## Bayesian Statistical Inference for Psychological Research

*Jie W Weiss and David J Weiss*

### in A Science of Decision Making: The Legacy of Ward Edwards

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195322989
- eISBN:
- 9780199869206
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195322989.003.0012
- Subject:
- Psychology, Cognitive Psychology

This chapter introduces psychologists to the Bayesian outlook in statistics. Bayesian statistics is based on a definition of probability as a particular measure of the opinions of ideally consistent ... More

## Sensory Cue Integration

*Julia Trommershäuser, Konrad Kording, and Michael S. Landy (eds)*

- Published in print:
- 2011
- Published Online:
- September 2012
- ISBN:
- 9780195387247
- eISBN:
- 9780199918379
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195387247.001.0001
- Subject:
- Psychology, Cognitive Neuroscience, Cognitive Psychology

This book provides an introduction into both computational models and experimental paradigms that are concerned with sensory cue integration both within and between sensory modalities. Importantly, ... More

## Statistics and the Scientific Method in Ecology

*Brian Dennis*

### in The Nature of Scientific Evidence: Statistical, Philosophical, and Empirical Considerations

- Published in print:
- 2004
- Published Online:
- February 2013
- ISBN:
- 9780226789552
- eISBN:
- 9780226789583
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226789583.003.0011
- Subject:
- Biology, Ecology

The questioning of science and the scientific method continues within the science of ecology. The use of Bayesian statistical analysis has recently been advocated in ecology, supposedly to aid ... More

## Theoretical statistics and asymptotics

*Nancy Reid*

### in Celebrating Statistics: Papers in honour of Sir David Cox on his 80th birthday

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566540
- eISBN:
- 9780191718038
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566540.003.0004
- Subject:
- Mathematics, Probability / Statistics

This chapter sets out some ideas for incorporating into the teaching of theoretical statistics the advances made in the modern theory of parametric likelihood inference developed since the ... More

## Bayesian methods

*ZIHENG YANG*

### in Computational Molecular Evolution

- Published in print:
- 2006
- Published Online:
- April 2010
- ISBN:
- 9780198567028
- eISBN:
- 9780191728280
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567028.003.0005
- Subject:
- Biology, Evolutionary Biology / Genetics

This chapter provides a brief introduction to the theory and computation of Bayesian statistics and its applications to molecular evolution. It uses simple examples, such as distance estimation under ... More

## Computational Molecular Evolution

*Ziheng Yang*

- Published in print:
- 2006
- Published Online:
- April 2010
- ISBN:
- 9780198567028
- eISBN:
- 9780191728280
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567028.001.0001
- Subject:
- Biology, Evolutionary Biology / Genetics

The field of molecular evolution has experienced explosive growth in recent years due to the rapid accumulation of genetic sequence data, continuous improvements to computer hardware and software, ... More

## Probabilistic Modeling in Physics

*Claus Beisbart*

### in Probabilities in Physics

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199577439
- eISBN:
- 9780191730603
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199577439.003.0006
- Subject:
- Philosophy, Philosophy of Science, Metaphysics/Epistemology

How can probabilistic models from physics represent a target, and how can one understand the probabilities that figure in such models? The aim of this chapter is to answer these questions by ... More

## Introduction

*Paul Damien, Petros Dellaportas, Nicholas G. Polson, and David A. Stephens*

### 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/9780199695607.003.0034
- Subject:
- Mathematics, Probability / Statistics

This introductory chapter begins by noting how the three key ideas in this volume — hierarchical models, Markov chain Monte Carlo, and sequential Monte Carlo — that have revolutionized Bayesian ... More

## Actuarial credibility theory and Bayesian statistics—the story of a special evolution

*Udi Makov*

### 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/9780199695607.003.0027
- Subject:
- Mathematics, Probability / Statistics

Actuarial practitioners and researchers are more open to Bayesian thinking compared to their counterparts in the statistical world. This is evident in the context of credibility theory which adopted ... More

## Bayesian Statistics and Utility Functions in Sensorimotor Control

*Konrad P. Körding and Daniel M. Wolpert*

### in Bayesian Brain: Probabilistic Approaches to Neural Coding

- Published in print:
- 2006
- Published Online:
- August 2013
- ISBN:
- 9780262042383
- eISBN:
- 9780262294188
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262042383.003.0013
- Subject:
- Neuroscience, Disorders of the Nervous System

This chapter, which investigates how decision theory can be applied to the study of sensorimotor control, focuses on the concepts behind Bayesian decision making and their application to decisions in ... More

## Bayesian Theory and Applications

*Paul Damien, Petros Dellaportas, Nicholas G. Polson, and David A. Stephens (eds)*

