• Title/Summary/Keyword: K-S검정

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Comparisons of Kruglyak and Lander's Nonparametric Linkage Test and Weighted Regression Incorporating Replications (KRUGLYAK과 LANDER의 유전연관성 비모수 방법과 반복 자료를 고려한 가중 회귀분석법의 비교)

  • Choi, Eun-Kyeong;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.21 no.1
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    • pp.1-17
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    • 2008
  • The ordinary least squares regression method of Haseman and Elston(1972) is most widely used in genetic linkage studies for continuous traits of sib pairs. Kruglyak and Lander(1995) suggested a statistic which appears to be a nonparametric counterpart to the Haseman and Elston(1972)'s regression method, but in fact these two methods are quite different. In this paper the relationships between these two methods are described and will be compared by simulation studies. One of the characteristics of the sib-pair linkage study is that the explanatory variable has only three different values and thus dependent variable is heavily replicated in each value of the explanatory variable. We propose a weighted least squares regression method which is more appropriate to this situation and the efficiency of the weighted regression in genetic linkage study was explored with normal and non-normal simulated continuous traits data. Simulation studies demonstrated that the weighted regression is more powerful than other tests.

Note on the Equality of Variances in Two Sample t-Test (두 집단 평균 차이 검정에서 분산의 동질성에 관한 소고)

  • Kim, Sang-Cheol;Lim, Jo-Han
    • Communications for Statistical Applications and Methods
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    • v.17 no.1
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    • pp.79-88
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    • 2010
  • Introductory statistic class proposes two tests for the equality of two population means according to the homogeneity of their variances. However, in practice, the variances are also unknown and practitioners often test their homogeneity before they do two sample t-test. This is also true in many popular statistical packages such as SAS and SPSS. In this paper, we study the type I error of this two stage procedure and propose a procedure to control it at a given significance level.

A goodness-of-fit test for exponentiality with censored samples (중도절단 표본의 지수분포성 적합도 검정을 위한 새로운 통계량)

  • 김부용
    • The Korean Journal of Applied Statistics
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    • v.6 no.2
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    • pp.289-302
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    • 1993
  • A goodness-of-fit test for the two-parameter exponential distribution, for use with the singly Type I and Type II right censored samples, is proposed. The test statistic is based on the $L_1$-norm of discrepancy between the cumulative distribution function and the empirical distribution function. To deal with the unknown parameters problem, the K- transformation is considered and modified to be applied to the censored samples. Rosenblatt's transformation is extended to the cases of Type I and Type II censored samples, in order to transform the censored samples into the complete ones. The critial values of the test statistic are obtained by Monte Carlo simulations for some finite sample sizes. The power studies are conducted to compare the proposed test with the Pettitt(1977) test for exponentiality with censored samples. It appears that the proposed test has relatively good power properties for moderate and large sample sizes.

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Modified Test Statistic for Identity of Two Distribution on Credit Evaluation (신용평가에서 두 분포의 동일성 검정에 대한 수정통계량)

  • Hong, C.S.;Park, H.S.
    • The Korean Journal of Applied Statistics
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    • v.22 no.2
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    • pp.237-248
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    • 2009
  • The probability of default on the credit evaluation study is represented as a linear combination of two distributions of default and non-default, and the distribution of the probability of default are generally known in most cases. Except the well-known Kolmogorov-Smirnov statistic for testing the identity of two distribution, Kuiper, Cramer-Von Mises, Anderson-Darling, and Watson test statistics are introduced in this work. Under the assumption that the population distribution is known, modified Cramer-Von Mises, Anderson-Darling, and Watson statistics are proposed. Based on score data generated from various probability density functions of the probability of default, the modified test statistics are discussed and compared.

A Study On Variance Estimation in Smoothing Goodness-of-Fit Tests (평활 적합도 검정에서의 분산추정의 영향)

  • Yoon, Yong-Hwa;Kim, Jong-Tae;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.189-202
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    • 1998
  • The goat of this paper is to study on variance estimation - Rice variance estimation, Gasser, Sroka and Jennen-Steinmetz's varince estimation - in smoothing goodness-of-fit tests. The comparisons of powers on test statistics are conducted by the change of variance, the number of oscillations, the amplitude of the alternative sample distribution.

