ON VALIDATING REGRESSION MODELS WITH BOOTSTRAPS AND DATA SPLITTING TECHNIQUES

1
Dr. T.O Olatayo
Dr. T.O Olatayo
2
A.I Oredein
A.I Oredein
3
A.C Loyinmi
A.C Loyinmi
1 Tai Solarin Universityof education,Ijebu-Ode,Nigeria

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Model validity is the stability and reasonableness of the regression coefficients, the plausibility and usability of the regression function and ability to generalize inference drawn from the regression analysis. Model validation is an important step in the modeling process and helps in assessing the reliability of models before they can be used in decision making. This research work therefore seeks to study regression model validation process by bootstrapping approach and data splitting techniques. We review regression model validation by comparing predictive index accuracy of data splitting techniques and residual resampling bootstraps. Various validation statistic such as the mean square error (MSE), Mallow’s cp and R2 were used as criteria for selecting the best model and the best selection procedure for each data set. The study shows that bootstrap provides the most precise estimate of R2 which reduce the risk over fitted models than in data splitting techniques.

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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

Dr. T.O Olatayo. 1970. \u201cON VALIDATING REGRESSION MODELS WITH BOOTSTRAPS AND DATA SPLITTING TECHNIQUES\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 6): .

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September 7, 2011

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Model validity is the stability and reasonableness of the regression coefficients, the plausibility and usability of the regression function and ability to generalize inference drawn from the regression analysis. Model validation is an important step in the modeling process and helps in assessing the reliability of models before they can be used in decision making. This research work therefore seeks to study regression model validation process by bootstrapping approach and data splitting techniques. We review regression model validation by comparing predictive index accuracy of data splitting techniques and residual resampling bootstraps. Various validation statistic such as the mean square error (MSE), Mallow’s cp and R2 were used as criteria for selecting the best model and the best selection procedure for each data set. The study shows that bootstrap provides the most precise estimate of R2 which reduce the risk over fitted models than in data splitting techniques.

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ON VALIDATING REGRESSION MODELS WITH BOOTSTRAPS AND DATA SPLITTING TECHNIQUES

A.I Oredein
A.I Oredein
Dr. T.O Olatayo
Dr. T.O Olatayo Tai Solarin Universityof education,Ijebu-Ode,Nigeria
A.C Loyinmi
A.C Loyinmi

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