## Procrustes Problems

*John C Gower and Garmt B Dijksterhuis*

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198510581
- eISBN:
- 9780191708961
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198510581.001.0001
- Subject:
- Mathematics, Probability / Statistics

Procrustean methods are used to transform one set of data to represent another set of data as closely as possible. This book unifies several strands in the literature and contains new algorithms. It ... More

## Determining Sample Size: Balancing Power, Precision, and Practicality

*Patrick Dattalo*

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195315493
- eISBN:
- 9780199865475
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195315493.001.0001
- Subject:
- Social Work, Research and Evaluation

Sample size determination is an important and often difficult step in planning an empirical study. From a statistical perspective, sample size depends on the following factors: type of analysis to be ... More

## Statistical Power Analysis

*Patrick Dattalo*

### in Determining Sample Size: Balancing Power, Precision, and Practicality

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195315493
- eISBN:
- 9780199865475
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195315493.003.0002
- Subject:
- Social Work, Research and Evaluation

This chapter provides a brief description of the rationale and limitations of statistical power analysis, and presents important issues related to determining sample size for both commonly used and ... More

## Worked Examples

*Patrick Dattalo*

### in Determining Sample Size: Balancing Power, Precision, and Practicality

- Published in print:
- 2008
- Published Online:
- January 2009
- ISBN:
- 9780195315493
- eISBN:
- 9780199865475
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195315493.003.0006
- Subject:
- Social Work, Research and Evaluation

This chapter demonstrates a priori sample size determination strategies presented in previous chapters. Specifically, for each procedure, minimum sample size are estimated with power analysis and ... More

## The New Statistics with R: An Introduction for Biologists

*Andy Hector*

- Published in print:
- 2021
- Published Online:
- August 2021
- ISBN:
- 9780198798170
- eISBN:
- 9780191839399
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198798170.001.0001
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

Statistics is a fundamental component of the scientific toolbox, but learning the basics of this area of mathematics is one of the most challenging parts of a research training. This book gives an ... More

## Motivation

*Andy Hector*

### in The New Statistics with R: An Introduction for Biologists

- Published in print:
- 2021
- Published Online:
- August 2021
- ISBN:
- 9780198798170
- eISBN:
- 9780191839399
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198798170.003.0002
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

This chapter introduces a motivating example (which is returned to at the end of the book)—analysis of data from the Space Shuttle Challenger disaster. The chapter illustrates the importance of ... More

## Testing

*Andy Hector*

### in The New Statistics with R: An Introduction for Biologists

- Published in print:
- 2021
- Published Online:
- August 2021
- ISBN:
- 9780198798170
- eISBN:
- 9780191839399
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198798170.003.0009
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

This chapter reanalyses the Darwin’s maize data that were introduced in earlier chapters. Here, t-tests and confidence intervals are used and compared with the ANOVA approach. Confidence intervals ... More

## Statistical Tests of Type I Error

*Charles Auerbach*

### in SSD for R: An R Package for Analyzing Single-Subject Data

- Published in print:
- 2021
- Published Online:
- December 2021
- ISBN:
- 9780197582756
- eISBN:
- 9780197582787
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780197582756.003.0006
- Subject:
- Social Work, Research and Evaluation

This chapter covers tests of statistical significance that can be used to compare data across phases. These are used to determine whether observed outcomes are likely the result of an intervention ... More

## Inferential statistics: Differences

*Aaron Williamon, Jane Ginsborg, Rosie Perkins, and George Waddell*

### in Performing Music Research: Methods in Music Education, Psychology, and Performance Science

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198714545
- eISBN:
- 9780191883071
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198714545.003.0012
- Subject:
- Psychology, Developmental Psychology, Music Psychology

Chapter 12 of Performing Music Research considers statistical tests designed for use in experimental, survey, and observational research to compare differences between groups. It describes three ... More

## Materials and Methods

*Yuri. L. R. Leite*

### in Evolution and Systematics of the Atlantic Tree Rats, Genus Phyllomys (Rodentia, Echimyidae), With Description of Two New Species

- Published in print:
- 2003
- Published Online:
- March 2012
- ISBN:
- 9780520098497
- eISBN:
- 9780520916074
- Item type:
- chapter

- Publisher:
- University of California Press
- DOI:
- 10.1525/california/9780520098497.003.0002
- Subject:
- Biology, Animal Biology

Specimens of Phyllomys consist of skins, skulls, post-cranial skeletons, and fluid-preserved material housed. Specimens used in the molecular analyses were collected in the field during several ... More

