Micronumerosity in Classical Linear Regression

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Date

2015

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Journal ISSN

Volume Title

Publisher

College of Natural and Applied Sciences, University of Port Harcourt, Nigeria

Abstract

This study studied the problem of micronumerosity in Classical Linear Regression (CLR) in other to prescribe appropriate remedy to the problem if encountered at any CLR analysis. The study is aimed at determining an optimum sample size n*, such that when the number of observations of variables in CLR is greater than (i.e n > n*) then micronemerosity is not a problem. It also suggests means of correcting micronumerosity in CLR. The minimum sample size (n) for a given number of independent variables (p) and level of correlation between the dependent and independent variable(s) were determined. Also, Factor analysis served as the best method of overcoming problem of micronumerosity.
This study studied the problem of micronumerosity in Classical Linear Regression (CLR) in other to prescribe appropriate remedy to the problem if encountered at any CLR analysis. The study is aimed at determining an optimum sample size n*, such that when the number of observations of variables in CLR is greater than (i.e n > n*) then micronemerosity is not a problem. It also suggests means of correcting micronumerosity in CLR. The minimum sample size (n) for a given number of independent variables (p) and level of correlation between the dependent and independent variable(s) were determined. Also, Factor analysis served as the best method of overcoming problem of micronumerosity.

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Keywords

Micronumerosity, Multicollinearity, Linear regression, Principal component analysis, Factor analysis, Micronumerosity, Multicollinearity, Linear regression, Principal component analysis, Factor analysis

Citation

Scientia Africana

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