matlib - Matrix Functions for Teaching and Learning Linear Algebra and Multivariate Statistics

A collection of matrix functions for teaching and learning matrix linear algebra as used in multivariate statistical methods. Many of these functions are designed for tutorial purposes in learning matrix algebra ideas using R. In some cases, functions are provided for concepts available elsewhere in R, but where the function call or name is not obvious. In other cases, functions are provided to show or demonstrate an algorithm. In addition, a collection of functions are provided for drawing vector diagrams in 2D and 3D and for rendering matrix expressions and equations in LaTeX.

Last updated 2 days ago

diagramslinear-equationsmatrixmatrix-functionsmatrix-visualizervectorvignette

12.95 score 65 stars 11 packages 904 scripts 6.4k downloads

Lahman - Sean 'Lahman' Baseball Database

Provides the tables from the 'Sean Lahman Baseball Database' as a set of R data.frames. It uses the data on pitching, hitting and fielding performance and other tables from 1871 through 2023, as recorded in the 2024 version of the database. Documentation examples show how many baseball questions can be investigated.

Last updated 3 days ago

11.97 score 77 stars 2 packages 1.6k scripts 21k downloads

heplots - Visualizing Hypothesis Tests in Multivariate Linear Models

Provides HE plot and other functions for visualizing hypothesis tests in multivariate linear models. HE plots represent sums-of-squares-and-products matrices for linear hypotheses and for error using ellipses (in two dimensions) and ellipsoids (in three dimensions). The related 'candisc' package provides visualizations in a reduced-rank canonical discriminant space when there are more than a few response variables.

Last updated 19 hours ago

linear-hypothesesmatricesmultivariate-linear-modelsplotrepeated-measure-designsvisualizing-hypothesis-tests

11.48 score 9 stars 7 packages 1.0k scripts 8.8k downloads

vcdExtra - 'vcd' Extensions and Additions

Provides additional data sets, methods and documentation to complement the 'vcd' package for Visualizing Categorical Data and the 'gnm' package for Generalized Nonlinear Models. In particular, 'vcdExtra' extends mosaic, assoc and sieve plots from 'vcd' to handle 'glm()' and 'gnm()' models and adds a 3D version in 'mosaic3d'. Additionally, methods are provided for comparing and visualizing lists of 'glm' and 'loglm' objects. This package is now a support package for the book, "Discrete Data Analysis with R" by Michael Friendly and David Meyer.

Last updated 1 months ago

categorical-data-visualizationgeneralized-linear-modelsmosaic-plots

10.35 score 24 stars 3 packages 432 scripts 5.0k downloads

candisc - Visualizing Generalized Canonical Discriminant and Canonical Correlation Analysis

Functions for computing and visualizing generalized canonical discriminant analyses and canonical correlation analysis for a multivariate linear model. Traditional canonical discriminant analysis is restricted to a one-way 'MANOVA' design and is equivalent to canonical correlation analysis between a set of quantitative response variables and a set of dummy variables coded from the factor variable. The 'candisc' package generalizes this to higher-way 'MANOVA' designs for all factors in a multivariate linear model, computing canonical scores and vectors for each term. The graphic functions provide low-rank (1D, 2D, 3D) visualizations of terms in an 'mlm' via the 'plot.candisc' and 'heplot.candisc' methods. Related plots are now provided for canonical correlation analysis when all predictors are quantitative.

Last updated 7 months ago

dimension-reductionmultivariate-linear-modelsvisualization

9.44 score 15 stars 7 packages 200 scripts 4.4k downloads

HistData - Data Sets from the History of Statistics and Data Visualization

The 'HistData' package provides a collection of small data sets that are interesting and important in the history of statistics and data visualization. The goal of the package is to make these available, both for instructional use and for historical research. Some of these present interesting challenges for graphics or analysis in R.

Last updated 7 months ago

graphicshistorical-data

9.41 score 64 stars 2 packages 700 scripts 6.4k downloads

ggbiplot - A Grammar of Graphics Implementation of Biplots

A 'ggplot2' based implementation of biplots, giving a representation of a dataset in a two dimensional space accounting for the greatest variance, together with variable vectors showing how the data variables relate to this space. It provides a replacement for stats::biplot(), but with many enhancements to control the analysis and graphical display. It implements biplot and scree plot methods which can be used with the results of prcomp(), princomp(), FactoMineR::PCA(), ade4::dudi.pca() or MASS::lda() and can be customized using 'ggplot2' techniques.

