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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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