• 기술사
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• 제20권3호
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• pp.15-25
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• 1987

Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the X-chart, X-chart, X-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart X-chart, which is the most widely used one in Korea, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for tile more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the X-chart, the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the X-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based on a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $X^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the propose4 median chart and the X chart was also performed with these examples and the median chart turned out to be superior to the X-chart.

• 대한치과교정학회지
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• 제47권2호
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• pp.108-117
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• 2017

Objective: To investigate the effects of frontal facial type (FFT) and sex on preferred chin projection (CP) in three-dimensional (3D) facial images. Methods: Six 3D facial images were acquired using a 3D facial scanner (euryprosopic [Eury-FFT], mesoprosopic [Meso-FFT], and leptoprosopic [Lepto-FFT] for each sex). After normal CP in each 3D facial image was set to $10^{\circ}$ of the facial profile angle (glabella-subnasale-pogonion), CPs were morphed by gradations of $2^{\circ}$ from normal (moderately protrusive [$6^{\circ}$], slightly protrusive [$8^{\circ}$], slightly retrusive [$12^{\circ}$], and moderately retrusive [$14^{\circ}$]). Seventy-five dental students (48 men and 27 women) were asked to rate the CPs ($6^{\circ}$, $8^{\circ}$, $10^{\circ}$, $12^{\circ}$, and $14^{\circ}$) from the most to least preferred in each 3D image. Statistical analyses included the Kolmogorov-Smirnov test, Kruskal-Wallis test, and Bonferroni correction. Results: No significant difference was observed in the distribution of preferred CP in the same FFT between male and female evaluators. In Meso-FFT, the normal CP was the most preferred without any sex difference. However, in Eury-FFT, the slightly protrusive CP was favored in male 3D images, but the normal CP was preferred in female 3D images. In Lepto-FFT, the normal CP was favored in male 3D images, whereas the slightly retrusive CP was favored in female 3D images. The mean preferred CP angle differed significantly according to FFT (Eury-FFT: male, $8.7^{\circ}$, female, $9.9^{\circ}$; Meso-FFT: male, $9.8^{\circ}$, female, $10.7^{\circ}$; Lepto-FFT: male, $10.8^{\circ}$, female, $11.4^{\circ}$; p < 0.001). Conclusions: Our findings might serve as guidelines for setting the preferred CP according to FFT and sex.

• Clinical and Experimental Pediatrics
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• 제60권11호
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• pp.373-378
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• 2017

Purpose: The aim of this study was to investigate the statistical properties of four previously developed pediatric coronary artery z score models in healthy Korean children. Methods: The study subjects were 181 healthy Korean children, whose age ranged from 1 month to 15 years. The diameter of each coronary artery was measured using 2-dimensional echocardiography and converted to the z score in the four models (McCrindle, Olivieri, Dallaire, and Japanese model). Descriptive statistical analyses and 1-sample t tests were performed. Results: All calculated z scores had P values of ${\geq}0.050$ using the Kolmogorov-Smirnov test. The one sample t test showed that the mean z scores did not converge to zero except in 1 model, and the mean right coronary artery (RCA) z score was less than zero in all 4 models. The smaller RCA diameter in this study could be associated with the more distal measuring point used to avoid the conal branch. The percentage of subjects with extreme z score values (${\geq}2.0$ and ${\geq}2.5$) for the left main coronary artery (LMCA) seems to be higher in the Dallaire (4.9% and 3.3%) and Japanese models (7.1% and 3.8%). Conclusion: All 4 models showed statistical feasibility of normal distribution. More precise instructions would be needed for the measurement of the RCA. The higher percentage of extreme z scores for the LMCA is compatible with the basic understanding of anatomic variation in the LMCA.

