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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


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


Analysis of Variance (ANOVA) and Covariance (ANCOVA)

Karen A. Randolph and Laura L. Myers

in Basic Statistics in Multivariate Analysis

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199764044
eISBN:
9780199332533
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199764044.003.0006
Subject:
Social Work, Research and Evaluation

Chapter 6 provides a description of one-way and two-way Analysis of Variance (ANOVA) and Analysis of Covariance (ANCOVA) statistical procedures. The chapter includes a presentation on the basic ... 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


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


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


Introducing Statistics in R

Andrew P. Beckerman, Dylan Z. Childs, and Owen L. Petchey

in Getting Started with R: An Introduction for Biologists

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198787839
eISBN:
9780191829659
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198787839.003.0005
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

Here we cover how to do some basic statistical tests in R, including the t-test, chi-square contingency table analysis, simple linear regression, and a one-way ANOVA. We offer a robust, reliable, and ... More


Advancing Your Statistics in R

Andrew P. Beckerman, Dylan Z. Childs, and Owen L. Petchey

in Getting Started with R: An Introduction for Biologists

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198787839
eISBN:
9780191829659
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198787839.003.0006
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

Taking off from the previous chapter, and following the same workflow, we show you how to make R perform two slightly more complex statistical tests, including the two-way ANOVA and analysis of ... More


Directed projects in a mathematical statistics course

Andrew Gelman and Deborah Nolan

in Teaching Statistics: A Bag of Tricks

Published in print:
2017
Published Online:
September 2017
ISBN:
9780198785699
eISBN:
9780191827518
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198785699.003.0020
Subject:
Mathematics, Educational Mathematics

In this chapter we present a model for using case studies for the core of an undergraduate theoretical statistics course. These case studies have more depth than most examples found in typical ... More


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


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