Random-Effects Models for Longitudinal Data
1982/12/01 by Nan M. Laird, James H. Ware · 121 citations
Mathematics · Economics, Econometrics and Finance · Environmental Science · #Statistical Methods and Bayesian Inference #Economic and Environmental Valuation #Environmental and Air Quality Management
paper · doi:10.2307/2529876
Abstract
Models for the analysis of longitudinal data must recognize the relationship between serial observations on the same unit. Multivariate models with general covariance structure are often difficult to apply to highly unbalanced data, whereas two-stage random-effects models can be used easily. In two-stage models, the probability distributions for the response vectors of different individuals belong to a single family, but some random-effects parameters vary across individuals, with a distribution specified at the second stage. A general family of models is discussed, which includes both growth models and repeated-measures models as special cases. A unified approach to fitting these models, based on a combination of empirical Bayes and maximum likelihood estimation of model parameters and using the EM algorithm, is discussed. Two examples are taken from a current epidemiological study of the health effects of air pollution.
Cited by
- A Joint Model for Survival and Longitudinal Data Measured with Error
- Unhealthy eating habits, physical exercise and macronutrient intakes are predictors of anthropometric indicators in the Women's Health Trial: Feasibility Study in Minority Populations
- Hierarchical generalized additive models in ecology: an introduction with mgcv
- Dynamic measurement: A theoretical–psychometric paradigm for modern educational psychology
- Diagnostic stability in young children at risk for autism spectrum disorder: a baby siblings research consortium study
- Mapping Aedes aegypti (Diptera: Culicidae) and Aedes albopictus Vector Mosquito Distribution in Brownsville, TX
- Bias-Adjusted Attribution Estimation for Rainfall Enhancement Trials
- Stochastic model for analysis of longitudinal data on aging and mortality
- Exploringthe Relationship Between Corporate Social Performance and Employer Attractiveness
- Systolic Blood Pressure in Childhood Predicts Hypertension and Metabolic Syndrome Later in Life
- The Multilevel Approach to Repeated Measures for Complete and Incomplete Data
- Probing Interactions in Fixed and Multilevel Regression: Inferential and Graphical Techniques
- Investigating Ceiling Effects in Longitudinal Data Analysis
- Cartilage T2 Assessment: Differentiation of Normal Hyaline Cartilage and Reparative Tissue after Arthroscopic Cartilage Repair in Equine Subjects
- Longitudinal Random Forests for Sparse and Irregular Response Trajectories
- Black soldier fly (Hermetia illucens) larvae powder as a larval diet ingredient for mass-rearing Aedes mosquitoes
- A Nondegenerate Penalized Likelihood Estimator for Variance Parameters in Multilevel Models
- Aedes aegyptilarval development and pupal production in the FAO/IAEA mass-rearing rack and factors influencing sex sorting efficiency
- Severity of Emotional and Behavioral Problems Among Poor and Typical Readers
- Meta-Learning Approaches for Speaker-Dependent Voice Fatigue Models
- Dynamic prediction in functional concurrent regression with an application to child growth
- Interregional nonlinear heightdiameter model with random coefficients for stone pine in Spain
- A Mixed-effects Model for Incomplete Data With Batch-Level Abundance-Dependent Missing-Data Mechanism
- Effects of small-scale temperature shifts on Aedes mosquito production and the influence of environmental conditions on quality assessment with the FAO/IAEA flight test device
- The Dynamic ECME Algorithm
- Robustness of Generalized Estimating Equation (GEE) Tests of Significance against Misspecification of the Error Structure Model
- Dynamic Prediction for Hospital Readmission in Patients with Chronic Heart Failure
- A randomized clinical trial of a population- and transtheoretical model-based stress-management intervention.
