• Journal of applied mathematics & informatics
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• 제3권2호
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• pp.235-244
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• 1996

Ranked-set sampling is useful when measurements are destructive or costly to obtain but ranking of the observations is rel-atively easy. The Wilcoxon signed rank test statistic based on the ranked-set sample is considered. We compared the asymptotic relative efficiencies of the RSS Wilcoxon signed rank test statistics with respect to the SRS Wilcoxon signed rank test statistic and the RSS sign test statistic. Throughout the ARE's the proposed test statistic is superior to the SRS Wilcoxxon signed rank test statistic and the RSS sign test statistic.

• Communications for Statistical Applications and Methods
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• 제6권1호
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• pp.159-168
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• 1999

We introduce a new conditional signed-rank test for the tree alternatives comparing several treatments with a control in the randomized block design. We demonstrate its performance by comparing with 3 classes of signed-rank tests proposed by Park et al.(1991) in some general situations. In most cases the proposed procedure is simpler to compute and has better power than others.

• Communications for Statistical Applications and Methods
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• 제10권2호
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• pp.535-543
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• 2003

A ranked set sample version of the sign test is proposed for testing hypotheses concerning the quantiles of a population characteristic by Kaur, et. al(2002). In this paper, we proposed the ranked set sample Wilcoxon signed rank test for quantiles under equal allocation. We obtain the asymptotic property and the asymptotic relative efficiencies of the proposed test statistic with respect to Wilcoxon signed rank test of simple random sample for quantiles under equal allocation. We calculate the ARE of test statistics, the proposed test statistic is more efficient than simple random sampling for all quantiles. The relative advantage of ranked set sampling is greatest at the median and tapers off in the tails.

• 한국지능시스템학회논문지
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• 제24권6호
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• pp.592-596
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• 2014

We shall consider fuzzy hypotheses test for signed-rank Wilcoxon fuzzy test by fuzzy difference on rate of internal division. Fundamental to these discussion are fuzzy number data and Wilcoxon signed-rank fuzzy test of a fuzzy hypothesis $H_{f0}$ which is based upon a fuzzy statistics whose distribution does not depend upon the specified distribution or any parameters.

• 환경영향평가
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• 제6권1호
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• pp.111-119
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• 1997

This study was carried out to suggest the best statistical test which may be used to quantify the change of water quality between two groups. Traditional t-test may not be used in cases where the normality of underlying population distribution is not assured. Three non-parametric tests which are based on the relative order of the measurements, were studied to find out the applicability in water quality data analysis. The sign test is based on the sign of the deviation of the measurement from the median value, and the binomial distribution table is used. The signed rank test utilizes not only the sign but also the magnitude of the deviation. The Wilcoxon rank-sum test which is basically same as Mann-Whitney test, tests the mean difference between two independent samples which may have missing data. Among the three non-parametric tests studied, the singed rank test was found out to be applicable in the quantification of the change of water quality between two samples.

• 대한수학회보
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• 제24권1호
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• pp.48-48
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• 1987

• 대한수학회보
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• 제21권1호
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• pp.46-46
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• 1984

• Communications for Statistical Applications and Methods
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• 제2권2호
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• pp.198-212
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• 1995

This study provides a nonparametric procedure for the statistical inference of the parameters in stationary autoregressive processes. A confidence region and a hypothesis testing procedure based on a class of signed linear rank statistics are proposed and the asymptotic distributions of the test statistic both underthe null hypothesis and under a sequence of local alternatives are investigated. Some desirable asymptotic properties including the asymptotic relative efficiency are discussed for various score functions.

• 한국항만경제학회지
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• 제24권4호
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• pp.313-327
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• 2008

한국과 일본은 가장 가까운 이웃 나라이면서 한국은 일본의 식민지를 거친 경험을 갖고 있는 논문에서는 Liu(2008)의 슬랙변수모형을 도입하여 이론적으로 설명하고 1994년 및 1995년의 국내 20개 항만의 3개의 산출물(수출입물량, 선박입출항척수, 항만재정수입)과 2개의 투입물(접안능력, 하역능력)을 이용하여 국내항만들의 효율성을 측정한 후에, 양년도간에 모두 효율적인 항만으로 판명된 항만을 제외한 나머지 16개 항만들의 효율성 순위를 이용하여 월콕슨의 부호순위검정을 통해서 슬랙변수모형이 갖고 있는 항만효율성측면의 예측력을 측정하는 방법을 보여 주었다. 또한 동일한 방법으로 다년도(1995년-2003년)분석을 실시하여 항만효율성의 예측력은 어느 정도 되는지를 검정하였다. 다년도(1995-2003년)의 실증분석의 주요한 결과를 요약한다면 "가설검정의 모든 결과는 귀무가설을 기각할 수 없는 것"으로 나타났다. 즉, 예측자료와 실제자료의 차이가 있다고 할 수 없기 때문에, 예측자료가 실제자료를 반영하고 있는 것으로 나타났다. 특히 2000-2001년, 2003-2004년의 유의수준은 60%에 가까운 수준으로 나타나서 예측력이 있는 것으로 나타났으나 1995-1996년, 2002-2003년의 예측력은 낮은 것으로 나타났다. 본 연구의 정책적인 함의는 국내항만들도 슬랙변수모형과 월콕슨부호순위검정방법을 이용하여 차년도의 효율성, 또는 경영성과를 예측하여 제시하는 것도 항만의 효율성을 높일 수 있는 한 가지 방법이 될 수 있다는 점이다.

• Communications for Statistical Applications and Methods
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• 제5권1호
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• pp.133-144
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• 1998

In this paper, we propose the two-sample test statistic using Wilcoxon signed rank test on ranked-set sampling(RSS) and obtain the asymptotic relative efficiencies(ARE) of the proposed test statistic with respect to Mann-Whitney-Wilcoxon statistic on simple random sampling(SRS), the Mann-Whitney-Wilcoxon statistic on RSS, sign statistic on RSS and Wilcoxon signed rank test on SRS. From the simulation works, we compare the powers of the proposed test statistic, Mann-Whitney-Wilcoxon statistic on RSS, the usual two-sample t statistic, sign statistic on RSS, where the underlying distributions are uniform, normal, double exponential, logistic and Cauchy distributions.