wlmtest {wsyn} | R Documentation |
Statistical comparison of wavelet linear models
Description
Compares a wavelet linear model with a nested model. Also the generator function for
the wlmtest
class.
Usage
wlmtest(wlmobj, drop, sigmethod, nrand = 1000)
Arguments
wlmobj |
A |
drop |
Either names or indices of variables in |
sigmethod |
Method for significance testing. One of " |
nrand |
The number of randomizations to do for significance |
Details
The slot signif
provides the core information on significance.
If sigmethod
is not "fast
", then signif$coher
is the same as
wlmobj$coher
, and signif$scoher
is a matrix of dimensions nrand
by
length(signif$coher)
with rows equal to coherences between refitted models and the
response-variable transforms, for datasets where the variables specified in drop
have
been replaced by surrogates. Normalization as specified in norm
is used. The type
of surrogate used (Fourier surrogates or amplitude adjusted Fourier surrogates, see
surrog
) is determined by sigmethod
("fft
" or "aaft
").
Synchrony-preserving surrogates are used. A variety of statements of significance (or lack
thereof) can be made by comparing signif$coher
with signif$scoher
(see the
plotmag
, plotrank
, and bandtest
methods
for the wlmtest
class). If sigmethod
is
"fast
", a fast algorithm of Lawrence Sheppard is used which is a generalization
to wavelet linear models of the fast algorithm for coherence described in Sheppard et al (2017).
In that case
signif$coher
can be compared to signif$scoher
to make significance
statements about the coherence in exactly the same way, but signif$coher
will no
longer precisely equal wlmobj$coher
, and wlmobj$coher
should not be compared
directly to signif$scoher
. Statements about significance of the coherence
should be made using signif$coher
and signif$scoher
, whereas wlmobj$coher
should be used whenever the actual value of the coherence is needed.
The slots ranks
and bandp
are empty on an initial call to wlmtest
.
They are made to compute and hold
aggregate significance results over any timescale band of choice. These are filled in
when needed by other methods, see plotrank
and bandtest
.
Value
wlmtest
returns an object of class wlmtest
. Slots are:
wlmobj |
The input |
drop |
The input |
signif |
A list with information from the significance testing. Elements are
|
ranks |
A list with ranking information for |
bandp |
A data frame containing results of computing significances across
timescale bands. Empty on an initial call to |
Author(s)
Thomas Anderson, anderstl@gmail.com, Jon Walter, jaw3es@virginia.edu; Lawrence Sheppard, lwsheppard@ku.edu; Daniel Reuman, reuman@ku.edu
References
Sheppard, L.W., et al. (2016) Changes in large-scale climate alter spatial synchrony of aphid pests. Nature Climate Change. DOI: 10.1038/nclimate2881
Sheppard, L.W., et al. (2017) Rapid surrogate testing of wavelet coherences. European Physical Journal, Nonlinear and Biomedical Physics, 5, 1. DOI: 10.1051/epjnbp/2017000
Sheppard, LW et al. (2019) Synchrony is more than its top-down and climatic parts: interacting Moran effects on phytoplankton in British seas. Plos Computational Biology 15, e1006744. doi: 10.1371/journal.pcbi.1006744
See Also
wlm
, plotrank
, bandtest
, coh
,
wlmtest_methods
, browseVignettes("wsyn")
Examples
times<-1:30
dat<-list(v1=matrix(rnorm(300),10,30),v2=matrix(rnorm(300),10,30),v3=matrix(rnorm(300),10,30),
v4=matrix(rnorm(300),10,30),v5=matrix(rnorm(300),10,30))
dat<-lapply(FUN=function(x){cleandat(x,times,1)$cdat},X=dat)
resp<-1
pred<-2:3
norm<-"powall"
wlmobj<-wlm(dat,times,resp,pred,norm)
drop<-3
sigmethod<-"fft"
res<-wlmtest(wlmobj,drop,sigmethod,nrand=10)