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NEW CONCEPTS AND METHODS—PRE-BAYESIAN ERA

Shoutir Kishore Chatterjee

in Statistical Thought: A Perspective and History

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525318
eISBN:
9780191711657
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525318.003.0006
Subject:
Mathematics, Probability / Statistics

After James Bernoulli, the main contributors to probability theory and its applications in the 18th century worked either to solve more intricate problems of games of chance (De Moivre), or to build ... More


Entropy and Mutual Information

Partha P. Mitra and Hemant Bokil

in Observed Brain Dynamics

Published in print:
2007
Published Online:
May 2009
ISBN:
9780195178081
eISBN:
9780199864829
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195178081.003.0014
Subject:
Neuroscience, Techniques, Molecular and Cellular Systems

In the neuroscience literature, significant use has been made of entropy as a measure of variability, and mutual information as a measure of association. Part of the attraction of these measures ... More


Conclusions

Bernhard Wälchli

in Co-Compounds and Natural Coordination

Published in print:
2005
Published Online:
September 2007
ISBN:
9780199276219
eISBN:
9780191706042
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199276219.003.0008
Subject:
Linguistics, Syntax and Morphology

This chapter summarizes the major findings of the study, including the following: co-compounds are word-like lexical classes used in word domains which express natural coordination. In Eurasian ... More


Continuous Random Numbers

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter extends the development of probability theory to include continuous random variables. Dirac delta functions are used to simplify the transformation of continuous random variables, as ... More


Analog Computers

Gualtiero Piccinini

in Physical Computation: A Mechanistic Account

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199658855
eISBN:
9780191748158
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199658855.003.0013
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Mind

This chapter explicates analog computers in mechanistic terms. Problems with the analog-digital distinction are discussed, in particular with grounding the distinction solely in the ... More


One-Sample and Difference-of-Means Tests

Quan Li

in Using R for Data Analysis in Social Sciences: A Research Project-Oriented Approach

Published in print:
2018
Published Online:
March 2019
ISBN:
9780190656218
eISBN:
9780190656256
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190656218.003.0003
Subject:
Political Science, Political Theory

This chapter demonstrates the types of questions one could ask about a continuous random variable of interest and answer using statistical inference. It provides conceptual preparation for ... More


Cellular Automata

David P. Feldman

in Chaos and Fractals: An Elementary Introduction

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199566433
eISBN:
9780191774966
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199566433.003.0028
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Two-dimensional, discrete dynamical systems consist of two continuous variables, x and y, that get updated at discrete time intervals via a deterministic function. These variables are continuous ... More


The Classical Ideal Gas:Energy-Dependence of Entropy

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter calculates the energy dependence of the entropy of the classical ideal gas using the results for continuous random variables developed in Chapter 5.


Analysis of Covariance: ANCOVA

Andy Hector

in The New Statistics with R: An Introduction for Biologists

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198729051
eISBN:
9780191795855
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198729051.003.0007
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

ANCOVA of designed experiments combines one categorical and one continuous explanatory variable. Panel plots are usually the best way to graphically display ANCOVA designs with a separate linear ... More


Continuous Random Numbers

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.003.0005
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

The theory of probability developed in Chapter 3 for discrete random variables is extended to probability distributions, in order to treat the continuous momentum variables. The Dirac delta function ... More


Characteristics Used as Cutoff Points

Philip M. Rosoff

in Drawing the Line: Healthcare Rationing and the Cutoff Problem

Published in print:
2017
Published Online:
November 2016
ISBN:
9780190206567
eISBN:
9780190206581
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190206567.003.0002
Subject:
Philosophy, Moral Philosophy, General

This chapter describes various metrics that are currently used as cutoff measures as well as those that have been described or proposed by others, such as age. There is a detailed discussion of each ... More


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