## Statistical Strategies for Translational ERP Studies

*Todd C. Handy, Lindsay S. Nagamatsu, Marla J. S. Mickleborough, and Teresa Y. L. Liu-Ambrose*

### in Brain Signal Analysis: Advances in Neuroelectric and Neuromagnetic Methods

- Published in print:
- 2009
- Published Online:
- August 2013
- ISBN:
- 9780262013086
- eISBN:
- 9780262258876
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262013086.003.0009
- Subject:
- Neuroscience, Techniques

This chapter concentrates on the traditional least squares approach to equal means testing in general, and univariate repeated-measures ANOVA as typically applied to event-related potential (ERP) ... More

## Doing your Statistics in R: Getting Started

*Andrew P. Beckerman and Owen L. Petchey*

### in Getting Started with R: An introduction for biologists

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780199601615
- eISBN:
- 9780191774539
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199601615.003.0005
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter presents a workflow for implementing and interpreting t-tests, chi-square tests, and general linear models. It begins by looking at how to implement a chi-square contingency table ... More

## Multivariate Analysis of Variance: Overview and Key Concepts

*Patrick Dattalo*

### in Analysis of Multiple Dependent Variables

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199773596
- eISBN:
- 9780199332564
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199773596.003.0002
- Subject:
- Social Work, Research and Evaluation

This chapter presents multivariate analysis of variance (MANOVA) as a generalization of the t-test and analysis of variance (ANOVA). The t-test is a strategy to test hypotheses about differences ... More

## Single-stage cluster sampling: Clusters of equal size

*David G. Hankin, Michael S. Mohr, and Ken B. Newman*

### in Sampling Theory: For the Ecological and Natural Resource Sciences

- Published in print:
- 2019
- Published Online:
- December 2019
- ISBN:
- 9780198815792
- eISBN:
- 9780191853463
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198815792.003.0006
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

Similar to strata, population units may instead be grouped into clusters. Usually, units within clusters are geographically or genetically close to one another—all households on a city block, ... More

## Comparing Groups: Analysis of Variance

*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/9780198729051.003.0002
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

Analysis of variance is introduced using a worked analysis of some data collected by Charles Darwin on inbreeding depression in experimental maize plants. ANOVA is used to compare the height of a ... More

## Comparing Groups: Student’s t-test

*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/9780198729051.003.0003
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

This chapter re-analyses Darwin’s maize data that were introduced in Chapter 2. Here t-tests and confidence intervals are used and compared with the ANOVA approach. Confidence intervals are ... More

## Discrepancy to Variability

*Steven J. Osterlind*

### in The Error of Truth: How History and Mathematics Came Together to Form Our Character and Shape Our Worldview

- Published in print:
- 2019
- Published Online:
- January 2019
- ISBN:
- 9780198831600
- eISBN:
- 9780191869532
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198831600.003.0014
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter describes quantification during the late nineteenth century. Then, most ordinary people were gaining an overt awareness, and probability notions were seeping into everyday conversation ... More

## Basic Statistical Analyses using R

*Justin C. Touchon*

### in Applied Statistics with R: A Practical Guide for the Life Sciences

- Published in print:
- 2021
- Published Online:
- August 2021
- ISBN:
- 9780198869979
- eISBN:
- 9780191905537
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198869979.003.0005
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

What are normal data? What are non-normal data? How do you tell them apart and how do you know what sort of data you have? Chapter 5 begins teaching statistical analysis with a focus on understanding ... More

## More Linear Models in R!

*Justin C. Touchon*

### in Applied Statistics with R: A Practical Guide for the Life Sciences

- Published in print:
- 2021
- Published Online:
- August 2021
- ISBN:
- 9780198869979
- eISBN:
- 9780191905537
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198869979.003.0006
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

Chapter 6 continues exploring the world of statistics that are covered within the linear model, namely two-way and three-way ANOVA, linear regression and analysis of covariance (ANCOVA). In each type ... More

## Analysis of the Habitat Associations of a Hypothetical Beetle Species

*Joseph A. Veech*

### in Habitat Ecology and Analysis

- Published in print:
- 2021
- Published Online:
- February 2021
- ISBN:
- 9780198829287
- eISBN:
- 9780191868078
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198829287.003.0008
- Subject:
- Biology, Ecology, Biomathematics / Statistics and Data Analysis / Complexity Studies

A dataset for a hypothetical ground-dwelling beetle species is used to illustrate five methods of habitat analysis: (1) comparison of group means, (2) multiple linear regression, (3) multiple ... More