• Title/Summary/Keyword: 구간절단

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중도절단된 생존함수의 신뢰구간 비교연구

  • Lee, Gyeong-Hwa;Lee, Jae-Won
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.251-255
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    • 2005
  • 중도절단된 자료와 표본수가 적은 자료를 가지는 생존분석에서 생존율을 추정하거나 두 집단의 생존율을 비교할 때 정규분포 근사를 가정한 신뢰구간을 이용하는 데는 많은 어려움이 생긴다. 생존함수의 신뢰구간에 대한 중도절단을, 표본의 크기에 따른 다양한 상황의 모의실험을 통하여 Kaplan-Meier, Nelson, 적률 추정량 그리고 cox model의 ${\beta}$을 가지고 붓스트랩을 이용한 신뢰구간과 비모수 신뢰구간, 우도비 신뢰구간의 실제 포함 확률을 비교해보고자 한다.

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Estimation of Survival Function and Median Survival Time in Interval-Censored Data (구간중도절단자료에서 생존함수와 중간생존시간에 대한 추정)

  • Yun, Eun-Young;Kim, Choong-Rak
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.521-531
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    • 2010
  • Interval-censored observations are common in medical and epidemiologic studies; however, limited studies exist due to the complexity and special structure of interval-censoring. This paper introduces the imputation method and the self consistency method in the interval-censored data. We propose a new method of generating random numbers under an interval-censoring set-up. Through simulation studies we compare two methods under various simulation schemes in the sense of the mean squared error for estimating the median survival time and the mean integrated squared error for estimating the survival function. Under a moderate censoring percentage, the mean imputation method showed a better performance than the self-consistency method in estimating the median survival time and the survival function.

Analysis of Interval-censored Survival Data from Crossover Trials with Proportional Hazards Model (교차계획 구간절단 생존자료의 비례위험모형을 이용한 분석)

  • Kim, Eun-Young;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.20 no.1
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    • pp.39-52
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    • 2007
  • Crossover trials of new drugs in the treatment of angina pectoris, which frequently use treadmill exercise test for the assessment of its efficacy, produce censored survival times. In this paper we consider analysis approaches for censored survival times from crossover trials. Previously, a stratified Cox model for paired observation and nonparametric methods have been presented as possible analysis methods. On the other hand, the differences of two survival times would produce interval-censored survival times and we propose a Cox model for interval-censored data as n alternative analysis method. Example data is analyzed in order to compare these different methods.

Parameter estimation for exponential distribution under progressive type I interval censoring (지수 분포를 따르는 점진 제1종 구간 중도절단표본에서 모수 추정)

  • Shin, Hye-Jung;Lee, Kwang-Ho;Cho, Young-Seuk
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.927-934
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    • 2010
  • In this paper, we introduce a method of parameter estimation of progressive Type I interval censored sample and progressive type II censored sample. We propose a new parameter estimation method, that is converting the data which obtained by progressive type I interval censored, those data be used to estimate of the parameter in progressive type II censored sample. We used exponential distribution with unknown scale parameter, the maximum likelihood estimator of the parameter calculates from the two methods. A simulation is conducted to compare two kinds of methods, it is found that the proposed method obtains a better estimate than progressive Type I interval censoring method in terms of mean square error.

A concordance test for bivariate interval censored data using a leverage bootstrap (지렛대 붓스트랩을 이용한 이변량 구간 중도 절단 자료의 일치성 검정)

  • Kim, Yang-Jin
    • The Korean Journal of Applied Statistics
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    • v.32 no.5
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    • pp.753-761
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    • 2019
  • A test procedure based on a Kendall's τ statistic is proposed for the association of bivariate interval censored data. In particular, a leverage bootstrap technique is applied to replace unknown failure times and a classical adjustment method is applied for treating tied observations. The suggested method shows desirable results in simulation studies. An AIDS dataset is analyzed with the suggested method.

Bayesian Interval Estimation of Tobit Regression Model (토빗회귀모형에서 베이지안 구간추정)

  • Lee, Seung-Chun;Choi, Byung Su
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.737-746
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    • 2013
  • The Bayesian method can be applied successfully to the estimation of the censored regression model introduced by Tobin (1958). The Bayes estimates show improvements over the maximum likelihood estimate; however, the performance of the Bayesian interval estimation is questionable. In Bayesian paradigm, the prior distribution usually reflects personal beliefs about the parameters. Such subjective priors will typically yield interval estimators with poor frequentist properties; however, an objective noninformative often yields a Bayesian procedure with good frequentist properties. We examine the performance of frequentist properties of noninformative priors for the Tobit regression model.

