AN OVERVIEW ON COMPARATIVE METHODOLOGY OF CLASSICAL OLS AND TWO-STAGE TECHNIQUES IN REGRESSION ANALYSIS MODEL

Abstract This article provides a methodological overview for the classical Ordinary Least Square (OLS) and Instrumental variable (or Two-stages) technique by discussing the conditions that satisfy the use of the method. The Ordinary Least Squares (OLS) estimator in the classical linear regression model is considered the Best Linear Unbiased Estimator (BLUE) if the model assumptions hold. When these assumptions are met, OLS provides linear, unbiased estimates with the smallest variance compared to other estimators. Although alternative methods exist, especially for specific issues like multicollinearity or heteroscedasticity, OLS remains the most efficient estimator, particularly in large samples. Even when assumptions are slightly violated, OLS generally performs well, maintaining its reliability due to the central limit theorem.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-10-23
DOI
https://doi.org/10.5281/zenodo.14196325
Primary Topic
Advanced Statistical Methods and Models
Type
article
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article

AN OVERVIEW ON COMPARATIVE METHODOLOGY OF CLASSICAL OLS AND TWO-STAGE TECHNIQUES IN REGRESSION ANALYSIS MODEL

Zenodo (CERN European Organization for Nuclear Research)
Advanced Statistical Methods and Models
article

AN OVERVIEW ON COMPARATIVE METHODOLOGY OF CLASSICAL OLS AND TWO-STAGE TECHNIQUES IN REGRESSION ANALYSIS MODEL

article en

Abstract

Abstract This article provides a methodological overview for the classical Ordinary Least Square (OLS) and Instrumental variable (or Two-stages) technique by discussing the conditions that satisfy the use of the method. The Ordinary Least Squares (OLS) estimator in the classical linear regression model is considered the Best Linear Unbiased Estimator (BLUE) if the model assumptions hold. When these assumptions are met, OLS provides linear, unbiased estimates with the smallest variance compared to other estimators. Although alternative methods exist, especially for specific issues like multicollinearity or heteroscedasticity, OLS remains the most efficient estimator, particularly in large samples. Even when assumptions are slightly violated, OLS generally performs well, maintaining its reliability due to the central limit theorem.

Zenodo (CERN European Organization for Nuclear Research)
Umm al-Qura University (SA)
Openalex Percentile: Top 49%
Advanced Statistical Methods and Models
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