• 산업경영시스템학회지
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• 제10권16호
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• pp.101-106
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• 1987

Statistical control charts are useful tools to monitor and control the manufacturing processes and are widely used in most Korean industries. Many Korean companies, however, do not always obtain desired results from the traditional control charts by Shewhart such as the $\bar{X}$-chart, $\bar{X}$-chart, $\bar{X}$-chart, etc. This is partly because the quality charterstics of the process are not distributed normally but are skewed due to the intermittent production, small lot size, etc. In Shewhart $\bar{X}$-chart. which is the most widely used one in Kora, such skewed distributions make the plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such shortcomings in nonnormally distributed processes, a distribution-free type of confidence interval can be used, which should be based on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for nonnormal distributions may be easily analyzed. Control limits and central lines are given for the more famous nonnormal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, Truncated-normal distributions. Robustness of the proposed median control chart is compared with that of the $\bar{X}$-chart; the former tends to be superior to the latter as the probability distribution of the process becomes more skewed. The average run length to detect the assignable cause is also compared when the process has a Normal or a Gamma distribution for which the properties of X are easy to verify, the proposed chart is slightly worse than the $\bar{X}$-chart for the normally distributed product but much better for Gamma-distributed products. Average Run Lengths of the other distributions are also computed. To use the proposed control chart, the probability distribution of the process should be known or estimated. If it is not possible, the results of comparison of the robustness force us to use the proposed median control chart based oh a normal distribution. To estimate the distribution of the process, Sturge's formula is used to graph the histogram and the method of probability plotting, $\chi$$^2$-goodness of fit test and Kolmogorov-Smirnov test, are discussed with real case examples. A comparison of the proposed median chart and the $\bar{X}$ chart was also performed with these examples and the median chart turned out to be superior to the $\bar{X}$-chart.

• 정보처리학회논문지:소프트웨어 및 데이터공학
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• 제12권6호
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• pp.259-266
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• 2023

기계학습을 통해 학습된 모델은 업무 활용 시 그 성능을 실측하기 매우 어렵다. 때문에 운영 부서에서는 모델의 성능을 효과적으로 관리하지 못한다. 이로 인해 모델의 상태를 판단하기 위한 Concept drift 탐지 방법이 다양하게 연구되고 있다. 운영 부서에서는 운영 중인 모델의 성능을 정량적으로 관리하려고 한다. 그러나 Concept drift는 모델 상태를 데이터 관계적으로 판단 할 뿐, 모델의 정량적 성능 수치를 추정하지는 못한다. 본 연구에서는 Concept drift의 통계량을 통해 정량적으로 precision 값을 추정하는 성능 예측 모델(PPM, Performance prediction model)을 제안한다. 제안 모델의 Algorithm 1에서는, 학습데이터에서 복원 추출한 샘플링 데이터에 인위적인 drift를 유도하고 이때의 precision을 측정하여 drift와 precision의 데이터 셋을 만들어 학습한다. Algorithm 2에서는 테스트 데이터를 통해 실제 precision과 예측 precision의 차이를 측정하여 성능 예측 모델의 오차를 보정 한다. 현실 비즈니스에서 사용될 수 있는 대출 심사 모델과 신용카드 오사용 탐지 모델에 PPM을 적용하여 성능 예측의 유효성을 확인했다.

• Computers and Concrete
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• 제32권3호
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• pp.247-261
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• 2023

Due to the non-uniform distribution of meso-structure, the diffusion of chloride ions in concrete show the characteristics of characteristics of randomness and fuzziness, which leads to the non-uniform distribution of chloride ions and the non-uniform corrosion of steel rebar in concrete. This phenomenon is supposed as the main reason causing the uncertainty of the bearing capacity deterioration of reinforced concrete structures. In order to analyze and predict the durability of reinforced concrete structures under chloride environment, the random features of chloride ions transport in concrete were studied in this research from in situ meso-structure of concrete. Based on X-ray CT technology, the spatial distribution of coarse aggregates and pores were recognized and extracted from a cylinder concrete specimen. In considering the influence of ITZ, the in situ mesostructure of concrete specimen was reconstructed to conduct a numerical simulation on the diffusion of chloride ions in concrete, which was verified through electronic microprobe technology. Then a stochastic study was performed to investigate the distribution of chloride ions concentration in space and time. The research indicates that the influence of coarse aggregate on chloride ions diffusion is the synthetic action of tortuosity and ITZ effect. The spatial distribution of coarse aggregates and pores is the main reason leading to the non-uniform distribution of chloride ions both in spatial and time scale. The chloride ions concentration under a certain time and the time under a certain concentration both satisfy the Lognormal distribution, which are accepted by Kolmogorov-Smirnov test and Chi-square test. This research provides an efficient method for obtain mass stochastic data from limited but representative samples, which lays a solid foundation for the investigation on the service properties of reinforced concrete structures.

