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VGAM (version 0.8-5)

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

43,625

Version

0.8-5

License

GPL-2

Maintainer

Thomas Yee

Last Published

February 22nd, 2012

Functions in VGAM (0.8-5)

genpoisson

Generalized Poisson distribution
get.smart.prediction

Retrieves ``.smart.prediction''
iam

Index from Array to Matrix
Invlomax

The Inverse Lomax Distribution
exppoisson

Exponential Poisson Distribution Family Function
dirmultinomial

Fitting a Dirichlet-Multinomial Distribution
Frechet

The Frechet Distribution
gew

General Electric and Westinghouse Data
gamma1

1-parameter Gamma Distribution
huse

Harvard University Numbers of Ladder Faculty by School and Ethnicity
erf

Error Function
gengamma

Generalized Gamma distribution family function
hued

Harvard University Degrees Conferred by Student Ethnicity
mix2normal1

Mixture of Two Univariate Normal Distributions
explog

The Exponential Logarithmic Distribution
huber

Huber's least favourable distribution family function
dexpbinomial

Double Exponential Binomial Distribution Family Function
genray

The Generalized Rayleigh Distribution
olympic

2008 Summer Olympic Final Medal Count Data
freund61

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

Generalized Extreme Value Distribution Family Function
model.matrixvlm

Construct the Design Matrix of a VLM Object
micmen

Michaelis-Menten Model
grc

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

Generalized Pareto Distribution Family Function
riceff

Rice Distribution Family Function
fsqrt

Folded Square Root Link Function
perspqrrvglm

Perspective plot for QRR-VGLMs
Hzeta

Haight's Zeta Function
lgammaff

Log-gamma Distribution Family Function
gumbelIbiv

Gumbel's Type I Bivariate Distribution Family Function
fill

Creates a Matrix of Appropriate Dimension
hspider

Hunting Spider Data
lambertW

The Lambert W function
huggins91

Huggins (1991) Capture-recapture Model Family Function (approximation only)
plotrcam0

