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Bayesian model averaging

A tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors

Bibliographic Data

ID23364352
AuthorsJennifer A Hoeting (0000-0003-0414-0193), David Madigan (0000-0001-9754-1011), Adrian E Raftery (0000-0002-6589-301X), Chris Volinsky, Chris T Volinsky
Year1999
Volume14
Issue4
Publication date1999-11-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueStatistical Science (JOURNAL)
Journal identifiersISSN: 0883-4237 • E-ISSN: 2168-8745
PublisherInstitute of Mathematical Statistics (PUBLISHER • US)
DOI10.1214/ss/1009212519
OpenAlexW1603903339
LanguageEN
Citations received160
References cited95

Standard statistical practice ignores model uncertainty. Data analysts typically select a model from some class of models and then proceed as if the selected model had generated the data. This approach ignores the uncertainty in model selection, leading to over-confident inferences and decisions that are more risky than one thinks they are. Bayesian model averaging (BMA)provides a coherent mechanism for accounting for this model uncertainty. Several methods for implementing BMA have recently emerged. We discuss these methods and present a number of examples.In these examples, BMA provides improved out-of-sample predictive performance. We also provide a catalogue of currently available BMA software.

Bayesian inference · Bayesian probability · Class (philosophy) · Econometrics · George (robot) · Machine learning · Model selection · Sample (material) · Selection (genetic algorithm) · Advanced Statistical Methods and Models · Artificial Intelligence · Computer Science · Mathematics · Statistical Methods and Bayesian Inference · Statistical Methods and Inference

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  • What To Do About Atheoretic Lags

    Open Access•Skyler J Cranmer, Sue Cranmer et al.•Political Science Research and…•2017

  • New Tools for Comparing Beliefs about the Timing of Recurrent Events with Climate Time Series Datasets

    Mathew Alexander Stiller-Reeve, Mathew Stiller-Reeve et al.•Weather, Climate, and Society•2016

  • Multi-Model Inference in Biogeography

    Open Access•James D A Millington, James Millington et al.•Geography Compass•2011

  • Meta-analyses are no substitute for registered replications

    Open Access•Michiel Van Elk, Dora Matzke et al.•Frontiers in Psychology•2015

  • A Multi-Center Competing Risks Model and Its Absolute Risk Calculation Approach

    Open Access•Jintao Wang, Zhongshang Yuan et al.•International Journal of…•2019

  • Model Averaging for Improving Inference from Causal Diagrams

    Open Access•Ghassan B Hamra, Jay S Kaufman et al.•International Journal of…•2015

  • Disease Mapping and Regression with Count Data in the Presence of Overdispersion and Spatial Autocorrelation

    Open Access•Mohammadreza Mohebbi, R Wolfe et al.•International Journal of…•2014

  • Bayesian Variable Selection in Cost-Effectiveness Analysis

    Open Access•Miguel A Negrín, Francisco José Vázquez Polo et al.•International Journal of…•2010

  • Chapter 4 Forecast Combinations

    Allan Timmermann•Handbook of economic forecasting•2006

  • MCMCpack

    Open Access•A D Martins, Andrew D Martin et al.•Journal of Statistical Software•2011

  • The Politics of Choice Reconsidered

    Open Access•L Collingwood, Ashley Jochim et al.•State Politics & Policy Quarterly•2018

  • Integrating uncertainty in time series population forecasts

    Open Access•Guy Abel, Jakub Bijak et al.•Demographic Research•2013

  • Point and interval forecasts of age-specific life expectancies

    Open Access•Han Lin Shang•Demographic Research•2012

  • An uncertain future, deep uncertainty, scenarios, robustness and adaptation

    Open Access•Holger R Maier, Joseph H A Guillaume et al.•Environmental Modelling & Software•2016

  • Air pollution and urban structure linkages

    Open Access•Miguel Cárdenas Rodríguez, Laura Dupont-Courtade et al.•Renewable and Sustainable Energy…•2016

  • Partner choice in human evolution

    Open Access•K M Smith, Coren L Apicella•Evolution and Human Behavior•2020

  • An introduction to recursive partitioning

    Carolin Strobl, James D Malley et al.•Psychological Methods•2009

  • The Jasp guidelines for conducting and reporting a Bayesian analysis

    Open Access•Johnny Van Doorn, Don Van Den Bergh et al.•Psychonomic Bulletin & Review•2021

  • The Two-Way Street of Acculturation, Discrimination, and Latino Immigration Restrictionism

