• 제목/요약/키워드: kolmogorov-smirnov test

검색결과 207건 처리시간 0.034초

하수처리수의 농업용수 재이용을 위한 관개수량 산정방법에 관한 연구 (A Study on the Estimation of Irrigation Water for Sewage Treated Water Reuse for Agriculture)

  • 조현경;김상민
    • 한국농공학회논문집
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    • 제61권2호
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    • pp.97-104
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    • 2019
  • The purpose of this study was to establish the estimation method of irrigation water amount for sewage treated water reuse for agricultural purpose. To calculate the irrigation water amount, we adopted Penman-Monteith for potential evapotranspiration estimation and applied crop coefficient and irrigation efficiency factor. We developed the irrigation water amount calculation program using C language in Xcode environment. The target district for calculation is having 259 ha of agricultural land located near the Jinyeong Clear Water Circulation Center in Hanrim-myeon, Gimhae city. The meteorological data of the study area were obtained from Changwon weather station from 1986 to 2017. Calculated average and maximum of annual mean potential evapotranspiration were 2.72 mm/day and 6.22 mm/day, respectively. We used K-S (Kolmogorov-Smirnov) for goodness-of-fit test to find optimal probability distribution of annual mean and maximum evapotranspiration. As a result, the normal distribution was selected for the appropriate distribution. The annual mean and maximum potential evapotranspiration for 10-year return period by applying normal distribution were 2.88 mm/day and 6.76 mm/day, respectively. Assuming that the irrigation efficiency is 80%, the irrigation water requirement was calculated as $36.05m^3/day/ha$ and $84.45m^3/day/ha$, respectively, when annual mean and maximum potential evapotranspiration were applied. The actual irrigation water amount can be calculated by applying the crop coefficient and cropping days for the study area based on the developed irrigation water amount estimation program in this study.

동해 해역에서 해저면 잔향음 및 통계적 특징 (Ocean bottom reverberation and its statistical characteristics in the East Sea)

  • 정영철;이근화;성우제;김성일
    • 한국음향학회지
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    • 제38권1호
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    • pp.82-95
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    • 2019
  • 본 연구에서는 2015년 8월, 동해 동남방 해역에서 수행된 해양 잔향음 빔 데이터를 분석하였다. 잔향음 데이터는 이동하는 연구선에 의해 예인된 LFM (Linear Frequency Modulation) 음원과 삼중선 배열을 통해 수집되었으며, 신호처리 과정을 거친 이후 해저지형, 음원/수신기 수심, 음속구조에 따른 잔향음 준위의 변화를 분석하였다. 추가로 해저 잔향음의 확률적 특성을 해석하기 위해 셀 평균화 알고리즘이 적용된 정규화 데이터가 활용되었고, 모멘트 추정기법을 통해 형상 모수를 추정하여 해저 산란체의 확률적 특징을 확인하였다. 또한, 콜모고로프 스미르노프 검정 기법을 이용하여 데이터가 레일레이 분포와 K 분포 확률에 일치하는지를 분석하였다. 결과적으로 해저 지형에 따른 잔향음의 거리종속 특성과 음원/수신기 수심에 따른 시간 지연 및 세기 변화를 확인하였고, 잔향음에서 레일레이 확률분포와 유사한 특성을 관찰할 수 있었다.

Investigating the Impact of Establishing Integrated Management Systems on Accidents and Safety Performance Indices: A Case Study

