2022
DOI: 10.1016/j.mex.2022.101660
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Statistical tests for non-independent partitions of large autocorrelated datasets

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Cited by 3 publications
(7 citation statements)
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References 7 publications
(13 reference statements)
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“…We defined the magnitude of the spatial correlation in each trend dataset as the unexplained variation in trends among pixels where the magnitude of autocorrelation depends on the distance between pixels (i.e., pixels located closer are more similar):cor}{,eiejgoodbreak=nuggetgoodbreak+)(1goodbreak−nuggetexpditalicijrangeshape,where cor{ e i , e j } is the correlation between the random errors in pixels i and j , e i and e j , d ij is the distance between pixels, and nugget, range, and shape are parameters that determine the dependence of the correlation on distance. We calculated the range and shape of spatial correlation for each trend map, which give the distance beyond which two pixels are uncorrelated and the shape of the decay function, respectively (Ives et al, 2021, 2022).…”
Section: Methodsmentioning
confidence: 99%
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“…We defined the magnitude of the spatial correlation in each trend dataset as the unexplained variation in trends among pixels where the magnitude of autocorrelation depends on the distance between pixels (i.e., pixels located closer are more similar):cor}{,eiejgoodbreak=nuggetgoodbreak+)(1goodbreak−nuggetexpditalicijrangeshape,where cor{ e i , e j } is the correlation between the random errors in pixels i and j , e i and e j , d ij is the distance between pixels, and nugget, range, and shape are parameters that determine the dependence of the correlation on distance. We calculated the range and shape of spatial correlation for each trend map, which give the distance beyond which two pixels are uncorrelated and the shape of the decay function, respectively (Ives et al, 2021, 2022).…”
Section: Methodsmentioning
confidence: 99%
“…Developed by Ives et al (2021Ives et al ( , 2022 PARTS is a three-step statistical approach that allows for the analysis of trends in time series of raster data while accounting for temporal and spatial autocorrelation and in combination with additional covariates (e.g., meteorological data, or land cover information). First, by using an autoregressive model, PARTS derives temporally uncorrelated trends for each pixel in the time series.…”
Section: Parts: Accounting For Temporal and Spatial Autocorrelation I...mentioning
confidence: 99%
“…The remotePARTS package then calculated cross‐partition statistics from pairs of partitions and summarized the results with statistical tests that account for correlations among partitions. This method has been demonstrated to have good statistical performance and is suitable for hypothesis testing with large spatial or temporal datasets (Ives et al, 2022).…”
Section: Methodsmentioning
confidence: 99%
“…There is a large computational burden to fit models with a regular GLS given the large number of grid cells in this study (n = 12,700; which means a distance and covariance matrix with >161 million elements). To overcome these computational limitations, we conducted all spatial analyses with the R package "re-motePARTS" (Ives et al, 2021), which allows for the partitioning of large spatial datasets and a later integration of regression results derived from these data (Ives et al, 2022). Specifically, remotePARTS uses the "split and conquer" strategy to analyse random partitions of the data separately, then combines the statistical results from all partitions into an overall statistical test.…”
Section: We Examined Correlations Among Predictor Variables Withmentioning
confidence: 99%
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