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

The Inverse Paralogistic Distribution
Fnorm

The Folded-Normal Distribution
Fisk

The Fisk Distribution
identity

Identity Link Function
erlang

Erlang Distribution
lognormal

Lognormal Distribution
hyperg

Hypergeometric Family Function
Felix

The Felix Distribution
posnegbinomial

Positive Negative Binomial Distribution Family Function
gammahyp

Gamma Hyperbola Bivariate Distribution
hunua

Hunua Ranges Data
fnormal1

Folded Normal Distribution Family Function
gaussianff

Gaussian (normal) Family Function
mix2poisson

Mixture of Two Poisson Distributions
Rice

The Rice Distribution
rdiric

The Dirichlet distribution
genrayleigh

Generalized Rayleigh Distribution Family Function
expgeometric

Exponential Geometric Distribution Family Function
nakagami

Nakagami Distribution Family Function
hypersecant

Hyperbolic Secant Distribution Family Function
fgm

Farlie-Gumbel-Morgenstern's Bivariate Distribution Family Function
enzyme

Enzyme Data
fff

F Distribution Family Function
depvar

Response variable extracted
prentice74

Prentice (1974) Log-gamma Distribution
dirmul.old

Fitting a Dirichlet-Multinomial Distribution
Expectiles-Exponential

Expectiles of the Exponential Distribution
garma

GARMA (Generalized Autoregressive Moving-Average) Models
lms.yjn

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

Log link function
fittedvlm

Fitted Values of a VLM object
lgammaUC

The Log-Gamma Distribution
uqo.control

Control Function for UQO models
Rayleigh

The Rayleigh Distribution
golf

Gamma-Ordinal Link Function
mccullagh89

McCullagh (1989) Distribution Family Function
fisherz

Fisher's Z Link Function
frank

Frank's Bivariate Distribution Family Function
finney44

Toxicity trial for insects
Expectiles-Uniform

Expectiles of the Uniform Distribution
gumbel

Gumbel Distribution Family Function
zapoisson

Zero-Altered Poisson Distribution
rig

Reciprocal Inverse Gaussian distribution
leukemia

Acute Myelogenous Leukemia Survival Data
expexp

Exponentiated Exponential Distribution
expgeom

The Exponential Geometric Distribution
deplot.lmscreg

Density Plot for LMS Quantile Regression
genbetaII

Generalized Beta Distribution of the Second Kind
loglapUC

The Log-Laplace Distribution
Coef.qrrvglm

Returns Important Matrices etc. of a QO Object
get.smart

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

The Benini Distribution
s

Defining smooths in VGAM formulae
Tikuv

A Short-tailed Symmetric Distribution
loglinb3

Loglinear Model for Three Binary Responses
simplex

Simplex Distribution Family Function
Zinegbin

Zero-Inflated Negative Binomial Distribution
Maxwell

The Maxwell Distribution
logoff

Log link function with an offset
calibrate-methods

Calibration for Constrained Regression Models
explogarithmic

Exponential Logarithmic Distribution Family Function
gamma2.ab

2-parameter Gamma Distribution
nbcanlink

Negative binomial canonical link function
wald

Wald Distribution Family Function
Opt

Maxima
gpdUC

The Generalized Pareto Distribution
betaII

Beta Distribution of the Second Kind
explink

Exponential Link Function
notdocumentedyet

Undocumented and Internally Used Functions and Classes
vonmises

von Mises Distribution Family Function
Rcam

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

Fitting Vector Generalized Additive Models
is.smart

Test For a Smart Object
Max

Maxima
mix2exp

Mixture of Two Exponential Distributions
wffc.teams

2008 World Fly Fishing Championships (Team results) Data
exppois

The Exponential Poisson Distribution
Expectiles-Normal

Expectiles of the Normal Distribution
lirat

Low-iron Rat Teratology Data
betageometric

Beta-geometric Distribution Family Function
paretoIV

Pareto(IV/III/II) Distribution Family Functions
lms.bcn

LMS Quantile/Expectile Regression with a Box-Cox Transformation to Normality
laplaceUC

The Laplace Distribution
SurvS4-class

Class "SurvS4"
leipnik

Leipnik Distribution Family Function
poissonp

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

The Poisson Lognormal Distribution
rrvglm

Fitting Reduced-Rank Vector Generalized Linear Models (RR-VGLMs)
yip88

Zero-Inflated Poisson Distribution (Yip (1988) algorithm)
pneumo

Pneumoconiosis in Coalminers Data
smart.mode.is

Determine What Mode the Smart Prediction is In
invbinomial

Inverse Binomial Distribution Family Function
acat

Ordinal Regression with Adjacent Categories Probabilities
cratio

Ordinal Regression with Continuation Ratios
dhuber

Huber's least favourable distribution
lino

Generalized Beta Distribution Family Function
binom2.rho

Bivariate Probit Model (Family Function)
Plackett

Plackett's Bivariate Distribution
ordpoisson

Ordinal Poisson Family Function
koenker

Koenker's Distribution Family Function
Lomax

The Lomax Distribution
logc

Complementary-log Link Function
toxop

Toxoplasmosis Data
zipoisson

Zero-Inflated Poisson Distribution Family Function
loglog

Log-log Link Function
morgenstern

Morgenstern's Bivariate Distribution Family Function
meplot

Mean Excess Plot
setup.smart

Smart Prediction Setup
negbinomial.size

Negative Binomial Distribution Family Function With Known Size
lqnorm

Minimizing the L-q norm Family Function
moffset

Matrix Offset
zageometric

Zero-Altered Geometric Distribution
xs.nz

Cross-sectional Data from the New Zealand Population
gevUC

The Generalized Extreme Value Distribution
Posbinom

Positive-Binomial Distribution
rlplot.egev

Return Level Plot for GEV Fits
geometric

Geometric Distribution
grain.us

Grain Prices Data in USA
logff

Logarithmic Distribution
expexp1

Exponentiated Exponential Distribution
inv.gaussianff

Inverse Gaussian Distribution Family Function
venice

Venice Maximum Sea Levels Data
loglaplace

Log-Laplace and Logit-Laplace Distribution Family Functions
backPain

Data on Back Pain Prognosis, from Anderson (1984)
cloglog

Complementary Log-log Link Function
Posgeom

Positive-geometric Distribution
Kumar

The Kumaraswamy Distribution
oxtemp

Oxford Temperature Data
probit

Probit Link Function
reciprocal

Reciprocal link function
rrvglm.optim.control

Control function for rrvglm() calling optim()
gumbelUC

The Gumbel Distribution
paralogistic

Paralogistic Distribution Family Function
Expectiles-Koenker

Expectiles/Quantiles of the Koenker Distribution
lv

Latent Variables
model.framevlm

Construct the Model Frame of a VLM Object
tobit

Tobit Model
clo

Redirects the user to rrvglm
laplace

Laplace Distribution
loglinb2

Loglinear Model for Two Binary Responses
pareto1

Pareto and Truncated Pareto Distribution Family Functions
trplot.qrrvglm

Trajectory plot for QRR-VGLMs
alaplace

Asymmetric Laplace Distribution Family Functions
Card

Cardioid Distribution
rrvglm.control

Control function for rrvglm
levy

Levy Distribution Family Function
Pospois

Positive-Poisson Distribution
guplot

Gumbel Plot
amlexponential

Exponential Regression by Asymmetric Maximum Likelihood Estimation
poissonff

Poisson Family Function
plotdeplot.lmscreg

Density Plot for LMS Quantile Regression
cao.control

Control Function for RR-VGAMs (CAO)
mbinomial

The Matched Binomial Distribution Family Function
lms.bcg

LMS Quantile Regression with a Box-Cox transformation to a Gamma Distribution
lrtest

