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김홍기,김종열,Kim, Hong-Gie,Kim, Jong-Yeol 사상체질의학회 2003 사상체질의학회지 Vol.15 No.2
Objectives : To evaluate the properness and effectiveness of the question categories concerning 'total physiognomy', used in Iksan Wonkwang Oriental Medicine. Methods: We statistically analyzed data from those 1335 patients focussing on 'relative discrimination ability' to sasang constructions and 'response ratio'. Patients included in this research are only those who had been well treated in Iksan Wonkwang Oriental Medicine during the Period of three years from 2000 to 2002. The data are obtained through the electronic chart developed by Kim Jong-Yeol, and analyzed using the statistical Package SPSS. Results: The first category for discriminating Taeum type, 'heavy and looking steady', has more discriminating power and effectiveness among women than men, and especially in wemen with an age of 21 or more. The second category for discriminating Soeum type, 'delicate and modest', is more discriminating and effective among men than women, and mostly among men with ages 21-40. The third category for Soyang type, 'fast and brave', is almost equally discriminating and effective to both women and men, especially among women with ages 40 or less and among men with ages 21 or more. Finally, the forth category for discriminating Taeyang type, 'progressive', is neither discriminating nor effective among most the women than men in all age groups. Conclusions: The definition of 'relative discriminating power of constitution' and 'response ratio' are well evaluating the properness and effectiveness of the question categories regarding 'total physiognomy'. The first category is most discriminating and effective among women with ages 20 or less, and the second among 21-40 year old men, the third among women with ages 40 or less and among men with ages 21 or over. The forth category is neither discriminating nor effective.
INFLUENCE FUNCTIONS IN MULTIPLE CORRESPONDENCE ANALYSIS
Hong Gie Kim(김홍기) 한국통계학회 1994 응용통계연구 Vol.7 No.1
Kim(1992)은 이차원 분할표의 단순 대응 분석에서의 영향 함수를 유도하였다. 주성분 분석에서와 마찬가지로 특정 행렬의 고유치가 대응 분석에서도 중요한 역할을 한다. 이차원 대응 분석 그림의 정확도는 가장 큰 두개의 고유치 합의 전체 고유치합에 대한 비율로 주어지게 된다. 고유치에 미치는 영향이 큰 행이나 열을 조사함으로써 대응 분석이 개선될 수 있다. 본 논문에서는 단순 대응 분석에서의 영향 함수를 다중 대응 분석으로 확장하였다. Kim (1992) derived influence functions of rows and columns on the eigenvalues obtained in correspondence analysis (CA) of two-way contingency tables. As in principal component analysis, the eigenvalues are of great importance in CA. The goodness of a two dimensional correspondence plot is determined by the ratio of the sum of the two largest eigenvalues to the sum of all the eigenvalues. By investigating those rows and columns with high influence, a correspondence plot may be improved. In this paper, we extend the influence functions of CA to multiple correspondence analysis (MCA), which is a CA of multi-way contingency tables. An explicit formula of the influence function is given.
이윤희,김홍기,Lee, Yun-Hee,Kim, Hong-Gie 한국통계학회 2008 Communications for statistical applications and me Vol.15 No.4
본 논문에서는 변이계수에 대한 영향함수를 유도한다. 경험적 영향함수와 표본영향함수를 이용하여 유도된 영향함수의 타당성을 입증하고 이를 위하여 정규분포 $N(20,1^2)$와 $N(20,5^2)$에서 각각 확률표본을 추출하여 시뮬레이션을 수행한다. 시뮬레이션 결과로부터, 유도된 변이계수에 대한 영향함수가 한 개의 관찰치가 제거되었을 때 변이계수의 변화량을 매우 정확히 추정하는 것을 확인하였다. We derive the influence function on the coefficient of variation. Empirical influence function and Sample influence function are used to verify the validity of the derived influence function. To show the validity of the influence function, we carry out simulations with random samples from normal distribution $N(20,1^2)$ and $N(20,5^2)$, respectively. The simulation result proves that the derived influence function is very accurate in estimating changes in the coefficient of variation when an observation is deleted.
