COVARIANCE ESTIMATION FOR LONGITUDINAL CANCER DATA
COVARIANCE ESTIMATION FOR LONGITUDINAL CANCER DATA
批准号:
6288245
负责人:
Michael J Daniels
金额:
$8.95万
依托单位:
依托单位国家:
美国
项目类别:
财政年份:
2001
资助国家:
美国
项目状态:
已结题
起止时间:
2001-02-01 至 2004-01-31
关键词:
AIDS therapy HIV infections alpha benzopyrone antidepressants biomarker combination therapy endocrine disorder gastrointestinal neoplasms human data longitudinal human study major depression mathematical model mental disorder chemotherapy metastasis method development model design /development neoplasm /cancer chemotherapy neoplasm /cancer epidemiology psychotherapy quality of life statistics /biometry zidovudine
中文摘要
描述(申请人摘要):在统计建模中,协方差
建筑物通常被认为是一种讨厌的东西,或者至少是次要的
平均值。然而,当分析的目标包括估计
受试者特异性效应或预测,协方差结构的估计
是非常重要的.该项目将制定方法,
纵向癌症研究中协方差结构的估计。这将
提高了估计固定和随机效应的效率,
作为特定对象的轨迹和预测。具体来说,这个项目
将开发协方差矩阵的估计量,这些估计量对各种
特征结构和/或结构假设,开发方法来计算这些
层次模型中的估计量,并开发模型类来解释
协方差中的异质性(由协变量解释和未解释)
在纵向试验中跨学科的结构。总之,这将提供
更大的建模灵活性,以及进行推断的效率,
纵向癌症数据。
这些方法包括开发合理的先验分布,
可以导出在小样本和/或
更高的维度和层次模型的构建,
受试者之间协变量的异质协方差结构和/或
先验分布共同的主题将是先验分布,
协方差矩阵或函数朝向某个参数形式或朝向某个
“平均”矩阵或函数,收缩量由
数据计算有效的方法来计算估计量和拟合
将探索模型,其中一些模型仅涉及微小的修改,
标准软件。
英文摘要
DESCRIPTION (Applicant's abstract): In statistical modeling the covariance
structure is often considered a nuisance, or at least of secondary importance
to the mean. However, when the goals of an analysis include estimation of
subject-specific effects or prediction, estimation of the covariance structure
is very important. This project will develop methodology for improving
estimation of covariance structure in longitudinal cancer studies. This will
result in increased efficiency in estimation of fixed and random effects, such
as subject-specific trajectories, and predictions. Specifically, this project
will develop estimators of covariance matrices that are robust to a variety of
eigenstructures and/or structural assumptions, develop methods to compute these
estimators in hierarchical models, and develop classes of models to account for
heterogeneity, both explained and unexplained by covariates, in covariance
structures across subjects in longitudinal trials. In sum, this will provide
greater flexibility in modeling, and efficiency in making inferences from,
longitudinal cancer data.