• Journal of Trauma and Injury
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• 제25권2호
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• pp.49-56
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• 2012

Purpose: For determining the prognosis of critically injured patients, transporting patients to medical facilities capable of providing proper assessment and management, running rapid assessment and making rapid decisions, and providing aggressive resuscitation is vital. Considering the high mortality and morbidity rates in critically injured patients, various studies have been conducted in efforts to reduce those rates. However, studies related to diagnostic factors for predicting severity in critically injured patients are still lacking. Furthermore, patients showing stable vital signs and alert mental status, who are injured via a severe trauma mechanism, may be at a risk of not receiving rapid assessment and management. Thus, this study investigates diagnostic factors, including physical examination and laboratory results, that may help predict severity in trauma patients injured via a severe trauma mechanism, but showing stable vital signs. Methods: From March 2010 to December 2011, all trauma patients who fit into a diagnostic category that activated a major trauma team in CHA Bundang Medical Center were analyzed retrospectively. The retrospective analysis was based on prospective medical records completed at the time of arrival in the emergency department and on sequential laboratory test results. PASW statistics 18(SPSS Inc., Chicago, IL, USA) was used for the statistical analysis. Patients with relatively stable vital signs and alert mental status were selected based on a revised trauma score of more than 7 points. The final diagnosis of major trauma was made based on an injury severity score of greater than 16 points. Diagnostic variables include systolic blood pressure and respiratory rate, glasgow coma scale, initial result from focused abdominal sonography for trauma, and laboratory results from blood tests and urine analyses. To confirm the true significance of the measured values, we applied the Kolmogorov-Smirnov one sample test and the Shapiro-Wilk test. When significance was confirmed, the Student's t-test was used for comparison; when significance was not confirmed, the Mann-Whitney u-test was used. The results of focused abdominal sonography for trauma (FAST) and factors of urine analysis were analyzed using the Chi-square test or Fisher's exact test. Variables with statistical significance were selected as prognostics factors, and they were analyzed using a multivariate logistics regression model. Results: A total of 269 patients activated the major trauma team. Excluding 91 patients who scored a revised trauma score of less than 7 points, 178 patients were subdivided by injury severity score to determine the final major trauma patients. Twenty-one(21) patients from 106 major trauma patients and 9 patients from 72 minor trauma patients were also excluded due to missing medical records or untested blood and urine analysis. The investigated variables with p-values less than 0.05 include the glasgow coma scale, respiratory rate, white blood cell count (WBC), serum AST and ALT, serum creatinine, blood in spot urine, and protein in spot urine. These variables could, thus, be prognostic factors in major trauma patients. A multivariate logistics regression analysis on those 8 variables showed the respiratory rate (p=0.034), WBC (p=0.005) and blood in spot urine (p=0.041) to be independent prognostic factors for predicting the clinical course of major trauma patients. Conclusion: In trauma patients injured via a severe trauma mechanism, but showing stable vital signs and alert mental status, the respiratory rate, WBC count and blood in the urine can be used as predictable factors for severity. Using those laboratory results, rapid assessment of major trauma patients may shorten the time to diagnosis and the time for management.

