ANOVA for Metric Spaces, with Applications to Spatial Data
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Título
ANOVA for Metric Spaces, with Applications to Spatial DataFecha de publicación
2024-05-01Editor
Institute of Mathematical StatisticsISSN
0883-4237Cita bibliográfica
Müller, Raoul, Dominic Schuhmacher, and Jorge Mateu. "ANOVA for metric spaces, with applications to spatial data." Statistical Science 39.2 (2024): 262-285.Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We give a review of some recent ANOVA-like procedures for testing group differences based on data in a metric space and present a new such
procedure. Our statistic is derived from the classic Levene’s test for detecting ... [+]
We give a review of some recent ANOVA-like procedures for testing group differences based on data in a metric space and present a new such
procedure. Our statistic is derived from the classic Levene’s test for detecting differences in dispersion. It uses only pairwise distances of data points
and can be computed quickly and precisely in situations where the computation of barycenters (“generalized means”) in the data space is slow, only by
approximation or even infeasible. It also satisfies asymptotic normality.
We discuss the relative merits of the various procedures based on simulation studies for spatial point patterns and image data in a 1-way ANOVA
setting. As applications, we perform 1- and 2-way ANOVAs on a data set of
bubbles in a mineral flotation process and a data set of local pest counts in
Madrid. [-]
Publicado en
Statist. Sci. 39(2): 262-285 (May 2024). DOI: 10.1214/23-STS898Entidad financiadora
Deutsche Forschungsgemeinschaft | Ministerio de Ciencia, Innovación y Universidades | Universitat Jaume I
Código del proyecto o subvención
GRK 2088 | PID2019-107392RB-I00 | UJI-B2021-37
Derechos de acceso
Copyright © 2024 Institute of Mathematical Statistics
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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