A Study on the Relationship between Skill and Competition Score Factors of KLPGA Players Using Canonical Correlation Biplot and Cluster Analysis

Title & Authors
A Study on the Relationship between Skill and Competition Score Factors of KLPGA Players Using Canonical Correlation Biplot and Cluster Analysis
Choi, Tae-Hoon; Choi, Yong-Seok;

Abstract
Canonical correlation biplot is 2-dimensional plot for investigating the relationship between two sets of variables and the relationship between observations and variables in canonical correlation analysis graphically. In general, biplot is useful for giving a graphical description of the data. However, this general biplot and also canonical correlation biplot do not give some concise interpretations between variables and observations when the number of observations are large. Recently, for overcoming this problem, Choi and Kim (2008) suggested a method to interpret the biplot analysis by applying the K-means clustering analysis. Therefore, in this study, we will apply their method for investigating the relationship between skill and competition score factors of KLPGA players using canonical correlation biplot and cluster analysis.
Keywords
Canonical correlation analysis;biplot;KLPGA;K-means cluster analysis;
Language
Korean
Cited by
1.
테니스 그랜드슬램대회의 선수특성요인과 경기요인에 대한 분석연구 -정준상관 행렬도와 프로크러스티즈 분석의 응용-,최태훈;최용석;신상민;

응용통계연구, 2009. vol.22. 4, pp.855-864
2.
일반화 정준상관 행렬도와 프로크러스티즈 분석을 응용한 대한테니스협회 등록 선수의 체격요인, 체력요인 및 기초기술요인에 대한 분석연구,최태훈;최용석;

Communications for Statistical Applications and Methods, 2010. vol.17. 6, pp.917-925
3.
결측값이 있는 정준상관 행렬도의 형상변동 연구,홍현욱;최용석;신상민;강창완;

응용통계연구, 2010. vol.23. 5, pp.955-966
4.
편정준상관 행렬도,염아림;최용석;

응용통계연구, 2011. vol.24. 3, pp.559-566
5.
Semi-Partial Canonical Correlation Biplot,;;;

응용통계연구, 2012. vol.25. 3, pp.521-529
1.
A Study on the Relationship between Physique, Physical Fitness and Basic Skill Factors of Tennis Players in the Korea Tennis Association Using the Generalized Canonical Correlation Biplot and Procrustes Analysis, Communications for Statistical Applications and Methods, 2010, 17, 6, 917
2.
Partial Canonical Correlation Biplot, Korean Journal of Applied Statistics, 2011, 24, 3, 559
3.
Semi-Partial Canonical Correlation Biplot, Korean Journal of Applied Statistics, 2012, 25, 3, 521
References
1.
서은영, 박태섭 (2003) . 여자프로골프선수의 경기력에 미치는 결정요인분석, <한국기록분석 학회지>, 1, 27-38

2.
최용석 (2006). <행렬도 분석>, 기초과학 총서 2권, 부산대학교 기초과학연구원.

3.
최용석, 현기홍, 정수미 (2005a). 다변량 분산분석에서 추정된 모수행렬의 행렬도, Journal of the Korean Data Analysis Society, 7, 851-858

4.
최용석, 현기홍, 정수미 (2005b). MANCOVA Biplot, <한국통계학논문집 >, 12, 705-712

5.
최용석, 강창완, 김경덕 (2005c) . 명목형 다항반응 로지스틱회귀모형의 행렬도 분석, Journal of the Korean Data Analysis Society, 7, 839-849

6.
최태훈 (2006). KLPGA 선수의 기술요인과 랭킹간의 관계,<얀동과학대학 논문집>,28, 431-439

7.
허명회 (1993). <통계상담의 이해>, 자유아카데미, 서울

8.
APGA (1996). Offcial Media Guide of the PGA TOUR, American Professional Golf Association

9.
Choi, Y. S. (1991). Resistant Principal Component Analysis, Biplot and Correspondence Analysis, Unpublished Ph.D. Dissertation, Department of Statistics, Korea University.

10.
Choi, Y. S., Hyun, G. H. and Kim, J. G. (2005a). A numerical comparison of map variability in SCA using the procrustes analysis, Journal of the Korean Data Analysis Society, 7, 1531-1538

11.
Choi, Y. S., Hyun, G. H. and Yun, W. J. (2005b). Biplots' variability based on the procrustes analysis, Journal of the Korean Data Analysis Society, 7, 1925-1933

12.
Choi, Y. S. and Kim, H. Y. (2008). Applications of cluster analysis in biplots, Communications of the Korean Statistical Society, 15, 65-76.

13.
Gabriel, K. R. (1971). The biplot graphics display of matrices with applications to principal component analysis, Biometrika, 58, 453-467.

14.
Hotelling, H. (1935). The most predictable criterion, Journal of Educational Psychology, 26, 139-142.

15.
Park, M. (1995). Quantification Plots for Canonical Correlation Analysis, Unpublished Ph.D. Dissertation, Department of Statistics, Korea University.

16.
Park, M. and Huh, M. H. (1996a). Canonical correlation biplot, The Korea Communications in Statistics, 3, 11-19

17.
Park, M. and Huh, M. H. (1996b). Quantification plots for several sets of variables, Journal of the Korea Statistical Society, 25, 589-601.

18.
Sharma, S. (1996). Applied Multivariate Techniques, Wiley, New York