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A Study of Test Method Improvement for Master Craftsman (모의평가를 통한 기능장 검정방법 개선연구)

  • Kang, C.S.;Beak, J.G.;Kang, J.E.;Park, J.H.
    • Proceedings of the KAIS Fall Conference
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    • 2012.05a
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    • pp.145-148
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    • 2012
  • 본 논문에서는 기능장 등급의 자격검정시 산업현장의 직무수행 능력을 평가하기 적합한 검정방법을 마련하는데 목적으로 대표적인 4개 종목을 선정하여 기능장 검정방법들로 모의평가하여 검정방법 개선 방안을 제시하였다. 그 결과 2차 실기시험방법과 3차 면접으로 하는 1안을 단일안으로 선정하였고, 이에 따른 영향성을 분석하여 그 결과를 제시하였다. 본 연구결과를 토대로 면접을 추가하여 3차 면접의 단일안의 결과를 얻었지만 사회적인 기능장의 사회적 법적 위상 제고는 반듯이 고려해야 할 것이다.

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The Shapiro-Wilk Type Test for Exponentiality Based on Progressively Type II Censored Data (전진 제 2종 중도절단자료에 대한 Shapiro-Wilk 형태의 지수검정)

  • Kim, Nam-Hyun
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.487-495
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    • 2010
  • This paper develops a goodness of fit test statistic to test if the progressively Type II censored sample comes from an exponential distribution with origin known. The test is based on normalizing spacings and Stephens (1978)' modified Shapiro and Wilk (1972) test for exponentiality. The modification is for the case where the origin is known. We applied the same modification to Kim (2001a)'s statistic, which is based on the ratio of two asymptotically efficient estimates of scale. The simulation results show that Kim (2001a)'s statistic has higher power than Stephens' modified Shapiro and Wilk statistic for almost all cases.

A Robust Test for Location Parameters in Multivariate Data (다변량 자료에서 위치모수에 대한 로버스트 검정)

  • So, Sun-Ha;Lee, Dong-Hee;Jung, Byoung-Cheo
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1355-1364
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    • 2009
  • This work propose a robust test for location parameters in multivariate data based on MVE and MCD with the affine equivariance and the high-breakdown properties. We consider the hypothesis testing satisfying high efficiency and high test power simultaneously to bring in the one-step reweighting procedure upon high-breakdown estimators, which generally suffer from the low efficiency and, as a result, usually used only in the exploratory analysis. Monte Carlo study shows that the suggested method retains nominal significance levels and higher testing power without regard to various population distributions than a Hotelling's $T^2$ test. In an example, a data set containing known outliers does not make an influence toward our proposal, while it renders a Hotelling's $T^2$ useless.

Nonparametric procedures using aligned method and linear placement statistics in randomized block design (랜덤화 블록 계획법에서 정렬방법과 선형위치통계량을 이용한 비모수 검정법)

  • Han, Jinjoo;Kim, Dongjae
    • The Korean Journal of Applied Statistics
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    • v.29 no.7
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    • pp.1411-1419
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    • 2016
  • Nonparametric procedures in randomized block design was proposed by Friedman (1937) as a general alternative. This method is used to find out the difference in treatment effect. It can cause a loss of inter block information using the ranking in each block. This paper proposed nonparametric procedures using an aligned method proposed by Hodges and Lehmann (1962) to reduce block information based on joint placement suggest by Jo and Kim (2013) in a randomized block design. We also compared the power of the test of the proposed procedures and established method through a Monte Carlo simulation.

An Improved Method for Screening Rice Cultivars with Field Resistance to Bacterial Leaf Blight (벼흰빛잎마름병에 대한 포장 저항성의 새로운 검정법)

  • Choi J. E.;Lee D. K.;Seo J. H.;Bae S. H.
    • Korean Journal Plant Pathology
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    • v.1 no.2
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    • pp.115-121
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    • 1985
  • To improve methods of screening rice cultivars with field resistance to bacterial leaf blight, testing plant inoculation and neighbor plant inoculation were compared by using 33 rice cultivars. In the testing plant inoculation method, field resistance was evaluated by measuring the leaf areas diseased on the new leaves expanded after the inoculation. Varietal differences in field resistance were recognized more clearly by the testing plant inoculation method than by the neighbor plant inoculation method. Highly significant correlation was observed between the results of the two methods. Some rice cultivars such as, Seomjin, Hangangchal, Taebaeg, Samgang, Milyang 42, Asominori, Java 14, Chugoku 45 and 70X-46 showed remarkable field resistance to bacterial leaf blight. The testing plant inoculation method appeared desirable for screening rice cultivars for the qualitative and field resistance to bacterial leaf blight because of using less labor and less field area than neighbor plant inoculation.

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