Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
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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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).”
From Prospective and dyadic associations between expectant parents’ prenatal hormone changes and postpartum parenting outcomes (2017) · cites this paper as 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”
From Malleability, plasticity, and individuality: How children learn and develop in context<sup>1</sup> (2019) · cites this paper as Singer & Willett, 2003
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).”
From The cortisol awakening response predicts major depression: predictive stability over a 4-year follow-up and effect of depression history (2013) · cites this paper as 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).”
From The effects of exercise intensity on the cortisol response to a subsequent acute psychosocial stressor. (2021) · cites this paper as 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
Mixed Linear Models are a flexible and appropriate method for longitudinal data analysis that tolerates missing data and does not unnecessarily compromise statistical power.
“Compared to repeated measures ANOVA, this is a flexible and appropriate method for analysis of longitudinal data, where missing data is tolerated, and thus MLM does not unnecessarily compromise statistical power (Singer and Willett, 2003).”
From Group-based compassion-focused therapy for prolonged grief symptoms in adults – Results from a randomized controlled trial (2022) · cites this paper as Singer and Willett, 2003
Daily Fatigue was assessed with the PROMIS fatigue 6-item short-form, which has demonstrated validity across conditions and ecological validity when administered in diary format, and has been linked to legacy fatigue measures in MS.
“Daily Fatigue was assessed with the PROMIS fatigue 6-item short-form, which has demonstrated validity across conditions63,65,66 and ecological validity when administered in diary format67, and has been linked to legacy fatigue measures in MS66.”
From Ecological momentary assessment of pain, fatigue, depressive, and cognitive symptoms reveals significant daily variability in multiple sclerosis (2017) · cites this paper as [67]
Intraclass correlations for recovery experiences ranged from 0.26 to 0.48, for unfinished tasks 0.55, hours spent working 0.30, and progress 0.53, providing evidence that two-thirds to three-quarters of the variance is within persons and warranting the multilevel approach.
“The ICCs (1) for recovery experiences ranged from 0.26 to 0.48 and provide evidence that two-thirds to three-quarters of the variance is within persons. Additional analyses yielded ICCs (1) of 0.55 for unfinished tasks, 0.30 hours spent working, and 0.53 for progress (see Table 2 for all ICCs). Our multilevel approach is therefore warranted [38].”
From Ovsiankina's Great Relief: How Supplemental Work during the Weekend May Contribute to Recovery in the Face of Unfinished Tasks (2017) · cites this paper as [38]
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- Authors
- Singer, J. D., & Willett, J. B.
- Affiliations
- Harvard University (US)
- Publisher
- Oxford University PressNew York
- 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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