A non-parametric method to test the statistical significance in rolling window correlations, and applications to ecological time series

[EN]We provide a non-parametric computing-intensive method to test the statistical significance of the rolling window correlation for bi-variate time series. This method (test) addresses the effects due to the multiple testing (inflation of the Type I error) when the statistical significance is esti...

Descripción completa

Detalles Bibliográficos
Autores: Polanco Martínez, Josué M., López Martínez, José L.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/170013
Acceso en línea:http://hdl.handle.net/10366/170013
Access Level:acceso abierto
Palabra clave:Non-parametric test
multiple testing
Monte-Carlo simulations
rolling window correlation
ecological time series
Descripción
Sumario:[EN]We provide a non-parametric computing-intensive method to test the statistical significance of the rolling window correlation for bi-variate time series. This method (test) addresses the effects due to the multiple testing (inflation of the Type I error) when the statistical significance is estimated for the rolling window correlation coefficients. We follow Telford and Polanco-Martínez to carry out the proposed method. The method is based on Monte Carlo simulations by permuting one of the variables (dependent) under analysis and keeping fixed the other variable (independent). We improve the computational time of this method to reduce the computation time (speedup was up to practically five times faster than the sequential method using 11 cores) through parallel computing. We compare the results obtained through the proposed method with two p-value correction methods frequently used (Bonferroni and Benjamini and Hochberg –BH) after being applied to synthetic and to real-life ecological time series. Our results show that the proposed method works roughly similar to these two p-value correction methods, especially with the method of BH, but our test is a little more restrictive than BH and a little more permissive than Bonferroni. The test is programmed in R and is included in the package NonParRolCor that is available freely on CRAN.