Both Sides Model (BSM)

Collection of functions for computing the both sides model

bothsidesmodel()

Calculate the least squares estimates

bothsidesmodel.chisquare()

Test subsets of \(\beta\) are zero

bothsidesmodel.df()

Obtain the degrees of freedom for a model.

bothsidesmodel.hotelling()

Test blocks of \(\beta\) are zero.

bothsidesmodel.lrt()

Test subsets of \(\beta\) are zero.

bothsidesmodel.mle()

Calculate the maximum likelihood estimates

Bayesian information criterion (BIC)

Various functions that compute or use Bayesian Information Criterion (BIC) to inform model selection decisions.

pcbic()

BIC for a particular pattern

pcbic.stepwise()

Choosing a good pattern

pcbic.unite()

Obtain pattern

pcbic.subpatterns()

Obtain the best subpattern among the patterns.

Discrimination

Approaches to separate known groups in a multivariate sample.

qda()

Quadratic discrimination

lda()

Linear Discrimination

predict_qda()

Quadratic discrimination prediction

Negentropy

Computing measures of distance to normality.

negent()

Estimating negative entropy

negent2D()

Maximizing negentropy for \(q = 2\) dimensions

negent3D()

Maximizing negentropy for \(Q = 3\) dimensions

K-Means Silhouette

Computing and sorting silhouettes for K-Mean clustering.

silhouette.km()

Silhouettes for \(K\)-Means Clustering

sort_silhouette()

Sort the silhouettes by group

Matrix Operations

Functions that perform various matrix operations lacking a base R implementation.

tr()

Trace of a Matrix

logdet()

Log Determinant

imax()

Obtain largest value index

fillout()

Make a square matrix

reverse.kronecker()

Reverses the matrices in a Kronecker product

Both Sides Model Helpers

Helper functions that allow for the bothsidesmodel to be computed.

bsm.fit()

Helper function to determine \(\beta\) estimates for MLE regression with patterning.

bsm.simple()

Helper function to determine \(\beta\) estimates for MLE regression.

Data Sets

Various multivariate data sets.

SAheart

South African Hearth Disease Data

Spam

Spam

births

Birthrates throughout the day in four Hospitals

caffeine

The Effects of Caffeine

cars

Automobile Data from Consumer Reports

cereal

Cereal

crabs

Morphological Measurements on Leptograpsus Crabs

decathlon08

Decathlon Event Data from 2008 Olympics.

decathlon12

Decathlon Event Data from 2012 Olympics.

election

Presidential Election Data

exams

Statistics Students' Scores on Exams

grades

Grades

histamine

Histamine in Dogs

leprosy

Leprosy Patients

mouths

Mouth Sizes

painters

The Painter's Data of de Piles

planets

Planets

prostaglandin

Prostaglandin

skulls

Egyptian Skulls

softdrinks

Soft Drinks

sportsranks

Sports ranking

states

States