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VGAM (version 0.8-6)

Vector Generalized Linear and Additive Models

Description

Vector generalized linear and additive models, and associated models (Reduced-Rank VGLMs, Quadratic RR-VGLMs, Reduced-Rank VGAMs). This package fits many models and distribution by maximum likelihood estimation (MLE) or penalized MLE. Also fits constrained ordination models in ecology.

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Version

Install

install.packages('VGAM')

Monthly Downloads

42,195

Version

0.8-6

License

GPL-2

Maintainer

Thomas Yee

Last Published

February 27th, 2012

Functions in VGAM (0.8-6)

Tol

Tolerances
Coef

Computes Model Coefficients and Quantities
crashes

Crashes on New Zealand Roads in 2009
binom2.or

Bivariate Binary Regression with an Odds Ratio (Family Function)
acat

Ordinal Regression with Adjacent Categories Probabilities
cratio

Ordinal Regression with Continuation Ratios
Expectiles-Normal

Expectiles of the Normal Distribution
ABO

The ABO Blood Group System
gaussianff

Gaussian (normal) Family Function
explogarithmic

Exponential Logarithmic Distribution Family Function
is.smart

Test For a Smart Object
Pareto

The Pareto Distribution
koenker

Koenker's Distribution Family Function
binom2.rho

Bivariate Probit Model (Family Function)
Coef.qrrvglm

Returns Important Matrices etc. of a QO Object
Coef.rrvglm-class

Class ``Coef.rrvglm''
Qvar

Quasi-variances Preprocessing Function
amh

Ali-Mikhail-Haq Distribution Distribution Family Function
amlpoisson

Poisson Regression by Asymmetric Maximum Likelihood Estimation
cardioid

Cardioid Distribution Family Function
Expectiles-Exponential

Expectiles of the Exponential Distribution
Coef.qrrvglm-class

Class ``Coef.qrrvglm''
kumar

Kumaraswamy Distribution Family Function
SurvS4

Create a Survival Object
fnormal1

Folded Normal Distribution Family Function
cgumbel

Censored Gumbel Distribution
freund61

Freund's (1961) Bivariate Extension of the Exponential Distribution
amlbinomial

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation
binomialff

Binomial Family Function
Max

Maxima
Betageom

The Beta-Geometric Distribution
alaplace

Asymmetric Laplace Distribution Family Functions
backPain

Data on Back Pain Prognosis, from Anderson (1984)
betabinomial.ab

Beta-binomial Distribution Family Function
auuc

Auckland University Undergraduate Counts Data
fsqrt

Folded Square Root Link Function
Invlomax

The Inverse Lomax Distribution
Links

Link functions for VGLM/VGAM/etc. families
AA.Aa.aa

The AA-Aa-aa Blood Group System
Inv.gaussian

The Inverse Gaussian Distribution
Brat

Inputting Data to fit a Bradley Terry Model
cauchy

Cauchy Distribution Family Function
calibrate.qrrvglm

Calibration for CQO, UQO and CAO models
chest.nz

Chest Pain in NZ Adults Data
golf

Gamma-Ordinal Link Function
fisherz

Fisher's Z Link Function
genray

The Generalized Rayleigh Distribution
AB.Ab.aB.ab2

The AB-Ab-aB-ab2 Blood Group System
cao

Fitting Constrained Additive Ordination (CAO)
clo

Redirects the user to rrvglm
grc

Row-Column Association Models including Goodman's RC Association Model
Opt

Maxima
lms.bcg

LMS Quantile Regression with a Box-Cox transformation to a Gamma Distribution
smart.expression

