• Journal of Korean Society for Quality Management
• /
• v.22 no.2
• /
• pp.166-176
• /
• 1994

Some rank score tests are proposed for testing the equality of all sampling distribution functions against ordered location-scale alternatives in k-sample problem. Under the null hypothesis and a contiguous sequence of ordered location-scale alternatives, the asymptotic properties of the proposed test statistics are investigated. Also, the asymptotic local powers are compared with each others. The results show that the proposed tests based on the Hettmansperger-Norton type statistic are more powerful than others for the general ordered location-scale alternatives. However, the Shiraishi's tests based on the sum of two Bartholomew's rank analogue statistics are robust.

• The Pure and Applied Mathematics
• /
• v.27 no.4
• /
• pp.207-229
• /
• 2020

We establish fixed point and multidimensional fixed point results satisfying generalized (𝜓, 𝜃, 𝜑)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypothesis. Our results generalize, extend and modify several well-known results in the literature.

• Journal of the Korean Statistical Society
• /
• v.30 no.1
• /
• pp.63-76
• /
• 2001

An adaptive estimation and testing method is proposed for comparing dispersions among several ordered groups. Based upon the large sampling theory for nonparametric quartile estimators, we derive the order restricted estimators and construct a simple test statistic. This test statistic has a mixture of several chi-square distributions as its asymptotic null distribution. The proposed test is illustratively applied to survival time data for the patients with carcinoma of the oropharynx.

• The Pure and Applied Mathematics
• /
• v.30 no.3
• /
• pp.289-307
• /
• 2023

We prove some common fixed point theorems for β-non-decreasing mappings under contraction mapping principle on partially ordered metric spaces. We study the existence of solution for periodic boundary value problems and also give an example to show the degree of validity of our hypothesis. Our results improve and generalize various known results.

• The Pure and Applied Mathematics
• /
• v.23 no.1
• /
• pp.35-51
• /
• 2016

We establish coincidence point theorem for g-nondecreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings F, G : X² → X by using obtained coincidence point results. Furthermore, an example is also given to demonstrate the degree of validity of our hypothesis. Our results generalize, modify, improve and sharpen several well-known results.

• The Pure and Applied Mathematics
• /
• v.30 no.3
• /
• pp.309-336
• /
• 2023

We establish some common fixed point theorems satisfying weak ψ - ϕ contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this results we show the existence of fixed point on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algorithms and divide and Conquer algorithms, respectively and also give an example to show the usefulness of our hypothesis. Our results generalize, extend and improve several well-known results of the existing literature in fixed point theory.

• The Pure and Applied Mathematics
• /
• v.4 no.1
• /
• pp.7-18
• /
• 1997

Consider an $r\;\times\;c$ contingency table under the full multinomial model in which each classification is ordered. The problem is to test the null hypothesis of independence. A number of tests have been proposed for this problem. In this article we show that all of these tests can be improved on in some sense for most cases. In fact the preceding tests sometimes are inadmissible in a strict sense. Furthermore, we show by example that in some cases improved tests can yield substantially improved power functions.

• Proceedings of the Korean Institute Of Construction Engineering and Management
• /
• autumn
• /
• pp.405-410
• /
• 2002

Earned Value Management System(EVMS) has been institutionalized as an advanced management technique of construction project lately. And its research has been in the active progress in order to utilize the earned value concept as a project management tool for construction project ordered by both government and private sector. However it is necessary to test and prove the EVMS's adaptability to our construction environment by EVMS's several of operations before its introduction. Project forecasting phase of EVMS is the Estimate at Completion by utilizing earned value data. So, the purpose of this study is to propose EAC evaluation method for evaluation the accuracy of the EAC and encouraging cost realism, and to test for proving the validity of the evaluation methods through hypothesis testing.

• The Korean Journal of Applied Statistics
• /
• v.22 no.6
• /
• pp.1249-1263
• /
• 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.

• Korea journal of population studies
• /
• v.22 no.1
• /
• pp.153-173
• /
• 1999

광역도시내 대도시와 신도시는 경제적인 유기체임에도 불구하고 임의적인 행정구역으로 분할되어 있다. 이 결과 대도시는 신도시 주민들을 위하여 막대한 재원을 투자하여 도시기반시설을 건설하여야 하나, 상주인구의 감소로 재원부족이라는 어려움에 빠지게 된다. 본 연구는 1990년 미국 센서스 1% 자료를 이용하여 53개 광역도시내 인구이동을 분석하여 대도시가 도시기반시설에 투자를 하면 할수록 신도시로 대도시 인구가 빠져나가는 "신도시 주민의 대도시 찰취가설"을 입증하였다. 결국 광역도시내에 상이한 지방정부가 존재하는 경우 지방정부서비스 공급은 티부이론이 제시하는 효율성을 달성하지 못하기 때문에 광역도시내 정부 서비스의 공급은 사무엘슨 방식의 통합적 제공이 필요하다. 제공이 필요하다.