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<pre>Dear Yaroslav,
thank you for your reply.
I might be wrong in the specific case of MVPA, but I think the 1-dimension Goodness-of-fit test is appropriate in case
you have something like one dice and you are expecting each of the 6 sides to occur with equal frequencies.
The N x N confusion matrix rather reflects the case in which you can a variable with N classes (targets) and you
measure how frequent these classes distribute across the levels of a different variable (predictions). In such a case,
a 2-dimension Pearson's test seems more appropriate.
Best,
Marco
On Thu, 11 May 2017, marco tettamanti wrote:
><i> Dear all,
</i>><i> I apologize if this has been asked before, or else is too trivial.
</i>
><i> I have been trying to understand how the the pymvpa2 toolbox calculates
</i>><i> the chi-square test of a confusion matrix.
</i>
><i> In a cross-validation (e.g., cvte.ca.stats), it seems that by default this
</i>><i> is done by means of a one-dimensional Goodness-of-fit chi-square test with
</i>><i> expected uniform frequency distribution.
</i>
><i> I was wondering whether the bi-dimensional Pearson's chi square wouldn't
</i>><i> be more appropriate, as it seems to me that this would more closely
</i>><i> reflect the "predictions vs targets N x N" matrix structure.
</i>
Hi Marco,
might as well be -- I would need to read on/check... IIRC we were just
following instructions on chi-square test to be done on contingency
tables.
--
Yaroslav O. Halchenko
Center for Open Neuroscience <a href="http://centerforopenneuroscience.org">http://centerforopenneuroscience.org</a>
Dartmouth College, 419 Moore Hall, Hinman Box 6207, Hanover, NH 03755
Phone: +1 (603) 646-9834 Fax: +1 (603) 646-1419
WWW: <a href="http://www.linkedin.com/in/yarik">http://www.linkedin.com/in/yarik</a>
</pre>
<br>
<pre class="moz-signature" cols="80">--
Marco Tettamanti, Ph.D.
Nuclear Medicine Department & Division of Neuroscience
IRCCS San Raffaele Scientific Institute
Via Olgettina 58
I-20132 Milano, Italy
Phone ++39-02-26434888
Fax ++39-02-26434892
Email: <a class="moz-txt-link-abbreviated" href="mailto:tettamanti.marco@hsr.it">tettamanti.marco@hsr.it</a>
Skype: mtettamanti</pre>
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