CircSiZer: an exploratory tool for circular data |
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Authors: | María Oliveira Rosa M Crujeiras Alberto Rodríguez-Casal |
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Institution: | 1. Department of Statistics and Operations Research, University of Santiago de Compostela, Galicia, Spain
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Abstract: | Smoothing methods and SiZer (SIgnificant ZERo crossing of the derivatives) are useful tools for exploring significant underlying structures in data samples. An extension of SiZer to circular data, namely CircSiZer, is introduced. Based on scale-space ideas, CircSiZer presents a graphical device to assess which observed features are statistically significant, both for density and regression analysis with circular data. The method is intended for analyzing the behavior of wind direction in the atlantic coast of Galicia (NW Spain) and how it has an influence over wind speed. The performance of CircSiZer is also checked with some simulated examples. |
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