• 제목/요약/키워드: non-parametric testing

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Testing the Equality of Several Correlation Coefficients by Permutation Method

  • Um, Yonghwan
    • 한국컴퓨터정보학회논문지
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    • 제27권6호
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    • pp.167-174
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    • 2022
  • 본 논문에서는 여러 개의 독립적인 모집단들 사이에서 상관계수들의 등가성에 대한 퍼뮤테이션 검정을 조사한다. 퍼뮤테이션 검정은 관측값들의 상호교환성에 기초하는 비모수적인 검정 방법이며 상호교환성이란 독립적이고 동일한 확률변수들의 개념을 일반화한 개념이다. 퍼뮤테이션 검정을 사용함으로써 근사적으로 정확한 검정에 가까운 검정을 실시할 수 있다. 퍼뮤테이션 검정은 근사적으로 보수적인 검정만큼의 검정력을 지니며, 표본의 크기가 작거나 정규성 가정이 충족되지 않을 때 유용한 방법이다. 본 논문에서는 먼저 상관계수들의 등가성을 검정하는 모수적인 방법들을 소개하고 이들을 퍼뮤테이션 검정과 비교한다. 끝으로 모든 검정들은 Iris 데이터를 예를 들어 비교된다.

활성대조군을 이용한 두 군 설계와 위약군을 포함한 세 군 설계의 비열등성 시험 (Non-Inferiority Test in a Two-Arm Trial and a Three-Arm Trial Including a Placebo)

  • 이지선;김동재
    • 응용통계연구
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    • 제21권6호
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    • pp.947-957
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    • 2008
  • 비열등성 시험시에 치료군(treatment group)과 활성대조군(active control group)을 이용한 모형으로 Hauschke 등 (1999)이 제안한 모수적 검정법이 있다. 이 방법은 위약군(placebo group)과 직접적인 비교가 불가능하므로 Pigeot 등 (2003)이 세 군으로 확장한 검정법을 제안하였다. 그러나 이와 같은 두 검정법은 구체적인 분포가정이 필요하다. 이런 단점을 보완하기 위하여 본 논문에서는 비모수적 방법으로서 두 군 설계에 Wilcoxon 순위합 검정(Wilcoxon, 1945)을 이용한 방법을, 세 군 설계에 Scheirer 등 (1976)이 제안한 선형대비검정을 확장한 새로운 방법을 제안한다. 또한 모의실험을 통하여 모수적 방법과 비모수적 방법간의 검정력을 비교하였다.

Nonparametric Test for Used Better Than Aged in Convex Ordering Class(UBAC) of Life Distributions with Hypothesis Testing Applications

  • Abu-Youssef, S.E.
    • International Journal of Reliability and Applications
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    • 제10권2호
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    • pp.81-88
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    • 2009
  • A non-parametric procedure is presented for testing exponentially against used better than aged in convex ordering class (UBAC) of life distributions based on u-test. Convergence of the proposed statistic to the normal distribution is proved. Selected critical values are tabulated for sample sizes 5(5)40. The Pitman asymptotic relative efficiency of my proposed test to tests of other classes is studied. An example of 40 patients suffering from blood cancer disease demonstrates practical application of the proposed test.

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Parametric Analysis and Experimental Testing of Radial Flux Type Synchronous Permanent Magnet Coupling Based on Analytical Torque Calculations

  • Kang, Han-Bit;Choi, Jang-Young
    • Journal of Electrical Engineering and Technology
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    • 제9권3호
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    • pp.926-931
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    • 2014
  • This paper presents the torque calculation and parametric analysis of synchronous permanent magnet couplings (SPMCs). Based on a magnetic vector potential, we obtained the analytical magnetic field solutions produced by permanent magnets (PMs). Then, the analytical solutions for a magnetic torque were obtained. All analytical results were extensively validated with the non-linear a two-dimensional (2D) finite element analysis (FEA). In particular, test results such as torque measurements are presented that confirm the analysis. Finally, using the derived analytical magnetic torque solutions, we carried out a parametric analysis to determine the influence of the design parameters on the SPMC's behavior.