세 집단 판별분석 상황에서의 영향함수 유도 및 그 응용
이혜정,김홍기,Lee, Hae-Jung,Kim, Hong-Gie 한국통계학회 2011 응용통계연구 Vol.24 No.5
본 논문에서는 세 집단만을 판별분석 할 경우에 계산되는 오분류확률에 영향을 미치는 이상치 판별을 목적으로 하며, 쉽게 응용 가능한 간단한 영향함수식을 제시하였다. 그리고 제시된 수식을 이용하여 안면 데이터로 세 가지 사상체질을 분류해보고 각 관찰값들의 오분류확률에 대한 영향함수를 계산하였다. 이상치를 제거하고 재 판별분석을 하는 데 있어, 오분류확률에 대한 영향함수를 이용하는 것이 효율적인 방법임을 확인하였다. The influence function is used to develop criteria to detect outliers in discriminant analysis. We derive the influence function of observations that estimate the the misclassification probability in discriminant analysis for three groups. The proposed measures are applied to the facial image data to define outliers and redo the discriminant analysis excluding the outliers. The study proves that the derived influence function is more efficient than using the discriminant probability approach.
최근 10년간(2000-2009) 사상체질의학회지 게재논문의 통계분석방법에 대한 연구
박기현,김상혁,김홍기,이시우,Park, Ki-Hyun,Kim, Sang-Hyuk,Kim, Hong-Gie,Lee, Si-Woo 사상체질의학회 2010 사상체질의학회지 Vol.22 No.4
1. Objectives The purpose of this study is to assess the statistical methods used in the Journal of Sasang Constitutional Medicine and to identify the types of errors in the statistical analysis. 2. Methods We have reviewed quantitative articles published in the Journal of Sasang Constitutional Medicine from 2000 to 2009. Except for the case report, a total of 505 articles was reviewed by year. We focused on the methods of statistics in these articles. We have analysed the number of thesis used the statistical methods, the number of the statistical methods, the types of the statistical methods, and the errors of the statistical methods with the object of 202 thesis used the statistical method. 3. Results 1. Of the 370 articles, 202 used inferential statistics. 2. The most dominant was the thesis with one type of the statistical method forming 61.9% (125 thesis) of the total. 3. The ANOVA was the statistic of choice overall (40.1%), followed by the t-test (35.6%). 4. By examining the errors of the statistical methods, there were 49 thesis with errors among 81 thesis using ANOVA, 25 thesis among 72 thesis using t-test, and 18 over 62 thesis using chi-squared test. 4. Conclusions We have found various mistakes or misuses in the applications of statistical methodologies in the articles published in the Journal of Sasang Constitutional Medicine. It is necessary to present the cases of inappropriate statistical methods in order to improve the quality of academic researches. So long as Sasang constitutional medicine uses the statistical methods, researchers should fully examine and be aware of the statistical methods which they wish to use through other research articles, and statistic publications.
Two-Stage Decision Tree Analysis for Diagnosis of Personal Sasang Constitution Medicine Type
진희정,이혜정,김명건,김홍기,김종열,Jin, Hee-Jeong,Lee, Hae-Jung,Kim, Myoung-Geun,Kim, Hong-Gie,Kim, Jong-Yeol The Society Of Sasang Constitutional Medicine 2010 사상체질의학회지 Vol.22 No.3
1. Objectives: In SCM, a personal Sasang constitution must be determined accurately before any Sasang treatment. The purpose of this study is to develop an objective method for classification of Sasang constitution. 2. Methods: We collected samples from 5 centers where SCM is practiced, and applied two-stage decision tree analysis on these samples. We recruited samples from 5 centers. The collected data were from subjects whose response to herbal medicine was confirmed according to Sasang constitution. 3. Results: The two-stage decision tree model shows higher classification power than a simple decision tree model. This study also suggests that gender must be considered in the first stage to improve the accuracy of classification. 4. Conclusions: We identified important factors for classifying Sasang constitutions through two-stage decision tree analysis. The two-stage decision tree model shows higher classification power than a simple decision tree model.