  • Laal, Fereydoon;Pouyakian, Mostafa;Madvari, Rohollah F.;Khoshakhlagh, Amir H.;Halvani, Gholam H.
    • Safety and Health at Work
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    • 제10권1호
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    • pp.54-60
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    • 2019
  • Background: Increasing the establishment of integrated management systems (IMSs) is done with the purpose of leaving traditional management methods and replacing them with modern management methods. Thus, the present study sought to analyze the events and investigate the impact of IMS on health and safety performance indices in an Iranian combined cycle power plants. Methods: This case study was conducted in 2012 in all units of the Yazd Combined Cycle Power Plant on accident victims before and after the implementation of IMS. For data analysis and prediction of indices after the implementation of IMS, descriptive statistics and Kolmogorov-Smirnov test, Chi-square, linear regression, and Cubic tests were conducted using SPSS software. Results: The number of people employed in the power plant in an 8-year period (2004-2011) was 1,189, and 287 cases of work-related accidents were recorded. The highest accident frequency rate and accident severity rate were in 2004 (32.65) and 2008 (209), respectively. Safe T-score reached to below -3 during 2010-2011. In addition, given the regression results, the relation between all predictor variables with outcomes was significant (p < 0.05), except for the variable $X^1$ belonging to the accident severity rate index. Conclusion: The implementation of safety programs especially that of IMS and its annual audits has had a significant impact on reducing accident indices and improving safety within the study period. Accordingly, health and safety management systems are appropriate tools for reducing accident rate, and the use of regression models and accident indices is also a suitable way for monitoring safety performance.

A copula based bias correction method of climate data

  • Gyamfi Kwame Adutwum;Eun-Sung Chung
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2023년도 학술발표회
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    • pp.160-160
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    • 2023
  • Generally, Global Climate Models (GCM) cannot be used directly due to their inherent error arising from over or under-estimation of climate variables compared to the observed data. Several bias correction methods have been devised to solve this problem. Most of the traditional bias correction methods are one dimensional as they bias correct the climate variables separately. One such method is the Quantile Mapping method which builds a transfer function based on the statistical differences between the GCM and observed variables. Laux et al. introduced a copula-based method that bias corrects simulated climate data by employing not one but two different climate variables simultaneously and essentially extends the traditional one dimensional method into two dimensions. but it has some limitations. This study uses objective functions to address specifically, the limitations of Laux's methods on the Quantile Mapping method. The objective functions used were the observed rank correlation function, the observed moment function and the observed likelihood function. To illustrate the performance of this method, it is applied to ten GCMs for 20 stations in South Korea. The marginal distributions used were the Weibull, Gamma, Lognormal, Logistic and the Gumbel distributions. The tested copula family include most Archimedean copula families. Five performance metrics are used to evaluate the efficiency of this method, the Mean Square Error, Root Mean Square Error, Kolmogorov-Smirnov test, Percent Bias, Nash-Sutcliffe Efficiency and the Kullback Leibler Divergence. The results showed a significant improvement of Laux's method especially when maximizing the observed rank correlation function and when maximizing a combination of the observed rank correlation and observed moments functions for all GCMs in the validation period.

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보중익기탕연조엑스의 1회 경구투여 후 안전성 평가에 관한 단일기관 연구 (Safety of Bojungikgi-tang Soft Extract after Single Oral Administration in Healthy Male Volunteers, Single Center Study)

  • 안성후;정영진;김종규;신혜령;권영달
    • 한방재활의학과학회지
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    • 제31권4호
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    • pp.157-166
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    • 2021
  • Objectives This study is designed to evaluate the safety of Bojungikgi-tang soft extract in healthy male volunteers. Methods 12 healthy male volunteers were recruited and this study was carried out by a single center. Laboratory test results, vital signs of the volunteers were collected to evaluate safety. According to registration order, the 12 subjects were allocated by serial number. To evaluate safety, blood samples were taken and vital signs were checked 4 times - screening, pre administration, post administration and follow up-during the whole trial. The difference between pre (before medication [0 hr]) and post-administration (after medication [48 hr]) variables was summarized as mean±standard deviation. The normality test was performed using the Kolmogorov-Smirnov test and Shapiro-Wilk test. When the normality is satisfied, the paired t-test is applied. Otherwise, the non-parametric method, Wilcoxon signed rank test is applied. The significance level was p<0.05. The incidence of all adverse effects are shown in percentage. Results In the case of red blood cell, hemoglobin, hematocrit, lymphocytes, neutrophils, protein, γ-glutamyl transpeptidase values, the normality test result of the variable for the difference value before and after the dosing has a significance level <0.05. But most of values did not deviate from the normal range, and the deviation from the normal range could not be regarded as the significance associated with this clinical trial. And adverse event wasn't observed associated with the clinical trial drug. Conclusions Bojungikgi-tang soft extract were considered to be safe for healthy male volunteers.

