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VGAM (version 0.7-10)

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

0.7-10

License

GPL-2

Maintainer

Thomas Yee

Last Published

January 5th, 2010

Functions in VGAM (0.7-10)

AICvlm

Akaike's Information Criterion
Fisk

The Fisk Distribution
Coef.rrvglm-class

Class ``Coef.rrvglm''
Dagum

The Dagum Distribution
DeLury

DeLury's Method for Population Size Estimation
backPain

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

The Benini Distribution
binom2.or

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

Inputting Data to fit a Bradley Terry Model
AB.Ab.aB.ab2

The AB-Ab-aB-ab2 Blood Group System
bilogistic4

Bivariate Logistic Distribution Family Function
betaprime

The Beta-Prime Distribution
binom2.rho

Bivariate Probit Model (Family Function)
Pareto

The Pareto Distribution
SurvS4-class

Class "SurvS4"
bminz

Body Mass Index of New Zealand Adults Data
biplot-methods

Biplot of Constrained Regression Models
Max

Maxima
Paralogistic

The Paralogistic Distribution
Rayleigh

The Rayleigh Distribution
Invlomax

The Inverse Lomax Distribution
predict.vglm

Predict Method for a VGLM fit
fisherz

Fisher's Z Link Function
cgumbel

Censored Gumbel Distribution
multinomial

Multinomial Logit Model
logc

Complementary-log Link Function
posnegbinomial

Positive Negative Binomial Distribution Family Function
Triangle

The Triangle Distribution
weibull

Weibull Distribution Family Function
plotdeplot.lmscreg

Density Plot for LMS Quantile Regression
zipf

Zipf Distribution Family Function
rrvglm

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

Zero-Inflated Binomial Distribution Family Function
cqo

Fitting Constrained Quadratic Ordination (CQO)
dirmul.old

Fitting a Dirichlet-Multinomial Distribution
ccoef

Extract Model Constrained/Canonical Coefficients
coalminers

Breathlessness and Wheeze Amongst Coalminers Data
cao

Fitting Constrained Additive Ordination (CAO)
AA.Aa.aa

The AA-Aa-aa Blood Group System
CommonVGAMffArguments

Common VGAM family function Arguments
ABO

The ABO Blood Group System
Lomax

The Lomax Distribution
cardioid

Cardioid Distribution Family Function
Invparalogistic

The Inverse Paralogistic Distribution
Inv.gaussian

The Inverse Gaussian Distribution
Coef

Computes Model Coefficients and Quantities
alaplace

Asymmetric Laplace Distribution Family Functions
Coef.qrrvglm

Returns Important Matrices etc. of a QO Object
acat

Ordinal Regression with Adjacent Categories Probabilities
Coef.qrrvglm-class

Class ``Coef.qrrvglm''
calibrate

Model Calibrations
Card

Cardioid Distribution
Links

Link functions for VGLM/VGAM/etc. families
Opt

Maxima
AB.Ab.aB.ab

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

The Laplace Distribution
dirichlet

Fitting a Dirichlet Distribution
Amh

Ali-Mikhail-Haq Distribution's Bivariate Distribution
Sinmad

The Singh-Maddala Distribution
VGAM-package

Vector Generalized Linear and Additive Models
amlnormal

Asymmetric Least Squares Quantile Regression
erf

Error Function
amlbinomial

Binomial Logistic Regression by Asymmetric Maximum Likelihood Estimation
ParetoIV