    Open Access•Francisco I Pedraza•Political Research Quarterly•2014

  • The Sensitivity of Spatial Regression Models to Network Misspecification

    Open Access•Sebastian Juhl•Political Analysis•2020

  • Retention in medication-assisted treatment programs in Ukraine—Identifying factors contributing to a continuing HIV epidemic

    Open Access•Kostyantyn Dumchev, Sergey Dvoryak et al.•International Journal of Drug…•2017

  • Long-run determinants of pollution

    Open Access•Michael J Lamla•Ecological Economics•2009

  • Digital inequality in the Appalachian Ohio

    Open Access•M Laeeq Khan, Howard T Welser et al.•Telematics and Informatics•2020

  • Generalized Shrinkage Methods for Forecasting Using Many Predictors

    James H Stock, Mark W Watson•Journal of Business and Economic…•2012

  • Macroeconomic Policy and Poverty Reduction

    Alejandro Izquierdo, Ward Brown et al.•Macroeconomic Policy and Poverty…•2001

  • Bayesian model selection for exponential random graph models

    Open Access•A Caimo, Nial Friel•Social Networks•2012

  • Remittances and economic growth

    Open Access•Alina Cazachevici, Tomáš Havránek et al.•World Development•2020

  • Rules and Exceptions

    Open Access•Pushpendra Rana, Ashwini Chhatre•World Development•2015

  • Demographic correlates of moral differences in the contemporary United States

    Open Access•Andrew Miles•Poetics•2014

  • The geography of output volatility

    Open Access•Adeel Malik, Jonathan R W Temple•Journal of Development Economics•2008

  • Cash-plus

    Open Access•Richard Sedlmayr, Anuj Shah et al.•Journal of Development Economics•2019

  • Learning to Evaluate the Impact of Aid

    Open Access•Seiro Ito, Nobuyuki Kobayashi et al.•IDS Bulletin•2009

  • Who participates in conservation incentive programs? Absentee and group landholders are in the mix

    Open Access•Alexander J Bond, Anthelia J Bond et al.•Land Use Policy•2018

  • Gay tourism in a sun and beach destination

    Open Access•Arturo Melián-González, Sergio Moreno Gil et al.•Tourism Management•2011

  • Hospitality innovation strategies

    Open Access•Bernd Ebersberger, Sverre J Herstad et al.•Tourism Management•2021

  • On the Use of Model Averaging in Tourism Research

    Open Access•Alan T K Wan, Xinyu Zhang•Annals of Tourism Research•2009

  • Estimating cartel damages with model averaging approaches

    Open Access•Wen-Jen Tsay, Wen‐jen Tsay•International Review of Law and…•2021

  • Future life expectancy in 35 industrialised countries

    Open Access•Vasilis Kontis, James E Bennett et al.•The Lancet•2017

  • A Statistical Method for Empirical Testing of Competing Theories

    Open Access•Katsushi Imai, Kosuke Imai et al.•American Journal of Political…•2012

  • The Problem of Underdetermination in Model Selection

    Open Access•Michael Schultz•Sociological Methodology•2018

  • Separating the Signal From the Noise

    Open Access•Dennis M Feehan•Demography•2018

  • Bayesian estimation of hispanic fertility hazards from survey and population data

    Open Access•M S Rendall, Mark S Handcock et al.•Demography•2009

  • A Bayesian Semi-Parametric Approach for Modeling Memory Decay in Dynamic Social Networks

    Open Access•Giuseppe Arena, J Mulder et al.•Sociological Methods & Research•2024

  • Multimodel Inference

    Open Access•Kenneth P Burnham, David R Anderson•Sociological Methods & Research•2004

  • Persistent Inequality? Answers From Hybrid Models for Longitudinal Data

    Open Access•Mary Alice Scott, Marc A Scott et al.•Sociological Methods & Research•2005

  • Why birth cohorts commit crime at different rates

    Open Access•William Spelman•Social Science Research•2022

  • Diversification dans les ex-colonies

    Joseph Keneck-Massil, Joseph Keneck‐massil et al.•Revue économique•2021

  • Accounting for Parcel-Allocation Variability in Practice

    Sonya K Sterba, Jason D Rights•Multivariate Behavioral Research•2016

  • Emergency Department Visits and Primary Care Among Adults With Chronic Conditions

