Proceedings of the 1st International Conference on Statistics and Analytics, ICSA 2019, 2-3 August 2019, Bogor, Indonesia

Research Article

Clusterwise Regression Model Development with Gamma Distribution

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  • @INPROCEEDINGS{10.4108/eai.2-8-2019.2290521,
        author={Reski  Syafruddin and Agus M.  Soleh and Aji H.  Wigena},
        title={Clusterwise Regression Model Development with Gamma Distribution},
        proceedings={Proceedings of the 1st International Conference on Statistics and Analytics, ICSA 2019, 2-3 August 2019, Bogor, Indonesia},
        publisher={EAI},
        proceedings_a={ICSA},
        year={2020},
        month={1},
        keywords={clusterwise regression gamma distribution generalized linear model with gamma distribution linear regression model},
        doi={10.4108/eai.2-8-2019.2290521}
    }
    
  • Reski Syafruddin
    Agus M. Soleh
    Aji H. Wigena
    Year: 2020
    Clusterwise Regression Model Development with Gamma Distribution
    ICSA
    EAI
    DOI: 10.4108/eai.2-8-2019.2290521
Reski Syafruddin1,*, Agus M. Soleh1, Aji H. Wigena1
  • 1: Department of Statistics, IPB University, Indonesia
*Contact email: reski_syafruddin@apps.ipb.ac.id

Abstract

This paper present development of clusterwise regression with a data set that has gamma distribution. Clusterwise regression is a method that finds simultaneously an optimal member of data in k cluster and each cluster have the best regression model. Analysis of a simulated data set has also been presented for illustrative purposes. Gamma and normal distributions were used for distribution of responses scenario with different parameters. This simulation study is carried out by initializing the number of clusters, classify observations randomly as an initial partition, move observation to the cluster giving the smallest residual and re-estimate the regression model from final partition. This simulation showed that clusterwise regression is able to form partition according to the distribution of data, also to form the best generalized linear model with Gamma distribution and linear regression model.