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Mantel test for spatial functional data

Author

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  • Ramón Giraldo

    (Universidad Nacional de Colombia)

  • William Caballero

    (Escuela Naval de Cadetes)

  • Jesús Camacho-Tamayo

    (Universidad Nacional de Colombia)

Abstract

Statistics for spatial functional data is an emerging field in statistics which combines methods of spatial statistics and functional data analysis to model spatially correlated functional data. Checking for spatial autocorrelation is an important step in the statistical analysis of spatial data. Several statistics to achieve this goal have been proposed. The test based on the Mantel statistic is widely known and used in this context. This paper proposes an application of this test to the case of spatial functional data. Although we focus particularly on geostatistical functional data, that is functional data observed in a region with spatial continuity, the test proposed can also be applied with functional data which can be measured on a discrete set of areas of a region (areal functional data) by defining properly the distance between the areas. Based on two simulation studies, we show that the proposed test has a good performance. We illustrate the methodology by applying it to an agronomic data set.

Suggested Citation

  • Ramón Giraldo & William Caballero & Jesús Camacho-Tamayo, 2018. "Mantel test for spatial functional data," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(1), pages 21-39, January.
    • Handle: RePEc:spr:alstar:v:102:y:2018:i:1:d:10.1007_s10182-016-0280-1
    DOI: 10.1007/s10182-016-0280-1
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    References listed on IDEAS

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    Cited by:

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    2. Římalová, Veronika & Fišerová, Eva & Menafoglio, Alessandra & Pini, Alessia, 2022. "Inference for spatial regression models with functional response using a permutational approach," Journal of Multivariate Analysis, Elsevier, vol. 189(C).

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