Likelihood Ratio Test of Nested Models
lvplot.qrrvglm

Latent Variable Plot for QO models
prplot

Probability Plots for Categorical Data Analysis
Skellam

The Skellam Distribution
wffc.points

Point System for the 2008 World Fly Fishing Championships
studentt

Student t Distribution
Bisa

The Birnbaum-Saunders Distribution
ccoef-methods

Constrained (Canonical) Coefficients
calibrate.qrrvglm

Calibration for CQO, UQO and CAO models
Zageom

Zero-Altered Geometric Distribution
vsmooth.spline

Vector cubic smoothing spline
amh

Ali-Mikhail-Haq Distribution Distribution Family Function
cdf.lmscreg

Cumulative Distribution Function for LMS Quantile Regression
wrapup.smart

Cleans Up After Smart Prediction
zabinomial

Zero-Altered Binomial Distribution
alaplaceUC

The Laplace Distribution
Coef.rrvglm-class

Class ``Coef.rrvglm''
normal1

Univariate Normal Distribution
Benford

Benford's Distribution
Zipf

The Zipf Distribution
MNSs

The MNSs Blood Group System
betabinomial

Beta-binomial Distribution Family Function
quasipoissonff

Quasi-Poisson Family Function
binom2.or

Bivariate Binary Regression with an Odds Ratio (Family Function)
qtplot.gumbel

Quantile Plot for Gumbel Regression
seq2binomial

The Two-stage Sequential Binomial Distribution Family Function
snorm

Skew-Normal Distribution
ruge

Rutherford-Geiger Polonium Data
bivgamma.mckay

Bivariate Gamma: McKay's Distribution
dagum

Dagum Distribution Family Function
Coef.vlm

Extract Model Coefficients for VLM Objects
calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration
propodds

Proportional Odds Model for Ordinal Regression
ccoef

Extract Model Constrained/Canonical Coefficients
cenpoisson

Censored Poisson Family Function
rrar

Nested reduced-rank autoregressive models for multiple time series
predictqrrvglm

Predict Method for a CQO fit
negbinomial

Negative Binomial Distribution Family Function
logit

Logit Link Function
Coef.rrvglm

Returns Important Matrices etc. of a RR-VGLM Object
recexp1

Upper Record Values from a 1-parameter Exponential Distribution
powl

Power Link Function
plotqrrvglm

Model Diagnostic Plots for QRR-VGLMs
skewnormal1

Univariate Skew-Normal Distribution Family Function
wffc.indiv

2008 World Fly Fishing Championships (Individual results) Data
AA.Aa.aa

The AA-Aa-aa Blood Group System
betaprime

The Beta-Prime Distribution
sratio

Ordinal Regression with Stopping Ratios
rcqo

Constrained Quadratic Ordination
posbinomial

Positive Binomial Distribution Family Function
smart.expression

S Expression for Smart Functions
Triangle

The Triangle Distribution
waitakere

Waitakere Ranges Data
undocumented-methods

Undocumented Methods Functions
zipebcom

Exchangeable bivariate cloglog odds-ratio model from a zero-inflated Poisson distribution
gamma2