The methods include development of sensible prior distribution from which
estimators can be derived that have good properties in small samples and/or in
high dimensions and construction of hierarchical models to account for
heterogeneous covariance structures across subjects through covariates and/or
prior distributions. The common theme will be prior distributions which sh6nk
the cova6ance matrix or function toward some parametric form or to some
'average' matrix or function, with the amount of shrinkage determined by the
data. Computationally efficient ways to compute the estimators and fit the
models will be explored, some of which will involve only minor modifications to
standard software.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Bayesian machine learning for complex missing data and causal inference with a focus on cardiovascular and obesity studies
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批准号:10563598
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项目类别:
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资助金额:$54.83万
-
财政年份:2023
-
负责人:Michael J Daniels
-
依托单位:
Combining longitudinal cohort studies to examine cardiovascular risk factor trajectories across the adult lifespan and their association with disease
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批准号:10618846
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项目类别:
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资助金额:$57.65万
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财政年份:2021
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负责人:Michael J Daniels
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依托单位:
Combining longitudinal cohort studies to examine cardiovascular risk factor trajectories across the adult lifespan and their association with disease
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批准号:10279399
-
项目类别:
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资助金额:$61.0万
-
财政年份:2021
-
负责人:Michael J Daniels
-
依托单位:
Combining longitudinal cohort studies to examine cardiovascular risk factor trajectories across the adult lifespan and their association with disease
-
批准号:10430254
-
项目类别:
-
资助金额:$58.65万
-
财政年份:2021
-
负责人:Michael J Daniels
-
依托单位:
BAYESIAN APPROACHES FOR MISSINGNESS AND CAUSALITY IN CANCER AND BEHAVIOR STUDIES
-
批准号:9623592
-
项目类别:
-
资助金额:$42.58万
-
财政年份:2018
-
负责人:Michael J Daniels
-
依托单位:
BAYESIAN APPROACHES FOR MISSINGNESS AND CAUSALITY IN CANCER AND BEHAVIOR STUDIES
-
批准号:9437722
-
项目类别:
-
资助金额:$29.0万
-
财政年份:2018
-
负责人:Michael J Daniels
-
依托单位:
PREDOCTORAL TRAINING IN BIOMEDICAL BIG DATA SCIENCE
-
批准号:9116413
-
项目类别:
-
资助金额:$22.13万
-
财政年份:2016
-
负责人:Michael J Daniels
-
依托单位:
Bayesian approaches for missingness and causality in cancer and behavior studies
-
批准号:8672913
-
项目类别:
-
资助金额:$45.91万
-
财政年份:2014
-
负责人:Michael J Daniels
-
依托单位:
Bayesian approaches for missingness and causality in cancer and behavior studies
-
批准号:9041551
-
项目类别:
-
资助金额:$12.35万
-
财政年份:2014
-
负责人:Michael J Daniels
-
依托单位:
RESOURCE CORE 3: BIOSTATISTICS AND DATA MANAGEMENT CORE
-
批准号:8206035
-
项目类别:
-
资助金额:$9.94万
-
财政年份:2007
-
负责人:Michael J Daniels
-
依托单位:
COVARIANCE ESTIMATION FOR LONGITUDINAL CANCER DATA
-
批准号:6497973
-
项目类别:
-
资助金额:$1.17万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
COVARIANCE ESTIMATION FOR LONGITUDINAL CANCER DATA
-
批准号:6628446
-
项目类别:
-
资助金额:$5.35万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
Bayesian methods for (incomplete) longitudinal Cancer data
-
批准号:7842674
-
项目类别:
-
资助金额:$10.44万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
Bayesian methods for (incomplete) longitudinal Cancer data
-
批准号:8267018
-
项目类别:
-
资助金额:$2.49万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
Bayesian methods for (incomplete) longitudinal Cancer data
-
批准号:8585519
-
项目类别:
-
资助金额:$9.08万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
Bayesian methods for (incomplete) longitudinal Cancer data
-
批准号:7649797
-
项目类别:
-
资助金额:$11.55万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
COVARIANCE ESTIMATION FOR LONGITUDINAL CANCER DATA
-
批准号:6661164
-
项目类别:
-
资助金额:$6.53万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
Bayesian methods for (incomplete) longitudinal Cancer data
-
批准号:8193260
-
项目类别:
-
资助金额:$10.11万
-
财政年份:2001
-
负责人:Michael J Daniels
-
依托单位:
Bayesian Methods for Longitudinal Cancer Data
-
批准号:7029008
-
项目类别:
-
资助金额:$12.33万
-
财政年份:2000
-
负责人:Michael J Daniels
-
依托单位:
Bayesian Methods for Longitudinal Cancer Data
-
批准号:6781385
-
项目类别:
-
资助金额:$10.01万
-
财政年份:2000
-
负责人:Michael J Daniels
-
依托单位:
海外基金