• Title/Summary/Keyword: Mann-Whitney test.

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DISTRIBUTiON-FREE TWO-SAMPLE TEST ON RANKED-SET SAMPLES

  • DONG HEE KIM;YOUNG CHEOL KIM;MYUNG HWA CHO
    • 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.

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Comparative study of the carbon emissions in the construction phase for different building usages: a case study of apartments and schools (시공단계 탄소배출량의 건축물 용도별 차이 검정: 아파트와 학교를 중심으로)

  • Kang, Seo-Kyoung;Kang, Goune;Yoo, Wi Sung;Cho, Hunhee;Kang, Kyung-In
    • 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.

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TWO-SAMPLE COMPARISON USING SIGN TEST ON RANKED-SET SAMPLES

  • Kim, Dong-Hee;Kim, Young-Cheol
    • 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).

A Study on Personality and Ordinary Symptoms according to Soyangin's Major Constitutional Medicine (소양인(少陽人) 주요(主要) 처방(處方) 간의 성격(性格) 및 소증(素證) 차이(差異)에 관한 연구(硏究))

  • Kim, Seong-Tae;Choi, Ae-Ryun
    • 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.

A Study on the Psychological Characteristics of Sasang Constitution with TAS-20K (TAS-20K를 이용한 사상체질의 심리적 특징에 대한 연구)

  • Kim Gwang-Ho;Kim Bo-Gyun;Kim Jong-Woo;Whang Wei-Wan
    • 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.

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Test Statistics for Volume under the ROC Surface and Hypervolume under the ROC Manifold

  • Hong, Chong Sun;Cho, Min Ho
    • 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.

The Effect of Abdominal Massage on Sleep Colonoscopy Subjects (수면 대장내시경 검진자에게 시행한 복부마사지의 효과)

  • Lee, Yun-Jeong;Je, Nam-Joo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.6
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    • pp.410-420
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    • 2019
  • The purpose of this study is to investigate the effect of abdominal massage, on abdominal bloating and the recovery of bowel movement after sleep colonoscopy. The study design is the time difference before and after the non-equality control. The subjects were 22 patients each in experimental group and control group who recieved sleep colonoscopy at the G hospital in C city, The data collection period was from June 1, 2018 to August 25, 2018, and the control group's data were first collected with time difference from the collection of experimental group's data to prevent the spread of the experiment. Data were analyzed using IBM SPSS 24.0 and tested by independent sample t-test, $x^2-test$ and Fisher's exact probability test to verify the homogeneity of general characteristics of the subjects. Shapiro-Wilk was used to verify the normality of the abdominal circumference changes in the experimental and control groups. Mann-Whitney U test was used to verify the pre-homogeneity of the abdominal circumference of the subjects. The experimental results were verified by Fisher's exact probability test, Friedman test and Mann-Whitney U test. These results suggest that the abdominal massage can be used as a nursing intervention after sleep colonoscopy by reducing the gas discharge time($x^2=19.75$, p<.001) and abdominal bloating($x^2=29.93$, p<.001).

Combining Independent Permutation p Values Associated with Mann-Whitney Test Data

  • Um, Yonghwan
    • 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.

Sample Size Determination of Univariate and Bivariate Ordinal Outcomes by Nonparametric Wilcoxon Tests (단변량 및 이변량 순위변수의 비모수적 윌콕슨 검정법에 의한 표본수 결정방법)

  • Park, Hae-Gang;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.22 no.6
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    • pp.1249-1263
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    • 2009
  • The power function in sample size determination has to be characterized by an appropriate statistical test for the hypothesis of interest. Nonparametric tests are suitable in the analysis of ordinal data or frequency data with ordered categories which appear frequently in the biomedical research literature. In this paper, we study sample size calculation methods for the Wilcoxon-Mann-Whitney test for one- and two-dimensional ordinal outcomes. While the sample size formula for the univariate outcome which is based on the variances of the test statistic under both null and alternative hypothesis perform well, this formula requires additional information on probability estimates that appear in the variance of the test statistic under alternative hypothesis, and the values of these probabilities are generally unknown. We study the advantages and disadvantages of different sample size formulas with simulations. Sample sizes are calculated for the two-dimensional ordinal outcomes of efficacy and safety, for which bivariate Wilcoxon-Mann-Whitney test is appropriate than the multivariate parametric test.

The Admissibility of Some Nonparametric Tests

  • Li, Seung-Chun
    • Journal of the Korean Statistical Society
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    • v.26 no.2
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    • pp.223-229
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    • 1997
  • It is demonstrated that many standard nonparametric test such as the Mann-Whitney-Wilcoxon test, the Fisher-Yates test, the Savage test and the median test are admissible for a two-sample nonparametric testing problem. The admissibility of the Kruskal-Wallis test is demonstrated for a nonparametric one-way layout testing problem.

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