• Title/Summary/Keyword: test of homogeneity

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Frequency Analysis of Extreme Rainfall Using 3 Parameter Probability Distributions (3변수 확률분포형에 의한 극치강우의 빈도분석)

  • Kim, Byeong-Jun;Maeng, Sung-Jin;Ryoo, Kyong-Sik;Lee, Soon-Hyuk
    • Journal of The Korean Society of Agricultural Engineers
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    • v.46 no.3
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    • pp.31-42
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    • 2004
  • This research seeks to derive the design rainfalls through the L-moment with the test of homogeneity, independence and outlier of data on annual maximum daily rainfall at 38 rainfall stations in Korea. To select the appropriate distribution of annual maximum daily rainfall data by the rainfall stations, Generalized Extreme Value (GEV), Generalized Logistic (GLO), Generalized Pareto (GPA), Generalized Normal (GNO) and Pearson Type 3 (PT3) probability distributions were applied and their aptness were judged using an L-moment ratio diagram and the Kolmogorov-Smirnov (K-S) test. Parameters of appropriate distributions were estimated from the observed and simulated annual maximum daily rainfall using Monte Carlo techniques. Design rainfalls were finally derived by GEV distribution, which was proved to be more appropriate than the other distributions.

Estimation of Design Rainfall Using 3 Parameter Probability Distributions (3변수 확률분포에 의한 설계강우량 추정)

  • Lee, Soon Hyuk;Maeng, Sung Jin;Ryoo, Kyong Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.595-598
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    • 2004
  • This research seeks to derive the design rainfalls through the L-moment with the test of homogeneity, independence and outlier of data on annual maximum daily rainfall at 38 rainfall stations in Korea. To select the appropriate distribution of annual maximum daily rainfall data by the rainfall stations, Generalized Extreme Value (GEV), Generalized Logistic (GLO), Generalized Pareto (GPA), Generalized Normal (GNO) and Pearson Type 3 (PT3) probability distributions were applied and their aptness were judged using an L-moment ratio diagram and the Kolmogorov-Smirnov (K-S) test. Parameters of appropriate distributions were estimated from the observed and simulated annual maximum daily rainfall using Monte Carlo techniques. Design rainfalls were finally derived by GEV distribution, which was proved to be more appropriate than the other distributions.

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Assessing Markov and Time Homogeneity Assumptions in Multi-state Models: Application in Patients with Gastric Cancer Undergoing Surgery in the Iran Cancer Institute

  • Zare, Ali;Mahmoodi, Mahmood;Mohammad, Kazem;Zeraati, Hojjat;Hosseini, Mostafa;Naieni, Kourosh Holakouie
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.1
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    • pp.441-447
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    • 2014
  • Background: Multi-state models are appropriate for cancer studies such as gastrectomy which have high mortality statistics. These models can be used to better describe the natural disease process. But reaching that goal requires making assumptions like Markov and homogeneity with time. The present study aims to investigate these hypotheses. Materials and Methods: Data from 330 patients with gastric cancer undergoing surgery at Iran Cancer Institute from 1995 to 1999 were analyzed. To assess Markov assumption and time homogeneity in modeling transition rates among states of multi-state model, Cox-Snell residuals, Akaikie information criteria and Schoenfeld residuals were used, respectively. Results: The assessment of Markov assumption based on Cox-Snell residuals and Akaikie information criterion showed that Markov assumption was not held just for transition rate of relapse (state 1 ${\rightarrow}$ state 2) and for other transition rates - death hazard without relapse (state 1 ${\rightarrow}$ state 3) and death hazard with relapse (state 2 ${\rightarrow}$ state 3) - this assumption could also be made. Moreover, the assessment of time homogeneity assumption based on Schoenfeld residuals revealed that this assumption - regarding the general test and each of the variables in the model- was held just for relapse (state 1 ${\rightarrow}$ state 2) and death hazard with a relapse (state 2 ${\rightarrow}$ state 3). Conclusions: Most researchers take account of assumptions such as Markov and time homogeneity in modeling transition rates. These assumptions can make the multi-state model simpler but if these assumptions are not made, they will lead to incorrect inferences and improper fitting.

The Effects of Foot Reflexology on Pain and Depression of Middle-aged Women with Osteoarthritis (발반사마사지가 골관절염을 가진 중년여성의 통증과 우울에 미치는 효과)

  • Oh, Hyun-Sook;Ahn, Seong-Ah
    • The Korean Journal of Rehabilitation Nursing
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    • v.9 no.1
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    • pp.25-33
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    • 2006
  • Purpose: This study was to examine the effects of foot reflexology on pain and depression of middle-aged women with Osteoarthritis Method: The subjects were 41 osteoarthritis patients resided in the Jinju city from March to May, 2005. The foot reflexology was applied to the experimental group 3 times a week for 4 weeks, 30 minutes eachs. For the data analysis, $X^2$-test was conducted to verify the homogeneity of general characteristics, and t-test was done to verify the homogeneity of pain and depression. To examine the relative efficacy of the intervention, t-test, paired t-test and repeated measures ANOVA were conducted. Results: After foot reflexology, the subjects in experimental group showed significant improvement in pain (F=155.77, p=.000) and depression ((F=20.00, p=.000). Conclusion: The results suggest that the foot reflexology is effective in relieving of pain and depression. Therefore, it is necessary to develop foot reflexology as an independent nursing intervention.

