• 제목/요약/키워드: Non-parametric methods

검색결과 269건 처리시간 0.027초

Quantile-based Nonparametric Test for Comparing Two Diagnostic Tests

  • Kim, Young-Min;Song, Hae-Hiang
    • Communications for Statistical Applications and Methods
    • /
    • 제14권3호
    • /
    • pp.609-621
    • /
    • 2007
  • Diagnostic test results, which are approximately normal with a few number of outliers, but non-normal probability distribution, are frequently observed in practice. In the evaluation of two diagnostic tests, Greenhouse and Mantel (1950) proposed a parametric test under the assumption of normality but this test is inappropriate for the above non-normal case. In this paper, we propose a computationally simple nonparametric test that is based on quantile estimators of mean and standard deviation, instead of the moment-based mean and standard deviation as in some parametric tests. Parametric and nonparametric tests are compared with simulations under the assumption of, respectively, normality and non-normality, and under various combinations of the probability distributions for the normal and diseased groups.

비열등성 시험에서 위치 방법에 기초한 표본 수 결정 (Sample size determination based on placements for non-inferiority trials)

  • 김지연;김동재
    • Journal of the Korean Data and Information Science Society
    • /
    • 제24권6호
    • /
    • pp.1349-1357
    • /
    • 2013
  • 임상시험에서 적당한 크기의 표본 수 결정은 통계적으로 유의한 연구결과의 도출과 연구수행의 효율적인 비용을 산출하기 위해서 중요한 사항 중의 하나이다. 기존의 비열등성 시험에서 표본 수 계산방법에는 t 검정법을 이용한 모수적 방법이 있고, Wilcoxon 순위합 검정을 이용하여 Wang 등 (2003)이 제안한 표본 수 계산방법을 Kim과 Kim (2007)이 비열등성 시험에 확장시켜 적용하여 제시한 비모수적 방법이 있다. 본 논문에서는 Orban과 Wolfe (1982)가 제안한 선형위치통계량의 검정법에 Kim (1994)이 계산한 검정력의 결과를 이용한 표본 수 계산 방법을 제안하고, 그에 따른 표본 수 계산결과를 기존에 제시된 표본 수 계산 결과와 비교하였다. 그 결과 기존의 방법들보다 본 논문에서 제안하는 방법으로 계산한 경우의 표본 수가 가장 작게 나왔다. 따라서 모집단에 대해서 구체적인 분포함수를 가정하기 힘든 경우 모수적 방법을 이용하게 되면 검정력이 떨어지거나 유의수준을 제어하지 못하는 문제점을 보완하고, 모수적 방법에 비해 표본 수가 크게 나와 시간이나 비용 면에서 효율적이지 않았던 Wilcoxon 순위합 검정을 이용한 방법의 단점을 보완할 수 있는 방법으로 본 논문에서 제시한 위치 (placement)를 이용한 표본 수 계산이 이용될 수 있다.

대한치주과학회지에 게재된 논문의 통계방법 평가(2000-2006) (Evaluation of statistical methods in the Journal of Korean Academy of Periodontology published from 2000 to 2006)

  • 김양중;장현선;김병옥
    • Journal of Periodontal and Implant Science
    • /
    • 제39권4호
    • /
    • pp.399-405
    • /
    • 2009
  • Purpose: This article is purposed to present the correct statistic method by pointing out the statistical errors after analyzing the method of articles that were published in Korean Academy Journal of Periodontology and made statistic processes in them. Methods: 488 science papers which being put in Korean Academy Journal of Periodontology published from 2000 to 2006 was divided according to year. Results: In the 308 articles that applied statistic methods, 59 articles (50.0%), the largest portion of all, were included the case that applied incorrect parametric statistic method when needed to apply parametric statistics and 38 articles (32.2%) were included in the case that applied incorrect parametric statistic method when needed to apply non-parametric statistics. Conclusions: It is necessary to present the cases of inappropriate statistical methods in order to improve the quality of academic researches. Also, to apply adequate methods of statistics, it is suggested to report the articles periodically which are comparing and analyzing the statistical methods that are applied in the international articles in periodontal field.

지반구조물의 정량적인 계측관리를 위한 평가프로그램 개발 (The development of Evaluation Program for the Quantitatively Instrumentation Management of Geotechnical Structures)

  • 김용수;윤해범
    • 한국지반신소재학회논문집
    • /
    • 제11권4호
    • /
    • pp.71-77
    • /
    • 2012
  • 본 연구에서는 지반구조물에서 수집된 계측데이터를 대상으로 확률통계적 방법을 사용한 상태평가를 위한 분석기법과 자동화 프로그램을 개발하였다. 복잡한 지반구조물에 설치한 계측시스템으로부터 수집된 계측자료의 평가를 위해서는 자료처리(data driven) 기반의 비모수적(non-parametric) 모델링 방법이 유용할 것으로 판단된다. 실제 지반구조물(보강토옹벽 및 터널)에서 수집된 센싱 데이터를 이용하여 개발된 평가기법의 검증을 실시한 결과 환경적 요인과는 구별되는 구조적 거동을 확인할 수 있었다.

