• 제목/요약/키워드: Kolmogorov-smirnov

검색결과 246건 처리시간 0.027초

Estimation of Suitable Methodology for Determining Weibull Parameters for the Vortex Shedding Analysis of Synovial Fluid

  • Singh, Nishant Kumar;Sarkar, A.;Deo, Anandita;Gautam, Kirti;Rai, S.K.
    • 대한의용생체공학회:의공학회지
    • /
    • 제37권1호
    • /
    • pp.21-30
    • /
    • 2016
  • Weibull distribution with two parameters, shape (k) and scale (s) parameters are used to model the fatigue failure analysis due to periodic vortex shedding of the synovial fluid in knee joints. In order to determine the later parameter, a suitable statistical model is required for velocity distribution of synovial fluid flow. Hence, wide applicability of Weibull distribution in life testing and reliability analysis can be applied to describe the probability distribution of synovial fluid flow velocity. In this work, comparisons of three most widely used methods for estimating Weibull parameters are carried out; i.e. the least square estimation method (LSEM), maximum likelihood estimator (MLE) and the method of moment (MOM), to study fatigue failure of bone joint due to periodic vortex shedding of synovial fluid. The performances of these methods are compared through the analysis of computer generated synovial fluidflow velocity distribution in the physiological range. Significant values for the (k) and (s) parameters are obtained by comparing these methods. The criterions such as root mean square error (RMSE), coefficient of determination ($R^2$), maximum error between the cumulative distribution functions (CDFs) or Kolmogorov-Smirnov (K-S) and the chi square tests are used for the comparison of the suitability of these methods. The results show that maximum likelihood method performs well for most of the cases studied and hence recommended.

결혼이주여성을 위한 임신/분만관리 교육프로그램이 임신관련지식, 신생아 양육지식 및 산후관리 자기효능감에 미치는 효과 (Effects of an Educational Program of Pregnancy and Delivery on Pregnancy related Knowledge, Newborn Care Knowledge, and Postpartum Care Self-efficacy of Marriage Immigrant Women)

  • 김은희;이은주;김미조;박동영;이성희
    • 대한간호학회지
    • /
    • 제40권1호
    • /
    • pp.78-87
    • /
    • 2010
  • Purpose: This study was designed to evaluate the effects of an educational program on pregnancy and delivery including pregnancy related knowledge, newborn care knowledge, and postpartum care self-efficacy for married immigrant women. Methods: A nonequivalent control group quasi-experimental design was used. The educational program was developed by though an educational need assessment of married immigrant women and an expert opinion. The program was provided for 3 weeks, once a week for two hours. The data were analyzed with SPSS program using Kolmogorov-Smirnov, $X^2$-test, Fisher's exact test, and t-test. Results: The program significantly improved pregnancy related knowledge, newborn care knowledge, and postpartum care self-efficacy for the married immigrant women who participated in the program compared to the women who did not. Conclusion: The results indicate that the educational program has an affirmative effect on pregnancy related knowledge, knowledge of newborn care, and postpartum care self-efficacy in these women. It is suggested, therefore, that the educational program be used to every married immigrant woman at the public health centers or delivery clinics help them to adjust to the childbearing and childrearing experience and this will ultimately enhance the quality of family life of married immigrant women in Korea.

슬 골관절염 여성을 위한 하지 운동프로그램이 근력과 유연성에 미치는 효과 (Effects of Lower Extremity Exercise Program on Muscle Strength and Flexibility in Women with Knee Osteoarthritis)

  • 김종임;김태숙
    • 기본간호학회지
    • /
    • 제13권3호
    • /
    • pp.401-408
    • /
    • 2006
  • Purpose: The purpose of this study was to determine the effects of a lower extremity exercise program on muscle strength and flexibility in women with knee osteoarthritis. Method: This study was conducted using a non-equivalent control group pretest-posttest design. The participants were 35 women with knee osteoarthritis. The experimental group performed the lower extremity exercise program, which was an adapted BeHaS exercise program developed by Kim(2006). It consisted of approximately 65-130 minutes per one session, two days a week, for twelve weeks. Lower extremity muscle strength was measured by the Seated Leg Press Machine (TY-H2217, made in Korea), back muscle strength by back muscle strength scale (TKK 5402, made in Japan) and flexibility, by Sit and Reach tester (01285, U.S.A). Data were gathered from September 2005 to March 2006. Frequency, $X^2$ test and t-test were used to analyze the data. SPSS Win 11.0 was used to assist analysis. For normal distribution of data, Kolmogorov-Smirnov test was done. Results: There were statistical differences in the mean strength of both legs together, strength in leg with more pain(p=.044; p=.046), sit and standing time (p=.007), and back strength (p=.021). Conclusion: Based on these results, it can be concluded that a lower extremity exercise program can help improve lower extremity muscle strength in women with osteoarthritis.