연최대강우량의 대표확률분포형 결정을 위한 Jackknife기법의 적용 (Application of Jackknife Method for Determination of Representative Probability Distribution of Annual Maximum Rainfall)

  • 이재준;이상원;곽창재
    • 한국수자원학회논문집
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    • 제42권10호
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    • pp.857-866
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    • 2009
  • 본 연구에서는 전국의 30년 이상의 강우관측기록을 보유하고 있는 기상청 산하 56개 강우관측소의 연 최대치 강우자료들로부터 확률분포형에 대하여 모멘트법, 최우추정법, 확률가중모멘트법을 이용하여 모수를 추정하고, 그 모수의 범위와 확률변수의 범위에 대한 적정성을 알아보았다. 적정성이 있는 모수를 대상으로 적합도 검정법인 x$^2$-검정, K-S검정, Cramer von Mises (CVM)검정, Probability Plot Correlation Coefficient (PPCC) 검정을 실시한 결과 중, 최근 연구에서 많이 이용되고 있고 표본자료의 크기가 작거나 왜곡된 자료일 경우에도 비교적 안정적인 결과를 얻을 수 있는 확률가중모멘트법과 상관계수에 의한 검정인 PPCC검정을 통과한 분포형을 우선적으로 적합도 평가 대상 분포형으로 선정하였다. 선정된 분포형을 대상으로 적합도 평가기준인 SLSC, MLL, AIC를 적용하여 적합도 평가를 실시하여 대표확률분포형 후보군을 추출하였다. 대표확률분포형 후보군으로 선정된 확률분포형에 대하여 resampling방법인 Jackknife기법을 적용하여 변동성을 파악하고, 변동성이 가장 작게 나타난 분포형을 그 지점의 대표확률분포형으로 결정하였다. 본 논문에서는 분석 결과의 분량을 감안하여 대표적으로 서울, 강릉, 대구, 전주, 부산 지점에 대해 작성하였으며, 확률강우량의 변동성이 가장 작은 확률분포형을 56개 지점의 각 지점 대표확률분포형으로 제시하였으며, Gumbel 분포(GUM)의 선정 비율이 지속기간 12시간, 24시간에 대해 각각 41 %, 32 %로 가장 높게 나타났다. 본 연구에서는 적합도 평가를 함에 있어서 객관적 정량화가 가능한 세 가지 기준과 Jackknife기법을 이용한 새로운 확률분포형 선정의 가능성을 제시하였다.

확률분포 특성을 이용한 탱커부두에서의 선박접안속도 예측값 추정 (Estimation of Berthing Velocity Using Probability Distribution Characteristics in Tanker Terminal)

  • 이상원;조장원;조익순
    • 한국항해항만학회지
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    • 제43권3호
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    • pp.186-196
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    • 2019
  • 선박의 접안과정 중 발생하는 접안에너지는 접안속도와 밀접한 관계가 있다. 접안속도가 과다할 경우 선박 및 부두에 손상이 발생하는 접안사고로 이어질 수 있으므로 적절한 접안속도를 설계하는 것이 중요하다. 선박접안속도의 경우, 일반적으로 대수정규분포를 따른다고 가정하고 있으나 국내에서는 이에 대한 검증이나 연구가 없어 해외의 사례를 바탕으로 설계접안속도를 설정하고 있는 상황이다. 이에 본 연구에서는 부두의 선박접안속도 분석을 통계학적으로 접근하여 실측데이터와 확률분포를 비교하여 가장 적합한 확률분포를 찾고자 하였다. 적합도 검정으로는 K-S(Kolmogorov-Smirnov) 검정, A-D(Anderson-Darling) 검정, Q-Q(Quantile-Quantile) 플롯 등을 이용하여 접안속도 실측치 분포에 적합한 확률분포를 확인하였다. 분석 결과, 접안속도의 빈도분포는 선박의 재화상태에 따라 만재 시, 대수정규분포, 경하 시에는 와이블분포와 적합함을 확인하였다. 또한 적합도 검정 결과를 이용하여 초과확률에 해당하는 접안속도 예측치를 산출하였다. 이 예측값과 해당 부두의 설계접안속도와 비교 해본 결과, 예측값이 설계값을 크게 초과함을 확인하였다. 이를 통해 설계 시의 접안속도가 현실과 맞지 않게 다소 낮게 설정되어 있음을 알 수 있으며, 이 결과를 바탕으로 적정 설계접안속도 산정법 개선에 기여할 수 있을 것으로 기대된다.