    Jane McCusker, Danièle Roberge et al.•Medical Care•2010

  • Uncertainty of the Liberal Peace

    Open Access•Cullen F Goenner•Journal of Peace Research•2004

  • Seven deadly sins of contemporary quantitative political analysis

    Open Access•Philip A Schrodt•Journal of Peace Research•2014

  • Growth Empirics without Parameters

    Open Access•Daniel J Henderson, Chris Papageorgiou et al.•The Economic Journal•2012

  • Bayesian hypothesis testing for psychologists

    Open Access•Eric-Jan Wagenmakers, Tom Lodewyckx et al.•Cognitive Psychology•2010

  • Model Uncertainty in Sociological Research

    Open Access•Cristobal Young•American Sociological Review•2009

  • Determinants of Long-Term Growth

    Xavier Sala-I-Martín, Gernot Doppelhofer et al.•American Economic Review•2004

  • Errors in Statistical Assumptions, Effects of

    Open Access•Mark J Schervish•International Encyclopedia of the…•2015

  • Model Selection and Model Averaging

    Open Access•Gerda Claeskens, Maarten Jansen•International Encyclopedia of the…•2015

  • Sensitivity and specificity of information criteria

    Open Access•John J Dziak, Donna L Coffman et al.•Briefings in Bioinformatics•2020

  • Time Series Analysis of Political Change

    David L Weakliem•Handbooks of Sociology and Social…•2010

  • Socioeconomic status determines Covid-19 incidence and related mortality in Santiago, Chile

    Open Access•Gonzalo E Mena, Pamela P Martinez et al.•Science•2021

  • Understanding predictive information criteria for Bayesian models

    Open Access•Andrew Gelman, Jessica Hwang et al.•Statistics and Computing•2014

  • Practical Bayesian model evaluation using leave-one-out cross-validation and Waic

    Open Access•Aki Vehtari, Andrew Gelman et al.•Statistics and Computing•2017

  • Bayesian model averaging

    Jennifer A Hoeting, David Madigan et al.•Statistical Science•1999

  • Determinants of foreign direct investment

    Open Access•Bruce A Blonigen, Jeremy Piger•Canadian Journal of Economics/Revue…•2014

  • Bayesian inference for psychology. Part II

    Open Access•Eric-Jan Wagenmakers, Jonathon Love et al.•Psychonomic Bulletin & Review•2018

  • AIC model selection and multimodel inference in behavioral ecology

    Open Access•Kenneth P Burnham, David R Anderson et al.•Behavioral Ecology and Sociobiology•2011

  • A survey of cross-validation procedures for model selection

    Open Access•Sylvain Arlot, Alain Celisse•Statistics Surveys•2010

  • Dominance of the mean sea level in the high-percentile sea levels time evolution with respect to large-scale climate variability

    Open Access•Jérémy Rohmer, Gonéri Le Cozannet•Environmental Research Letters•2018

  • Neglecting model structural uncertainty underestimates upper tails of flood hazard

    Open Access•Tony E Wong, Alexandra Klufas et al.•Environmental Research Letters•2018

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    Open Access•Simon Pierre Onana, Tanguy Lomie Mamoho•Economia Politica•2025

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    Frederick L Oswald, Tara S Behrend et al.•Annual Review of Organizational…•2019

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    Open Access•Le Dinh Thang, Nguyen Van Si et al.•Humanities & Social Sciences…•2020

  • A 12-month projection to September 2022 of the Covid-19 epidemic in the UK using a dynamic causal model

    Open Access•Cameron Bowie, Cam Bowie et al.•Frontiers in Public Health•2022

  • Forecasting stock returns with model uncertainty and parameter instability

    Open Access•Hongwei Zhang, Qiang He et al.•Journal of Applied Econometrics•2020

  • On the Performance of Horseshoe Priors for Inducing Sparsity in Structural Equation Models

    Kjorte Harra, David Kaplan•Structural Equation Modeling: A…•2024

  • Variable Selection for Mediators under a Bayesian Mediation Model

    Open Access•Dingjing Shi, Dexin Shi et al.•Structural Equation Modeling: A…•2023

  • With Bayesian estimation one can get all that Bayes factors offer, and more

    Open Access•Jorge Tendeiro, Henk A L Kiers•Psychonomic Bulletin & Review•2023

  • Model-averaged Bayesian t tests

    Open Access•Maximilian Maier, František Bartoš et al.•Psychonomic Bulletin & Review•2025

  • Dissociable associations of alexithymia and altruistic propensity with distinct cognitive processes underlying moral decision making

