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lrmest (version 1.0)

Different types of estimators to deal with multicollinearity.

Description

When multicollinearity exists among predictor variables of the linear model, least square estimators does not provide a better solution for estimating parameters. To deal with multicollinearity several estimators are proposed in the literature. Some of these estimators are Ordinary Least Square Estimator (OLSE), Ordinary Ridge Regression Estimator (ORRE), Restricted Least Square Estimator (RLSE), Ordinary Mixed Regression Estimator (OMRE), Liu Estimator (LE), Restricted Liu Estimator (RLE), Stochastic Restricted Liu Estimator (SRLE), Type (1) Liu Estimator (Type-1 LTE), Type (2) Liu Estimator (Type-2 LTE), Type (3) Liu Estimator (Type-3 LTE), Type (1) Adjusted Liu Estimator (Type-1 ALTE), Type (2) Adjusted Liu Estimator (Type-2 ALTE), Type (3) Adjusted Liu Estimator (Type-3 ALTE), Almost Unbiased Ridge Estimator (AURE), Almost Unbiased Liu Estimator (AULE), Stochastic Restricted Ridge Estimator (SRRE) and Restricted Ridge Regression Estimator (RRRE). To select the best estimator in a practical situation the Mean Square Error (MSE) is used. Using this package scalar MSE value of all the above estimators and Prediction Sum of Square (PRESS) values of some of the estimators can be obtained, and the variation of the MSE and PRESS values for the relevant estimators can be shown graphically.

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Version

Install

install.packages('lrmest')

Monthly Downloads

20

Version

1.0

License

GPL-2 | GPL-3

Maintainer

Ajith Dissanayake

Last Published

August 31st, 2013

Functions in lrmest (1.0)

lte1

Type (1) Liu Estimator
alte2

Type (2) Adjusted Liu Estimator
ols

Ordinary Least Square Estimators
lrmest-package

Estimation of varies types of estimators in the linear model
aul

Almost Unbiased Liu Estimator
checkm

Check the degree of multicollinearity present in the dataset
alte3

Type (1) Adjusted Liu Estimator
liu

Liu Estimator
rliu

Restricted Liu Estimator
lte3

Type (3) Liu Estimator
srliu

Stochastic Restricted Liu Estimator
optimum

Summary of optimum scalar Mean Square Error values of all estimators and optimum Prediction Sum of Square values of some of the estimators
rrre

Restricted Ridge Regression Estimator
pcd

Portland Cement Dataset
rid

Ordinary Ridge Regression Estimator
aur

Almost Unbiased Ridge Estimator
rls

Restricted Least Square Estimator
mixe

Ordinary Mixed Regression Estimator
lte2

Type (2) Liu Estimator
srre

Stochastic Restricted Ridge Estimator
alte1

Type (1) Adjusted Liu Estimator