• 한국ITS학회 논문지
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• 제3권2호
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• pp.129-140
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• 2004

본 논문에서는 지방부 간선도로 단속류 구간(국도 42호선 양지$\~$용인구간 6km)의 통행시간정보에 관한 체계적인 수집 $\cdot$ 분석을 위해 현재 국도교통관리시스템(RTMS : Rural Trafc Management System)상에서 운영중인 차량 번호판 매칭방식 AVI 수집자료에 대한 신뢰성 검증 및 단속류 구간 통행시간 자료의 적정집락간격에 관한 연구가 수행되었다. 우선 AVI수집자료 신뢰성 검증을 위하여 번호판 매칭방식 AVI표본수집자료와 전수조사자료를 Kolmogorov-Smirnov 검증기법을 이용하여 분석한 결과 AVI 자료는 통과위주의 대표차로상에서 수집되는 관계로 전차로에 대한 수집자료와 교통특성에 차이가 있어 현재의 번호판 매칭방식 AW 표본수집자료를 통해 산출된 구간통행시간을 구간의 대표값으로 적용하는 문제는 추가 검토가 필요하다. 그리고 적정집락간격을 산출하기 위하여 통계적 추정 개념인 점추정과 구간추정을 적용하여 모형을 개발하여 적용한 결과 점추정기법이 구간추정기법보다 집락간격결정에 민감하고, 보다 정확한 적정집락간격 선정이 가능한 것으로 밝혀졌으며, 적정집락간격은 5분으로 산정되어 현재 적용되고 있는 5분 집락간격은 적정한 것으로 판단된다.

• 한국산림과학회지
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• 제102권4호
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• pp.477-483
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• 2013

본 연구의 목적은 몬테 카를로 시뮬레이션을 이용하여 소나무 탄소배출계수 자료의 확률밀도를 추정하고 불확도를 제시하는데 있다. 이용된 탄소배출계수는 목재기본밀도, 바이오매스확장계수, 뿌리함량비이고 4개의 확률밀도 함수(정규분포, 로그정규분포, 감마분포, 와이불 분포)를 고려하였다. 2-표본 콜모그로프-스미르노프 검정통계량과 누적밀도그림을 비교하여 최적의 확률밀도함수를 선정하고 상한과 하한의 불확도를 제시하였다. 본 연구의 결과에 의하면, 각 탄소배출계수에서 추정된 확률밀도함수는 강원지방소나무에서 목재기본밀도는 감마분포, 바이오매스확장계수는 로그정규분포, 뿌리함량비는 정규분포이고 중부지방소나무에서 목재기본밀도는 정규분포, 바이오매스확장계수는 감마분포, 뿌리함량비는 감마분포를 나타내었다. 강원지방소나무 탄소배출계수의 불확도는 상한에서 62.1%, 하한에서 -52.6%이고 중부지방소나무는 상한에서 43.9%, 하한에서 -34.5%를 나타내었다.

• 응용통계연구
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• 제33권2호
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• pp.215-228
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• 2020

농촌진흥청에서는 식품산업진흥법 제19조 제1항에 의거하여 국가표준식품성분표를 5년 주기로 발표하고 있다. 본 논문에서는 2021년 국가표준식품성분표 제10개정판 발간을 앞두고 우리나라 국민들이 많이 소비하고 있는 식품으로 선정된 182개 식품의 대표시료를 합리적이고 과학적으로 추출하기 위한 방안을 제안하였다. 농수산물을 포함한 식품을 판매하는 식료품점을 유통형태에 따라 대형마트와 전통시장으로 구분한 후 NFNAP에서 제안한 층화다단추출법을 각각 적용하여 8개 표본을 추출하였다. NFNAP는 미국인들이 소비하고 있는 식료품의 성분표에 대한 신뢰성 있는 추정을 담보하기 위해 미국 농무성과 국립보건원이 1977년에 협약을 맺고 공동 연구로 개발한 국가식품 영양분석 프로그램이다. 대형마트에 기초한 표본추출에서는 이마트 가양점, 홈플러스 시흥점, 롯데마트 동두천점, 이마트 수원점, 롯데마트 둔산점, 롯데마트 여수점, 이마트 울산점, 하나로클럽 울산점이 표본으로 추출되었고, 전통시장에 기초한 표본추출에서는 서울시 금천구 독산동우시장과 송파구 풍납시장, 고양시 일산서구 일산시장, 광주광역시 북구 운암시장, 대전광역시 대덕구 법동시장, 부산광역시 영도구 봉래시장과 해운대구 좌동재래시장, 창원시 진해구 중앙시장이 표본으로 추출되었다.