• 제목/요약/키워드: Non-parametric statistical analysis

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

  • 이유화;정병철
    • 한국도로학회논문집
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    • 제19권6호
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    • pp.201-212
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    • 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.

품질경영학회 50주년 특별호: 통계적 기법 분야 연구 리뷰 (Literature Review on the Statistical Methods in KSQM for 50 Years)

  • 임용빈;김상익;이상복;장대흥
    • 품질경영학회지
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    • 제44권2호
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    • pp.221-244
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    • 2016
  • Purpose: This research reviews the papers, published in the Journal of the Korean Society for Quality Control (KSQC) and the Journal of the Korean Society for Quality Management (KSQM) since 1965, in the area of statistical methods. The literature review is performed in the four fields of the statistical methods and we categorize the published articles into the several sub-areas in each field. Methods: The reviewed articles are classified into the four main categories: probability model and estimation, Bayesian analysis and non-parametric analysis, regression and time series analysis, and application of data analysis. We examine the contents and relationships of the published articles of the several sub-areas in each category. Results: We summarize the reviewed papers in the chronological road-maps for each sub-area, and outline the relations of the connected papers. Some comments on the contents and the contributions of the reviewed papers are also provided in this paper. Conclusion: Various issues are employed and published on the research of the application statistical methods for past 50 years, and many worthy works are achieved in the theory and application areas of statistical methods for improving quality in the manufacturing and service industries. The future direction of the research in the statistical quality management methods also can be explored by the contents of this research.

모수, 비모수, 베이지안 출산율 모형을 활용한 합계출산율 예측과 비교 (A comparison and prediction of total fertility rate using parametric, non-parametric, and Bayesian model)

  • 오진호
    • 응용통계연구
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    • 제31권6호
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    • pp.677-692
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    • 2018
  • 최근 2017년 우리나라 합계출산율은 1.05명로 2005년 1.08명 수준으로 회귀하는 현상을 보이고 있다. 1.05명은 인구대체선(2.1명), 안전선(1.5명)과도 거리가 먼 초저출산 수준이고 마치 초저출산 덫에 빠질 우려가 있다. 이에 합계출산율의 합리적인 예측과 이를 통한 출산정책에 유용한 자료를 제공하는 것은 그 어느 때 보다도 중요하다. 그 동안 다양한 통계적 방법으로 합계출산율 추이를 예측하였는데, 데이터 완비성이 높고 품질이 좋은 경우 모형 접근인 모수적 방법, 데이터 추이가 단절되거나 변동이 심한 경우 평활과 가중치를 적용한 비모수적 방법, 데이터 부족과 품질 등으로 선진국의 출산율 3단계 전이현상을 참고하여 이들의 사전분포를 활용하는 베이지안 방법 등이 적용되어 왔다. 본 연구는 최근 변동이 심한 우리나라 출산율에 모수, 비모수, 그리고 베이지안 방법을 적용하여 추정과 예측을 실시하고 도출된 결과 비교를 통해 적합성과 타당성 측면에서 어떤 방법이 합리적인지 모색하고자 한다. 분석결과 합계출산율 예측값 순위는 통계청 합계출산율이 가장 높고, 베이지안, 모수, 비모수 순으로 나타났다. 2017년 TFR 1.05명 수준을 감안할 때 모수, 비모수모형으로 도출된 합계출산율 예측값이 합리적이다. 또한 출산율 자료완비성이 높고 품질이 우수할 경우 계산 효율성과 적합도 관점에서 모수적 추정과 예측 접근 방법이 타 방법보다 우수한 것으로 도출되었다.

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
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    • 제39권4호
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    • pp.49-59
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    • 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.

