• 제목/요약/키워드: Cox regression model

검색결과 208건 처리시간 0.025초

Bayesian test for the differences of survival functions in multiple groups

  • Kim, Gwangsu
    • Communications for Statistical Applications and Methods
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    • 제24권2호
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    • pp.115-127
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    • 2017
  • This paper proposes a Bayesian test for the equivalence of survival functions in multiple groups. Proposed Bayesian test use the model of Cox's regression with time-varying coefficients. B-spline expansions are used for the time-varying coefficients, and the proposed test use only the partial likelihood, which provides easier computations. Various simulations of the proposed test and typical tests such as log-rank and Fleming and Harrington tests were conducted. This result shows that the proposed test is consistent as data size increase. Specifically, the power of the proposed test is high despite the existence of crossing hazards. The proposed test is based on a Bayesian approach, which is more flexible when used in multiple tests. The proposed test can therefore perform various tests simultaneously. Real data analysis of Larynx Cancer Data was conducted to assess applicability.

전술제대 공격작전간 전투원 생존성에 관한 연구 (Analysis of Survivability for Combatants during Offensive Operations at the Tactical Level)

  • 김재오;조형준;김각규
    • 응용통계연구
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    • 제28권5호
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    • pp.921-932
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    • 2015
  • 본 연구에서는 증강된 보병대대의 과학화 전투훈련 데이터 중 공격작전에 관한 장병들의 생존분석을 실시하였다. 과학화 전투훈련은 KCTC(Korea Combat Training Center)로 불리는 전투훈련장에서 MILES(Multiple Integrated Lazer Engagement System)와 중앙통제장비체계 등 과학화된 훈련장비와 체계 운용하 훈련부대가 적 전술 및 무기체계를 사용하는 전문 대항군과 실시하는 쌍방 자유기동훈련이다. 이는 훈련기간 동안 훈련지역의 모든 데이터가 저장되어 훈련통제 뿐 아니라 분석 및 사후검토를 할 수 있는 첨단화된 군사 훈련으로 통계적 분석이 가능한 데이터를 제공한다. 분석방법은 모수적 분포 가정이 필요하지 않은 Cox의 비례위험모형을 적용하였으며, 보다 풍부하고 용이한 해석을 위해 의사결정나무모형(CART(Classification and Regression Trees), GUIDE(Generalized, Unbiased, Interaction Detection and Estimation), CTREE(Conditional Inference Trees))을 활용하였다. Cox 비례위험모형의 비례성 가정을 확인하여 이를 위배하는 변수에 대해서 층화하여 분석하고, Cox 비례위험모형 결과 복무기간에 관한 해석이 용이하지 않아 단변량으로 local 회귀분석을 통해 추가적인 해석을 시도하였다. CART, GUIDE, CTREE는 모형의 특성별로 나무모형을 형성하며 이를 통하여 다양한 해석이 가능하다.

Screening for Patients with Non-small Cell Lung Cancer Who Could Survive Long Term Chemotherapy

  • Wu, Xue-Yan;Huang, Xin-En
    • Asian Pacific Journal of Cancer Prevention
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    • 제16권2호
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    • pp.647-652
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    • 2015
  • Background: Lung cancer was one of the most common cancers in both men and women all over the world. In this study, we aimed to clarify who could survive after long term chemotherapy in patients with advanced non-small cell lung cancer (NSCLC). Methods: We enrolled 186 patients with stage IV NSCLC after long term chemotherapy from Jun 2006 to Nov 2014 diagnosed in Jiangsu Cancer Hospital. Multiple variables like age, gender, smoking, histology of adenocarcinoma and squamous-cell cancer, number of metastatic sites, metastatic sites (e.g. lung, brain, bone, liver and pleura), hemoglobin, lymphocyte rate (LYR), Change of LYR during multiple therapies, hypertension, diabetes, chronic bronchitis, treatments (e.g.radiotherapy and targeted therapy) were selected. For consideration of factors influencing survival and response for patients with advanced NSCLC, logistic regression analysis and Cox regression analysis were used in an attempt to develop a screening module for patients with elevated survival after long term chemotherapy become possible. Results: Of the total of 186 patients enrolled, 69 survived less than 1 year (short-term group), 45 one to two years, and 72 longer than 3 years (long-term group). For logistic regression analysis, the short-term group was taken as control group and the long-term group as the case group. We found that age, histology of adenocarcinoma, metastatic site (e.g. lung and liver), treatments (e.g. targeted therapy and radiotherapy), LYR, a decreasing tendency of LYR and chronic bronchitis were individually associated with overall survival by Cox regression analysis. A multivariable Cox regression model showed that metastatic site (e.g. lung and liver), histology of adenocarcinoma, treatments (e.g. targeted therapy and radiotherapy) and chronic bronchitis were associated with overall survival. Thus metastatic site (e.g. lung and liver) and chronic bronchitis may be important risk factors for patients with advanced NSCLC. Gender, metastatic site (e.g. lung and liver), LYR and the decreasing tendency of LYR were significantly associated with long-term survival in the individual-variable logistic regression model (P<0.05). On multivariate logistic regression analysis, gender, metastatic site (e.g. lung and liver) and the decreasing tendency of LYR associated with long-term survival. Conclusions: In conclusion, female patients with stage IV adenocarcinoma of NSCLC who had decreasing tendency of LYR during the course therapy and had accepted multiple therapies e.g. more than third-line chemotherapy, radiotherapy and/or targeted therapy might be expected to live longer.