    Open Access•Suiqing Li, Xinling Chen et al.•Current Psychology•2022

  • Which moral exemplars inspire prosociality

    Hyemin Han, Clifford I Workman et al.•Philosophical Psychology•2022

  • Structural Breaks and Current Accounts in Three Clubs of Eurozone Countries

    Open Access•Fernando Torrejón-Flores, José García‐Solanes•World Economy•2026

  • Which financial inclusion indicators and dimensions matter for income inequality? A Bayesian model averaging approach

    Open Access•Rogelio Mercado, Victor Pontines•Empirical Economics•2024

  • Causal inference with some invalid instrumental variables

    Open Access•Gyuhyeong Goh, Jisang Yu•Oxford Bulletin of Economics and…•2022

  • Going in, moral, circles

    Hyemin Han, Marja Graham•Journal of Moral Education•2025

  • Improved model exploration for the relationship between moral foundations and moral judgment development using Bayesian Model Averaging

    Hyemin Han, Kelsie J Dawson•Journal of Moral Education•2022

  • The role of vacant lots in promoting avian species diversity and occupancy in a post-industrial city

    Open Access•Christopher J Dennison, Amber L Pearson et al.•Landscape and Urban Planning•2026

  • Setting standards for SDLMI fidelity

    Open Access•Karrie A Shogren, Jesse R Pace et al.•Psychology in the Schools•2024

  • Toward a Predictive Model of Success in Contingency Management

    Open Access•Haily K Traxler, Christopher T Franck et al.•The Psychological Record•2026

  • Evaluating explanations for poverty selectivity in foreign aid

    Open Access•Tobias Heinrich, Yoshiharu Kobayashi•Kyklos•2022

  • Shaping strategic arms trade controls

    Open Access•Jeroen Klomp•Kyklos•2022

  • Ordinal models to analyze strategy sophistication

    Open Access•Traci Shizu Kutaka, Pavel Chernyavskiy et al.•Journal of School Psychology•2023

  • Multiple Systems Estimation for Modern Slavery

    Open Access•Serveh Sharifi Far, Ruth King et al.•Crime & Delinquency•2021

  • The emergence of probability

    Ian Hacking•The emergence of probability•1975

  • Graphical Models

    Steffen L Lauritzen•Graphical models•1996

  • Generalized Linear Models

    Open Access•Peter McCullagh, J A Nelder•Generalized Linear Models•1989

  • Combining forecasts

    Open Access•Robert T Clemen•International Journal of…•1989

  • Information Theory and an Extension of the Maximum Likelihood Principle

    Hirotogu Akaike•Selected Papers of Hirotugu Akaike•1998

  • Bayesian model averaging

    Jennifer A Hoeting, David Madigan et al.•Statistical Science•1999

  • The Combination of Forecasts

    Open Access•John M Bates, Clive W J Granger•Journal of the Operational…•1969

  • Densitometric Analysis of Body Composition

    Open Access•Josef Brozek, FRANCISCO GRANDE et al.•Annals of the New York Academy of…•1963

  • Stacked generalization

    Open Access•David H Wolpert•Neural Networks•1992

  • Bayes Estimates for the Linear Model

    Open Access•D V Lindley, A F M Smith•Journal of the Royal Statistical…•1972

  • Bayesian statistical inference for psychological research.

    Ward Edwards, Harold Lindman et al.•Psychological Review•1963

  • Bagging predictors

    Open Access•Leo Breiman•Machine Learning•1996

  • Bayes Factors

    Robert E Kass, Adrian E Raftery•Journal of the American…•1995

  • Estimating the Dimension of a Model

    Gideon Schwarz•The Annals of Statistics•1978

  • Regression Models and Life-Tables

    Open Access•D R Cox•Journal of the Royal Statistical…•1972

  • Structural Equations with Latent Variables

    Open Access•K A Bollen•Structural Equations with Latent…•1989

  • Vague Theory and Model Uncertainty in Macrosociology

    B Western•Sociological Methodology•1996

  • Bayesian Model Selection in Social Research

    Adrian E Raftery•Sociological Methodology•1995

  • Bayes Factors and BIC

    Open Access•Adrian E Raftery•Sociological Methods & Research•1999

  • A Critique of the Bayesian Information Criterion for Model Selection

    Open Access•David L Weakliem•Sociological Methods & Research•1999

Unique citing works160
Citations per year5,93
Citation span1999 - 2026 (28)
Citation velocitycurrent
Highly citedYes
Citation typesNeutral: 98

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