A Restricted Partition Method to Detect Single Nucleotide Polymorphisms for a Carcass Trait in Hanwoo

  • Lee, Ji-Hong;Kim, Dong-Chul;Kim, Jong-Joo;Lee, Jea-Young
    • Asian-Australasian Journal of Animal Sciences
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    • 제24권11호
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    • pp.1525-1528
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    • 2011
  • The purpose of this study was to detect SNPs that were responsible for a carcass trait in Hanwoo populations. A non-parametric model applying a restricted partition method (RPM) was used, which exploited a partitioning algorithm considering statistical criteria for multiple comparison testing. Phenotypic and genotypic data were obtained from the Hanwoo Improvement Center, National Agricultural Cooperation Federation, Korea, in which the pedigree structure comprised 229 steers from 16 paternal half-sib proven sires that were born in Namwon or Daegwanryong livestock testing station between spring of 2002 and fall of 2003. A carcass trait, longissimus dorsi muscle area for each steer was measured after slaughter at approximately 722 days. Three SNPs (19_1, 18_4 and 28_2) near the microsatellite marker ILSTS035 on BTA6, around which the quantitative trait loci (QTL) for meat quality were previously detected, were used in this study. The RPM analyses resulted in two significant interaction effects between SNPs (19_1 and 18_4) and (19_1 and 28_2) at ${\alpha}$ = 0.05 level. However, under a general linear (parametric) model no interaction effect between any pair of the three SNPs was detected, while only one main effect for SNP19_1 was found for the trait. Also, under another non-parametric model using a multifactor dimensionality reduction (MDR) method, only one interaction effect of the two SNPs (19_1 and 28_2) explained the trait significantly better than the parametric model with the main effect of SNP19_1. Our results suggest that RPM is a good alternative to model choices that can find associations of the interaction effects of multiple SNPs for quantitative traits in livestock species.

AHP를 이용한 대안 평가의 유의성 분석: 비모수적 통계 검정 적용 (The Significance Test on the AHP-based Alternative Evaluation: An Application of Non-Parametric Statistical Method)

  • 박준수;김성철
    • 한국전자거래학회지
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    • 제22권1호
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    • pp.15-35
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    • 2017
  • 공공사업 타당성 평가나 대안 선정에서는 대부분 AHP 기법을 활용하여 대안별 가중합 방식으로 최종 점수를 산정하고 그 값이 가장 큰 대안을 선택하고 있다. 특히 타당성 분석과 같은 경우에는 최종 점수가 0.5보다 큰 대안을 선택하게 되는데, 그 값이 0.5보다 얼마나 커야 의사결정이 의미있고 설득력있는 판단이라고 할 수 있는지에 대한 합리적인 기준 없이 적용되고 있다. 한국개발연구원(KDI)에서 제시한 방법론에는 사업진행 대안의 종합 점수가 0.5 근처에 있는 경우를 회색 영역으로 구분하여 신중한 결정을 하도록 제시하고 있는데, 세부기준에 관한 이론적 검토는 빈약하다. 반면, 통계적 검정의 개념을 도입하여 시도된 분석사례에서는 가중합 평가 점수의 확률분포로서 정규분포 또는 베타분포를 가정하였으나, 이에 대한 분포적 타당성은 제시되지 않았다. 본 논문에서는 현재 다양한 분야에서 적용되고 있는 가중합 평가 방식의 사례를 검토하여 그 결과의 통계적 검정의 필요성을 제기하고, 통계적 검정을 위하여 특정 분포를 가정하지 않는 비모수적 검정 방법을 제시한다. 그리고 본 연구에서 제시한 방법을 국방 분야의 사례에 적용하고 그 함의와 함께 향후 연구의 발전방향을 제안한다.

