We checked the validity of the assumed covariance model for
spatial correlation using the Monte Carlo algorithm and empirical semi-variogram as described in Supplementary File 1.
«When we compared
the spatial correlation using datasets that include only magnitude 3 - plus earthquakes, there was no change,» said Pollyea, adding that a larger reduction in wastewater injection volumes is needed to reduce the dangers of large magnitude earthquakes.
Not exact matches
To further test the generalizability of this model, Parise and Ernst ran additional computer simulations, where they
used the Multisensory
Correlation Detector model to replicate several previous findings on the temporal and the
spatial aspects of multisensory perception.
Using spatial correlation functions to quantify the differences between emergent cell lineage segregation patterns, we find that strong adhesion often, but not always, maximizes the size of clonal cell clusters on flat surfaces.
Longitudinal mixed models were also
used to estimate the effect of vaccine dose on mean log - transformed antibody levels over time,
using a
spatial exponential covariance structure to model the
correlation between measurements from the same individual while taking into account the number of study days between measurements.
Functional connectivity is typically measured
using one of three approaches: (1) regression analysis
using a seed region of interest (Greicius et al., 2003; Fox et al., 2005), (2) full or partial
correlation analysis of multiple regions of interest (Ryali et al., 2012), or (3) independent component analysis (ICA) of the entire imaging dataset to identify
spatial maps with common temporal profiles (Beckmann and Smith, 2004; Cole et al., 2010).
We first demonstrate less variability of global Pearson
correlations with respect to the two chosen networks
using a sliding - window approach during WM task compared to rest; then we show that the macroscopic decrease in variations in
correlations during a WM task is also well characterized by the combined effect of a reduced number of dominant CAPs, increased
spatial consistency across CAPs, and increased fractional contributions of a few dominant CAPs.
To test that I varied the data sources, the time periods
used, the importance of
spatial auto -
correlation on the effective numbers of degree of freedom, and most importantly, I looked at how these methodologies stacked up in numerical laboratories (GCM model runs) where I knew the answer already.
Degrees of freedom is commonly
used in statistics, but can also describe how much information you really need to describe something after stripping away redundant information (
spatial correlation).
The climate community does not seem to exercise such care, and when their poor
use of methods is pointed out they just ignore it and carry on (I could give scores of examples, from improper
use of principal components, data mining, data snooping,
spatial correlation, upside down data, single cause fallacy... and now uniform priors).
They calculated the so - called shape asymmetries from the seismic data and found each coefficient was essentially zero at activity minimum and rose in precise
spatial correlation with rising surface activity, as measured
using Ca II K data from Big Bear Solar Observatory.
Linear statistics were
used first: area - averaged and Australia - wide
spatial correlations of STR intensity and position with precipitation in south - west eastern Australia reveal that STR intensity has a much stronger and more widespread relationship with precipitation in both seasons.
For example, Jolliffe and Primo (2008)(hereafter JP08)
used a data set which they estimated, after adjusting for temporal and
spatial correlations, to have approximately 17 temporal and 25
spatial degrees of freedom.
Pattern
correlations have been
used because they are simple and are insensitive to errors in the amplitude of the
spatial pattern of response and, if centred, to the global mean response.