Mantel test for spatial functional data
| Autor: | Ramón Giraldo, Jesús Hernán Camacho-Tamayo, William Caballero |
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| Rok vydání: | 2016 |
| Předmět: |
0106 biological sciences
Statistics and Probability Economics and Econometrics Applied Mathematics Functional data analysis Context (language use) computer.software_genre 010603 evolutionary biology 01 natural sciences Field (geography) Data set 010104 statistics & probability Modeling and Simulation Spatial descriptive statistics Mantel test Data mining 0101 mathematics Spatial analysis computer Social Sciences (miscellaneous) Analysis Statistic Mathematics |
| Zdroj: | AStA Advances in Statistical Analysis. 102:21-39 |
| ISSN: | 1863-818X 1863-8171 |
| DOI: | 10.1007/s10182-016-0280-1 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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