<html><head><meta http-equiv="Content-Type" content="text/html charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class=""><div class=""><span class="">Dear all</span></div><span class=""></span><span class=""><div class=""><span class=""><br class=""></span></div>I have a question about the 15% residual variance threshold suggested in the tutorial and used in papers.</span><span class=""><br class=""><br class=""></span><span class="">It is mentioned in Delorne et al (2012) that the ‘dipolarity’ </span><span class="">reflects the quality of decomposition, where d</span>ipolarity is defined as "the number of returned components whose scalp maps can be fit to the scalp projection of a single equivalent dipole with less than a specified error threshold (specified as percent residual variance)”.<div class=""><br class=""></div><div class="">However, I find the wording in the tutorial and in several papers (Rissling et al (2014), MacLean (2014)) to be confusing, e.g.:</div><div class=""><br class=""></div><div class="">Rissling, 2014:</div><div class=""><br class=""></div><div class="">"For each IC, the 3-Dlocation of the best-fitting equivalent
current dipole was estimated using DIPFIT 2.2 (EEGLAB plug-in using Fieldtrip
toolbox functions, developed by Robert Oostenveld) using a Montreal
Neurological Institute (MNI) template head model. The close resemblance of
the projection patterns of many EEG independent component (IC) processes to the
projection of a single equivalent current dipole is compatible with an origin
in (partially) coherent local field activity across a single cortical area or
patch (Delorme et al., 2012). Since the ‘dipolarity’ of the IC scalp maps has
been shown to reflect quality of de- composition (Delorme et al., 2012),
ICs whose equivalent dipole model when projected to the scalp accounted for less
than 85% of the IC scalp map were excluded from further analyses.</div><div class=""><br class=""></div><div class="">
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<!--StartFragment--><p class="MsoNormal">MacLean, 2014:</p><p class="MsoNormal">"Once the ICs were calculated, a scalp map for each IC was
computed from the inverse of the weight matrix, giving the relative magnitude
and polarity of the IC contribution at each electrode. Each scalp map was then
compared with the forward solutions for various single equivalent dipoles. The
digitized 3-D locations of the electrodes on the scalp were first co-registered
with the Montreal Neurological Institute (MNI) average brain. IC sources were
then localized with the Dipfit2 algorithm in EEGLAB using a standard boundary element
model. Dipfit2 is a BESA derivative in which the location and orientation of an
equivalent dipolar source for a given scalp potential distribution is estimated
by a gradient descent method. Only ICs with scalp maps having an inverse
solution for a single dipole source within Talairach (MRI) space (within the
brain) of less than 15% residual variance (RV) were considered to be valid and
were included in subsequent analyses. All ICs sourced outside Talairach brain
space were rejected as artifactual. These latter included ICs representing
ocular and temporo-mandibular joint muscle artifacts whose sources were within
the head but not within the brain."<o:p class=""></o:p></p>
<!--EndFragment--></div><div class=""><div class="">As I understand it, the projected scalp map of a given IC is calculated from the inverse of its weight matrix. Then this scalp map is compared to the scalp map of the DIPFIT-derived best-fitting single equivalent dipole (ECD) of this IC. Commonly, if the RV is greater than 15%, the IC is assumed to be mostly artifactual and is excluded from analysis.</div><div class=""><br class=""></div><div class="">Is this a correct understanding? Or is it not the DIPFIT-derived ECD which is used? Is there a mathematical description for what exactly is going on? :)</div></div><div class=""><br class=""></div><div class=""><br class=""></div><div class="">Best wishes,</div><div class="">Martin</div><div class="">University of Copenhagen</div><div class=""><br class=""></div><div class=""><br class=""></div><div class=""><br class=""></div></body></html>