• 응용통계연구
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• 제26권6호
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• pp.977-985
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• 2013

현실세계에는 두 가지 범주 이상으로 분류되는 경우가 많이 존재한다. 본 논문은 분류범주가 세 종류인 분류모형을 시각적으로 표현하는 방법인 ROC 곡면과 이 곡면 아래의 체적을 나타내는 VUS 통계량을 고려한다. 바젤 II에 기반한 부도확률에 관한 AUC 통계량의 판단기준을 ROC 곡면에서의 VUS에 대하여 확장하여, VUS에 의한 판별력 판단기준 13단계를 제안한다. 제안한 판단기준 각 단계에서의 VUS값에 대응하는 AUC, K-S 통계량 그리고 세 분포의 평균차이에 대한 범위를 탐색하고, 이들의 관계를 살펴봄으로써 VUS 통계량의 판별력 판단기준을 설정한다.

• Communications for Statistical Applications and Methods
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• 제22권3호
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• pp.223-232
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• 2015

The area under the ROC curve (AUC), the volume under the ROC surface (VUS) and the hypervolume under the ROC manifold (HUM) are defined and interpreted with probability that measures the discriminant power of classification models. AUC, VUS and HUM are expressed with the summation and integration notations for discrete and continuous random variables, respectively. AUC for discrete two random samples is represented as the nonparametric Mann-Whitney statistic. In this work, we define conditional Mann-Whitney statistics to compare more than two discrete random samples as well as propose that VUS and HUM are represented as functions of the conditional Mann-Whitney statistics. Three and four discrete random samples with some tie values are generated. Values of VUS and HUM are obtained using the proposed statistic. The values of VUS and HUM are identical with those obtained by definition; therefore, both VUS and HUM could be represented with conditional Mann-Whitney statistics proposed in this paper.

• 응용통계연구
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• 제32권4호
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• pp.593-605
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• 2019

ROC 곡선 아래 면적과 ROC 곡면 아래 부피를 이용하여 분류모형의 판별력을 측정하는 통계량인 AUC와 VUS에 관한 많은 연구가 있다. ROC 곡선을 구성하는 FPR과 TPR 모두에 제한을 두는 양방향 부분 AUC는 부분 AUC보다 더 효과적이고 정확하게 제안되었다. ROC 곡면에서도 부분 VUS 뿐만 아니라 세 방향 부분 VUS 통계량이 개발되었다. 본 연구에서는 ROC 곡선의 FPR과 TPR 모두에 제한된 두 개의 절단함수를 이용하여 확률 개념과 적분 표현으로 대안적인 AUC를 제안한다. 또한 이 AUC는 양방향 부분 AUC와 관계가 있음을 알 수 있다. ROC 곡면에서의 세 방향 부분 VUS도 절단함수를 이용하는 VUS와 관련되어 있음을 발견하였다. 그리고 이러한 대안적인 AUC와 VUS는 맨-휘트니 통계량으로 표현되고 추정된다. 정규분포와 확률표본을 기반으로 이들의 모수적인 추정 방법과 비모수적인 추정 방법을 탐색한다.

• Communications for Statistical Applications and Methods
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• 제22권4호
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• pp.377-387
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• 2015

The area under the ROC curve can be represented by both Mann-Whitney and Wilcoxon rank sum statistics. Consider an ROC surface and manifold equal to three dimensions or more. This paper finds that the volume under the ROC surface (VUS) and the hypervolume under the ROC manifold (HUM) could be derived as functions of both conditional Mann-Whitney statistics and conditional Wilcoxon rank sum statistics. The nullhypothesis equal to three distribution functions or more are identical can be tested using VUS and HUM statistics based on the asymptotic large sample theory of Wilcoxon rank sum statistics. Illustrative examples with three and four random samples show that two approaches give the same VUS and $HUM^4$. The equivalence of several distribution functions is also tested with VUS and $HUM^4$ in terms of conditional Wilcoxon rank sum statistics.

• PNF and Movement
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• 제17권1호
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• pp.81-92
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• 2019

Purpose: This study was an investigation of the effect of unstable supporting exercise in young adults with functional ankle instability. The study tested the use of a jumper and virtual reality (VR) training via a VR-head mounted display (HMD) system to provide functional improvement in proprioception, range of motion (ROM), ankle muscle strength, agility, and balance. Methods: The subjects comprised 61 young adults (in their twenties) with functional ankle instability to decide as less than 24 points using Cumberland ankle instability tool. The subjects were divided into three groups: VUS (VR-HMD and unstable supporting exercise, n = 20), VSS (VR-HMD and stable supporting exercise, n = 19), and NUS (non-VR-HMD and unstable supporting exercise, n = 22). The exercise program was conducted three times per week for three weeks. VR training via a VR-HMD system and a VR application on a smart mobile device were used with the VUS and VSS groups, and unstable supporting exercise was used in the VUS and NUS groups for 30 minutes. Proprioception, ROM, ankle muscle strength, agility, and balance were measured before and after training. Results: The VUS group showed significant differences in most results, including proprioception, ROM, ankle muscle strength, agility, and balance to compare before and after, and the VSS and NUS groups partially. Moreover, the VUS group had significant differences in most results when compared with the other groups. Conclusion: Unstable supporting exercise and VR training via a VR-HMD system improved functional ankle instability in terms of proprioception, ROM, ankle muscle strength, agility, and balance.

