The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression

This article is concerned with the performance of the maximum estimated likelihood estimator in the presence of separation in the space of the independent variables and high leverage points. The maximum likelihood estimator suffers from the problem of non overlap cases in the covariates where the re...

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Main Authors: Ariffin @ Mat Zin, Syaiba Balqish, Midi, Habshah, Arasan, Jayanthi, Rana, Md. Sohel
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2014
Online Access:http://psasir.upm.edu.my/id/eprint/57382/
http://psasir.upm.edu.my/id/eprint/57382/1/The%20effect%20of%20high%20leverage%20points%20on%20the%20maximum%20estimated%20likelihood%20for%20separation%20in%20logistic%20regression.pdf
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author Ariffin @ Mat Zin, Syaiba Balqish
Midi, Habshah
Arasan, Jayanthi
Rana, Md. Sohel
author_facet Ariffin @ Mat Zin, Syaiba Balqish
Midi, Habshah
Arasan, Jayanthi
Rana, Md. Sohel
author_sort Ariffin @ Mat Zin, Syaiba Balqish
building UPM Institutional Repository
collection Online Access
description This article is concerned with the performance of the maximum estimated likelihood estimator in the presence of separation in the space of the independent variables and high leverage points. The maximum likelihood estimator suffers from the problem of non overlap cases in the covariates where the regression coefficients are not identifiable and the maximum likelihood estimator does not exist. Consequently, iteration scheme fails to converge and gives faulty results. To remedy this problem, the maximum estimated likelihood estimator is put forward. It is evident that the maximum estimated likelihood estimator is resistant against separation and the estimates always exist. The effect of high leverage points are then investigated on the performance of maximum estimated likelihood estimator through real data sets and Monte Carlo simulation study. The findings signify that the maximum estimated likelihood estimator fails to provide better parameter estimates in the presence of both separation, and high leverage points.
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format Conference or Workshop Item
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institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:52:35Z
publishDate 2014
publisher AIP Publishing LLC
recordtype eprints
repository_type Digital Repository
spelling upm-573822017-09-27T07:03:19Z http://psasir.upm.edu.my/id/eprint/57382/ The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression Ariffin @ Mat Zin, Syaiba Balqish Midi, Habshah Arasan, Jayanthi Rana, Md. Sohel This article is concerned with the performance of the maximum estimated likelihood estimator in the presence of separation in the space of the independent variables and high leverage points. The maximum likelihood estimator suffers from the problem of non overlap cases in the covariates where the regression coefficients are not identifiable and the maximum likelihood estimator does not exist. Consequently, iteration scheme fails to converge and gives faulty results. To remedy this problem, the maximum estimated likelihood estimator is put forward. It is evident that the maximum estimated likelihood estimator is resistant against separation and the estimates always exist. The effect of high leverage points are then investigated on the performance of maximum estimated likelihood estimator through real data sets and Monte Carlo simulation study. The findings signify that the maximum estimated likelihood estimator fails to provide better parameter estimates in the presence of both separation, and high leverage points. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57382/1/The%20effect%20of%20high%20leverage%20points%20on%20the%20maximum%20estimated%20likelihood%20for%20separation%20in%20logistic%20regression.pdf Ariffin @ Mat Zin, Syaiba Balqish and Midi, Habshah and Arasan, Jayanthi and Rana, Md. Sohel (2014) The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression. In: 2nd ISM International Statistical Conference 2014 (ISM-II), 12-14 Aug. 2014, MS Garden Hotel, Kuantan, Pahang. (pp. 402-408). 10.1063/1.4907472
spellingShingle Ariffin @ Mat Zin, Syaiba Balqish
Midi, Habshah
Arasan, Jayanthi
Rana, Md. Sohel
The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression
title The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression
title_full The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression
title_fullStr The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression
title_full_unstemmed The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression
title_short The effect of high leverage points on the maximum estimated likelihood for separation in logistic regression
title_sort effect of high leverage points on the maximum estimated likelihood for separation in logistic regression
url http://psasir.upm.edu.my/id/eprint/57382/
http://psasir.upm.edu.my/id/eprint/57382/
http://psasir.upm.edu.my/id/eprint/57382/1/The%20effect%20of%20high%20leverage%20points%20on%20the%20maximum%20estimated%20likelihood%20for%20separation%20in%20logistic%20regression.pdf