서울시 홍대상권 내 업종변화 필지의 공간적 특성 분석 - 상업 젠트리피케이션의 관점에서 - (Analysis of Spatial Characteristics of Business-Type-Changed Parcel in Hongik-University Commercial Area, Seoul - Focused on the View Point of Commercial Gentrification -)

  • 김동준;김기중;이승일
    • 국토계획
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    • 제54권2호
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    • pp.5-16
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    • 2019
  • The purpose of this study is to analyze the spatial characteristics of business-type-changed parcel in the Hongik-University commercial area, from the view point of commercial gentrification. A commercial gentrification occurs through a business-type-change in a spatial basic unit (microscopic spatial unit such as parcel) of an area which has not been considered in relavent policies and research. So, this study analyzed the spatial characteristics of business-type-changed parcels using the Cox's proportional hazard regression model. The main results of this study are as follows. First, as new developments in the adjacent area occur, the business-type-change probability increases. Second, by the commercial area division, the business-type-change probability is different. Finally, the accessibility is better, the probability is higher. These results could suggest that a consideration of the spatial characteristics form microscopic viewpoint is necessary to understand the commercial gentrification. And these could be used as basic data for a gentrification diagnostic and management system, which can predict gentrification from the view point of business-type-change on the basis of a parcel.

이원오차성분을 갖는 패널회귀모형의 모형식별검정 (Test of Model Specification in Panel Regression Model with Two Error Components)

  • 송석헌;김영지;황선영
    • 응용통계연구
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    • 제19권3호
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    • pp.461-479
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    • 2006
  • 본 논문에서는 이원오차성분을 갖는 패널회귀모형에서 모형식별을 위하여 LM 검정통계량을 유도하고 검정통계량의 연산을 위하여 인공회귀방법(Double-Length Artificial Regression, DLR)을 이용한다. 모의 실험 결과, 소표본의 경 우에는 Outer-Product Gradient(OPG)에 근거한 LM 검정통계량은 유위수준이 과대기각하는 경향을 보인 반면 DLR에 근거한 LM 검정통계량은 명목유의수준을 잘 유지하고 검정력도 높게 나타났다.

Muscle Radiation Attenuation in the Erector Spinae and Multifidus Muscles as a Determinant of Survival in Patients with Gastric Cancer

  • An, Soomin;Kim, Youn-Jung;Han, Ga Young;Eo, Wankyu
    • Journal of Korean Biological Nursing Science
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    • 제24권1호
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    • pp.17-25
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    • 2022
  • Purpose: To determine the prognostic role of muscle area and muscle radiation attenuation in the erector spinae (ES) and multifidus (MF) muscles in patients undergoing gastrectomy. Methods: Patients with stage I-III gastric cancer undergoing gastrectomy were retrospectively enrolled in this study. Clinicopathologic characteristics were collected and analyzed. Both paraspinal muscle index of ES/MF muscles (PMIEM) and paraspinal muscle radiation attenuation in the same muscles (PMRAEM) were analyzed at the 3rd lumbar level using axial computed tomographic images. Cox regression analysis was applied to estimate overall survival (OS) and disease-free survival (DFS). Results: There was only a weak correlation between PMIEM and PMRAEM (r= 0.28). Multivariate Cox regression revealed that PMRAEM, but not PMIEM, was an important determinant of survival. PMRAEM along with age, tumor-node-metastasis (TNM) stage, perineural invasion, and serum albumin level were significant determinants of both OS and DFS that constituted Model 1. Harrell's concordance index and integrated area under receiver operating characteristic curve were greater for Model 1 than for Model 2 (consisting of the same covariates as Model 1 except PMRAEM) or Model 3 (consisting of only TNM stage). Conclusion: PMRAEM, but not PMIEM, was an important determinant of survival. Because there was only a weak correlation between PMIEM and PMRAEM in this study, it was presumed that they were mutually exclusive. Model 1 consisting of age, TNM stage, perineural invasion, serum albumin level, and PMRAEM was greater than nested models (i.e., Model 2 or Model 3) in predicting survival outcomes.