  • PDF

모의실험에 의한 리커트형 설문분석 방법의 비교 (A simulation comparison on the analysing methods of Likert type data)

  • 김현철;최승경;최동호
    • Journal of the Korean Data and Information Science Society
    • /
    • 제27권2호
    • /
    • pp.373-380
    • /
    • 2016
  • 리커트형 데이터가 순서척도임에도 불구하고 많은 연구자들이 구간척도로 간주하여 모수 방법을 적용하고 있다. 본 연구에서는 리커트형 데이터를 어떻게 분석하는 것이 적절한지 모의 실험을 통하여 알아본다. 다양한 분포를 갖는 5점 리커트형 표본을 추출하여 위치를 비교하고, 순서척도의 경우 위치비교 보다 응답분포를 살펴보는 것이 더 타당하므로 응답분포 검정을 실시한다. 위치를 비교하는 방법으로는 구간척도로 생각하고 분석하는 모수 방법인 t-검정과 순서척도로 생각하는 비모수 방법인 만- 휘트니검정 (M-W검정)을 적용하고, 응답분포를 검정하기 위해서는 카이제곱 검정과 콜모고로프 - 스미르노프검정 (K-S검정)을 실시한다. 네 가지 방법의 효율성을 비교하기 위하여 제 1종 오류 (Type I error)의 비율과 검정력 (power)을 구한다.

식중독 발생 위해인자로서 가정용 냉장고의 온도에 대한 확률분포 분석 (Statistical Probability Analysis of Storage Temperatures of Domestic Refrigerator as a Risk Factor of Foodborne Illness Outbreak)

  • 박경진
    • 한국식품과학회지
    • /
    • 제42권3호
    • /
    • pp.373-376
    • /
    • 2010
  • 본 연구는 국내에서의 가정내 냉장고 온도에 대한 조사를 수행하여, 현 시점에서의 냉장고에서의 식품보관 온도분포를 추정하였고, 이를 MRA(미생물 위해평가: Microbial risk assessment)의 입력변수로 활용할 수 있도록 적정 확률분포 모델을 제시하였다. 일반적으로 가정내 냉장고에서의 식품 보관온도는 식중독 발생 등에서 있어 중요한 위해인자로 작용하는 것으로 알려져 있다. 조사대상 가구는 총 139가구이었으며, 조사기간은 2009년 5월에서부터 9월까지 data logger를 이용하여 측정하였다. 조사된 냉장고 온도의 평균은 $3.53{\pm}2.96^{\circ}C$로, $5^{\circ}C$ 이상은 23.6%로 나타났다. 수집된 온도자료는 @RISK를 이용, 적합성 검정(GOF: K-S와 AD test)을 수행하여 적정 확률분포모델에 대해 추정하였고, 이중 LogLogistic(-10.407, 13.616, 8.6107)분포 모델이 가장 적절한 국내에서의 가정내 냉장고 식품보관 온도분포 모델로 나타났다. 이 확률분포 모델은 MRA적용에 있어 노출평가에서 입력변수로서 직접적 활용이 가능하다고 할 수 있겠다.

확률분포를 이용한 지속가능한 빗물이용시설의 저류용량 산정 (Estimation of Storage Capacity for Sustainable Rainwater Harvesting System with Probability Distribution)

  • 강원구;정은성;이길성;오진호
    • 한국물환경학회지
    • /
    • 제26권5호
    • /
    • pp.740-746
    • /
    • 2010
  • Rainwater has been used in many countries as a way of minimizing water availability problems. Rainwater harvesting system (RHS) has been successfully implemented as alternative water supply sources even in Korea. Although RHS is an effective alternative to water supply, its efficiency is often heavily influenced by temporal distribution of rainfall. Since natural precipitation is a random process and has probabilistic characteristics, it will be more appropriate to describe these probabilistic features of rainfall and its relationship with design storage capacity as well as supply deficit of RHS. This study presents the methodology to establish the relationships between storage capacities and deficit rates using probability distributions. In this study, the real three-story building was considered and nine scenaries were developed because the daily water usage pattern of the study one was not identified. GEV, Gumbel and the generalized logistic distribution ware selected according to the results of Kolmogorov-Smirnov test and Chi-Squared test. As a result, a set of curves describing the relationships under different exceedance probabilities were generated as references to RHS storage design. In case of the study building, the deficit rate becomes larger as return period increases and will not increase any more if the storage capacity becomes the appropriate quantity. The uncertainties between design storage and the deficit can be more understood through this study on the probabilistic relationships between storage capacities and deficit rates.