Behavior of symmetrically haunched non-prismatic members subjected to temperature changes

  • Yuksel, S. Bahadir
    • Structural Engineering and Mechanics
    • /
    • 제31권3호
    • /
    • pp.297-314
    • /
    • 2009
  • When the temperature of a structure varies, there is a tendency to produce changes in the shape of the structure. The resulting actions may be of considerable importance in the analysis of the structures having non-prismatic members. Therefore, this study aimed to investigate the modeling, analysis and behavior of the non-prismatic members subjected to temperature changes with the aid of finite element modeling. The fixed-end moments and fixed-end forces of such members due to temperature changes were computed through a comprehensive parametric study. It was demonstrated that the conventional methods using frame elements can lead to significant errors, and the deviations can reach to unacceptable levels for these types of structures. The design formulas and the dimensionless design coefficients were proposed based on a comprehensive parametric study using two-dimensional plane-stress finite element models. The fixed-end actions of the non-prismatic members having parabolic and straight haunches due to temperature changes can be determined using the proposed approach without necessitating a detailed finite element model solution. Additionally, the robust results of the finite element analyses allowed examining the sources and magnitudes of the errors in the conventional analysis.

산업단지 유형에 따른 교통사고 특성 비교 분석 (Comparative analysis of Traffic Accidents Characteristics using Various Types of Industrial Complexes)

  • 이유화;정병철
    • 한국도로학회논문집
    • /
    • 제19권6호
    • /
    • pp.201-212
    • /
    • 2017
  • PURPOSES : The objective of this study is to identify the characteristics affecting traffic accidents that have occurred in 564 industrial complexes nationwide from 2011 to 2015. METHODS : The traffic accidents were specified using various factors such as industrial complex type (national VS. general), industrial complex degradation (old VS. non-old), location of complex (capital VS. non-capital), and traffic law violation (speeding, signal violation, and median invasion). The average number of crashes and accident ratio (fatal, severe, and both) in terms of characteristics of industrial complexes were calculated. With a sample of crashes of the industrial complexes for 5 years, statistical significances were tested to analyze and compare the differences based on industrial complex and traffic law characteristics using parametric and non-parametric methods. RESULTS : From statistical results, it is observed that the crash frequency occurring in old industrial complexes is three times higher than that in non-old industrial complexes. Old industrial complexes located in a capital area, old national industrial complexes, and old general industrial complexes are considerably related to higher crash frequency, but the fatal accident ratio appeared to have no statistical difference across industrial complex characteristics. Severe crashes are more likely to occur in non-old industrial complexes on an average. CONCLUSIONS : It is necessary to eliminate potential threats to roads and traffic in the same manner as illegal parking in industrial complexes through the restoration of old industrial complexes. To improve the efficiency of road infrastructure, efforts should be made to improve traffic safety in accordance with industrial characteristics such as planning and operation of relevant local government programs.

모의실험에 의한 온실가스 인벤토리 불확도 산정을 위한 지수분포 신뢰구간 추정방법 (Estimation of confidence interval in exponential distribution for the greenhouse gas inventory uncertainty by the simulation study)

  • 이영섭;김희경;손덕규;이종식
    • Journal of the Korean Data and Information Science Society
    • /
    • 제24권4호
    • /
    • pp.825-833
    • /
    • 2013
  • 온실가스 인벤토리 불확도 산정을 위해서는 인벤토리의 신뢰구간 추정이 필수적이다. 일반적으로 모수에 대한 신뢰구간 추정시에는 모집단이 정규분포를 따른다고 가정한다. 그러나 자료의 구조가 복잡해짐에 따라 정규분포가 아닌 비대칭형 자료, 즉 양의 왜도를 갖는 자료의 경우 기존의 정규분포를 가정한 신뢰구간 추정 방식은 적합하지 않다. 본 연구에서는 비대칭형 분포인 지수분포의 신뢰구간추정 방법으로 모수적인 방법과 비모수적인 방법에 대해 각각 비교분석하였다. 모의실험을 통한 신뢰구간 추정 결과를 바탕으로 범위확률, 신뢰구간 길이, 상대적 편의를 비교한 결과 모수적 방법 중에서 예상했던 대로 정확한 방법인 카이제곱방법이 신뢰계수와 유사한 범위확률을 보이고 상대적 편의도 작아 모수적 방법 중에서 신뢰구간 추정에 가장 적합한 것으로 나타났다. 마찬가지로 비모수적 방법 중에서는 표준화된 t-붓스트랩 방법이 가장 적합한 것으로 나타났다.