Last updated 1 months ago

biplotdata-visualizationdimension-reductionprincipal-component-analysis

8.30 score 11 stars 2.3k scripts 4.9k downloads

nestedLogit - Nested Dichotomy Logistic Regression Models

Provides functions for specifying and fitting nested dichotomy logistic regression models for a multi-category response and methods for summarising and plotting those models. Nested dichotomies are statistically independent, and hence provide an additive decomposition of tests for the overall 'polytomous' response. When the dichotomies make sense substantively, this method can be a simpler alternative to the standard 'multinomial' logistic model which compares response categories to a reference level. See: J. Fox (2016), "Applied Regression Analysis and Generalized Linear Models", 3rd Ed., ISBN 1452205663.

Last updated 6 months ago

logistic-regressionmultinomial-logistic-regressionpolytomous-variables

6.06 score 10 stars 33 scripts 2.3k downloads

Guerry - Maps, Data and Methods Related to Guerry (1833) "Moral Statistics of France"

Maps of France in 1830, multivariate datasets from A.-M. Guerry and others, and statistical and graphic methods related to Guerry's "Moral Statistics of France". The goal is to facilitate the exploration and development of statistical and graphic methods for multivariate data in a geospatial context of historical interest.

Last updated 2 months ago

francemoral-statisticsmultivariate-spatial-analysis

4.71 score 1 stars 51 scripts 384 downloads

genridge - Generalized Ridge Trace Plots for Ridge Regression

The genridge package introduces generalizations of the standard univariate ridge trace plot used in ridge regression and related methods. These graphical methods show both bias (actually, shrinkage) and precision, by plotting the covariance ellipsoids of the estimated coefficients, rather than just the estimates themselves. 2D and 3D plotting methods are provided, both in the space of the predictor variables and in the transformed space of the PCA/SVD of the predictors.

Last updated 11 days ago

bias-variancegraphicsprincipal-component-analysisregression-modelsridge-regressionsingular-value-decomposition

4.47 score 3 stars 65 scripts 314 downloads

mvinfluence - Influence Measures and Diagnostic Plots for Multivariate Linear Models

Computes regression deletion diagnostics for multivariate linear models and provides some associated diagnostic plots. The diagnostic measures include hat-values (leverages), generalized Cook's distance, and generalized squared 'studentized' residuals. Several types of plots to detect influential observations are provided.

Last updated 2 years ago

multivariate-analysismultivariate-linear-regressionstatisticsvisualization

4.41 score 2 stars 26 scripts 955 downloads

twoway - Analysis of Two-Way Tables

Carries out analyses of two-way tables with one observation per cell, together with graphical displays for an additive fit and a diagnostic plot for removable 'non-additivity' via a power transformation of the response. It implements Tukey's Exploratory Data Analysis (1973) <ISBN: 978-0201076165> methods, including a 1-degree-of-freedom test for row*column 'non-additivity', linear in the row and column effects.

Last updated 25 days ago

anovaresidualstransformationstukey

3.92 score 4 stars 21 scripts 104 downloads

WordPools - Word Pools Used in Studies of Learning and Memory

Collects several classical word pools used most often to provide lists of words in psychological studies of learning and memory. It provides a simple function, 'pickList' for selecting random samples of words within given ranges.

Last updated 11 months ago

experimentmemorywordlist-generator

3.18 score 3 stars 8 scripts 177 downloads

VisCollin - Visualizing Collinearity Diagnostics

Provides methods to calculate diagnostics for multicollinearity among predictors in a linear or generalized linear model. It also provides methods to visualize those diagnostics following Friendly & Kwan (2009), "Where’s Waldo: Visualizing Collinearity Diagnostics", <doi:10.1198/tast.2009.0012>. These include better tabular presentation of collinearity diagnostics that highlight the important numbers, a semi-graphic tableplot of the diagnostics to make warning and danger levels more salient, and a "collinearity biplot" of the smallest dimensions of predictor space, where collinearity is most apparent.

Last updated 9 months ago

biplotscollinearity-diagnosticsgraphicsregression-models

2.78 score 1 stars 12 scripts 194 downloads