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199695607
- eISBN:
- 9780191744167
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199695607.001.0001
- Subject:
- Mathematics, Probability / Statistics

The development of hierarchical models and Markov chain Monte Carlo (MCMC) techniques forms one of the most profound advances in Bayesian analysis since the 1970s and provides the basis for advances ... More

## The Probabilistic Mind:: Prospects for Bayesian cognitive science

*Nick Chater and Mike Oaksford (eds)*

- Published in print:
- 2008
- Published Online:
- March 2012
- ISBN:
- 9780199216093
- eISBN:
- 9780191695971
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199216093.001.0001
- Subject:
- Psychology, Cognitive Psychology

The rational analysis method, first proposed by John R. Anderson, has been enormously influential in helping us understand high-level cognitive processes. This book is a follow-up to ‘Rational Models ... More

## Quantitative Approaches: Mathematical Metaphors for Eternity

*Andrew R. Hom*

### in International Relations and the Problem of Time

- Published in print:
- 2020
- Published Online:
- July 2020
- ISBN:
- 9780198850014
- eISBN:
- 9780191884474
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198850014.003.0007
- Subject:
- Political Science, International Relations and Politics

Chapter six confronts the hard case of quantitative research, which seems firmly based on “timeless” mathematical formulas and Western standard time. It thus appears most resistant to interpretation ... More

## Bayesian estimation and inference

*M. D. Edge*

### in Statistical Thinking from Scratch: A Primer for Scientists

- Published in print:
- 2019
- Published Online:
- October 2019
- ISBN:
- 9780198827627
- eISBN:
- 9780191866463
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198827627.003.0012
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

Bayesian methods allow researchers to combine precise descriptions of prior beliefs with new data in a principled way. The main object of interest in Bayesian statistics is the posterior ... More

## The Hidden Histories of Statistical Tests

*Harry Collins*

### in Gravity's Ghost and Big Dog: Scientific Discovery and Social Analysis in the Twenty-First Century

- Published in print:
- 2013
- Published Online:
- May 2014
- ISBN:
- 9780226052298
- eISBN:
- 9780226052328
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226052328.003.0006
- Subject:
- History, History of Science, Technology, and Medicine

Statistical tests appear to be merely matters of calculation but they depend on all manner of assumptions and things that cannot be known. The war between Bayesians and Frequentists is explained.

## Planning, choosing, and using statistics

*David J. Gibson*

### in Methods in Comparative Plant Population Ecology, Second Edition

- Published in print:
- 2014
- Published Online:
- January 2015
- ISBN:
- 9780199671465
- eISBN:
- 9780191792496
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199671465.003.0007
- Subject:
- Biology, Plant Sciences and Forestry

Using the correct statistics to analyse data is a matter of advance planning to collect the appropriate data. This chapter describes the background to planning and choosing appropriate statistical ... More

## The Nature of Scientific Evidence: A Forward-Looking Synthesis

*Mark L. Taper and Subhash R. Lele*

### in The Nature of Scientific Evidence: Statistical, Philosophical, and Empirical Considerations

- Published in print:
- 2004
- Published Online:
- February 2013
- ISBN:
- 9780226789552
- eISBN:
- 9780226789583
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226789583.003.0016
- Subject:
- Biology, Ecology

A method that has proved extremely successful in the history of science is to take ideas about how nature works, whether obtained deductively or inductively, and translate them into quantitative ... More

## Exchangeability and its ramifications

*A. Philip Dawid*

### 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/9780199695607.003.0002
- Subject:
- Mathematics, Probability / Statistics

Bruno de Finetti's concept of exchangeability and its associated mathematics form one of the cornerstones of subjectivist Bayesian inference, providing Bayesians with a good reason to take seriously ... More

##
The Cultural Significance of *k*-NN

*James E. Dobson*

### in Critical Digital Humanities: The Search for a Methodology

- Published in print:
- 2019
- Published Online:
- September 2019
- ISBN:
- 9780252042270
- eISBN:
- 9780252051111
- Item type:
- chapter

- Publisher:
- University of Illinois Press
- DOI:
- 10.5622/illinois/9780252042270.003.0004
- Subject:
- Literature, Criticism/Theory

This chapter turns to a lower level of computation to produce a cultural critique and historicization of one of the most important algorithms used in digital humanities and other big-data ... More

## Observables and models: exchangeability and the inductive argument

*Micheal Goldstein*

### 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/9780199695607.003.0001
- Subject:
- Mathematics, Probability / Statistics

This chapter first provides an elementary and self-contained account of the notion of exchangeability and the derivation of Bruno de Finetti's representation theorem, which shows how to construct ... More