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

Research Article

Hierarchical Generalized Linear Mixed Models for Multilevel Analysis of Indonesian Student’s PISA Mathematics Literacy Achievement

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  • @INPROCEEDINGS{10.4108/eai.2-8-2019.2290468,
        author={Tonah  Tonah and Anang  Kurnia and Kusman  Sadik},
        title={Hierarchical Generalized Linear Mixed Models for Multilevel Analysis of  Indonesian Student’s PISA Mathematics Literacy Achievement},
        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={hierarchical generalized linear mixed models multilevel generalized  linear models pisa mathematics literacy achievement},
        doi={10.4108/eai.2-8-2019.2290468}
    }
    
  • Tonah Tonah
    Anang Kurnia
    Kusman Sadik
    Year: 2020
    Hierarchical Generalized Linear Mixed Models for Multilevel Analysis of Indonesian Student’s PISA Mathematics Literacy Achievement
    ICSA
    EAI
    DOI: 10.4108/eai.2-8-2019.2290468
Tonah Tonah1,*, Anang Kurnia2, Kusman Sadik2
  • 1: Mathematics Education Department, Universitas Swadaya Gunung Jati, Cirebon, 45132, Indonesia
  • 2: Statistics Department, IPB University, Bogor, 16680, Indonesia
*Contact email: tonah31780406@gmail.com

Abstract

Generally, learning assessment and evaluation data in educational has a hierarchical structures one of which is PISA data. Multilevel models are methods that can be used to analyse hierarchical data structures and can be considered as HGLM models. This study has two objectives namely, examine the distribution of variable mathematical literacy and selecting the best HGLM model to determine student and school level variables that significantly influence students' mathematical literacy achievement. The result we have obtained are mathematical literacy achievement has lognormal distribution and M7 model is the best model.