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Assessing local cluster influence in generalized linear mixed models

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  • Liming Xiang
  • Andy Lee
  • Siu-Keung Tse

Abstract

This paper investigates local influence measures for assessing cluster influence in generalized linear mixed models. Several cluster-specific perturbation schemes are considered. The proposed local influence diagnostics are applied to analyse maternity length of inpatient stay data where individual observations are nested within hospitals and the relative performance of hospitals is of interest.

Suggested Citation

  • Liming Xiang & Andy Lee & Siu-Keung Tse, 2003. "Assessing local cluster influence in generalized linear mixed models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(4), pages 349-359.
    • Handle: RePEc:taf:japsta:v:30:y:2003:i:4:p:349-359
    DOI: 10.1080/0266476032000035395
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    References listed on IDEAS

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    1. Xiao, Jianguo & Lee, Andy H. & Vemuri, Siva Ram, 1999. "Mixture distribution analysis of length of hospital stay for efficient funding," Socio-Economic Planning Sciences, Elsevier, vol. 33(1), pages 39-59, March.
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    Cited by:

    1. Alejandra Tapia & Victor Leiva & Maria del Pilar Diaz & Viviana Giampaoli, 2019. "Influence diagnostics in mixed effects logistic regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 920-942, September.
    2. Alejandra Tapia & Viviana Giampaoli & Víctor Leiva & Yuhlong Lio, 2020. "Data-Influence Analytics in Predictive Models Applied to Asthma Disease," Mathematics, MDPI, vol. 8(9), pages 1-19, September.
    3. Pinho, Luis Gustavo B. & Nobre, Juvêncio S. & Singer, Julio M., 2015. "Cook’s distance for generalized linear mixed models," Computational Statistics & Data Analysis, Elsevier, vol. 82(C), pages 126-136.

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