Classification and discrimination of excel radial charts using the statistical shape analysis

被引:0
作者
Lee, Seungeon [1 ]
Kim, Jun Hong [1 ]
Choi, Yeonseok [1 ]
Choi, Yong-Seok [1 ,2 ]
机构
[1] Pusan Natl Univ, Dept Stat, Busan, South Korea
[2] Pusan Natl Univ, Dept Stat, 2 Busandaehak Ro,63 Beon Gil, Busan 46241, South Korea
关键词
shape analysis; radial chart; GPA; bookstein coordinates;
D O I
10.5351/KJAS.2024.37.1.073
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A radial chart of Excel is very useful graphical method in delivering information for numerical data. However, it is not easy to discriminate or classify many individuals. In this case, after shaping each individual of a radial chart, we need to apply shape analysis. For a radial chart, since landmarks for shaping are formed as many as the number of variables representing the characteristics of the object, we consider a shape that connects them to a line. If the shape becomes complicated due to the large number of variables, it is difficult to easily grasp even if visualized using a radial chart. Principal component analysis (PCA) is performed on variables to create a visually effective shape. The classification table and classification rate are checked by applying the techniques of traditional discriminant analysis, support vector machine (SVM), and artificial neural network (ANN), before and after principal component analysis. In addition, the difference in discrimination between the two coordinates of generalized procrustes analysis (GPA) coordinates and Bookstein coordinates is compared. Bookstein coordinates are obtained by converting the position, rotation, and scale of the shape around the base landmarks, and show higher rate than GPA coordinates for the classification rate.
引用
收藏
页码:73 / 86
页数:14
相关论文
共 8 条
[1]  
Choi YS, 2018, Multivariate Data Analysis with R
[2]  
Choi YS, 2021, Multivariate Statistical Shape Analysis with R
[3]  
Dryden I. L., 2016, STAT SHAPE ANAL APPL
[4]  
Eberhart R.C., 2014, Neural network PC tools: a practical guide
[5]  
Izenman A.J., 2008, Modern Multivariate Statistical Techniques
[6]   BOOTSTRAP TECHNIQUES FOR ERROR ESTIMATION [J].
JAIN, AK ;
DUBES, RC ;
CHEN, CC .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1987, 9 (05) :628-633
[7]   DIFFUSION OF SHAPE [J].
KENDALL, DG .
ADVANCES IN APPLIED PROBABILITY, 1977, 9 (03) :428-430
[8]  
Raschka S., 2018, PREPRINT