• Journal of the Korean Data and Information Science Society
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• 제26권6호
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• pp.1305-1315
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• 2015

ROC 곡선을 구성하는 한 개의 스코어 변수로 이루어진 분류모형을 확장하여 선형 스코어의 함수인 리스크 스코어를 고려하고, 선형 스코어의 계수를 추정하기 위한 방법으로 AUC를 최대화하는 방법을 사용한다. 이런 AUC 접근방법으로 구한 스코어의 계수 추정량은 로지스틱모형을 이용한 선형 스코어의 모수의 최대가능도 추정량보다 자료가 로지스틱 가정이 맞지 않는 일반적인 상황에서도 좋은 추정 결과를 보인다. 본 연구에서는 다항범주로 분류되어 현실적인 판별 및 예측 상황을 고려하여 AUC 접근방법을 확장한 VUS와 HUM 접근방법을 제안한다. 연결함수로는 로짓, complementary log-log와 로짓을 변형한 함수의 세 종류와 그리고 다양한 분류점의 분포인 경우에 대하여도 모의실험을 실시하였다. 본 논문에서는 다항범주 판별결과에 대하여 VUS와 HUM 접근방법도 AUC 접근방법과 유사하게 다양한 연결함수에 대하여 로지스틱모형 추정방법보다 동등하거나 더 나은 모수추정 결과를 보이는 것을 확인하였다.

• Journal of Genetic Medicine
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• 제17권1호
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• pp.51-54
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• 2020

Since the American College of Medical Genetics and Genomics and Association of Molecular Pathology published their guidelines in 2015, most interpretations of genetic tests have followed them. However, all variants have only limited evidence along 28 interpretation standards, especially de novo variants. When de novo variants, which are classified as variants of uncertain significance (VUS) due to lack of evidence, are detected, segregation in the affected family could provide an important key to clarifying the variants. Autosomal dominant polycystic kidney disease is the most common inherited kidney disorder with pathogenic variants in the PKD1 or PKD2 genes. We detected a novel in-frame deletion variant in the PKD1 gene, c.7575_7577del (p.(Cys2526del)), which was interpreted as a VUS. We analyzed this variant in a Korean family to decide for segregation. Here, we report the variant as a likely pathogenic variant based on the evidence of segregation in three affected relatives and two unaffected members.

• Journal of the Korean Data and Information Science Society
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• 제25권3호
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• pp.473-483
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• 2014

ROC 곡선과 ROC 곡면을 확장한 4차원 이상의 공간에서의 ROC 다면체는 시각적인 표현이 어렵기 때문에 활용하기 어려우나, ROC 다면체 아래 공간을 측정하는 HUM 통계량에 대하여는 AUC와 VUS 통계량을 기반으로 정의가 가능하고 값을 구할 수 있으므로 본 연구는 네 가지 범주의 분류모형의 판별력을 측정하는 확률을 정의하고 연구한다. 그리고 Basel II를 기반한 부도확률에 대한 AUC의 판별력 판단기준을 제안한 연구를 확장하여, 네 범주 분류모형의 판별력을 측정하는 HUM 통계량에 관한 판단기준을 13단계로 구분하여 제안하고 활용하는 방법을 설명한다. 다양한 분포함수에 대하여 얻은 HUM 값을 바탕으로 제안한 판단기준을 탐색하기 위하여 삼원구획그림을 활용하여 판단기준을 설명한다.

• Journal of Genetic Medicine
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• 제18권1호
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• pp.38-43
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• 2021

Purpose: Demand for genetic counseling on cancer predisposition syndrome is increasing. We evaluated the psychological effect on counselees after genetic counseling at a clinic in a single center. Materials and Methods: We surveyed a total of 72 enrolled participants who visited a genetic counseling clinic at the Samsung Medical Center (SMC). The initial survey was conducted before the first genetic counseling session, and the second survey was conducted after the second genetic counseling session. A total of 43 participants completed both the initial and second surveys. Results: The initial survey of 72 participants indicated higher feelings of guilt in the group with religion, higher depression and anxiety in the group with a diagnosis of self, and higher anxiety in the group on self-referral to the genetic counseling clinic. In the completed survey of 43 participants, overall decreased depression was observed after the second genetic counseling session (P=0.013). Risk perception and anxiety decreased in the group diagnosed with benign variant/variant of uncertain significance (BV/VUS, 25/3) and increased in the group diagnosed with pathogenic variant (PV, 15). Risk perception and anxiety differed between the BV/VUS and PV groups (P<0.001 and P=0.03, respectively). Conclusion: The genetic counseling clinic at the SMC was effective in ameliorating the depression score. Assessment of survey results revealed different depression scores, feelings of guilt and anxiety, and different effects of the genetic counseling clinic, depending on the subgroups. Understanding the needs and psychological characteristics of different groups is necessary for improving genetic counseling services.

• Journal of the Korean Data and Information Science Society
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• 제28권5호
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• pp.1179-1189
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• 2017

In this study, we propose an alternative method for discriminant analysis using a multivariate empirical distribution function to express multivariate data as a simple one-dimensional statistic. This method turns to be the estimation process of the optimal threshold based on classification accuracy measures and an empirical distribution function of data composed of classes. This can also be visually represented on a two-dimensional plane and discussed with some measures in ROC curves, surfaces, and manifolds. In order to explore the usefulness of this method for discriminant analysis in the study, we conducted comparisons between the proposed method and the existing methods through simulations and illustrative examples. It is found that the proposed method may have better performances for some cases.