多变量的有限混合t<注释>$$ t $$</注释> 线性混合效应模型对于经过审查的纵向数据与同时存在的共变量
Tsung-I Lin1,2, Wan-Lun Wang3
1Institute of Statistics, National Chung Hsing University, Taichung, Taiwan.
Statistics in medicine
|January 22, 2026
概括
有限混合模型在临床试验中聚合了纵向生物标志物数据. 新的方法处理被审查的数据和共变量依赖的模式,改进疾病进展和治疗效果的分析.
科学领域:
- 生物统计学 生物统计学
- 临床试验 临床试验
- 纵向数据分析 纵向数据分析
背景情况:
- 纵向生物标志物的聚类有助于了解临床结果,疾病进展和治疗效应.
- 多变量t线性混合效应 (FM-MtLME) 模型的有限混合有效地聚合了具有组内相似性的纵向轨迹.
研究的目的:
- 扩展FM-MtLME模型以适应被审查的结果,创建FM-MtLME与审查 (FM-MtLMEC) 模型.
- 进一步开发该模型,包括使用物流链接的共变量依赖混合比例,从而产生EFM-MtLMEC模型.
主要方法:
- 开发两个高效的基于EM的算法,用于参数估计.
- 拟议的FM-MtLMEC和EFM-MtLMEC模型应用于通过审查病毒载量测量对艾滋病数据的应用.
- 进行模拟研究以评估开发方法的性能.
主要成果:
- 开发的方法有效地处理混合模型中的经过审查的纵向数据.
- 在EFM-MtLMEC模型中,成功地结合了共变量依赖的混合比例.
- 通过对艾滋病数据的分析和模拟研究来证明其实用性.
结论:
- FM-MtLMEC和EFM-MtLMEC模型为对受审查的纵向数据进行集群提供了强大的框架.
- 这些先进的统计模型增强了临床试验中疾病进展和治疗效果的分析.
- 基于EM的高效算法在生物统计学研究中有助于实际应用.
相关概念视频
Censoring Survival Data
531
Survival analysis is a statistical method used to analyze time-to-event data, often employed in fields such as medicine, engineering, and social sciences. One of the key challenges in survival analysis is dealing with incomplete data, a phenomenon known as "censoring." Censoring occurs when the event of interest (such as death, relapse, or system failure) has not occurred for some individuals by the end of the study period or is otherwise unobservable, and it might have many different...
531
Longitudinal Research
13.1K
Sometimes we want to see how people change over time, as in studies of human development and lifespan. When we test the same group of individuals repeatedly over an extended period of time, we are conducting longitudinal research. Longitudinal research is a research design in which data-gathering is administered repeatedly over an extended period of time. For example, we may survey a group of individuals about their dietary habits at age 20, retest them a decade later at age 30, and then again...
13.1K
Mixtures of Acids
21.6K
The pH of a solution containing an acid can be determined using its acid dissociation constant and its initial concentration. If a solution contains two different acids, then its pH can be determined using one of several methods depending upon the relative strength of the acids and their dissociation constants.
A Mixture of a Strong Acid and a Weak Acid
In a mixture of a strong acid and a weak acid, the strong acid dissociates completely and becomes a source of almost all the hydronium ions...
A Mixture of a Strong Acid and a Weak Acid
In a mixture of a strong acid and a weak acid, the strong acid dissociates completely and becomes a source of almost all the hydronium ions...
21.6K
Mixtures of Acids
1.1K
The pH of a solution containing an acid can be determined using its acid dissociation constant and initial concentration. If a solution contains two different acids, then its pH can be determined using one of several methods depending on the relative strength of the acids and their dissociation constants.
In a strong and weak acid mixture, the strong acid dissociates completely and becomes a source of almost all the hydronium ions present in the solution. In contrast, the weak acid shows...
In a strong and weak acid mixture, the strong acid dissociates completely and becomes a source of almost all the hydronium ions present in the solution. In contrast, the weak acid shows...
1.1K
Theory of Attribution II: Kelley's Covariation Theory
536
Attribution theory plays a crucial role in social psychology, helping to explain how individuals interpret the causes of behavior. One prominent model within this field is Harold Kelley's covariation theory, which provides a systematic approach to determining whether internal traits or external circumstances drive a person's actions. The model posits that individuals rely on three key types of information—consensus, consistency, and distinctiveness—to make these judgments.Consensus:...
536
Linear Circuits
837
A linear circuit is characterized by its output having a direct proportionality to its input, adhering to the linearity property, which encompasses the principles of homogeneity (scaling) and additivity. Homogeneity dictates that when the input, also referred to as the excitation, is multiplied by a constant factor, the output, known as the response, is correspondingly scaled by the same constant factor. For instance, if the current is multiplied by a constant 'k,' the voltage likewise...
837