S Expression for Smart Functions
loglapUC

The Log-Laplace Distribution
gamma2.ab

2-parameter Gamma Distribution
huse

Harvard University Numbers of Ladder Faculty by School and Ethnicity
Fnorm

The Folded-Normal Distribution
Benford

Benford's Distribution
Bisa

The Birnbaum-Saunders Distribution
alaplaceUC

The Laplace Distribution
coalminers

Breathlessness and Wheeze Amongst Coalminers Data
Coef.rrvglm

Returns Important Matrices etc. of a RR-VGLM Object
VGAM-package

Vector Generalized Linear and Additive Models
lirat

Low-iron Rat Teratology Data
trplot.qrrvglm

Trajectory plot for QRR-VGLMs
logff

Logarithmic Distribution
benini

Benini Distribution Family Function
hyperg

Hypergeometric Family Function
AICvlm

Akaike's Information Criterion
Bort

The Borel-Tanner Distribution
DeLury

DeLury's Method for Population Size Estimation
enzyme

Enzyme Data
get.smart

Retrieve One Component of ``.smart.prediction''
zabinomial

Zero-Altered Binomial Distribution
dcennormal1

Univariate Normal Distribution with Double Censoring
betaprime

The Beta-Prime Distribution
MNSs

The MNSs Blood Group System
lambertW

The Lambert W function
expgeom

The Exponential Geometric Distribution
gew

General Electric and Westinghouse Data
lms.bcn

LMS Quantile/Expectile Regression with a Box-Cox Transformation to Normality
cdf.lmscreg

Cumulative Distribution Function for LMS Quantile Regression
bilogistic4

Bivariate Logistic Distribution Family Function
betageometric

Beta-geometric Distribution Family Function
ccoef

Extract Model Constrained/Canonical Coefficients
levy

Levy Distribution Family Function
bmi.nz

Body Mass Index of New Zealand Adults Data
simplex

Simplex Distribution Family Function
cgo

Redirects the user to cqo
calibrate

Model Calibrations
snorm

Skew-Normal Distribution
lognormal

Lognormal Distribution
frank

Frank's Bivariate Distribution Family Function
fgm

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function
biplot-methods

Biplot of Constrained Regression Models
erlang

Erlang Distribution
Rice

The Rice Distribution
lms.yjn

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality
cumulative

Ordinal Regression with Cumulative Probabilities
borel.tanner

Borel-Tanner Distribution Family Function
cenpoisson

Censored Poisson Family Function
amlnormal

Asymmetric Least Squares Quantile Regression
cennormal1

Censored Normal Distribution
cao.control

Control Function for RR-VGAMs (CAO)
expgeometric

Exponential Geometric Distribution Family Function
plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression
calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration
betabinomial

