2016
DOI: 10.4236/ojs.2016.61009
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An Alternative Approach to AIC and Mallow’s Cp Statistic-Based Relative Influence Measures (RIMS) in Regression Variable Selection

Abstract: Outlier detection is an important data screening type. RIM is a mechanism of outlier detection that identifies the contribution of data points in a regression model. A BIC-based RIM is essentially a technique developed in this work to simultaneously detect influential data points and select optimal predictor variables. It is an addition to the body of existing literature in this area of study to both having an alternative to the AIC and Mallow's C p Statistic-based RIM as well as conditions of no influence, so… Show more

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Cited by 7 publications
(5 citation statements)
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“…of the EPLLD using data on the survival times of guinea pigs injected with different amount of tubercle bacilli. This is because their standard errors are minimum [23,24,25,26].…”
Section: Numerical Applicationmentioning
confidence: 99%
“…of the EPLLD using data on the survival times of guinea pigs injected with different amount of tubercle bacilli. This is because their standard errors are minimum [23,24,25,26].…”
Section: Numerical Applicationmentioning
confidence: 99%
“…It has been used in many fields including econometrics, chemistry, and engineering (Gruber, & Schucany, 2020). Uzoma, & Jeremiah, (2016) developed outlier detection and optimal variable selection techniques in regression analysis and other fascinating papers by the authors include (Anabike et al, 2023;Innocent et al, 2023;Abuh, Onyeagu, & Obulezi, 2023a;Abuh, Onyeagu, & Obulezi, 2023b;.…”
Section: Suggested Citationmentioning
confidence: 99%
“…Hannan-Quinn Information Criterion, and Kolmogorov-Smirnov (K-S) statistics, is best among others. See Uzoma and Obulezi (Uzoma& Obulezi, 2016) for relevant modification on model performance criteria using Bayesian Information Criterion (BIC). From table 2, the SR distribution has a better fit to the data on blood cancer (Leukemia) from one the health hospital in Saudi Arabia, since its probability value is the largest among other probabilities that are greater than 0.05.…”
Section: Data Set On Blood Cancer Leukemiamentioning
confidence: 99%