설계강우량 산정을 위한 매개변수 추정방법 평가 (Evaluation of Parameter Estimation Method for Design Rainfall Estimation)

  • 김귀훈;전상민;장정렬;송인홍;강문성;최진용
    • 한국농공학회논문집
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    • 제63권4호
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    • pp.87-96
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    • 2021
  • Determining design rainfall is the first step to plan an agricultural drainage facility. The objective of this study is to evaluate whether the current method for parameter estimation is reasonable for computing the design rainfall. The current Gumbel-Kendall (G-K) method was compared with two other methods which are Gumbel-Chow (G-C) method and Probability weighted moment (PWM). Hourly rainfall data were acquired from the 60 ASOS (Automated Synoptic Observing System) stations across the nation. For the goodness-of-fit test, this study used chi-squared (𝛘2) and Kolmogorov-Smirnov (K-S) test. When using G-K method, 𝛘2 statistics of 18 stations exceeded the critical value (𝑥2a=0.05,df=4=9.4877) and 10, 3 stations for G-C method, PWM method respectively. For K-S test, none of the stations exceeded the critical value (Da=0.05n=0.19838). However, G-K method showed the worst performances in both tests compared to other methods. Subsequently, this study computed design rainfall of 48-hour duration in 60 ASOS stations. G-K method showed 5.6 and 6.4% higher average design rainfall and 15.2 and 24.6% higher variance compared to G-C and PWM methods. In short, G-K showed the worst performance in goodness-of-fit tests and showed higher design rainfall with the least robustness. Likewise, considering the basic assumptions of the design rainfall estimation, G-K is not an appropriate method for the practical use. This study can be referenced and helpful when revising the agricultural drainage standards.

L-모멘트법에 의한 강우의 지역빈도분석 (Regional Frequency Analysis for Rainfall using L-Moment)

  • 고덕구;추태호;맹승진;찬다트리베디
    • 한국콘텐츠학회논문지
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    • 제8권3호
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    • pp.252-263
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    • 2008
  • 본 연구에서는 L-모멘트법에 의한 지역화 빈도분석에 따른 설계강우량 추정에 관한 연구를 수행하였다. 제주도와 울릉도의 강우관측소를 제외한 분석에 사용된 65개 강우관측소의 강우자료 수집과 선정된 강우관측지점의 강우자료의 지속시간, 즉 1, 3, 6, 12, 24, 36, 48 및 72시간 지속의 연최대치 계열을 구성하였다. 관측지점을 대상으로 Cluster분석을 실시한 결과 우리나라의 강우관측지점에 대한 합리적인 지역화로 5개의 지역으로 구분되었다. 지역화된 지역에 대한 지속기간별 극치강우자료의 적정분포모형 결정을 위한 6가지 분포모형의 적용하고 적용분포의 L-모멘트비를 산정하여 L-모멘트비도를 도시하고 K-S 검정에 의한 적정분포모형을 선정하였다. 선정된 적정분포는 GEV 분포이며 이 분포에 의해 강우관측치의 점빈도 및 지역빈도분석에 의한 설계강우량을 유도하였다. Monte Carlo 기법에 의해 모의발생된 강우량의 점빈도 및 지역빈도분석에 의한 설계강우량을 유도하였다. 실측치 및 모의발생치의 점빈도 및 지역빈도분석에 의한 설계강우량의 비교분석을 위해 상대제곱근오차와 상대편의오차에 의해 분석한 결과 점빈도 분석에 의한 설계강우량보다 지역빈도분석에 의한 설계강우량의 사용이 적정한 것으로 나타났다.

비정규분포공정에서 매디안특수관리도의 모형설계와 적용연구 (Median Control Chart for Nonnormally Distributed Processes)

  • 신용백
    • 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.

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