Beta-binomial Distribution Family Function
lgammaUC

The Log-Gamma Distribution
Betanorm

The Beta-Normal Distribution
binormal

Bivariate normal distribution
vonmises

von Mises Distribution Family Function
garma

GARMA (Generalized Autoregressive Moving-Average) Models
hunua

Hunua Ranges Data
expexp1

Exponentiated Exponential Distribution
model.matrixvlm

Construct the Design Matrix of a VLM Object
Triangle

The Triangle Distribution
expexp

Exponentiated Exponential Distribution
huggins91

Huggins (1991) Capture-recapture Model Family Function (approximation only)
gpd

Generalized Pareto Distribution Family Function
wffc

2008 World Fly Fishing Championships Data
bivgamma.mckay

Bivariate Gamma: McKay's Distribution
setup.smart

Smart Prediction Setup
AB.Ab.aB.ab

The AB-Ab-aB-ab Blood Group System
Card

Cardioid Distribution
loglinb3

Loglinear Model for Three Binary Responses
erf

Error Function
Log

Logarithmic Distribution
exppoisson

Exponential Poisson Distribution Family Function
Zeta

The Zeta Distribution
posnormal1

Positive Normal Distribution Family Function
lomax

Lomax Distribution Family Function
fill

Creates a Matrix of Appropriate Dimension
felix

Felix Distribution Family Function
bilogis4

Bivariate Logistic Distribution
zipf

Zipf Distribution Family Function
CommonVGAMffArguments

Common VGAM family function Arguments
genrayleigh

Generalized Rayleigh Distribution Family Function
paretoIV

Pareto(IV/III/II) Distribution Family Functions
plotdeplot.lmscreg

Density Plot for LMS Quantile Regression
chinese.nz

Chinese Population in New Zealand 1867--2001 Data
pneumo

Pneumoconiosis in Coalminers Data
SurvS4-class

Class "SurvS4"
bratt

Bradley Terry Model With Ties
lv

Latent Variables
powl

Power Link Function
weibull

Weibull Distribution Family Function
Frechet

The Frechet Distribution
crime.us

Estimated Crime in 2009 in USA
Posbinom

Positive-Binomial Distribution
exponential

Exponential Distribution
huber

Huber's least favourable distribution family function
probit

Probit Link Function
cauchit

Cauchit Link Function
Expectiles-Uniform

Expectiles of the Uniform Distribution
meplot

Mean Excess Plot
dirmul.old

Fitting a Dirichlet-Multinomial Distribution
depvar

Response variable extracted
venice

Venice Maximum Sea Levels Data
geometric

Geometric Distribution
ccoef-methods

Constrained (Canonical) Coefficients
moffset

Matrix Offset
cqo

Fitting Constrained Quadratic Ordination (CQO)
dhuber

Huber's least favourable distribution
gengamma

Generalized Gamma distribution family function
fittedvlm

Fitted Values of a VLM object
dirmultinomial

Fitting a Dirichlet-Multinomial Distribution
oxtemp

Oxford Temperature Data
Posnorm

The Positive-Normal Distribution
wffc.points

Point System for the 2008 World Fly Fishing Championships
gumbel

Gumbel Distribution Family Function
marital.nz

New Zealand Marital Data.
lvplot.rrvglm

Latent Variable Plot for RR-VGLMs
gevUC

The Generalized Extreme Value Distribution
constraints

Constraint Matrices
predictqrrvglm

Predict Method for a CQO fit
exppois

The Exponential Poisson Distribution
gumbelIbiv

Gumbel's Type I Bivariate Distribution Family Function
Zapois

Zero-Altered Poisson Distribution
perspqrrvglm

Perspective plot for QRR-VGLMs
Hzeta

Haight's Zeta Function
gamma1

1-parameter Gamma Distribution
logistic

Logistic Distribution Family Function
model.framevlm

Construct the Model Frame of a VLM Object
Fisk

The Fisk Distribution
fff

F Distribution Family Function
prentice74

Prentice (1974) Log-gamma Distribution
plackett

Plackett's Bivariate Distribution Family Function
mix2normal1

Mixture of Two Univariate Normal Distributions
guplot

Gumbel Plot
explog

The Exponential Logarithmic Distribution
prplot

Probability Plots for Categorical Data Analysis
Posgeom

Positive-geometric Distribution
Expectiles-Koenker

Expectiles/Quantiles of the Koenker Distribution
G1G2G3

The G1G2G3 Blood Group System
yip88

Zero-Inflated Poisson Distribution (Yip (1988) algorithm)
undocumented-methods

Undocumented Methods Functions
