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Bayesian Statistical Inference

Željko Ivezi, Andrew J. Connolly, Jacob T. VanderPlas, Alexander Gray, Željko Ivezi, Andrew J. Connolly, Jacob T. VanderPlas, and Alexander Gray

in Statistics, Data Mining, and Machine Learning in Astronomy: A Practical Python Guide for the Analysis of Survey Data

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691151687
eISBN:
9781400848911
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691151687.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter introduces the most important aspects of Bayesian statistical inference and techniques for performing such calculations in practice. It first reviews the basic steps in Bayesian ... More


Developing predictive models

E. J. Milner-Gulland and Marcus Rowcliffe

in Conservation and Sustainable Use: A Handbook of Techniques

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198530367
eISBN:
9780191713095
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530367.003.0005
Subject:
Biology, Biodiversity / Conservation Biology

The effective management of natural resources use requires a mechanistic understanding of the system, not just correlations between variables of the kind discussed in Chapter 4. Understanding may ... More


Hierarchical Bayesian Models

N. Thompson Hobbs and Mevin B. Hooten

in Bayesian Models: A Statistical Primer for Ecologists

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691159287
eISBN:
9781400866557
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159287.003.0006
Subject:
Biology, Ecology

This chapter seeks to explain hierarchical models and how they differ from simple Bayesian models and to illustrate building hierarchical models using mathematically correct expressions. It begins ... More


Thinking about Evidence1

DAVID LAGNADO

in Evidence, Inference and Enquiry

Published in print:
2011
Published Online:
January 2013
ISBN:
9780197264843
eISBN:
9780191754050
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264843.003.0007
Subject:
Sociology, Methodology and Statistics

This chapter argues that people reason about legal evidence using small-scale qualitative networks. These cognitive networks are typically qualitative and incomplete, and based on people's causal ... More


Simple Bayesian Models

N. Thompson Hobbs and Mevin B. Hooten

in Bayesian Models: A Statistical Primer for Ecologists

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691159287
eISBN:
9781400866557
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159287.003.0005
Subject:
Biology, Ecology

This chapter lays out the basic principles of Bayesian inference, building on the concepts of probability developed in Chapter 3. It seeks to use the rules of probability to show how Bayes' theorem ... More


Bayesian Models: A Statistical Primer for Ecologists

N. Thompson Hobbs and Mevin B. Hooten

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691159287
eISBN:
9781400866557
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159287.001.0001
Subject:
Biology, Ecology

Bayesian modeling has become an indispensable tool for ecological research because it is uniquely suited to deal with complexity in a statistically coherent way. This book provides a comprehensive ... More


Writing Bayesian Models

N. Thompson Hobbs and Mevin B. Hooten

in Bayesian Models: A Statistical Primer for Ecologists

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691159287
eISBN:
9781400866557
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159287.003.0010
Subject:
Biology, Ecology

This chapter offers a general set of steps for writing models to assist the researcher in formulating their own approach to the Bayesian model. The crucial skill of specifying models is often ... More


Humans' Multisensory Perception, from Integration to Segregation, Follows Bayesian Inference

Ladan Shams and Ulrik Beierholm

in Sensory Cue Integration

Published in print:
2011
Published Online:
September 2012
ISBN:
9780195387247
eISBN:
9780199918379
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195387247.003.0013
Subject:
Psychology, Cognitive Neuroscience, Cognitive Psychology

This chapter first discusses experimental findings showing that multisensory perception encompasses a spectrum of phenomena ranging from full integration (or fusion), to partial integration, to ... More


Spatial variation in risk

Dirk U. Pfeiffer, Timothy P. Robinson, Mark Stevenson, Kim B. Stevens, David J. Rogers, and Archie C. A. Clements

in Spatial Analysis in Epidemiology

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198509882
eISBN:
9780191709128
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509882.003.0006
Subject:
Biology, Disease Ecology / Epidemiology

This chapter discusses spatial variation in risk. Epidemiological disease investigations should include an assessment of the spatial variation of disease risk, as this may provide important clues ... More


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N. Thompson Hobbs and Mevin B. Hooten

in Bayesian Models: A Statistical Primer for Ecologists

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691159287
eISBN:
9781400866557
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159287.003.0001
Subject:
Biology, Ecology

This chapter sketches an approach to inference applicable to an enormous range of research problems—one that can be understood from first principles and that can be unambiguously communicated to ... More


Characterizing Uncertainty of Future Climate Change Projections using Hierarchical Bayesian Models *

Claudia Tebaldi, Bruno Sansó, and Richard L. Smith

in Bayesian Statistics 9

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199694587
eISBN:
9780191731921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199694587.003.0021
Subject:
Mathematics, Probability / Statistics

