Finally, the numerical example shows the identification of the potential outliers and the results extracted from the proposed approaches are more scientific, systematic and its exactness outperforms the Hadi's traditional approach.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:This paper proposed an exact distribution of Hadi's influence measure that can be used to evaluate the potential outliers in a linear multiple regression analysis.
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Temel Bulgular & Veri:Moreover, the first two moments of the distribution are derived in terms of Beta function and the authors computed the critical points of Hadi's measures at 5% and 1% significance level for different sample sizes and varying no. of predictors.
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Sonuç & Katkı:Finally, the numerical example shows the identification of the potential outliers and the results extracted from the proposed approaches are more scientific, systematic and its exactness outperforms the Hadi's traditional approach.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hadi's measure · Potential outliers · Series expression form
Abstract
This paper proposed an exact distribution of Hadi's influence measure that can be used to evaluate the potential outliers in a linear multiple regression analysis. The authors explored a relationship between the measure in terms of two independent F-ratios and they derived density function of the measure in a complicated series expression form with Gauss hyper-geometric function. Moreover, the first two moments of the distribution are derived in terms of Beta function and the authors computed the critical points of Hadi's measures at 5% and 1% significance level for different sample sizes and varying no. of predictors. Finally, the numerical example shows the identification of the potential outliers and the results extracted from the proposed approaches are more scientific, systematic and its exactness outperforms the Hadi's traditional approach.
Jayakumar, G. S., Sulthan, A. (2019). Exact distribution of Hadi's $(H^2)$ influence measure and identification of potential outliers. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 2. https://ajindex.com/articles/1402821
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