heplots package provides functions for visualizing hypothesis tests
in multivariate linear models (MANOVA, multivariate multiple regression, MANCOVA, and repeated measures designs).
HE plots represent sums-of-squares-and-products matrices for linear hypotheses and for
error using ellipses (in two dimensions), ellipsoids (in three dimensions),
or by line segments in one dimension.
See Fox, Friendly and Monette (2007) for a brief introduction
and Friendly, Monette and Fox (2013) for a general discussion of the role of
elliptical geometry in statistical understanding.Other topics now addressed here include robust MLMs, tests for equality of covariance matrices in MLMs, and chi sqare Q-Q plots for MLMs.
The package also provides a collection of data sets illustrating a variety of multivariate linear models of the types listed above, together with graphical displays.
Several tutorial vignettes are also included. See vignette(package="heplots").
| Package: |
| heplots |
| Type: |
| Package |
| Version: |
| 1.3-1 |
| Date: |
| 2016-06-06 |
| License: |
| GPL (>= 2), GPL version 2 or newer |
The graphical functions contained here all display multivariate model effects in variable (data) space, for one or more response variables (or contrasts among response variables in repeated measures designs).
heplot
heplot3d
pairs.mlm
heplot1d
For repeated measure designs, between-subject effects and within-subject
effects must be plotted separately, because the error terms (E matrices)
differ. For terms involving within-subject effects,
these functions carry out a linear
transformation of the matrix Y of responses to a matrix Y M, where
M is the model matrix for a term in
the intra-subject design and produce plots of
the H and E matrices in this transformed space. The vignette repeated describes
these graphical methods for repeated measures designs.
The related car-package package calculates Type II and Type III tests
of multivariate
linear hypotheses using the Anova and linearHypothesis
functions.
The candisc-package package provides functions for
visualizing effects for MLM model terms in a low-dimensional canonical space
that shows the largest hypothesis relative to error variation.
The candisc package now also includes related methods for
canonical correlation analysis.
The heplots package also contains a large number of multivariate data sets with examples
of analyses and graphic displays. Use data(package="heplots") to see
the current list.
Friendly, M. (2007). HE plots for Multivariate General Linear Models. Journal of Computational and Graphical Statistics, 16(2) 421-444. http://datavis.ca/papers/jcgs-heplots.pdf
Fox, J., Friendly, M. & Monette, G. (2007). Visual hypothesis tests in multivariate linear models: The heplots package for R. DSC 2007: Directions in Statistical Computing. http://socserv.socsci.mcmaster.ca/jfox/heplots-dsc-paper.pdf
Friendly, M. (2010). HE Plots for Repeated Measures Designs. Journal of Statistical Software, 37(4), 1-40. URL http://www.jstatsoft.org/v37/i04/.
Fox, J., Friendly, M. & Weisberg, S. (2013). Hypothesis Tests for Multivariate Linear Models Using the car Package. The R Journal, 5(1), http://journal.r-project.org/archive/2013-1/fox-friendly-weisberg.pdf.
Friendly, M., Monette, G. & Fox, J. (2013). Elliptical Insights: Understanding Statistical Methods Through Elliptical Geometry. Statistical Science, 2013, 28 (1), 1-39, http://datavis.ca/papers/ellipses.pdf.
Friendly, M. & Sigal, M. (2014) Recent Advances in Visualizing Multivariate Linear Models. Revista Colombiana de Estadistica, 37, 261-283, http://ref.scielo.org/6gq33g.
Anova, linearHypothesis for Anova.mlm computations and tests
candisc-package for reduced-rank views in canonical space
manova for a different approach to testing effects in MANOVA designs