The Pareto(IV/III/II) Distributions
Betageom

The Beta-Geometric Distribution
Coef.vlm

Extract Model Coefficients for VLM Objects
Bort

The Borel-Tanner Distribution
auuc

Auckland University Undergraduate Counts Data
dirmultinomial

Fitting a Dirichlet-Multinomial Distribution
cao.control

Control Function for RR-VGAMs (CAO)
Betabin

The Beta-Binomial Distribution
amlpoisson

Poisson Regression by Asymmetric Maximum Likelihood Estimation
G1G2G3

The G1G2G3 Blood Group System
betaII

Beta Distribution of the Second Kind
betabinomial

Beta-binomial Distribution Family Function
binomialff

Binomial Family Function
betaff

The Two-parameter Beta Distribution Family Function
SurvS4

Create a Survival Object
calibrate.qrrvglm.control

Control function for CQO/UQO/CAO calibration
Felix

The Felix Distribution
frank

Frank's Bivariate Distribution Family Function
Betanorm

The Beta-Normal Distribution
bratt

Bradley Terry Model With Ties
Coef.rrvglm

Returns Important Matrices etc. of a RR-VGLM Object
bilogis4

Bivariate Logistic Distribution
Tol

Tolerances
Benford

Benford's Distribution
lgammaUC

The Log-Gamma Distribution
betageometric

Beta-geometric Distribution Family Function
lms.bcn

LMS Quantile Regression with a Box-Cox Transformation to Normality
cauchy

Cauchy Distribution Family Function
gammahyp

Gamma Hyperbola Bivariate Distribution
golf

Gamma-Ordinal Link Function
garma

GARMA (Generalized Autoregressive Moving-Average) Models
bisa

Birnbaum-Saunders Distribution Family Function
logit

Logit Link Function
hyperg

Hypergeometric Family Function
hypersecant

Hyperbolic Secant Distribution Family Function
cnormal1

Censored Normal Distribution
cenpoisson

Censored Poisson Family Function
amlexponential

Exponential Regression by Asymmetric Maximum Likelihood Estimation
borel.tanner

Borel-Tanner Distribution Family Function
enzyme

Enzyme Data
betabin.ab

Beta-binomial Distribution Family Function
gaussianff

Gaussian (normal) Family Function
erlang

Erlang Distribution
fnormal1

Folded Normal Distribution Family Function
MNSs

The MNSs Blood Group System
ccoef-methods

Constrained (Canonical) Coefficients
is.smart

Test For a Smart Object
loglaplace

Log-Laplace and Logit-Laplace Distribution Family Functions
chisq

Chi-squared Distribution
mccullagh89

McCullagh (1989) Distribution Family Function
cumulative

Ordinal Regression with Cumulative Probabilities
expexp1

Exponentiated Exponential Distribution
cloglog

Complementary Log-log Link Function
clo

Redirects the user to rrvglm
constraints

Constraint Matrices
cgo

Redirects the user to cqo
ggamma

Generalized Gamma distribution family function
inv.gaussianff

Inverse Gaussian Distribution Family Function
Kumar

The Kumaraswamy Distribution
exponential

Exponential Distribution
freund61

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

Logistic Distribution Family Function
ordpoisson

Ordinal Poisson Family Function
expexp

Exponentiated Exponential Distribution
loglinb3

Loglinear Model for Three Binary Responses
Plackett

Plackett's Bivariate Distribution
gumbelIbiv

Gumbel's Type I Bivariate Distribution Family Function
loglog

Log-log Link Function
iam

Index from Array to Matrix
dcnormal1

Univariate Normal Distribution with Double Censoring
lms.yjn

LMS Quantile Regression with a Yeo-Johnson Transformation to Normality
cdf.lmscreg