An elaboration on sample size determination for correlations based on effect sizes and confidence interval width: a guide for researchers

  • Mohamad Adam Bujang
    • Restorative Dentistry and Endodontics
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    • 제49권2호
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    • pp.21.1-21.8
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    • 2024
  • Objectives: This paper aims to serve as a useful guide for sample size determination for various correlation analyses that are based on effect sizes and confidence interval width. Materials and Methods: Sample size determinations are calculated for Pearson's correlation, Spearman's rank correlation, and Kendall's Tau-b correlation. Examples of sample size statements and their justification are also included. Results: Using the same effect sizes, there are differences between the sample size determination of the 3 statistical tests. Based on an empirical calculation, a minimum sample size of 149 is usually adequate for performing both parametric and non-parametric correlation analysis to determine at least a moderate to an excellent degree of correlation with acceptable confidence interval width. Conclusions: Determining data assumption(s) is one of the challenges to offering a valid technique to estimate the required sample size for correlation analyses. Sample size tables are provided and these will help researchers to estimate a minimum sample size requirement based on correlation analyses.

일회용품의 신뢰성분석 방안 (Reliability analysis methods to one-shot device)

  • 백재욱
    • 산업진흥연구
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    • 제7권4호
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    • pp.1-8
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    • 2022
  • 우리 주위를 살펴보면 한 번 사용하고 버리는 일회용품이 많다. 폭죽이나 탄약과 같은 일회용품이 대표적인데 이들 일회용품은 제조 후 한 동안 저장되어 있다가 필요한 때 사용하고 나면 폐기처분하게 된다. 하지만 이런 일회용품은 일반 운영장비와 달리 신뢰성평가가 제대로 이루어지지 못했다. 이에 본 연구에서는 일회용품 중에서 탄약에 대한 저장탄약신뢰성프로그램을 통해 탄약의 경우 신뢰성 확보를 위해 정부에서 어떤 일을 하는지 먼저 살펴본다. 이어서 통계분석적인 측면에서 탄약과 같은 일회용품에 대한 신뢰성분석 방안으로 어떤 것이 있는지 알아본다. 구체적으로 통계학에서 로트의 품질수준을 파악하는 샘플링검사를 활용하여 일정한 시기에 생산된 탄약에 대한 신뢰성의 수준을 파악할 수 있다. 본 연구에서는 KS Q0001인 계수규준형 1회 샘플링검사표를 이용할 수 있음으로 보여준다. 다음으로 탄약의 저장신뢰도를 파악할 수 있는 방법으로 비모수적인 방법과 모수적인 방법을 소개한다. 비모수적인 방법중에서 특히 Kaplan-Meier 방법은 중도중단데이터가 포함된 경우에도 활용될 수 있다. 마지막으로 모수적인 방법 중에는 신뢰성분석에 많이 활용되는 와이블분포가 탄약의 저장신뢰도를 파악하는 데에도 활용될 수 있다.

비모수통계방법을 이용한 원자력발전소 작업자 반복성 고피폭작업 도출 (Use of Non-Parametric Statistical Method in Identifying Repetitive High Dose Jobs in a Nuclear Power Plant)

  • Young-Ho Cho;Young-Hoi Herr
    • 방사성폐기물학회지
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    • 제2권1호
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    • pp.41-51
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    • 2004
  • 원전 작업자 방사선량의 효과적인 저감을 위해서는 발전소 내에 축적된 작업자 피폭선량자료들을 분석하는 것이 반드시 필요하다. 자료의 분석을 통해, 발전소에서 수행되는 방사선작업들 중 반복적으로 고피폭을 유발하는 작업들을 파악하는 것이 필요하며, 본 연구에서는 이러한 반복성고피폭작업들을 도출하기 위한 방법론으로 백분위수 순위합 방법을 제안한다. 이는 비모수통계학 이론에 근거한 방법론으로, 본 연구에서는 이 방법을 이용하여 고리 3,4 호기 작업자 피폭선량 자료를 분석, 고피폭작업들을 도출하였다. 도출 결과는 통계적으로 검증되며, 그 결과 백분위수 순위합 방법의 효과 및 타당성을 입증하였다.