한국 연안 심해 설계파고의 극치분포 특성 (Characteristics on the Extreme Value Distributions of Deepwater Design ave Heights off the Korean Coast)

  • 정신택;김정대;조홍연
    • 한국해안해양공학회지
    • /
    • 제16권3호
    • /
    • pp.130-141
    • /
    • 2004
  • 연안 및 항만구조물의 설계에서 심해 설계파는 매우 중요한 환경인자이다. 특히, 심해설계파고의 분포 정보는 최근 부각되고 있는 신뢰성 설계에 필수적인 요소이다. 본 연구에서는 한국해양연구원(2003)에서 제시한 1979년부터 1998년까지의 한국연안 67개 지점의 16방향별 최대 유의파 산출자료를 이용하여 극치분포 분석을 수행하였다. 특성분석에 사용된 극치분포함수는 Weibull, Gumbel, Log-Pearson Type-III, Lognormal 분포이며, 각 분포함수의 매개변수는 모멘트법, 최우도법 그리고 확률가중모멘트법으로 추정하였다. 또한, 극치분포함수의 적합성은 95% 신뢰도 수준으로 $\chi$$^2$및 K-S 검정을 실시하였다. 그 결과, 한국연안의 심해 설계파고는 Gumbel 분포형이 가장 적합한 모형으로 파악되었으며, 최적 추정된 매개변수 및 재현기간 50년에 대한 심해 설계파고 정보를 제시하였다.

L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 - (Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments -)

  • 이순혁;윤성수;맹승진;류경식;주호길
    • 한국농공학회지
    • /
    • 제45권5호
    • /
    • pp.97-109
    • /
    • 2003
  • This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

RC 및 PSC 콘크리트에서 반발도 및 초음파 속도의 변화에 대한 연구 (A Study on the Statistical Distribution of Rebound Number and Ultrasonic Pulse Velocity in RC and PSC Concrete Structures)

  • 사민형;윤영근;이인복;우인성;오태근
    • 한국안전학회지
    • /
    • 제32권4호
    • /
    • pp.53-58
    • /
    • 2017
  • The rebound hammer test and the measurement of ultrasonic pulse velocity(UPV) have been widely used for the physical properties & condition evaluation of reinforced & prestressed concrete structures for a long time, but the acoustoelastic effects by the prestressing in the prestressed concrete structures on the rebound number and ultrasonic pulse velocity have not been studied clearly. Therefore, this study investigated the data distribution of the rebound numbers and ultrasonic pulse velocities in reinforced and prestressed concrete slabs of $3000{\times}3000mm$ with a thickness of 250 mm. Also, the Kolmogorov-Smirnov goodness-of-fit test was done in order to identify statistical consistency and reliability. The statistical analysis results show that the rebound number and ultrasonic pulse velocities increased about 1.9% and 2.5%, respectively when prestressing was applied. As expected, the UPV shows better statistical reliability and potential for in situ evaluation than the RB because the RB are more sensitive to testing posture, surface condition, temperature and humidity so on. The experimental data in this study can be used for the condition assessment of reinforced and prestressed concrete structures by the rebound number and ultrasonic pulse velocity.

L-모멘트 및 LH-모멘트 기법에 의한 적정 설계홍수량의 유도( I ) - L-모멘트법을 중심으로 - (Derivation of Optimal Design Flood by L-Moments and LB-Moments ( I ) - On the method of L-Moments -)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • 한국농공학회지
    • /
    • 제40권4호
    • /
    • pp.45-57
    • /
    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme Value (GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the Relative Mean Errors(RME) and Relative Absolute Errors(RAE). The results were analyzed and summarized as follows. 1. Adequacy for the analysis of flood data was acknowledged by the tests of Independence, Homogeneity and detection of Outliers. 2. GEV distribution used in this study was found to be more suitable one than Pearson type 3 distribution by the goodness of fit test using Kolmogorov-Smirnov test and L-Moment ratios diagram in the applied watersheds. 3. Parameters for GEV distribution were estimated using Methods of Moments and L-Moments. 4. Design floods were calculated by Methods of Moments and L-Moments in GEV distribution. 5. It was found that design floods derived by the method of L-Moments using Weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors.

  • PDF