Cumulative Distribution Function for LMS Quantile Regression
gumbel

Gumbel Distribution Family Function
lgammaff

Log-gamma Distribution Family Function
fitted.vlm

Fitted Values of a VLM object
lv

Latent Variables
meplot

Mean Excess Plot
frechet

Frechet Distribution Family Function
geometric

Geometric Distribution
guplot

Gumbel Plot
Fgm

Farlie-Gumbel-Morgenstern's Bivariate Distribution
hspider

Hunting Spider Data
plotqtplot.lmscreg

Quantile Plot for LMS Quantile Regression
grc

Fitting Goodman's RC Association Model
lognormal

Lognormal Distribution
genbetaII

Generalized Beta Distribution of the Second Kind
gamma2.ab

2-parameter Gamma Distribution
lerch

Lerch Phi Function
gpdUC

The Generalized Pareto Distribution
loglapUC

The Log-Laplace Distribution
genpoisson

Generalized Poisson distribution
rcqo

Constrained Quadratic Ordination
loglinb2

Loglinear Model for Two Binary Responses
lino

Generalized Beta Distribution Family Function
gev

Generalized Extreme Value Distribution Family Function
mix2exp

Mixture of Two Exponential Distributions
negbinomial

Negative Binomial Distribution Family Function
mbinomial

The Matched Binomial Distribution Family Function
quasipoissonff

Quasi-Poisson Family Function
margeff

Marginal effects for the multinomial logit and cumulative models
Hzeta

Haight's Zeta Function
model.framevlm

Construct the Model Frame of a VLM Object
ggammaUC

The Generalized Gamma Distribution
rrar

Nested reduced-rank autoregressive models for multiple time series
mix2normal1

Mixture of Two Univariate Normal Distributions
gpd

Generalized Pareto Distribution Family Function
hunua

Hunua Ranges Data
deplot.lmscreg

Density Plot for LMS Quantile Regression
riceff

Rice Distribution Family Function
gumbelUC

The Gumbel Distribution
identity

Identity Link Function
invbinomial

Inverse Binomial Distribution Family Function
Posbinom

Positive-Binomial Distribution
gew

General Electric and Westinghouse Data
lqnorm

Minimizing the L-q norm Family Function
fill

Creates a Matrix of Appropriate Dimension
slash

Slash Distribution Family Function
sratio

Ordinal Regression with Stopping Ratios
leukemia

Acute Myelogenous Leukemia Survival Data
loge

Log link function
calibrate-methods

Calibration for Constrained Regression Models
snorm

Skew-Normal Distribution
gamma1

1-parameter Gamma Distribution
calibrate.qrrvglm

Calibration for CQO, UQO and CAO models
cauchit

Cauchit Link Function
logoff

Log link function with an offset
predict.qrrvglm

Predict Method for a CQO fit
Maxwell

The Maxwell Distribution
Tikuv

A Short-tailed Symmetric Distribution
qrrvglm.control

Control function for QRR-VGLMs (CQO)
pareto1

Pareto and Truncated Pareto Distribution Family Functions
mix2poisson

Mixture of Two Poisson Distributions
quasibinomialff

Quasi-Binomial Family Function
laplace

Laplace Distribution
nzc

Chinese Population in New Zealand 1867--2001 Data
morgenstern

Morgenstern's Bivariate Distribution Family Function
gevUC

The Generalized Extreme Value Distribution
cratio

Ordinal Regression with Continuation Ratios
uqo

Fitting Unconstrained Quadratic Ordination (UQO)
notdocumentedyet

Undocumented and Internally Used Functions and Classes
recnormal1

Upper Record Values from a Univariate Normal Distribution
trplot

Trajectory Plot
Zipois

Zero-Inflated Poisson Distribution
Log

Logarithmic Distribution
levy

Levy Distribution Family Function
probit

Probit Link Function
logff

Logarithmic Distribution
zetaff

Zeta Distribution Family Function
leipnik

Leipnik Distribution Family Function
yeo.johnson

Yeo-Johnson Transformation
reciprocal

Reciprocal link function
plotvgam.control

Control Function for plotvgam()
Nakagami

Nakagami Distribution
Pospois

Positive-Poisson Distribution
nzmarital

New Zealand Marital Data.
lvplot

Latent Variable Plot
rdiric

The Dirichlet distribution
normal1

Univariate normal distribution
rlplot.egev

Return Level Plot for GEV Fits
dexpbinomial

Double Exponential Binomial Distribution Family Function
rrvglm.optim.control

Control function for rrvglm() calling optim()
qtplot.gumbel

Quantile Plot for Gumbel Regression
lvplot.qrrvglm

Latent Variable Plot for QO models
propodds

Proportional Odds Model for Ordinal Regression
persp.qrrvglm

