From 2e3932e00540140f0061f02068947f0ddd0b745d Mon Sep 17 00:00:00 2001
From: Petr Baudis <pasky@ucw.cz>
Date: Wed, 10 Mar 2010 13:00:40 +0100
Subject: [PATCH] tex: Text for style PCA

---
 tex/gostyle.tex | 23 +++++++++++++++++++++--
 1 file changed, 21 insertions(+), 2 deletions(-)

diff --git a/tex/gostyle.tex b/tex/gostyle.tex
index abeebb0..dace37b 100644
--- a/tex/gostyle.tex
+++ b/tex/gostyle.tex
@@ -800,7 +800,7 @@ players.
 Mean standard deviation of the answers is 0.952,
 making the data reasonably reliable,
 though much larger sample would of course be more desirable.
-The complete list of answers is in Table \ref{fig:style_marks}.
+The complete list of answers is in table \ref{fig:style_marks}.
 
 \begin{table}[!t]
 % increase table row spacing, adjust to taste
@@ -857,7 +857,26 @@ Chen Yaoye           & $6.0 \pm 1.0$ & $4.0 \pm 1.0$ & $6.0 \pm 1.0$ & $5.5 \pm
 \label{fig:style_pca}
 \end{figure}
 
-PCA analysis yielded X (see Fig. \ref{fig:style_pca}), chi-square test...
+We have looked at the three most significant dimensions of the pattern data
+yielded by the PCA analysis (fig. \ref{fig:style_pca}). We have again
+performend $\Chi^2$--test between the three most significant PCA dimensions
+and dimensions of the prior knowledge style vectors to find correlations;
+the found correlations are presented in table \ref{fig:style_chisq}.
+We also list the characteristic spatial patterns of the PCA dimension
+extremes (table \ref{fig:style_patterns}).
+
+It is immediately
+obvious that by far the most significant vector corresponds very well
+to the player territoriality,\footnote{Cho Chikun, perhaps the best-known
+super-territorial player, is not well visible in the cluster, but he is
+positioned just below $-0.5$ on the first dimension.}
+confirming the intuitive notion that this aspect of style
+is the one easiest to pin-point and also
+most obvious in the played shapes and sequences
+(that can obviously aim directly at taking secure territory
+or building center-oriented framework).
+
+The other PCA dimensions are far less obvious --- TODO.
 
 Kohonen map view.
 
-- 
2.11.4.GIT