hypersecant

Hyperbolic Secant Distribution Family Function
calibrate-methods

Calibration for Constrained Regression Models
huie

Harvard University International Enrollments
amlexponential

Exponential Regression by Asymmetric Maximum Likelihood Estimation
put.smart

Adds a List to the End of the List ``.smart.prediction''
genbetaII

Generalized Beta Distribution of the Second Kind
zetaff

Zeta Distribution Family Function
beta.ab

The Two-parameter Beta Distribution Family Function
loglaplace

Log-Laplace and Logit-Laplace Distribution Family Functions
rcqo

Constrained Quadratic Ordination
gpdUC

The Generalized Pareto Distribution
invbinomial

Inverse Binomial Distribution Family Function
quasipoissonff

Quasi-Poisson Family Function
hued

Harvard University Degrees Conferred by Student Ethnicity
slash

Slash Distribution Family Function
betaII

Beta Distribution of the Second Kind
qtplot.lmscreg

Quantile Plot for LMS Quantile Regression
iam

Index from Array to Matrix
genpoisson

Generalized Poisson distribution
ordpoisson

Ordinal Poisson Family Function
Zipois

Zero-Inflated Poisson Distribution
dexpbinomial

Double Exponential Binomial Distribution Family Function
xs.nz

Cross-sectional Data from the New Zealand Population
quasibinomialff

Quasi-Binomial Family Function
leipnik

Leipnik Distribution Family Function
gev

Generalized Extreme Value Distribution Family Function
huggins91UC

Huggins (1991) Capture-recapture Model
gamma2

2-parameter Gamma Distribution
leukemia

Acute Myelogenous Leukemia Survival Data
laplaceUC

The Laplace Distribution
recnormal1

Upper Record Values from a Univariate Normal Distribution
zinegbinomial

Zero-Inflated Negative Binomial Distribution Family Function
Sinmad

The Singh-Maddala Distribution
rdiric

The Dirichlet distribution
zanegbinomial

Zero-Altered Negative Binomial Distribution
hspider

Hunting Spider Data
finney44

Toxicity trial for insects
inv.gaussianff

Inverse Gaussian Distribution Family Function
loglinb2

Loglinear Model for Two Binary Responses
Dagum

The Dagum Distribution
lqnorm

Minimizing the L-q norm Family Function
s

Defining smooths in VGAM formulae
lvplot

Latent Variable Plot
identity

Identity Link Function
zipoisson

Zero-Inflated Poisson Distribution Family Function
invparalogistic

Inverse Paralogistic Distribution Family Function
margeff

Marginal effects for the multinomial logit and cumulative models
mbinomial

The Matched Binomial Distribution Family Function
Nakagami

Nakagami Distribution
reciprocal

Reciprocal link function
Yules

Yule-Simon Distribution
logit

Logit Link Function
loge

Log link function
nbcanlink

Negative binomial canonical link function
lrtest

Likelihood Ratio Test of Nested Models
smartpred

Smart Prediction
polf

Poisson-Ordinal Link Function
laplace

Laplace Distribution
Paralogistic

The Paralogistic Distribution
rhobit

Rhobit Link Function
loglog

Log-log Link Function
mix2exp

Mixture of Two Exponential Distributions
logoff

Log link function with an offset
plotvgam

Default VGAM Plotting
micmen

Michaelis-Menten Model
lgammaff

Log-gamma Distribution Family Function
rrvglm.optim.control

Control function for rrvglm() calling optim()
olympic

2008 Summer Olympic Final Medal Count Data
studentt

Student t Distribution
normal1

Univariate Normal Distribution
plotrcam0

Main effects plot for a Row-Column Association Model (RCAM)
zageometric

Zero-Altered Geometric Distribution
Tpareto

The Truncated Pareto Distribution
ruge

Rutherford-Geiger Polonium Data
rrvglm

Fitting Reduced-Rank Vector Generalized Linear Models (RR-VGLMs)
propodds

Proportional Odds Model for Ordinal Regression
poissonff

Poisson Family Function
toxop

Toxoplasmosis Data
deplot.lmscreg

Density Plot for LMS Quantile Regression
posnegbinomial

Positive Negative Binomial Distribution Family Function
Tikuv

A Short-tailed Symmetric Distribution
uqo.control

Control Function for UQO models
skellam

Skellam Distribution Family Function
lvplot.qrrvglm

Latent Variable Plot for QO models
maxwell