- Goodness-of-fit tests for functional form of Linear Mixed effects Models
- For high-dimensional hierarchical models, consider exchangeability of effects across covariates instead of across datasets
- Efficacy Analysis in Clinical Trials: A Comprehensive Review of Statistical and Machine Learning Approaches
- Beyond Synthetic Benchmarks: Evaluating LLM Performance on Real-World Class-Level Code Generation
- Using latent representations to link disjoint longitudinal data for mixed-effects regression
- Conclusions beyond support: overconfident estimates in mixed models
- Canonical fundamental skew-t linear mixed models
- Doubly Robust Feature Selection with Mean and Variance Outlier Detection and Oracle Properties
- Prenatal exposure to maternal smoking and offspring DNA methylation across the lifecourse: findings from the Avon Longitudinal Study of Parents and Children (ALSPAC)
- Maximum Likelihood for Generalized Linear Models with Nested Random Effects via High-Order, Multivariate Laplace Approximation
- ECM-based maximum likelihood inference for multivariate linear mixed models with autoregressive errors
- Multilevel Modelling of Complex Survey Data
- Prediction in Multilevel Generalized Linear Models
- Folinic acid improves verbal communication in children with autism and language impairment: a randomized double-blind placebo-controlled trial
- Examining the consequences of angling tournament culling practices on Largemouth Bass
- Computational Strategies for Multivariate Linear Mixed-Effects Models With Missing Values
- Detection of spatiotemporal changepoints: a generalised additive model approach
- Empirical likelihood inference for longitudinal data with covariate measurement errors: An application to the LEAN study
- The Val/Met polymorphism of the brain-derived neurotrophic factor (BDNF) gene predicts decline in perceptual speed in older adults.
- Bayesian Geostatistical Modeling for Cluster Randomized Trials
- Understanding Mechanistic Role of Structural and Functional Connectivity in Tau Propagation Through Multi-Layer Modeling
- Bupropion for Weight Loss: An Investigation of Efficacy and Tolerability in Overweight and Obese Women
- On the unnecessary ubiquity of hierarchical linear modeling.
- Signal-in-noise detection across the lifespan in a mouse model of presbycusis
- Trimmed Constrained Mixed Effects Models: Formulations and Algorithms
- Estimating the size-selection curves of towed gears, traps, nets and hooks
- Functional Linear Regression with Mixed Predictors
- Physiological Responses to Occupational Heat Exposure Among Male Agricultural and Brick‐Field Workers in Eastern India: A Biochemical Perspective
- The sodium correction factor for dogs undergoing treatment for a hyperglycemic crisis is a 1.6-mEq/L decrease in sodium per 100-mg/dL increase in glucose
- Micromechanical characterisation of osteoarthritic subchondral bone by micropillar compression
- Green matters? The effects of green party support, autonomy and capacity on subnational environmental infringements
- Accurate genomic prediction for grain yield and grain moisture content of maize hybrids using multi‐environment data
- Recommendations for the Primary Analysis of Continuous Endpoints in Longitudinal Clinical Trials
- Does leadership gender representativeness improve policy outcomes? Evidence from local governments in China
- Unequally Spaced Longitudinal Data with AR(1) Serial Correlation
- An Interpretable Single-Index Mixed-Effects Model for Non-Gaussian National Survey Data
- Joint modeling with time-dependent treatment and heteroskedasticity: Bayesian analysis with application to the Framingham Heart Study
- Some Conceptual and Statistical Issues in Analysis of Longitudinal Psychiatric Data
- Acupuncture versus cognitive behavioral therapy for anxiety among cancer survivors with insomnia: An exploratory analysis of a randomized clinical trial
- Hypoxia‐induced changes in recovery sleep, core body temperature, urinary 6‐sulphatoxymelatonin and free cortisol after a simulated long‐duration flight
- A new parsimonious model for ordinal longitudinal data with application to subjective evaluations of a gastrointestinal disease
- Estimating Robot Strengths with Application to Selection of Alliance Members in FIRST Robotics Competitions
- Growth performance in pigs derived from in vitro produced embryos is enhanced compared to their artificial insemination-derived counterparts from birth to adulthood
- Bayesian transition models for ordinal longitudinal outcomes
- Quantifying the impact of temperature variation in live wells on Largemouth Bass
- Sex differences in story recall decline in preclinical Alzheimer's disease
- The GMO90+ Project: Absence of Evidence for Biologically Meaningful Effects of Genetically Modified Maize-based Diets on Wistar Rats After 6-Months Feeding Comparative Trial
- Virtual health coaching to improve self-care among informal caregivers of hospitalized older adults during a transition in care: Randomized controlled trial study protocol