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수리 변동에 따른 영산강에서의 수질 변화 분석 연구 (Analysis of Water Quality Variation after Hydraulic Changes in Yeongsan River)

  • 김유흔;이혜원;최정현
    • 한국물환경학회지
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    • 제38권1호
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    • pp.1-9
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    • 2022
  • The Yeongsan River, one of the four major rivers in Korea, shows the highest degree of water pollution compared to the other major rivers. The construction and opening of two weirs, Seungchon and Juksan, induced fluctuations in the hydrologic conditions and water quality of the river. To investigate the water quality changes caused by the opening of the weir in 2017, this study analyzed the water quality data using the non-parametric Wilcoxon signed-rank test and the three-dimensional spatiotemporal plots. The non-parametric statistical test results showed that the concentration of all parameters has increased after 2017 at a significance level of 0.05. For the parameters that showed the highest degree of change, chlorophyll-a and suspended solids, the median values have increased by more than 30% after weir opening. Visual analysis additionally showed the spatial changes in the Yeongsan River. Generally, the sites above the Seungchon weir showed higher pollution levels than those above the Juksan weir. In time series, visual analysis results also showed the trend of rising concentration for all water quality parameters, indicating that the opening of two weirs had a significant effect on the change in water quality of the Yeongsan River.

주성분분석법을 이용한 사면 상태 평가 (Evaluation of Slope Condition using Principal Component Analysis)

  • 정수정;김태형;강기민;이영준
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2010년도 추계 학술발표회
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    • pp.416-422
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    • 2010
  • Estimating condition of geotechnical structures are difficult because of nonlinear time dependency and seasonal effects. Measuring data of structure failure is highly variable in time and space, and a unique approach cannot be defined to model structure movements. Characteristics of movements are obtained by using a statistical method called Principal Component Analysis(PCA). The PCA is a non-parametric method to separate unknown, statistically uncorrelated source processes from observed mixed processes. Instead, since the "best" mathematical relationship is estimated for given data sets of the input and output measured from target systems. As a consequence, this method is advantageous in modeling systems whose geomechanical properties are unknown or difficult to be measured.

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A comparison of tests for homoscedasticity using simulation and empirical data

  • Anastasios Katsileros;Nikolaos Antonetsis;Paschalis Mouzaidis;Eleni Tani;Penelope J. Bebeli;Alex Karagrigoriou
    • Communications for Statistical Applications and Methods
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    • 제31권1호
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    • pp.1-35
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    • 2024
  • The assumption of homoscedasticity is one of the most crucial assumptions for many parametric tests used in the biological sciences. The aim of this paper is to compare the empirical probability of type I error and the power of ten parametric and two non-parametric tests for homoscedasticity with simulations under different types of distributions, number of groups, number of samples per group, variance ratio and significance levels, as well as through empirical data from an agricultural experiment. According to the findings of the simulation study, when there is no violation of the assumption of normality and the groups have equal variances and equal number of samples, the Bhandary-Dai, Cochran's C, Hartley's Fmax, Levene (trimmed mean) and Bartlett tests are considered robust. The Levene (absolute and square deviations) tests show a high probability of type I error in a small number of samples, which increases as the number of groups rises. When data groups display a nonnormal distribution, researchers should utilize the Levene (trimmed mean), O'Brien and Brown-Forsythe tests. On the other hand, if the assumption of normality is not violated but diagnostic plots indicate unequal variances between groups, researchers are advised to use the Bartlett, Z-variance, Bhandary-Dai and Levene (trimmed mean) tests. Assessing the tests being considered, the test that stands out as the most well-rounded choice is the Levene's test (trimmed mean), which provides satisfactory type I error control and relatively high power. According to the findings of the study and for the scenarios considered, the two non-parametric tests are not recommended. In conclusion, it is suggested to initially check for normality and consider the number of samples per group before choosing the most appropriate test for homoscedasticity.