Estimating survival distributions for two-stage adaptive treatment strategies: A simulation study

  • Vilakati, Sifiso;Cortese, Giuliana;Dlamini, Thembelihle
    • Communications for Statistical Applications and Methods
    • /
    • 제28권5호
    • /
    • pp.411-424
    • /
    • 2021
  • Inference following two-stage adaptive designs (also known as two-stage randomization designs) with survival endpoints usually focuses on estimating and comparing survival distributions for the different treatment strategies. The aim is to identify the treatment strategy(ies) that leads to better survival of the patients. The objectives of this study were to assess the performance three commonly cited methods for estimating survival distributions in two-stage randomization designs. We review three non-parametric methods for estimating survival distributions in two-stage adaptive designs and compare their performance using simulation studies. The simulation studies show that the method based on the marginal mean model is badly affected by high censoring rates and response rate. The other two methods which are natural extensions of the Nelson-Aalen estimator and the Kaplan-Meier estimator have similar performance. These two methods yield survival estimates which have less bias and more precise than the marginal mean model even in cases of small sample sizes. The weighted versions of the Nelson-Aalen and the Kaplan-Meier estimators are less affected by high censoring rates and low response rates. The bias of the method based on the marginal mean model increases rapidly with increase in censoring rate compared to the other two methods. We apply the three methods to a leukemia clinical trial dataset and also compare the results.

야전 치명고장자료를 이용한 함정전투체계 신뢰성 분석 및 활용 방안 (A Study of Reliability Analysis and Application on Naval Combat System Using Field Critical Failure Data)

  • 김영진;오현승;최봉완
    • 산업경영시스템학회지
    • /
    • 제39권4호
    • /
    • pp.49-59
    • /
    • 2016
  • Naval combat system developed in-country is progressing at an alarming rate since 2000. ROK navy will be achieved all vessels that have combat system in the near future. The importance of System Engineering and Integrated Logistics Support based on reliability analysis is increasing. However, reliability analysis that everyone trusted and recognized is not enough and applied practically for development of Defense Acquisition Program. In particular, Existing Reliability Analysis is focusing on reliability index (Mean Time Between Failure (MTBF) etc.) for policy decision of defense improvement project. Most of the weapon system acquisition process applying in the exponential distribution simply persist unreality due to memoryless property. Critical failures are more important than simple faults to ship's operator. There are no confirmed cases of reliability analysis involved with critical failure that naval ship scheduler and operator concerned sensitively. Therefore, this study is focusing on Mean Time To Critical Failure (MTTCF), reliability on specific time and Operational Readiness Float (ORF) requirements related to critical failure of Patrol Killer Guided missile (PKG) combat system that is beginning of naval combat system developed in-country. Methods of analysis is applied parametric and non-parametric statistical techniques. It is compared to the estimates and proposed applications. The result of study shows that parametric and non-parametric estimators should be applied differently depending on purpose of utilization based on test of normality. For the first time, this study is offering Reliability of ROK Naval combat system to stakeholders involved with defense improvement project. Decision makers of defense improvement project have to active support and effort in this area for improvement of System Engineering.

Computer용 Monitor에 대한 신뢰성 예측.확인 방법의 응용 (A Study on A, pp.ication of Reliability Prediction & Demonstration Methods for Computer Monitor)

  • 박종만;정수일;김재주
    • 품질경영학회지
    • /
    • 제25권3호
    • /
    • pp.96-107
    • /
    • 1997
  • The recent stream to reliability prediction is that it is totally inclusive in depth to consider even the operating and environmental condition at the level of finished goods as well as component itselves. In this study, firstly we present the reliability prediction methods by entire failure rate model which failure rate at the system level is added to the failure rate model at the component level. Secondly we build up the improved bases of reliability demonstration through a, pp.ication of Kaplan-Meier, Cumulative hazard, Johnson's methods as non-parametric and Maximum Likelihood Estimator under exponential & Weibull distribution as parametric. And also present the methods of curve fitting to piecewise failure rate under Weibull distribution, PRST (Probability Ratio Sequential Test), curve fitting to S-shaped reliability growth curve, computer programs of each methods. Lastly we show the practical for determination of optimal burn-in time as a method of reliability enhancement, and also verify the practical usefulness of the above study through the a, pp.ication of failure and test data during 1 year.

  • PDF