A two-sample test with interval censored competing risk data using multiple imputation (다중대체방법을 이용한 구간 중도 경쟁 위험 모형에서의 이표본 검정)

  • Kim, Yuwon;Kim, Yang-Jin
    • The Korean Journal of Applied Statistics
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    • v.30 no.2
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    • pp.233-241
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    • 2017
  • Interval censored data frequently occur in observation studies where the subject is followed periodically. In this paper, our interest is to suggest a test statistic to compare the CIF of two groups with interval censored failure time data in the presence of competing risks. Gray (1988) suggested a test statistic for right censored data that motivated a well-known Fine and Gray's subdistribution hazard model. A multiple imputation technique is adopted to adopt Gray's test statistic to interval censored data. The powers and sizes of the suggested method are investigated through diverse simulation schemes. The main merit of the suggested method is its simplicity to implement with existing software for right censored data. The method is illustrated by analyzing Bangkok's HIV cohort dataset.

Modeling Clustered Interval-Censored Failure Time Data with Informative Cluster Size (군집의 크기가 생존시간에 영향을 미치는 군집 구간중도절단된 자료에 대한 준모수적 모형)

  • Kim, Jinheum;Kim, Youn Nam
    • The Korean Journal of Applied Statistics
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    • v.27 no.2
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    • pp.331-343
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    • 2014
  • We propose two estimating procedures to analyze clustered interval-censored data with an informative cluster size based on a marginal model and investigate their asymptotic properties. One is an extension of Cong et al. (2007) to interval-censored data and the other uses the within-cluster resampling method proposed by Hoffman et al. (2001). Simulation results imply that the proposed estimators have a better performance in terms of bias and coverage rate of true value than an estimator with no adjustment of informative cluster size when the cluster size is related with survival time. Finally, they are applied to lymphatic filariasis data adopted from Williamson et al. (2008).

Cure Rate Model with Clustered Interval Censored Data (군집화된 구간 중도절단자료에 대한 치유율 모형의 적용)

  • Kim, Yang-Jin
    • The Korean Journal of Applied Statistics
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    • v.27 no.1
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    • pp.21-30
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    • 2014
  • Ordinary survival analysis cannot be applied when a significant fraction of patients may be cured. A cure rate model is the combination of cure fraction and survival model and can be applied to several types of cancer. In this article, the cure rate model is considered in the interval censored data with a cluster effect. A shared frailty model is introduced to characterize the cluster effect and an EM algorithm is used to estimate parameters. A simulation study is done to evaluate the performance of estimates. The proposed approach is applied to the smoking cessation study in which the event of interest is a smoking relapse. Several covariates (including intensive care) are evaluated to be effective for both the occurrence of relapse and the smoke quitting duration.

Investigation of The Abandoned Channel Type in Nakdong River and Yeongsan River (낙동강.영산강 폐천 및 구하도 유형검토)

  • Yeo, Hong-Koo;Kang, Jun-Gu;Hong, Il;Yoo, Hye-In
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1039-1043
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    • 2010
  • 본 연구에서는 낙동강, 영산강을 대상으로 과거 사행하도 구간을 직강화함에 따라 절단된 폐천의 형태를 조사하고 이에 대한 유형화를 수행하였다. 폐천 및 구하도 구간을 선정하기 위한 기준은 1918년 근세한국오만분지일지형도를 이용하여 현재의 수치지도와 좌표보정 후 중첩, 비교함으로써 폐천 구간을 파악하였다. 낙동강의 경우 인위적 변형(하도절단형)에 따른 유형분류로 살펴보면, 세부적으로 하도보존형, 타용도전용형, 하도유실형은 각각 9 개소, 2 개소, 3 개소로 조사되었다. 영산강은 세부적으로 하도보존형이 4 개소로 나타났고, 타용도전용형, 하도유실형이 각각 4 개소, 10 개소로 나타났다. 이와 같은 폐천 현황 조사결과는 향후 구하도 복원을 위한 대상지 선정 시 기초자료를 제공하는 기회를 마련할 수 있을 것으로 판단된다.

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