IMF 이후 발생한 실업자의 실업탈피 가능성 결정요인에 관한 연구 : 콕스 비례위험 회귀분석 모형을 이용한 실증분석 (Determinants of Reemployment after the Economic Crisis in 1997 : An Empirical Approach Using the Cox Proportional Hazards Regression Model)

  • 유태균
    • 한국사회복지학
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    • 제39권
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    • pp.210-237
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    • 1999
  • 이 연구는 IMF 이후의 대량실업 상황하에서 실업자의 실업탈피 가능성에 영향을 미치는 요인을 알아보고자 시도하였으며, 특히 정부의 실업대책이 실제로 실업자의 실업탈피 가능성에 어떤 영향을 미치는지를 실증적으로 알아보았다. 한국보건사회연구원과 한국노동연구원이 공동으로 실시한 '1998 실업실태 및 복지욕구조사' 자료에 대한 콕스 비례위험회귀(Cox Proportional Hazards Regression) 분석을 실시한 결과, 정부의 실업대책이 실업탈피 가능성에 미치는 영향은 분석대상의 실업탈피 유형에 따라 다르게 나타남을 발견하였다. 정부의 실업대책 이외에도 실업자와 실업가구의 인구, 사회 및 경제적 특성, 이전 직장관련 특성, 그리고 생계유지수단이 실업탈피 가능성에 미치는 영향을 분석하였으며, 연구결과를 바탕으로 보다 효과적인 실업대책을 마련하는 데 도움이 될 수 있는 정책방안을 제시하였다.

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임상의를 위한 다변량 분석의 실제 (Multivariate Analysis for Clinicians)

  • 오주한;정석원
    • Clinics in Shoulder and Elbow
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    • 제16권1호
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    • pp.63-72
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    • 2013
  • 임상 의학의 연구에 사용되는 대표적 다변량 분석 방법은 다중 회귀 분석 방법인데, 이는 인과 관계를 토대로 여러 개의 변수에 의한 한꺼번에의 영향력을 분석하기 위한 방법이다. 다중 회귀 분석은 기본적으로 회귀 분석의 기본 가정을 만족해야 함은 물론, 여러 개의 독립 변수들이 포함되기 때문에 변수들을 모형에 포함시키는 방법 및 다중 공선성 문제에 대한 고려가 필요하다. 다중 회귀 분석 모형의 설명력은 결정 계수 $R^2$으로 표현되어 1에 가까울수록 설명력이 크며, 각 독립 변수들의 결과에의 영향력은 회귀 계수인 ${\beta}$값으로 표현된다. 다중 회귀 분석은 종속 변수의 형태에 따라 다중 선형 회귀 분석, 다중 로지스틱 회귀 분석, 콕스 회귀 분석으로 나눌 수 있다. 종속 변수가 연속 변수인 경우 다중 선형 회귀 분석, 범주형 변수인 경우 다중 로지스틱 회귀 분석, 시간의 영향을 고려한 상태 변수인 경우는 콕스 회귀 분석을 시행해야 하며, 각각 결과에의 영향력은 회귀 계수 ${\beta}$, 교차비, 위험비로 평가한다. 이러한 다변량 분석에 대한 이해는 연구를 계획하고 결과를 분석하고자 하는 임상 의사에게 있어 보다 효율적인 연구를 위해 필수적인 소양이라고 할 수 있다.

Local Asymptotic Normality for Independent Not Identically Distributed Observations in Semiparametric Models

  • Park, Byeong U.;Jeon, Jong W.;Song, Moon S.;Kim, Woo C.
    • Journal of the Korean Statistical Society
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    • 제20권1호
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    • pp.85-92
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    • 1991
  • A set of conditions ensuring local asymptotic normality for independent but not necessarily identically distributed observations in semiparametric models is presented here. The conditions are turned out to be more direct and easier to verify than those of Oosterhoff and van Zwet(1979) in semiparametric models. Examples considered include the simple linear regression model and Cox's proportional hazards model without censoring where the covariates are not random.

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A study on robust regression estimators in heteroscedastic error models

  • Son, Nayeong;Kim, Mijeong
    • Journal of the Korean Data and Information Science Society
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    • 제28권5호
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    • pp.1191-1204
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    • 2017
  • Weighted least squares (WLS) estimation is often easily used for the data with heteroscedastic errors because it is intuitive and computationally inexpensive. However, WLS estimator is less robust to a few outliers and sometimes it may be inefficient. In order to overcome robustness problems, Box-Cox transformation, Huber's M estimation, bisquare estimation, and Yohai's MM estimation have been proposed. Also, more efficient estimations than WLS have been suggested such as Bayesian methods (Cepeda and Achcar, 2009) and semiparametric methods (Kim and Ma, 2012) in heteroscedastic error models. Recently, Çelik (2015) proposed the weight methods applicable to the heteroscedasticity patterns including butterfly-distributed residuals and megaphone-shaped residuals. In this paper, we review heteroscedastic regression estimators related to robust or efficient estimation and describe their properties. Also, we analyze cost data of U.S. Electricity Producers in 1955 using the methods discussed in the paper.