Advances in Analysis of Longitudinal Data

Gibbons, Robert D.; Hedeker, Donald; DuToit, Stephen

doi:10.1146/annurev.clinpsy.032408.153550

Cited by 452Statistical Methods and Bayesian InferenceSpatial and Panel Data AnalysisAgriculture, Soil, Plant Science

Advances in Analysis of Longitudinal Data

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Gibbons, Robert D., Hedeker, Donald, DuToit, Stephen·2010·Annual Review of Clinical Psychology

DOI 10.1146/annurev.clinpsy.032408.153550PMC PMC2971698

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Abstract

In this review, we explore recent developments in the area of linear and nonlinear generalized mixed-effects regression models and various alternatives, including generalized estimating equations for analysis of longitudinal data. Methods are described for continuous and normally distributed as well as categorical (binary, ordinal, nominal) and count (Poisson) variables. Extensions of the model to three and four levels of clustering, multivariate outcomes, and incorporation of design weights are also described. Linear and nonlinear models are illustrated using an example involving a study of the relationship between mood and smoking.

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Mixed models will be used to accommodate missing data by randomly deleting missing observations without dropping participants.
“To accommodate missing data, mixed models, which involve randomly deleting missing observations without dropping participants, will be used where appropriate in conducting primary analyses [70].”
From Acceptance and Commitment Therapy preceded by an experimental Attention Bias Modification procedure in recurrent depression: Study protocol for a randomized controlled trial (2018) · cites this paper as [70]
The Mixed-Effects Regression Models section says these models use all available data from each subject and are robust to missing observations, supporting analysis without dropping participants who have incomplete records. It does not describe randomly deleting observations; it says missing data are ignorable when missing responses can be explained by model covariates or the subject’s available responses. (LLM, conf=0.88)
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ADDENDUM
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Gibbons RD 1981 Trend in correlated proportions PhD thesis Univ. Chicago
Hedeker D 1989 Random regression models with autocorrelated errors PhD thesis Univ. Chicago

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Personality Traits Moderate the Effect of Workload Sources on Perceived Workload in Flying Column Police Officers
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Members of the public in the USA, UK, Canada and Australia expressing genetic exceptionalism say they are more willing to donate genomic data
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Benefits Gained, Benefits Lost: Comparing Baby Boomers to Other Generations in a Longitudinal Cohort Study of Self‐Rated Health
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Longitudinal Assessment of Intellectual Abilities of Children With Williams Syndrome: Multilevel Modeling of Performance on the Kaufman Brief Intelligence Test—Second Edition
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Prevalence of childhood stunting and determinants in low and lower-middle income African countries: Evidence from standard demographic and health survey
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Authors: Gibbons, R. D., Hedeker, D., & DuToit, S.
Affiliations: University of Illinois Chicago (US)
ORCID: Gibbons, Robert D.
Hedeker, Donald
Venue: Annual Review of Clinical Psychology
Publisher: Annual Reviews
Published: 2010-03-01
Volume: 6
Issue: 1
Pages: 79-107
ISSN: 1548-5943 (ISSN-L)
1548-5951
DOI: 10.1146/annurev.clinpsy.032408.153550
PMC: PMC2971698
OpenAlex: W2113413884
Cited by: 452
References: 75
Citations by year: 2026: 16 · 2025: 26 · 2024: 35 · 2023: 28 · 2022: 26 · 2021: 40 · 2020: 30 · 2019: 32 · 2018: 48 · 2017: 57 · 2016: 30 · 2015: 24 · 2014: 21 · 2013: 15 · 2012: 17
FWCI: 1.75
Type: journal article
Language: en
Open access: green
www.ncbi.nlm.nih.gov
Locations: Annual Review of Clinical Psychology (publishedVersion)
PubMed (publishedVersion)
Europe PMC (PubMed Central) (acceptedVersion)
PubMed Central (acceptedVersion)
Funders: National Institutes of Health (n44mh32056-10-0-1)
National Institute of Mental Health (R01 MH8012201, N44 MH032056, R01MH080122)
National Cancer Institute (P01CA098262, 5P01CA98262)
Topics: Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Spatial and Panel Data Analysis
Life Sciences › Agricultural and Biological Sciences › Ecology, Evolution, Behavior and Systematics › Agriculture, Soil, Plant Science
Keywords: longitudinal analysis, nonlinear mixed-effects models, generalized estimating equations, categorical outcomes, count data, Poisson regression, multilevel models, multivariate outcomes, design weights
MeSH terms: Humans, Longitudinal Studies, Models, Psychological, Psychology, Clinical

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