- Nonparametric ANCOVA for longitudinal outcomes in a randomized clinical trial
- Effects of Weight-Bearing Biofeedback Training on Functional Movement Patterns Following Total Knee Arthroplasty: A Randomized Controlled Trial
- On Quantification of Borrowing of Information in Hierarchical Bayesian Models
- Gender Differences in Response to Emotional Stress: An Assessment Across Subjective, Behavioral, and Physiological Domains and Relations to Alcohol Craving
- Maternal pre-pregnancy BMI and gestational weight gain, offspring DNA methylation and later offspring adiposity: findings from the Avon Longitudinal Study of Parents and Children
- Sample size calculations for n-of-1 trials
- Generalized Correlation Regression for Disentangling Dependence in Clustered Data
- A Longitudinal Study of Hypertension Risk Factors and Their Relation to Cardiovascular Disease
- Ridge-penalized adaptive Mantel test and its application in imaging genetics
- To Vary or Not To Vary: A Flexible Empirical Bayes Factor for Testing Variance Components
- Streamlined Empirical Bayes Fitting of Linear Mixed Models in Mobile Health
- Predicting Parkinson's Disease Progression Using Statistical and Neural Mixed Effects Models: A Comparative Study on Longitudinal Biomarkers
- Posterior-based proposals for speeding up Markov chain Monte Carlo
- Post-selection inference for linear mixed model parameters using the conditional Akaike information criterion
- Deleterious Effects of a GAD65 Monoclonal Autoantibody on Islet Function
- Bayesian Quantile Regression for Ordinal Longitudinal Data
- Mining Electronic Health Records: A Survey
- Fixed effects model [wikipedia]
- Mixed model [wikipedia]
- Random effects model [wikipedia]
- Individual differences in boys' and girls' timing and tempo of puberty: modeling development with nonlinear growth models. [europepmc]
- Simulation methods to estimate design power: an overview for applied research. [europepmc]
- Experimental Effects and Individual Differences in Linear Mixed Models: Estimating the Relationship between Spatial, Object, and Attraction Effects in Visual Attention. [europepmc]
- Two-year home-based nocturnal noninvasive ventilation added to rehabilitation in chronic obstructive pulmonary disease patients: a randomized controlled trial. [europepmc]
- Pictorial health warnings on cigarette packs in the United States: an experimental evaluation of the proposed FDA warnings. [europepmc]
- Postmenopausal plasma sex hormone levels and breast cancer risk over 20 years of follow-up. [europepmc]
- Relation of neuropathology with cognitive decline among older persons without dementia. [europepmc]
- The role of early-life educational quality and literacy in explaining racial disparities in cognition in late life. [europepmc]
- Identification of longitudinally dynamic biomarkers in Alzheimer's disease cerebrospinal fluid by targeted proteomics. [europepmc]
- Effects of a behavioral and health literacy intervention to reduce sugar-sweetened beverages: a randomized-controlled trial. [europepmc]
- Joint modelling of time-to-event and multivariate longitudinal outcomes: recent developments and issues. [europepmc]
- variancePartition: interpreting drivers of variation in complex gene expression studies. [europepmc]
- Representational models: A common framework for understanding encoding, pattern-component, and representational-similarity analysis. [europepmc]
- Separable systems for recovery of finger strength and control after stroke. [europepmc]
- Role of Somatostatin-Positive Cortical Interneurons in the Generation of Sleep Slow Waves. [europepmc]
- Early- versus late-onset Alzheimer's disease in clinical practice: cognitive and global outcomes over 3 years. [europepmc]
- Maternal choline supplementation during the third trimester of pregnancy improves infant information processing speed: a randomized, double-blind, controlled feeding study. [europepmc]
- Association of Long-Term Adherence to the MIND Diet with Cognitive Function and Cognitive Decline in American Women. [europepmc]
- Effect of Low Back Pain Risk-Stratification Strategy on Patient Outcomes and Care Processes: the MATCH Randomized Trial in Primary Care. [europepmc]
- Association of Cardiovascular Health Level in Older Age With Cognitive Decline and Incident Dementia. [europepmc]
- Optimizing Detection of Kidney Transplant Injury by Assessment of Donor-Derived Cell-Free DNA via Massively Multiplex PCR. [europepmc]
- Hypertension control in integrated HIV and chronic disease clinics in Uganda in the SEARCH study. [europepmc]
- Sleep Deprivation by Exposure to Novel Objects Increases Synapse Density and Axon-Spine Interface in the Hippocampal CA1 Region of Adolescent Mice. [europepmc]
- Bundle analytics, a computational framework for investigating the shapes and profiles of brain pathways across populations. [europepmc]
- Genetic regulation of OAS1 nonsense-mediated decay underlies association with COVID-19 hospitalization in patients of European and African ancestries. [europepmc]
Related