2-parameter Gamma Distribution
vglm-class

Class ``vglm''
Posnorm

The Positive-Normal Distribution
dirichlet

Fitting a Dirichlet Distribution
nbolf

Negative Binomial-Ordinal Link Function
zero

The zero Argument in VGAM Family Functions
exponential

Exponential Distribution
Inv.gaussian

The Inverse Gaussian Distribution
sinmad

Singh-Maddala Distribution Family Function
smartpred

Smart Prediction
Zanegbin

Zero-Altered Negative Binomial Distribution
vglm

Fitting Vector Generalized Linear Models
biplot-methods

Biplot of Constrained Regression Models
Qvar

Quasi-variances Preprocessing Function
zetaff

Zeta Distribution Family Function
recnormal1

Upper Record Values from a Univariate Normal Distribution
quasibinomialff

Quasi-Binomial Family Function
huggins91UC

Huggins (1991) Capture-recapture Model
pospoisson

Positive Poisson Distribution Family Function
cqo

Fitting Constrained Quadratic Ordination (CQO)
plotvgam.control

Control Function for plotvgam()
cauchy

Cauchy Distribution Family Function
SurvS4

Create a Survival Object
crime.us

Estimated Crime in 2009 in USA
lvplot.rrvglm

Latent Variable Plot for RR-VGLMs
yulesimon

Yule-Simon Family Function
amlbinomial

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation
borel.tanner

Borel-Tanner Distribution Family Function
polf

Poisson-Ordinal Link Function
Tol

Tolerances
uqo

Fitting Unconstrained Quadratic Ordination (UQO)
auuc

Auckland University Undergraduate Counts Data
put.smart

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

Predict Method for a VGLM fit
yeo.johnson

Yeo-Johnson Transformation
Zibinom

Zero-Inflated Binomial Distribution
bratt

Bradley Terry Model With Ties
slash

Slash Distribution Family Function
qrrvglm.control

Control function for QRR-VGLMs (CQO)
vglmff-class

Class ``vglmff''
bilogis4

Bivariate Logistic Distribution
cgumbel

Censored Gumbel Distribution
wffc

2008 World Fly Fishing Championships Data
cennormal1

Censored Normal Distribution
margeff

Marginal effects for the multinomial logit and cumulative models
ugss

Undergraduate Statistics Students Lifestyle Questionnaire
chinese.nz

Chinese Population in New Zealand 1867--2001 Data
AB.Ab.aB.ab2

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

Rhobit Link Function
vglm.control

Control function for vglm
bmi.nz

Body Mass Index of New Zealand Adults Data
constraints

Constraint Matrices
beta.ab

The Two-parameter Beta Distribution Family Function
Zigeom

Zero-Inflated Geometric Distribution
zinegbinomial

Zero-Inflated Negative Binomial Distribution Family Function
weightsvglm

Prior and Working Weights of a VGLM fit
AB.Ab.aB.ab

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

The Beta-Normal Distribution
zanegbinomial

Zero-Altered Negative Binomial Distribution
Betageom

The Beta-Geometric Distribution
vgam-class

Class ``vgam''
Zabinom

Zero-Altered Binomial Distribution
zeta

Riemann's Zeta Function
Yules

Yule-Simon Distribution
weibull

Weibull Distribution Family Function
Brat

Inputting Data to fit a Bradley Terry Model
chisq

Chi-squared Distribution
AICvlm

Akaike's Information Criterion
Coef

Computes Model Coefficients and Quantities
binomialff

Binomial Family Function
Zipois

Zero-Inflated Poisson Distribution
zibinomial

Zero-Inflated Binomial Distribution Family Function
Coef.qrrvglm-class

Class ``Coef.qrrvglm''
amlnormal

Asymmetric Least Squares Quantile Regression
amlpoisson

Poisson Regression by Asymmetric Maximum Likelihood Estimation
betabinomial.ab

Beta-binomial Distribution Family Function
Links

Link functions for VGLM/VGAM/etc. families
bilogistic4

Bivariate Logistic Distribution Family Function
ABO

The ABO Blood Group System
calibrate

Model Calibrations
G1G2G3

The G1G2G3 Blood Group System
VGAM-package

Vector Generalized Linear and Additive Models
cumulative

Ordinal Regression with Cumulative Probabilities
cardioid

Cardioid Distribution Family Function
dcennormal1

Univariate Normal Distribution with Double Censoring
Bort

The Borel-Tanner Distribution
DeLury

DeLury's Method for Population Size Estimation
betaff

The Two-parameter Beta Distribution Family Function
chest.nz

Chest Pain in NZ Adults Data
gengammaUC

The Generalized Gamma Distribution
huie

Harvard University International Enrollments
Log

Logarithmic Distribution
logistic

Logistic Distribution Family Function
lvplot

Latent Variable Plot
marital.nz

New Zealand Marital Data.
multinomial

Multinomial Logit Model
Posnegbin

Positive-Negative Binomial Distribution
posnormal1

Positive Normal Distribution Family Function
qtplot.lmscreg

Quantile Plot for LMS Quantile Regression
Tpareto

The Truncated Pareto Distribution
Zapois

Zero-Altered Poisson Distribution
zigeometric

Zero-Inflated Geometric Distribution Family Function
binormal

Bivariate normal distribution
cao

Fitting Constrained Additive Ordination (CAO)
cauchit

Cauchit Link Function
cgo

Redirects the user to cqo
lerch

Lerch Phi Function
plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression
plotvgam

Default VGAM Plotting
rrvglm-class

Class ``rrvglm''
trplot

Trajectory Plot
vgam.control

Control function for vgam
wffc.nc

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

The Pareto Distribution
Betabinom

The Beta-Binomial Distribution
CommonVGAMffArguments

Common VGAM family function Arguments
coalminers

Breathlessness and Wheeze Amongst Coalminers Data
crashes

Crashes on New Zealand Roads in 2009