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Mathematics
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2023
Data sources: DOAJ
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K-L Estimator: Dealing with Multicollinearity in the Logistic Regression Model

Authors: Adewale F. Lukman; B. M. Golam Kibria; Cosmas K. Nziku; Muhammad Amin; Emmanuel T. Adewuyi; Rasha Farghali;

K-L Estimator: Dealing with Multicollinearity in the Logistic Regression Model

Abstract

Multicollinearity negatively affects the efficiency of the maximum likelihood estimator (MLE) in both the linear and generalized linear models. The Kibria and Lukman estimator (KLE) was developed as an alternative to the MLE to handle multicollinearity for the linear regression model. In this study, we proposed the Logistic Kibria-Lukman estimator (LKLE) to handle multicollinearity for the logistic regression model. We theoretically established the superiority condition of this new estimator over the MLE, the logistic ridge estimator (LRE), the logistic Liu estimator (LLE), the logistic Liu-type estimator (LLTE) and the logistic two-parameter estimator (LTPE) using the mean squared error criteria. The theoretical conditions were validated using a real-life dataset, and the results showed that the conditions were satisfied. Finally, a simulation and the real-life results showed that the new estimator outperformed the other considered estimators. However, the performance of the estimators was contingent on the adopted shrinkage parameter estimators.

Keywords

Kibria-Lukman estimator, Liu estimator, QA1-939, ridge regression estimator, multicollinearity, logistic regression model, Mathematics, Kibria-Lukman estimator; logistic regression model; Liu estimator; multicollinearity; ridge regression estimator

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Top 10%
Top 10%
Top 10%
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