The use of projections from ensembles of climate models to characterize fu ture climate change at regional scales has become the most widely adopted framework, as opposed to what was standard ... More


Optimal Random Exploration for Trade‐related Nonindigenous Species Risk

Michael Springborn, Christopher Costello, and Peyton Ferrier

in Bioinvasions and Globalization: Ecology, Economics, Management, and Policy

Published in print:
2009
Published Online:
May 2010
ISBN:
9780199560158
eISBN:
9780191721557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199560158.003.0010
Subject:
Biology, Ecology, Biodiversity / Conservation Biology

This chapter identifies variables from the port inspection setting that influence the gains to exploration via random inspections. It begins by describing a Bayesian learning model of trade-related ... More


Surviving fully Bayesian nonparametric regression models

Timothy E. Hanson and Alejandro Jara

in Bayesian Theory and Applications

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199695607
eISBN:
9780191744167
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199695607.003.0030
Subject:
Mathematics, Probability / Statistics

This chapter compares two Bayesian nonparametric models that generalize the accelerated failure time model, based on recent work on probability models for predictor-dependent probability ... More


Investigating the genetic association between diabetes and malaria: an application of Bayesian ecological regression models with errors in covariates

L. Bernardinelli, C. Pascutto, C. Montomoli, and W. Gilks

in Spatial Epidemiology: Methods and Applications

Published in print:
2001
Published Online:
September 2009
ISBN:
9780198515326
eISBN:
9780191723667
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198515326.003.0016
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

This chapter describes a Bayesian hierarchical model and applies it to a new dataset on insulin-dependent diabetes mellitus (IDDM) prevalence among 18-year-old males born in Sardinia between 1936 and ... More


Bayesian methods for mapping disease risk

D. Clayton and L. Bernardinelli

in Geographical and Environmental Epidemiology: Methods for Small Area Studies

Published in print:
1996
Published Online:
September 2009
ISBN:
9780192622358
eISBN:
9780191723636
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780192622358.003.0018
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

The construction of disease maps has been a central problem of descriptive epidemiology throughout its history. There are two main classes of disease maps: maps of standardized rates, and maps of ... More


Bayesianism

Brian D. Haig

in The Philosophy of Quantitative Methods: Understanding Statistics

Published in print:
2018
Published Online:
January 2018
ISBN:
9780190222055
eISBN:
9780190871734
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190222055.003.0004
Subject:
Psychology, Social Psychology

Chapter 4 focuses on Bayesian confirmation theory, a formal theory of reasoning based on probability theory. It deals with important, and related, general ideas, such as rationality, confirmation, ... More


Domestic Coalition Shifts in War Termination

in Paths to Peace: Domestic Coalition Shifts, War Termination and the Korean War

Published in print:
2009
Published Online:
June 2013
ISBN:
9780804762694
eISBN:
9780804772372
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804762694.003.0002
Subject:
Political Science, Conflict Politics and Policy

This chapter outlines the existing literature about war termination. It demonstrates that there is a causal connection between the difficulty of ending wars and the fact that they are started and ... More


Analysis of Short-term Selection Experiments: 2. Mixed-model and Bayesian Approaches

Bruce Walsh and Michael Lynch

in Evolution and Selection of Quantitative Traits

Published in print:
2018
Published Online:
September 2018
ISBN:
9780198830870
eISBN:
9780191868986
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198830870.003.0019
Subject:
Biology, Evolutionary Biology / Genetics, Biochemistry / Molecular Biology

When the full pedigree of individuals whose values (records) were used in the selection decisions during an experiment (or breeding program) is known, LS analysis can be replaced by mixed models and ... More


Bayesian Hierarchical Modeling of Public Health Surveillance Data: A Case Study of Air Pollution and Mortality

Scott L. Zeger, Francesca Dominici, Aidan Mcdermott, and Jonathan M. Samet

in Monitoring the Health of Populations: Statistical Principles and Methods for Public Health Surveillance

Published in print:
2003
Published Online:
September 2009
ISBN:
9780195146493
eISBN:
9780199864928
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195146493.003.0010
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

This chapter illustrates the use of log-linear regression and hierarchical models to estimate the association of daily mortality with acute exposure to particulate air pollution. It focuses on ... More


Statistical Methods in Spatial Epidemiology

Samson Y. Gebreab

in Neighborhoods and Health

Published in print:
2018
Published Online:
April 2018
ISBN:
9780190843496
eISBN:
9780190843533
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190843496.003.0004
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

Most studies evaluating relationships between neighborhood characteristics and health neglect to examine and account for the spatial dependency across neighborhoods, that is, how neighboring areas ... More


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