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Local influence for functional comparative calibration models with replicated data

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  • Patricia Giménez
  • María Patat

Abstract

We investigate local influence analysis in functional comparative calibration models with replicated data. A method for selecting appropriate perturbation schemes based on the expected Fisher information matrix with respect to the perturbation vector is proposed. It is shown that arbitrarily perturbing these models may result in misleading inference about the influential subjects. First-order influence measures for identifying the correct influential subjects and replicates on corrected score estimators are defined. We introduce different perturbation schemes including perturbation of subjects and replicates on the corrected likelihood function and obtain the density of the perturbed model from which the methodology is based. Particularly, three perturbation of variances schemes could be a better way to handle badly modeled subjects or replicates. Two real data sets are analyzed to illustrate the use of our local influence measures. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Patricia Giménez & María Patat, 2014. "Local influence for functional comparative calibration models with replicated data," Statistical Papers, Springer, vol. 55(2), pages 431-454, May.
    • Handle: RePEc:spr:stpapr:v:55:y:2014:i:2:p:431-454
    DOI: 10.1007/s00362-012-0489-3
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    References listed on IDEAS

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    6. Giménez, Patricia & Patat, María Laura, 2005. "Estimation in comparative calibration models with replicate measurement," Statistics & Probability Letters, Elsevier, vol. 71(2), pages 155-164, February.
    7. Víctor Lachos & Filidor Vilca & Manuel Galea, 2007. "Influence diagnostics for the Grubbs's model," Statistical Papers, Springer, vol. 48(3), pages 419-436, September.
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    Cited by:

    1. Galea, Manuel & de Castro, Mário, 2017. "Robust inference in a linear functional model with replications using the t distribution," Journal of Multivariate Analysis, Elsevier, vol. 160(C), pages 134-145.
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