On Testing Exponentiality Against NBURFR Class Of Life Distributions

  • Mahmoud, M.A.W.;Abdul Alim, N.A.
    • International Journal of Reliability and Applications
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    • 제4권2호
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    • pp.57-69
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    • 2003
  • A non-parametric test based on U-statistic for testing exponentiality against the new better than used renewal failure rate (NBURFR) alternatives is introduced and the percentiles of this test statistic are tabulated for sample size 5(1)50. Its properties are also discussed including the Pitman asymptotic efficiency relative to the tests of the new better than used and new better than used failure rate (Ahmed (1994) and Hendi (2000)). The powers of this test are also calculated for some used life distributions. An example from blood cancer patients demonstrates a practical application of our test in the medical sciences is presented. Finally the problem when right-censored data is available is handled.

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Experimental and FE simulations of ferrocement columns incorporating composite materials

  • Shaheen, Yousry B.I.;Mahmoud, Ashraf M.;Refat, Hala M.
    • Structural Engineering and Mechanics
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    • 제64권2호
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    • pp.155-171
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    • 2017
  • This paper presents a proposed method for producing reinforced composite concrete columns reinforced with various types of metallic and non metallic mesh reinforcement. The experimental program includes casting and testing of twelve square columns having the dimensions of $100mm{\times}100mm{\times}1000mm$ under concentric compression loadings. The test samples comprise all designation specimens to make comparative study between conventionally reinforced concrete column and concrete columns reinforced with welded steel mesh, expanded steel mesh, fiber glass mesh and tensar mesh. The main variables are the type of innovative reinforcing materials, metallic or non metallic, the number of layers and volume fraction of reinforcement. The main objective is to evaluate the effectiveness of employing the new innovative materials in reinforcing the composite concrete columns. The results of an experimental investigation to examine the effectiveness of these produced columns are reported and discussed including strength, deformation, cracking, and ductility properties. Non-linear finite element analysis; (NLFEA) was carried out to simulate the behavior of the reinforced concrete composite columns. The numerical model could agree the behavior level of the test results. ANSYS-10.0 Software. Also, parametric study is presented to look at the variables that can mainly affect the mechanical behaviors of the model such as the change of column dimensions. The results proved that new reinforced concrete columns can be developed with high strength, crack resistance, and high ductility properties using the innovative composite materials.

Implementation of dynamic visual acuity testing system using optical see through head mounted display

  • Son, Hojun;Yun, Deokyoung;Kim, Jungho;Lee, Seunghyun;Kwon, Soonchul
    • International Journal of Internet, Broadcasting and Communication
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    • 제9권3호
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    • pp.70-77
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    • 2017
  • Dynamic visual acuity is used as an important factor to measure athletic performance in sports field. A study on visual acuity testing system using non-see head mounted display (NST-HMD) was conducted recently. However, the NST-HMD has a problem that the sense of space felt by the subject differs from the actual environment. This is because the view is blocked so that it is only implemented in a virtual space. This paper proposes a dynamic visual acuity testing system using optical see through head mounted display (OST-HMD). To do this, OST-HMD and NST-HMD comparative tests were conducted using existing K-D (King-Devick) charts. Experiments were performed on 30 subjects and their visual acuity was measured and analyzed by parametric statistics and one-sample T-test. The results of the study demonstrate the effectiveness of the proposed OST-HMD. This study is expected to use the visual inspection and training equipment of OST-HMD.

Fuzzy Local Linear Regression Analysis

  • Hong, Dug-Hun;Kim, Jong-Tae
    • Journal of the Korean Data and Information Science Society
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    • 제18권2호
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    • pp.515-524
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    • 2007
  • This paper deals with local linear estimation of fuzzy regression models based on Diamond(1998) as a new class of non-linear fuzzy regression. The purpose of this paper is to introduce a use of smoothing in testing for lack of fit of parametric fuzzy regression models.

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