• Communications for Statistical Applications and Methods
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• v.22 no.3
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• pp.223-232
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• 2015

The area under the ROC curve (AUC), the volume under the ROC surface (VUS) and the hypervolume under the ROC manifold (HUM) are defined and interpreted with probability that measures the discriminant power of classification models. AUC, VUS and HUM are expressed with the summation and integration notations for discrete and continuous random variables, respectively. AUC for discrete two random samples is represented as the nonparametric Mann-Whitney statistic. In this work, we define conditional Mann-Whitney statistics to compare more than two discrete random samples as well as propose that VUS and HUM are represented as functions of the conditional Mann-Whitney statistics. Three and four discrete random samples with some tie values are generated. Values of VUS and HUM are obtained using the proposed statistic. The values of VUS and HUM are identical with those obtained by definition; therefore, both VUS and HUM could be represented with conditional Mann-Whitney statistics proposed in this paper.

• Proceedings of the Korean Institute of Building Construction Conference
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• 2015.05a
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• pp.221-222
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• 2015

Since the input data such as types and quantities of materials cannot be acquired during the planning and designing phases, it is difficult to estimate the carbon emissions from the construction phase. As the materials are closely related to the building usages, an approximate estimation by the usages can be suggested. However, before confirming the estimation, the difference test among the carbon emissions of the building usages should be implemented. This study executed t-test or Mann-Whitney test between apartments and schools. The result of the study statistically verified the significant difference between the carbon emissions of apartments and schools.

• Communications for Statistical Applications and Methods
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• v.5 no.1
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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.

• Communications for Statistical Applications and Methods
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• v.22 no.4
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• pp.377-387
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• 2015

The area under the ROC curve can be represented by both Mann-Whitney and Wilcoxon rank sum statistics. Consider an ROC surface and manifold equal to three dimensions or more. This paper finds that the volume under the ROC surface (VUS) and the hypervolume under the ROC manifold (HUM) could be derived as functions of both conditional Mann-Whitney statistics and conditional Wilcoxon rank sum statistics. The nullhypothesis equal to three distribution functions or more are identical can be tested using VUS and HUM statistics based on the asymptotic large sample theory of Wilcoxon rank sum statistics. Illustrative examples with three and four random samples show that two approaches give the same VUS and $HUM^4$. The equivalence of several distribution functions is also tested with VUS and $HUM^4$ in terms of conditional Wilcoxon rank sum statistics.

• Journal of the Korean Statistical Society
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• v.27 no.4
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• pp.435-449
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• 1998

In this paper, we consider the problem of constructing the lower cofidence intervals for the reliability P(X < Y z,w), where the stress X and the strength Y are the random variables with explanatory variables z and w, respectively. As an estimator of the reliability, a Mann-Whitney type statistic is considered. It is shown that under regularity conditions, the proposed estimator is asymptotically normal. Based on the result, the distribution free lower confidence intervals are constructed.

• Journal of applied mathematics & informatics
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• v.5 no.1
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• pp.263-268
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• 1998

This paper proposes the two-sample comparison us-ing sign test based on ranked-set sample(RSS). We investigate the asymptotic properties of the proposed test statistic and compare the asymptotic relative efficiencies of the proposed test statistic with re-spect to Mann-Whitney-Wilcoxon test statistic based on RSS and Mann-Whitney-Wilcoxon test statistic based on the simple random sample(SRS).

• Journal of Oriental Neuropsychiatry
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• v.11 no.2
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• pp.113-122
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• 2000

In order to understand the psychological charateristics of Sasang Constitution. the Korean version of 20-item Toronto Alexithymia Scale(TAS-20K) was completed by 59 sixth grade students of oriental medical college of KyungHee university who defined as one of Sasang constitution from June 2000 to August, and the mean scores of Yangin versus Eumin and Sasang constitution on TAS-20K was compared. The results of this study were as follows.1. Comparison between male and female on Means of TAS-20K ScoreMann-Whitney U test detected no significant differences between mean ranks of TAS-20K scores of male and those of female in F1, F2 and Total, but significant difference in F3(Mann-Whitney U test, t=2.493. p=.018)2. Comparison between Yangin and Eumin on Means of TAS-20K ScoreMann-whitney U test detected no significant differences between mean ranks of TAS-20K scores of Yangin and those of Eumin in F1. F3 and Total, but significant difference in F2(Mann-Whitney U test. t=-2.805. p=.008)3. Comparison among Sasang constitution on Means of TAS-20K ScoreAlthough mean of TAS-20K score of Taeyangin. Soyangin and Soeumin, there were no significant differences among Sasang constitution in F1, F2 and F3 as well as Total when mean ranks of TAS-20K scores of Sasang constitution were compaed by one-way ANOVA.

• Journal of Sasang Constitutional Medicine
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• v.26 no.1
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• pp.82-97
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• 2014

Objectives The purpose of this study was to survey the Personality and Ordinary Symptoms of Soyangin and to compare the tendency of their personality and symptoms according to Soyangin's major prescription. Methods 331 Soyangin's personality and ordinary symptoms data registered to SCIB(Sasang Constitutional Information Bank) were used. All data were analyzed with Chi square test. Some data were ranked and analyzed with Kruskal-Wallis test and Mann-Whitney test(with Bonferroni correction). Chi square and Kruskal-Wallis test's significant P value was 0.05. Mann-Whitney test's significant P value was 0.005. Results & Conclusions In Chi square test, there is difference in personality and symptoms in Soyangin's major prescription as followed, the degree of masculinity and femininity, the degree of patience, the condition of stool, the degree of appetite, good or bad in digesting, amount of meal, the speed of eating, amount of drinking water, the temperature of drinking water, coldness and hotness in abdomen or not. In Kruskal-Wallis test and Mann-Whitney test, Yanggyuksanhwa-tang is more masculine than Dokhwaljihwang-tang, Hyeongbangsabaek-san, Hyeongbangjihwangtang. Dokhwaljihwang-tang is less appetite than Yanggyuksanhwa-tang and Hyeongbangsabaek-san. Yanggyuksanhwa- tang is more fast in eating than Hyeongbangjihwang-tang.

• Journal of the Korea Society of Computer and Information
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• v.23 no.7
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• pp.99-104
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• 2018

In this paper, we compare Fisher's continuous method with an exact discrete analog of Fisher's continuous method from permutation tests for combining p values. The discrete analog of Fisher's continuous method is known to be adequate for combining independent p values from discrete probability distributions. Also permutation tests are widely used as alternatives to conventional parametric tests since these tests are distribution-free, and yield discrete probability distributions and exact p values. In this paper, we obtain permutation p values from discrete probability distributions using Mann-Whitney test data sets (real data and hypothetical data) and combine p values by the exact discrete analog of Fisher's continuous method.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.27 no.2
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• pp.29-36
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• 2004

As Lately movie industry and related market becomes larger and people have had more spare time, people's interest in multiplex grows higher, This paper studies relationships between physical service environment and customer's satisfaction in multiplex. The number of subjects in this study is 346 persons stayed at four multiplexes, among which we obtained valid responses from 326 persons through questionnaire investigation. We held hypotheses for the relationships, and for the testing, used methods are Spearman's correlation, Mann-Whitney test, etc, and for statistical analysis, SPSS 10.1 software was used. Thus, we found statistically significant results, that is, the relation between physical service environment and customer's satisfaction is positive: the higher evaluation about physical service environment is, the more customer's universal satisfaction is. Information about the significant relation's intensity of many indicators in physical service environment, which is given in this paper, can be used for attaining higher customer satisfaction and spreading more effective management activities in multiplex.