Maxwell Distribution Family Function
Lino

The Generalized Beta Distribution (Libby and Novick, 1982)
chisq

Chi-squared Distribution
qtplot.gumbel

Quantile Plot for Gumbel Regression
mccullagh89

McCullagh (1989) Distribution Family Function
pospoisson

Positive Poisson Distribution Family Function
rayleigh

Rayleigh Distribution Family Function
poissonp

Poisson-points-on-a-plane/volume Distances Distribution
logc

Complementary-log Link Function
predictvglm

Predict Method for a VGLM fit
Pospois

Positive-Poisson Distribution
trplot

Trajectory Plot
Zibinom

Zero-Inflated Binomial Distribution
morgenstern

Morgenstern's Bivariate Distribution Family Function
vglmff-class

Class ``vglmff''
pareto1

Pareto and Truncated Pareto Distribution Family Functions
sratio

Ordinal Regression with Stopping Ratios
plotqrrvglm

Model Diagnostic Plots for QRR-VGLMs
vgam.control

Control function for vgam
vgam-class

Class ``vgam''
zigeometric

Zero-Inflated Geometric Distribution Family Function
negbinomial.size

Negative Binomial Distribution Family Function With Known Size
posbinomial

Positive Binomial Distribution Family Function
Posnegbin

Positive-Negative Binomial Distribution
seq2binomial

The Two-stage Sequential Binomial Distribution Family Function
zibinomial

Zero-Inflated Binomial Distribution Family Function
wffc.indiv

2008 World Fly Fishing Championships (Individual results) Data
zero

The zero Argument in VGAM Family Functions
vglm-class

Class ``vglm''
recexp1

Upper Record Values from a 1-parameter Exponential Distribution
uqo

Fitting Unconstrained Quadratic Ordination (UQO)
plotvgam.control

Control Function for plotvgam()
rrvglm.control

Control function for rrvglm
vgam

Fitting Vector Generalized Additive Models
wffc.teams

2008 World Fly Fishing Championships (Team results) Data
zipebcom

Exchangeable bivariate cloglog odds-ratio model from a zero-inflated Poisson distribution
multinomial

Multinomial Logit Model
Polono

The Poisson Lognormal Distribution
vglm.control

Control function for vglm
rrar

Nested reduced-rank autoregressive models for multiple time series
qrrvglm.control

Control function for QRR-VGLMs (CQO)
wffc.nc

2008 World Fly Fishing Championships (Number of captures) Data
rig

Reciprocal Inverse Gaussian distribution
vsmooth.spline

Vector cubic smoothing spline
zapoisson

Zero-Altered Poisson Distribution
rrvglm-class

Class ``rrvglm''
wald

Wald Distribution Family Function
smart.mode.is

Determine What Mode the Smart Prediction is In
rlplot.egev

Return Level Plot for GEV Fits
negbinomial

Negative Binomial Distribution Family Function
skewnormal1

Univariate Skew-Normal Distribution Family Function
tobit

Tobit Model
Zageom

Zero-Altered Geometric Distribution
ugss

Undergraduate Statistics Students Lifestyle Questionnaire
vglm

Fitting Vector Generalized Linear Models
Zinegbin

Zero-Inflated Negative Binomial Distribution
waitakere

Waitakere Ranges Data
Zanegbin

Zero-Altered Negative Binomial Distribution
yeo.johnson

Yeo-Johnson Transformation
wrapup.smart

Cleans Up After Smart Prediction
Zabinom

Zero-Altered Binomial Distribution
yulesimon

Yule-Simon Family Function
Zigeom

Zero-Inflated Geometric Distribution
Coef.vlm

Extract Model Coefficients for VLM Objects
Rcam

Mark the Baseline of Row and Column on a Matrix data
Betabinom

The Beta-Binomial Distribution
cloglog

Complementary Log-log Link Function
betaff

The Two-parameter Beta Distribution Family Function
dirichlet

Fitting a Dirichlet Distribution
explink

Exponential Link Function
gammahyp

Gamma Hyperbola Bivariate Distribution
gengammaUC

The Generalized Gamma Distribution
gumbelUC

The Gumbel Distribution
grain.us

Grain Prices Data in USA
get.smart.prediction

Retrieves ``.smart.prediction''
lerch

Lerch Phi Function
mix2poisson

Mixture of Two Poisson Distributions
nbolf

Negative Binomial-Ordinal Link Function
notdocumentedyet

Undocumented and Internally Used Functions and Classes
riceff

Rice Distribution Family Function
weightsvglm

Prior and Working Weights of a VGLM fit