• Title/Summary/Keyword: Cox 모형

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Estimation of hazard function and hazard change-point for the rectal cancer data (직장암 데이터에 대한 위험률 함수 추정 및 위험률 변화점 추정)

  • Lee, Sieun;Shim, Byoung Yong;Kim, Jaehee
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.6
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    • pp.1225-1238
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    • 2015
  • In this research, we fit various survival models and conduct tests and estimation for the hazard change-point with the rectal cancer data. By the log-rank tests, at significance level ${\alpha}=0.10$, survival functions are significantly different according to the uniporter of glucose (GLUT1), clinical stage (cstage) and pathologic stage (ypstage). From the Cox proportional hazard model, the most significant covariates are GLUT1 and ypstage. Assuming that the rectal cancer data follows the exponential distribution, we estimate one hazard change-point using Matthews and Farewell (1982), Henderson (1990) and Loader (1991) methods.

Review on proportional hazards regression diagnostics based on residuas (잔차에 기초한 비례위험모형의 회귀진단법 고찰 - PBC 자료를 통한 응용 연구)

  • 이성임;박성현
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.233-250
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    • 2002
  • Cox's proportional hazard model is highly-used for the regression analysis of survival data in various fields. Regression diagnostics for the proportional hazards model, however, is not as well-known as the diagnostics for the classical linear models and so these diagnostic methods are not used widely in our practical data analyses. For this reason, we review the residuals proposed by several authors, and investigate how to use them in assessing the model. We also provide the results and interpretation with the analysis of PBC data using S-plus 2000 program.

Semi-Markov 모형에 기초한 다중상태 생존자료의 준모수적 분석

  • 여성칠
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.777-792
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    • 1998
  • 병원의 임상연구실험에서 종종 환자들의 치료에 따른 병세의 호전상태를 여러단계로 분류하여 상이한 치료방법에 대한 치료효과간의 차이론 알고자 하는 경우가 있다. 이와 같이 다중상태의 생존자료를 분석하기 위해서 본 논문에서는 semi-Markov 모형에 Cox 회귀모형을 적용하여 회귀계수와 기저생존함수를 추정하고 이를 바탕으로 반응확률함수를 추정하였다. 그리고 본 논문의 결과를 실제 임상실험에서 얻어진 자료에 적용하여 분석하였다.

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Crash Clearance Time Analysis of Korean Freeway Systems using a Cox Model (Cox 모형을 활용한 고속도로 사고 처리시간 영향인자 분석)

  • Chung, Younshik;Kim, Seon Jung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.37 no.6
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    • pp.1017-1023
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    • 2017
  • Duration induced by freeway crashes has a critical influence on traffic congestion. In general, crash duration composes detection and verification, response, and clearance time. Of these, the crash clearance time determined by a crash clearance team has attracted considerable attention in the freeway congestion management since the interest of the first two time stages faded away with increasing ubiquitous mobile phone users. The objective of this study is to identify the critical factors that affect freeway crash clearance time using a Cox's proportional hazard model. In total, 6,870 crash duration data collected from 30 major Korean freeways in 2013 were used. As a result, it was found that crashes during the night, with trailer or larger size truck, and in tunnel section contribute to increasing clearance time. Crashes associated with fatality, completed damage of crashed vehicle (s), and vehicles' fire or rollover after crash also lead to increasing clearance time. Additionally, an increase in the number of vehicles involved resulted in longer clearance time. On the other hand, crashes in the vicinity of tollgate, by passenger car, during spring, on flat section, and of car-facility type had longer clearance time. On the basis of the results, this paper suggested some strategic plans and mitigation measures to reduce crash clearance time on Korean freeway systems.

Comparing the efficiency of dispersion parameter estimators in gamma generalized linear models (감마 일반화 선형 모형에서의 산포 모수 추정량에 대한 효율성 연구)

  • Jo, Seongil;Lee, Woojoo
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.95-102
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    • 2017
  • Gamma generalized linear models have received less attention than Poisson and binomial generalized linear models. Therefore, many old-established statistical techniques are still used in gamma generalized linear models. In particular, existing literature and textbooks still use approximate estimates for the dispersion parameter. In this paper we study the efficiency of various dispersion parameter estimators in gamma generalized linear models and perform numerical simulations. Numerical studies show that the maximum likelihood estimator and Cox-Reid adjusted maximum likelihood estimator are recommended and that approximate estimates should be avoided in practice.

헤도닉 가격모형의 함수형태 - 시장특성을 감안한 변환함수들의 적용 및 검증 -

  • Heo, Se-Rim;Gwak, Seung-Jun
    • Environmental and Resource Economics Review
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    • v.5 no.2
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    • pp.291-302
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    • 1996
  • 환경질 개선의 편익추정에 사용되는 헤도닉 가격모형에서 제1단계 헤도닉 함수 추정시 그 함수형태에 따라 결과가 편의를 가질 수 있다. 본 논문에서는 13가지의 각기 다른 비선형 및 선형 헤도닉 함수 등을 한국 주택시장에 적용하여 그 적합성을 이론 및 실증적 방법을 병행하여 검증하였다. 그 결과, 고전적으로 종속변수만을 변환시키는 Box-Cox 함수형태나 Box-Cox 변형계수가 사전적으로 0과 1사이에 있음을 가정하는 오목한(concave) 한 함수형태가 기존 연구와는 달리 한국시장에는 적합한 함수형태가 아니라는 결과를 이끌어 냈다. 나아가 서울 주택시장에 가장 적합한 함수형태는 종속 및 독립변수를 각각 다르게 변환시키는 헤도닉 함수형태임을 보여 주었다. 아울러 본 연구는 간접적으로 헤도닉 가격모형 적용시 그 지역의 주택시장 특성에 관한 연구가 선행되어야 함을 시사하고 있다.