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Error cause analysis of Pearson test statistics for k-population homogeneity test (k-모집단 동질성검정에서 피어슨검정의 오차성분 분석에 관한 연구)

  • Heo, Sunyeong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.4
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    • pp.815-824
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    • 2013
  • Traditional Pearson chi-squared test is not appropriate for the data collected by the complex sample design. When one uses the traditional Pearson chi-squared test to the complex sample categorical data, it may give wrong test results, and the error may occur not only due to the biased variance estimators but also due to the biased point estimators of cell proportions. In this study, the design based consistent Wald test statistics was derived for k-population homogeneity test, and the traditional Pearson chi-squared test statistics was partitioned into three parts according to the causes of error; the error due to the bias of variance estimator, the error due to the bias of cell proportion estimator, and the unseparated error due to the both bias of variance estimator and bias of cell proportion estimator. An analysis was conducted for empirical results of the relative size of each error component to the Pearson chi-squared test statistics. The second year data from the fourth Korean national health and nutrition examination survey (KNHANES, IV-2) was used for the analysis. The empirical results show that the relative size of error from the bias of variance estimator was relatively larger than the size of error from the bias of cell proportion estimator, but its degrees were different variable by variable.

Development of Analytical Reference Material for Proficiency Test of Pesticide Multi-residue Analysis in Tomato (토마토 농약다성분분석 정도관리용 분석표준물질 개발)

  • Kim, Jong-Hwan;Oh, Young-Gon;Choi, Sung-Gil;Hong, Su-Myeong;Kim, Sun-bae;Woo, In-Duk;Kim, Jun-Young;Seo, Jong-Su
    • Korean Journal of Environmental Agriculture
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    • v.35 no.3
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    • pp.223-233
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    • 2016
  • BACKGROUND: This study was to develop a analytical reference material including twenty pesticides in tomato. To use it for proficiency test, the suitability of homogeneity, storage stability, assigned values and uncertainty for analytical reference material were important.METHODS AND RESULTS: In order to develop a analytical reference material of tomato for multi-residue analysis of pesticides, twenty-pesticides were treated in tomato and the samples were frozen and homogenized. The homogeneity, stability, assigned value and uncertainty were calculated according to the requirements of the KS A ISO Guide 35, KS Q ISO 13528 and EURL-PT protocol. The values of the within-bottle standard variation(swb) and the between-bottle standard variation(sbb) were 0.9~6.5% of assigned value and the uncertainty(u*bb) due to inhomogeneity was also calculated as 0.6~1.9% for all pesticides. This indicated that it was satisfactory to be used as a analytical reference material. The storage stabilities of twenty-pesticides at room temperature and freezing conditions were assessed according to the requirement of the KS Q ISO Guide 35. All pesticides were stable at room temperature (20~30℃) for 8 days and freezing (-20℃) for 23 days.CONCLUSION: The feasibility of analytical reference material for pesticide multi-residue analysis in a tomato matrix was investigated. Homogeneity of within/between-bottle, uncertainty and stabilities at room temperature and freezing condition were satisfactory for a use of proficiency test and quality control. From these results, a analytical reference material would be applicable to monitor the proficiency test of pesticide analysis organizations to improve the reliability and consistency.

Weighted Quantile Test for Comparing Several Treatments with a Control Under Right Censorship

  • Park, Sang-Gue;Park, Chul-Hyun;Ham, Jong-Uk;Kim, Jeong-il
    • Journal of Korean Society for Quality Management
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    • v.21 no.2
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    • pp.170-178
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    • 1993
  • A test based on quantiles is proposed for homogeneity of several treatments against the simple tree alternatives when the samples are subject to the right censorship. The proposed test is a generalization of Park and Kim(1989)'s one. The size and the power of the test is examined in a simulation study.

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On Tests for Marginal Homogeneity (주변동질성 검정법의 비교분석)

  • 강민희;박태성;이성곤
    • The Korean Journal of Applied Statistics
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    • v.14 no.1
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    • pp.211-221
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    • 2001
  • 본 논문에서는 2$\times$2 분할표의 주변동질성 검정에서 사용될 수 있는 통계량들을 소개하고, 이 통계량들을 비교하였다. 먼저 주변동질성 검정에 민감하게 영향을 주는 모수를 정의한 후에 이 모수들의 효과를 예시하였다. 또한 이 모수들을 이용하여 모의실험을 통해여러 검정법들을 비교해본 결과 McNemar 검정이 다른 검정력보다 더 좋은 성질을 가지고 있음을 보였다.

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Current overshoot operation of a REBCO magnet to mitigate SCF

  • Lee, Changhyung;Hahn, Seungyong;Bang, Jeseok;Cho, Jeonwook;Kim, Seokho
    • Progress in Superconductivity and Cryogenics
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    • v.20 no.4
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    • pp.65-69
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    • 2018
  • Due to large in-field current carrying capacity and strong mechanical strength, a REBCO wire has been regarded as a viable high temperature superconductor (HTS) option for high field MRI and > 1 GHz (>23.5 T) NMR magnets. However, a REBCO magnet is well known to have an inherent problem of field inhomogeneity, so-called 'Screening Current induced magnetic Field (SCF)'. Recently, 'field shaking' and 'current overshoot operation' techniques have been successfully demonstrated to mitigate the SCF and enhance the field homogeneity by experiments. To investigate the effectiveness of current overshooting operation technique, a numerical simulation is conducted for a test REBCO magnet composed of a stack of double pancake coils using '2D edge-element magnetic field formulation' combined with 'domain homogenization' scheme. The simulation result demonstrates that an appropriate amount of current overshoot can negate the SCF. To verify the simulation results, current overshoot experiments are conducted for the REBCO magnet in liquid nitrogen. Experimental results also demonstrate the possible application of current overshoot technique to mitigate the SCF and enhance the field homogeneity.