2007, Piran, Slovenia

Hip(
width)
−Waist
( width )
HW −WW
1 =
× 100%
=
× 100%
Waist ( height )
WH
E (1)
Hip(
depth)
−Waist
( depth)
HT −WT
1 =
× 100%
= × 100%
Waist ( height )
WH
S (2)
Waist ( height ) −Hip(
height)
WHH
=
× 100%
= × 100%
Waist ( height ) −Thigh(
height )
WTH
HH (3)
Modelling
The original data were tested for normality of distribution using Q-Q Probability Plot. Then a
K-Means cluster analysis was selected and run on SPSS in order to group participants
according to similarities of the six factors. Eight separate cluster analyses were run,
generating participant cluster membership when given from two to nine grouping categories.
Each K-Means cluster result was evaluated to determine the ideal number of grouping
categories based on ANOVA results. The Euclidean Distance EUCLID = ∑ ( x − y )
2 is an
important formula in K-Means cluster. Finally, a Fisher discriminant approach, which is one
type of statistical mode to distinguish ability, was selected. It is a traditional linear approach,
which is extensively applied in mode categorization and feature extraction.
RESULTS
Only Q-Q Probability Plots for waist girth are presented (see Fig. 1). As seen in Fig. 1, the
distribution of waist girth is basically normal. Normality of distribution was observed for all
parameters measured.
Based on cluster results, we found that the observed significance level of at least one variable
in cluster membership from 2 to 6 is more than 0.05. There was no distinct difference. But the
observed significance levels of cluster membership 7 were all less than 0.05. There are
relatively significant differences. The result of cluster membership 7 is best in all cluster
results.
Based on Fisher analysis results, there are seven clusters in the lower body. So there are seven
linear discriminant functions. F1, F2, F3, F4, F5, F6, F7 represent respectively the seven
kinds in cluster analysis. When a given body needs to be assigned to a group, the body shape
factors of this body are entered in each Fisher discriminant function. On the basis of the seven
function values, the body is then assigned to a group, if the value of the group is the largest in
all function values.
k
i=
1
i
i
487