<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">Hey Margriet,</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><br></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">given your design, and if you don't plan on doing >>all<< the pairwise comparisons</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">anyway, then you could do an ANOVA. One way to make your analysis robust to non-normality</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">is:</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><br></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">1) compute F for your data</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">2) center your data independently for each of your 6 conditions, i.e. if your measure of</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">central tendency is the mean then subtract the mean of one condition from each member of</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">that condition, so that the new mean is zero</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">3) you just created a new dataset in which the null hypothesis is true. Now you can</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">sample with replacement subjects (paired design) or trials (unpaired design), compute the</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">F, and store it.</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">4) repeat 3) x times, for instance 1000 times. You will obtain a data driven distribution</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">of F under the null hypothesis.</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">5) compare the one-tail, let say 95% confidence interval of the F under the null</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">hypothesis to the original F obtained for non-centered data. If the original F is larger</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">than the 95% F, then your effect is significant.</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><br></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">This bootstrap procedure + it's validation is described here:</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">BOOTSTRAP RESAMPLING APPROACHES FOR</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">REPEATED MEASURE DESIGNS: RELATIVE ROBUSTNESS</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">TO SPHERICITY AND NORMALITY VIOLATIONS</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">BERKOVITS et al. 2000</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">Educational and Psychological Measurement, Vol. 60 No. 6, December 2000 877-892</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><br></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">More advanced coverage of robust analysis of variance can be found here:</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">Wilcox, R. R. (2005). Introduction to Robust Estimation and Hypothesis Testing (2nd Ed.</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">ed.): Academic Press.</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><br></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">hope this help,</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><br></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; ">GAR</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; "><br class="webkit-block-placeholder"></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; "><br class="webkit-block-placeholder"></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; "><br class="webkit-block-placeholder"></div><div><div>On 19 Mar 2008, at 13:44, Margriet Groen wrote:</div><br class="Apple-interchange-newline"><blockquote type="cite">Hi,<br><br>please excuse my ignorance, but is it possible to use permutation tests with a mixed (3 conditions x 2 groups) design?<br><br>Thanks,<br>Margriet<br><br>-- <br>=================================<br>Dr. Margriet A. Groen<br>Post-doctoral researcher<br>University of Hamburg<br>Biological Psychology and Neuropsychology<br>Von-Melle-Park 11<br>20146 Hamburg<br>Germany<br><br>Phone: +49-40-42838-5838<br>Fax: +49-40-42838-6591<br>Email: <a href="mailto:margriet.groen@uni-hamburg.de">margriet.groen@uni-hamburg.de</a><br>Website: <a href="http://bpn.uni-hamburg.de/groen_e.html">http://bpn.uni-hamburg.de/groen_e.html</a><br>=================================<br><br>----------------------------------<br>The aim of this list is to facilitate the discussion between users of the FieldTrip toolbox, to share experiences and to discuss new ideas for MEG and EEG analysis. See also <a href="http://listserv.surfnet.nl/archives/fieldtrip.html">http://listserv.surfnet.nl/archives/fieldtrip.html</a> and <a href="http://www.ru.nl/fcdonders/fieldtrip">http://www.ru.nl/fcdonders/fieldtrip</a>.<br></blockquote></div><br><div apple-content-edited="true"> <span class="Apple-style-span" style="border-collapse: separate; border-spacing: 0px 0px; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; text-align: auto; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; "><div style="word-wrap: break-word; -khtml-nbsp-mode: space; -khtml-line-break: after-white-space; "><span class="Apple-style-span" style="border-collapse: separate; border-spacing: 0px 0px; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; text-align: auto; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; "><span class="Apple-style-span" style="border-collapse: separate; border-spacing: 0px 0px; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; text-align: auto; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; "><span class="Apple-style-span" style="border-collapse: separate; border-spacing: 0px 0px; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; text-align: auto; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; "><br class="Apple-interchange-newline"><span class="Apple-style-span" style="border-collapse: separate; border-spacing: 0px 0px; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 12px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; text-align: auto; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; "><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><br class="khtml-block-placeholder"></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><br class="khtml-block-placeholder"></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><br class="khtml-block-placeholder"></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">************************************************************************************</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><b style="font-weight: bold; "><span class="Apple-style-span" style="font-weight: bold; "><span class="Apple-style-span" style="font-weight: bold; "><span class="Apple-style-span" style="font-weight: bold; "><span class="Apple-style-span" style="font-weight: bold; "><span class="Apple-style-span" style="font-weight: bold; ">Guillaume A. Rousselet, Ph.D.</span></span></span></span></span></b></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><b style="font-weight: bold; "><br class="khtml-block-placeholder"></b></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">Lecturer</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">Department of Psychology</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">University of Glasgow</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">58 Hillhead Street</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">Glasgow, UK</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">G12 8QB</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><br class="khtml-block-placeholder"></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><a href="http://web.mac.com/rousseg/iWeb/">http://web.mac.com/rousseg/iWeb/</a></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><br class="khtml-block-placeholder"></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">Email: </span></span></span></span></span></span></font><a href="mailto:g.rousselet@psy.gla.ac.uk">g.rousselet@psy.gla.ac.uk</a></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">Fax. +44 (0)141 330 4606</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">Tel. </span></span></span></span></span></span></font><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">+44 (0)141 330 6652</span></span></span></span></span></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">Cell +44 (0)</span></span></span></font>791 779 7833</div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><br class="khtml-block-placeholder"></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><br class="khtml-block-placeholder"></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><font class="Apple-style-span" color="#000000"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; ">“Computers in the future may weigh no more than 1.5 tons.”</span></span></span></span></span></font></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><span class="Apple-tab-span" style="white-space:pre"><span class="Apple-style-span" style="white-space: pre; "><span class="Apple-style-span" style="white-space: pre; "><span class="Apple-style-span" style="white-space: pre; "><span class="Apple-style-span" style="white-space: pre; "><span class="Apple-style-span" style="white-space: pre; "> </span></span></span></span></span></span><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><font class="Apple-style-span" color="#000000"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "></span></span></span></font></span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-family: Arial; "><font class="Apple-style-span" color="#000000"><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; "><span class="Apple-tab-span" style="white-space:pre; font-family: Arial; "><span class="Apple-style-span" style="font-family: Arial; white-space: pre; "> </span></span><span class="Apple-style-span" style="font-family: Arial; ">Popular Mechanics, 1949</span></span></span></span></span></font></span></font></div><div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">************************************************************************************</div></div><br class="Apple-interchange-newline"></span></span></span></span></div></span> </div><br></body></html><p>----------------------------------</p>
<p>The aim of this list is to facilitate the discussion between users of the FieldTrip toolbox, to share experiences and to discuss new ideas for MEG and EEG analysis.</p>
<p> http://listserv.surfnet.nl/archives/fieldtrip.html</p>
<p> http://www.ru.nl/fcdonders/fieldtrip/</p>