Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples

Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples

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This paper describes graphical methods for multiple-response data within the framework of the multivariate linear model (MLM), aimed at understanding what is being tested in a multivariate test, and how factor/predictor effects are expressed across multiple response measures. In particular, we desc...

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Main Author: Michael Friendly
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2006-11-01
Series:Journal of Statistical Software
Online Access:http://www.jstatsoft.org/index.php/jss/article/view/1514
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spelling doaj-fd05739d118647aab6df736be6df68f12020-11-24T22:14:42ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602006-11-0117114310.18637/jss.v017.i06118Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and ExamplesMichael FriendlyThis paper describes graphical methods for multiple-response data within the framework of the multivariate linear model (MLM), aimed at understanding what is being tested in a multivariate test, and how factor/predictor effects are expressed across multiple response measures. In particular, we describe and illustrate a collection of SAS macro programs for: (a) Data ellipses and low-rank biplots for multivariate data, (b) HE plots, showing the hypothesis and error covariance matrices for a given pair of responses, and a given effect, (c) HE plot matrices, showing all pairwise HE plots, and (d) low-rank analogs of HE plots, showing all observations, group means, and their relations to the response variables.http://www.jstatsoft.org/index.php/jss/article/view/1514
collection DOAJ
language English
format Article
sources DOAJ
author Michael Friendly
spellingShingle Michael Friendly
Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples
Journal of Statistical Software
author_facet Michael Friendly
author_sort Michael Friendly
title Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples
title_short Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples
title_full Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples
title_fullStr Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples
title_full_unstemmed Data Ellipses, HE Plots and Reduced-Rank Displays for Multivariate Linear Models: SAS Software and Examples
title_sort data ellipses, he plots and reduced-rank displays for multivariate linear models: sas software and examples
publisher Foundation for Open Access Statistics
series Journal of Statistical Software
issn 1548-7660
publishDate 2006-11-01
description This paper describes graphical methods for multiple-response data within the framework of the multivariate linear model (MLM), aimed at understanding what is being tested in a multivariate test, and how factor/predictor effects are expressed across multiple response measures. In particular, we describe and illustrate a collection of SAS macro programs for: (a) Data ellipses and low-rank biplots for multivariate data, (b) HE plots, showing the hypothesis and error covariance matrices for a given pair of responses, and a given effect, (c) HE plot matrices, showing all pairwise HE plots, and (d) low-rank analogs of HE plots, showing all observations, group means, and their relations to the response variables.
url http://www.jstatsoft.org/index.php/jss/article/view/1514
work_keys_str_mv AT michaelfriendly dataellipsesheplotsandreducedrankdisplaysformultivariatelinearmodelssassoftwareandexamples
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