Perspective plot for QRR-VGLMs
rrvglm-class

Class ``rrvglm''
lvplot.rrvglm

Latent Variable Plot for RR-VGLMs
smart.mode.is

Determine What Mode the Smart Prediction is In
olympic

2008 Summer Olympic Final Medal Count Data
mckaygamma2

McKay's Bivariate Gamma Distribution
Tpareto

The Truncated Pareto Distribution
skellam

Skellam Distribution Family Function
ruge

Rutherford-Geiger Polonium Data
s

Defining smooths in VGAM formulae
trplot.qrrvglm

Trajectory plot for QRR-VGLMs
vglm-class

Class ``vglm''
chestnz

Chest Pain in NZ Adults Data
skewnormal1

Univariate Skew-Normal Distribution Family Function
fff

F Distribution Family Function
qtplot.lmscreg

Quantile Plot for LMS Quantile Regression
fsqrt

Folded Square Root Link Function
nbolf

Negative Binomial-Ordinal Link Function
polf

Poisson-Ordinal Link Function
gamma2

2-parameter Gamma Distribution
plotqrrvglm

Model Diagnostic Plots for QRR-VGLMs
Posnegbin

Positive-Negative Binomial Distribution
pospoisson

Positive Poisson Distribution Family Function
setup.smart

Smart Prediction Setup
rrvglm.control

Control function for rrvglm
Polono

The Poisson Lognormal Distribution
micmen

Michaelis-Menten Model
lirat

Low-iron Rat Teratology Data
wald

Wald Distribution Family Function
wffc

2008 World Fly Fishing Championships Data
posnormal1

Positive Normal Distribution Family Function
oxtemp

Oxford Temperature Data
vglm

Fitting Vector Generalized Linear Models
prentice74

Prentice (1974) Log-gamma Distribution
Fnorm

The Folded-Normal Distribution
vglmff-class

Class ``vglmff''
get.smart

Retrieve One Component of ``.smart.prediction''
vglm.control

Control function for vglm
wffc.points

Point System for the 2008 World Fly Fishing Championships
smart.expression

S Expression for Smart Functions
yip88

Zero-Inflated Poisson Distribution (Yip (1988) algorithm)
put.smart

Adds a List to the End of the List ``.smart.prediction''
seq2binomial

The Two-stage Sequential Binomial Distribution Family Function
Rice

The Rice Distribution
Zanegbin

Zero-Altered Negative Binomial Distribution
undocumented-methods

Undocumented Methods Functions
Yules

Yule-Simon Distribution
get.smart.prediction

Retrieves ``.smart.prediction''
wffc.nc

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

Poisson Family Function
laplaceUC

The Laplace Distribution
tobit

Tobit Model
Zeta

The Zeta Distribution
pneumo

Pneumoconiosis in Coalminers Data
prplot

Probability Plots for Categorical Data Analysis
zanegbinomial

Zero-Altered Negative Binomial Distribution
posbinomial

Positive Binomial Distribution Family Function
vonmises

von Mises Distribution Family Function
weightsvglm

Prior and Working Weights of a VGLM fit
Zapois

Zero-Altered Poisson Distribution
simplex

Simplex distribution
yulesimon

Yule-Simon Family Function
zinegbinomial

Zero-Inflated Negative Binomial Distribution Family Function
powl

Power Link Function
vsmooth.spline

Vector cubic smoothing spline
beta.ab

The Two-parameter Beta Distribution Family Function
Zibinom

Zero-Inflated Binomial Distribution
lms.bcg

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

The zero Argument in VGAM Family Functions
recexp1

Upper Record Values from a 1-parameter Exponential Distribution
rig

Reciprocal Inverse Gaussian distribution
Zinegbin

Zero-Inflated Negative Binomial Distribution
smartpred

Smart Prediction
wffc.indiv

2008 World Fly Fishing Championships (Individual results) Data
model.matrixvlm

Construct the Design Matrix of a VLM Object
waitakere

Waitakere Ranges Data
zipebcom

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

Toxoplasmosis Data
venice

Venice Maximum Sea Levels Data
plotvgam

Default VGAM Plotting
wffc.teams

2008 World Fly Fishing Championships (Team results) Data
poissonp

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

The Positive-Normal Distribution
zipoisson

Zero-Inflated Poisson Distribution Family Function
rhobit

Rhobit Link Function
vgam-class

Class ``vgam''
studentt

Student t Distribution
vgam.control

Control function for vgam
uqo.control

Control Function for UQO models
usagrain

USA Grain Prices Data
zapoisson

Zero-Altered Poisson Distribution
vgam

Fitting Vector Generalized Additive Models
wrapup.smart

Cleans Up After Smart Prediction