Molenaar, 1998;Singer & Willett, 2003;van Geert, 1991van Geert, , 2003) ) and do not generalize findings to all human beings or all”
  • The study used non-proportional hazards models that do not assume the hazard associated with a predictor is constant across time, permitting examination of interactions with time.

    “In order to examine the predictive stability of the CAR, non-proportional hazards models were employed. Unlike proportional hazards models, such models do not assume that the hazard associated with a particular predictor is constant across time, permitting the examination of interactions with time (Singer & Willett, 2003).”
  • MIXED Syntax with restricted maximum likelihood (REML) estimates were used because they are robust for handling skewed data and computing unbiased estimators.

    “In all analyses, MIXED Syntax with restricted maximum likelihood (REML) estimates were used, as they are robust for handling skewed data (characteristic of sCort studies) and computing unbiased estimators (Raudenbush and Bryk, 2002;Singer and Willett, 2003).”
  • The first goal of a longitudinal analysis is to quantify how the response variable changes over time, and polynomial trend components are the best way to capture when and how response variable changes occur.

    “The first goal of a longitudinal analysis is to quantify how the response variable changes over time, and polynomial trend components are the best way to capture when and how response variable changes occur (Raudenbush and Bryk, 2002; Singer and Willett, 2003).”

    From Time-to-Credit Gender Inequities of First-Year PhD Students in the Biological Sciences (2017) · cites this paper as Singer and Willett, 2003

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Authors
Singer, J. D., & Willett, J. B.
Affiliations
Harvard University (US)
Published
2003-05-08
OpenAlex
W1587682423
Cited by
10,647
References
223
Citations by year
2026: 285 · 2025: 318 · 2024: 328 · 2023: 266 · 2022: 355 · 2021: 470 · 2020: 518 · 2019: 560 · 2018: 585 · 2017: 583 · 2016: 681 · 2015: 700 · 2014: 766 · 2013: 718 · 2012: 658
FWCI
32.40
Type
book
Language
en
Open access
closed
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
  • Social Sciences › Psychology › Experimental and Cognitive Psychology › Mental Health Research Topics
Keywords
longitudinal analysis, multilevel models, personal transformation, survival analysis, hazard models, event occurrence, discrete-time survival models, developmental changes, intervention effects

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