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Comparison of Survival Function Estimators for the Cox's Regression Model using Bootstrap Method (Cox 회귀모형(回歸模型)에서 붓스트랩방법(方法)에 의한 생존함수추정량(生存函數推定量)의 비교연구(比較硏究))

  • Cha, Young-Joon
    • Journal of the Korean Data and Information Science Society
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    • v.4
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    • pp.1-11
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    • 1993
  • The Cox's regression model is frequently used for covariate effects in survival data analysis, But, much of the statistical work has focused on asymptotic behavior so the small sample evaluation has been neglected. In this paper, we compare the small or moderate sample performances of the survival function estimators for the Cox's regression model using bootstrap method. The smoothed PL type estimator and the Link estimator are slightly better than corresponding the PL type estimator and the Nelson type estimator in the sense of the achieved error rates.

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Inhibitory Effects on the Enzymes Involved in the Inflammation by the Ethanol Extracts of Plant Foodstuffs (식물성 일반식품 자원의 에탄올 추출물이 염증 효소계에 미치는 영향)

  • Kwon, Eun-Sook;Kim, Il-Rang;Kwon, Hoon-Jeong
    • Korean Journal of Food Science and Technology
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    • v.39 no.3
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    • pp.348-352
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    • 2007
  • Inflammation is a complex process resulting from a variety of mechanisms. Combined inhibition of the activities of enzymes involved in the process may therefore be considered more important in anti-inflammatory property of plant extracts than any single contribution. In this study, the inhibitory effects of the ethanol extracts of thirty plant foods on the activities of secretory phospholipase $A_{2}$ ($sPLA_{2}$), cyclooxygenase-1 (COX-1), cyclooxygenase-2 (COX-2), and 12-lipoxygenase (12-LOX) were examined. Several legumes, mungbean sprout and some leaf vegetables inhibited the activity of $sPLA_2$, upstream enzyme of inflammation pathway. Only soybean sprout and mungbean sprout significantly inhibited 12-LOX activity. Although most of extracts inhibited the activities of both COX-1 and COX-2, water dropwort and amaranth showed selectivity for the inhibition of COX-2 over COX-1. Especially, mungbean showed anti-inflammatory property at both upstream and downstream of inflammation pathway with relatively low $IC_{50}$ values for $sPLA_{2}$ and COX-2 enzymes. Mungbean sprout exhibited inhibitory effects on all enzymes related to early and late inflammation and soybean sprout suppressed 12-LOX and COX-2 simultaneously, although the activities of these plants were showed at relatively high concentration. Therefore, mungbean, mungbean sprout, and soybean sprout appear to exhibit anti-inflammatory effects by combined inhibition of inflammatory enzymes.

Modeling of Ocean Circulation in the Neighboring Seas of Korean Peninsula from Global Ocean Circulation Model (전구 해수순환 수치모형에 의한 한반도 주변의 순환 모사)

  • Choi Bung Ho;Choi Young Jin;Kim Cheol Ho
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.16 no.4
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    • pp.241-257
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    • 2004
  • Global prognostic models based on NCOM(NCAR CSM Ocean Model) of NCAR which is generic from Bryan-Cox-Semtner model are established to study the ocean circulation in the neighboring seas of Korean peninsula. The model domain covers areas from $80.6{^\circ}S~88.6{^\circ}N$in meridional direction and the vertical water column is divided into 15 levels taking enhanced grid resolution of $0.3^\circ$ around Korean peninsula. Island option is used for 22 islands to simulate inshore circulation by hole-relaxation method and the restart hydrographic data are taken from NCAR(1998) CSM model that has been run for 300 years. The wind stress data are taken from Choi et al. (2002). Based on the model results, circulation patterns in the NW Pacific and global oceans are investigated. Volume transports calculated at five straits in the neighboring seas of Korean peninsula are compared with the results from Choi et al. (2002) and other observed data.

Application of Dynamically Coupled POM-WAM to Undertow Simulation (동적 결합형 POM-WAM 모형의 해향저류 모의 적용)

  • Chun, Je-Ho;Ahn, Kyung-Mo;Suh, Kyung-Duck;Yoon, Jong-Tae
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.23 no.2
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    • pp.182-191
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    • 2011
  • In the present study, the dynamically coupled POM-WAM of Chun et al.(2009) was applied to the numerical simulation of undertow, one of the nearshore currents. To improve the accuracy of the numerical model results in surf zone, the transport equation of the surface roller was solved, and its effects were incorporated into the present numerical model. The numerical model has been applied to two hydraulic experiments of Okayasu and Katayama(1992) and Cox and Kobayashi(1997). The numerical results were compared with the hydraulic experimental results to give a good concurrence. It is concluded that the present numerical model can be applied to the shallow water region including surf zone.