• Journal of Korean Society of Transportation
• /
• v.20 no.6
• /
• pp.81-98
• /
• 2002

본 연구는 Wilcoxon Rank Sum Test 기법을 이용한 자동 돌발상황 검지 모형을 개발하는 것이다. 본 연구의 수행을 위하여 고속도로에 설치된 루프 차량 검지기(Loop Vehicle Detection System)에서 수집된 점유율 데이터를 사용하였다. 기존의 검지모형은 산정하기가 까다로운 임계치에 의하여 돌발상황을 검지하는 방식이었다. 반면 본 연구 모델은 위치와 시간대 교통 패턴에 관계없이 모형을 일정하게 적용하며, 지속적으로 돌발상황 지점과 상·하류의 교통패턴을 비교 검정 기법인 Wilcoxon Rank Sum Test 기법을 사용하여 돌발상황 검지를 수행하도록 하였다. 연구모형의 검증을 위한 테스트 결과 시간과 위치에 관계없이 정확하고 빠른 검지시간(돌발 상황 발생 후 2∼3분)을 가짐을 알 수 있었다. 또한 기존의 모형인 APID, DES, DELOS모형과 비교검증을 위하여 검지율 및 오보율 테스트를 수행한 결과 향상된 검지 능력(검지율 : 89.01%, 오보율 : 0.97%)을 나타남을 알 수 있었다. 그러나 압축파와 같은 유사 돌발상황이 발생되면 제대로 검지를 하지 못하는 단점을 가지고 있으며 향후 이에 대한 연구가 추가된다면 더욱 신뢰성 있는 검지모형으로 발전할 것이다.

• Journal of Integrative Natural Science
• /
• v.15 no.1
• /
• pp.9-18
• /
• 2022

This research examines the power of bootstrap two-sample test, and compares it with the powers of two-sample t-test and Wilcoxon rank sum test, through simulation. For simulation work, a positively skewed and heavy tailed distribution was selected as a population distribution, the chi-square distributions with three degrees of freedom, χ²₃. For two independent samples, the fist sample was selected from χ²₃. The second sample was selected independently from the same χ²₃ as the first sample, and calculated d+ax for each sampled value x, a randomly selected value from χ²₃. The d in d+ax has from 0 to 5 by 0.5 interval, and the a has from 1.0 to 1.5 by 0.1 interval. The powers of three methods were evaluated for the sample sizes 10,20,30,40,50. The null hypothesis was the two population medians being equal for Bootstrap two-sample test and Wilcoxon rank sum test, and the two population means being equal for the two-sample t-test. The powers were obtained using r program language; wilcox.test() in r base package for Wilcoxon rank sum test, t.test() in r base package for the two-sample t-test, boot.two.bca() in r wBoot pacakge for the bootstrap two-sample test. Simulation results show that the power of Wilcoxon rank sum test is the best for all 330 (n,a,d) combinations and the power of two-sample t-test comes next, and the power of bootstrap two-sample comes last. As the results, it can be recommended to use the classic inference methods if there are widely accepted and used methods, in terms of time, costs, sometimes power.

• Communications for Statistical Applications and Methods
• /
• v.22 no.4
• /
• pp.377-387
• /
• 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
• /
• v.30 no.4
• /
• pp.679-691
• /
• 2001

Two truncated sequential tests are developed for the two-sample scale problem based on the usual Wilcoxon rank-sum statistic for two different dispersion indices - absolute median deviations, when the medians of the two populations X and Y are equal or known and sums of squared mean deviations, when the medians are either unknown or unequal. The first test is briefly called SWAMD test and the second SWSMD test. For the SWAMD test, the percentile points for both the one-sided and two-sided alternatives, (equation omitted) have been found by Wiener approximation and their values computed for a range of values of a and N; analytical expression for the power function has been derived through Wiener process and its performance studied for various sequential designs for exponential distribution. This test has been illustrated by a numerical example. All the results of the SWAMD test, being directly applicable to the SWSMD test, are not dealt with separately Both the tests are compared and their suitable applications indicated.

• Journal of the Korean Data and Information Science Society
• /
• v.21 no.6
• /
• pp.1243-1251
• /
• 2010

For clinical trials, it is common to compare the placebo and new drug. The method of calculating a sample size for two independent populations are the t-test that is used for parametric methods, and the Wilcoxon rank-sum test that is used in the non-parametric methods. In this paper, we propose a method that is using Kim's (1994) statistic power based on the linear placement statistic, which was proposed by Orban and Wolfe (1982). We also compare the sample size for the proposed method with that for using Wang et al. (2003)'s sample size formula which is based on Wilcoxon rank-sum test, and with that of t-test for parametric methods.

• The Korean Journal of Applied Statistics
• /
• v.27 no.5
• /
• pp.833-842
• /
• 2014

Non-inferiority trials indicate whether the effect of an experimental treatment is not worse than an active control. Chen et al. (2006) and Kang (2010) proposed a test method for non-inferiority trials using confidence intervals. In this paper, we suggest a new nonparametric method using a confidence interval based on Wilcoxon rank-sum test and Hodges-Lehmann estimator of active control. A Monte-Carlo simulation study compares the type I error and the power of the proposed method with previous methods.

• Journal of Environmental Science International
• /
• v.7 no.1
• /
• pp.1-7
• /
• 1998

This paper alms to estimate the change point of the precipitation in Pusan area using the several statistical approaches. The data concerning rainfall are extracted from the annual climatological report and monthly weather report issued by the Korean Meteorological Administration. The average annual precipitation at Pusan is 1471.6 mm, with a standard deviation of 406.0 mm, less than the normal(1486.0 mm). The trend of the annual precipitation is continuously decreasing after 1991 as a change point. And the statistical tests such as t-test and Wilcoxon rank sum test reveals that the average annual precipitation of after 1991 is less than that of before 1991 at 10% significance level. And the mean gnu성 precipitation In Kyongnam districts is also continuously decreasing after 1991 same as Pusan.

• Communications for Statistical Applications and Methods
• /
• v.5 no.3
• /
• pp.707-722
• /
• 1998

This paper evaluates a new clinical trial designs for low infection rate disease. This type of sparse disease reaction makes the traditional two sample t-test or Wilcoxon rank-sum test inefficient compared to a new test suggested. The new test, which is based solely on the larger changes, is shown to be more effective than existing method by simulation for small samples. However, this test can be shown to be connected to the locally most powerful rank test under certain practical conditions. This design is motivated in testing the treatment effects in periodontal disease research.

• Journal of the Korean Statistical Society
• /
• v.26 no.2
• /
• pp.211-222
• /
• 1997

We briefly review three Raleigh type location tests based on direction vectors, which have been shown to be efficient when the distribution is unknown, skewed, or heavy-tailed. Then we calculate their test breakdown points and discuss the robustness of Randles multivariate sign test for one-sample.

• The Korean Journal of Applied Statistics
• /
• v.19 no.3
• /
• pp.565-578
• /
• 2006

Repeated measurement data between two group is often used in the field of medicine study. In this paper, we suggest a method for comparison of the trend between two groups based on repeated measurement data. First, we estimate regression coefficient of linear regression model from each subject and generate samples using the regression coefficient estimated previous. And then, we test the difference between two groups by unpaired t-test, Wilcoxon rank sum test and placement test using generated samples. Monte Carlo Simulation is adapted to examine the power and experimental significance levels of several methods in various combinations.