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'''Principal stratification''' is a [[statistical]] technique used in [[causal inference]] when adjusting results for post-treatment covariates. The idea is to identify underlying strata and then compute causal effects only within strata. It is a generalization of the local average treatment effect (LATE).

Principal stratification is a statistical technique used in causal inference when adjusting results for post-treatment covariates. The idea is to identify underlying strata and then compute causal effects only within strata. It is a generalization of the local average treatment effect (LATE).

主成分化是一种统计技术,用于因果推断时,调整结果的后处理协变量。这个想法是确定下面的地层,然后计算因果效应只有在地层。它是对局部平均处理效应(LATE)的概括。

==Example==
An example of principal stratification is where there is attrition in a randomized controlled trial. With a binary post-treatment covariate (e.g. attrition) and a binary treatment (e.g. "treatment" and "control") there are four possible strata in which subjects could be:
# those who always stay in the study regardless of which treatment they were assigned
# those who would always drop-out of the study regardless of which treatment they were assigned
# those who only drop-out if assigned to the treatment group
# those who only drop-out if assigned to the control group
If the researcher knew the stratum for each subject then the researcher could compare outcomes only within the first stratum and estimate a valid causal effect for that population. The researcher does not know this information, however, so modelling assumptions are required to use this approach.

An example of principal stratification is where there is attrition in a randomized controlled trial. With a binary post-treatment covariate (e.g. attrition) and a binary treatment (e.g. "treatment" and "control") there are four possible strata in which subjects could be:
# those who always stay in the study regardless of which treatment they were assigned
# those who would always drop-out of the study regardless of which treatment they were assigned
# those who only drop-out if assigned to the treatment group
# those who only drop-out if assigned to the control group
If the researcher knew the stratum for each subject then the researcher could compare outcomes only within the first stratum and estimate a valid causal effect for that population. The researcher does not know this information, however, so modelling assumptions are required to use this approach.

主成分分层的一个例子就是随机对照试验的磨损。使用二元后处理协变量(例如:。磨损)和二元处理(例如:。“治疗”和“控制”)有四个可能的阶层,受试者可以: # 那些总是留在研究中,不管他们被分配了哪种治疗 # 那些总是退出研究,不管他们被分配了哪种治疗 # 那些只有在分配给治疗组时才退出的人 # 那些只有在分配给对照组时才退出的人 # 如果研究人员知道每个受试者的阶层,那么研究人员只能比较第一阶层的结果,并估计出对该人群有效的因果关系。然而,研究人员并不知道这些信息,因此需要模型假设来使用这种方法。

Using the principal stratification framework also permits providing bounds for the estimated effect (under different bounding assumptions), which is common in situations with attrition.

Using the principal stratification framework also permits providing bounds for the estimated effect (under different bounding assumptions), which is common in situations with attrition.

使用主分层框架还允许为估计效应提供界限(在不同的界限假设下) ,这在磨蚀情况下很常见。

In applied evaluation research, principal strata are commonly referred to as "endogenous" strata or "subgroups" and involve specialized methods of analysis for examining the effects of interventions or treatments in the medical and social sciences.

In applied evaluation research, principal strata are commonly referred to as "endogenous" strata or "subgroups" and involve specialized methods of analysis for examining the effects of interventions or treatments in the medical and social sciences.

在应用评价研究中,主要阶层通常被称为”内生”阶层或”亚群体”,并涉及专门的分析方法,用以检查医学和社会科学中的干预或治疗的效果。

==See also==
*[[Instrumental variable]]
*[[Rubin causal model]]

*Instrumental variable
*Rubin causal model

= = = = = = = = 工具变量 · 虚拟事实模型

==References==
{{Reflist}}

*{{Cite journal|doi=10.1111/j.0006-341X.2002.00021.x |first1=Constantine E. |last1=Frangakis |first2=Donald B. |last2=Rubin |title=Principal stratification in causal inference |journal=Biometrics |volume=58 |issue=1 |pages=21–9 |date=March 2002 |pmid=11890317|pmc=4137767 }} [http://www.biostat.jhsph.edu/~cfrangak/papers/preffects.pdf Preprint]
* Zhang, Junni L.; Rubin, Donald B. (2003) "Estimation of Causal Effects via Principal Stratification When Some Outcomes are Truncated by "Death"", ''Journal of Educational and Behavioral Statistics'', 28: 353–368 {{doi|10.3102/10769986028004353}}
*Barnard, John; Frangakis, Constantine E.; Hill, Jennifer L.; Rubin, Donald B. (2003) "Principal Stratification Approach to Broken Randomized Experiments", ''[[Journal of the American Statistical Association]]'', 98, 299–323 {{doi|10.1198/016214503000071}}
*Roy, Jason; Hogan, Joseph W.; [[Bess Marcus|Marcus, Bess H.]] (2008) "Principal stratification with predictors of compliance for randomized trials with 2 active treatments", ''Biostatistics'', 9 (2), 277–289. {{doi|10.1093/biostatistics/kxm027}}
*Egleston, Brian L.; Cropsey, Karen L.; Lazev, Amy B.; Heckman, Carolyn J.; (2010) "A tutorial on principal stratification-based sensitivity analysis: application to smoking cessation studies", ''Clinical Trials'', 7 (3), 286–298. {{doi|10.1177/1740774510367811 }}
* Peck, L. R.; (2013) "On estimating experimental impacts on endogenous subgroups: Part one of a methods note in three parts", ''American Journal of Evaluation'', 34 (2), 225–236. {{doi|10.1177/1098214013481666}}

* Preprint
* Zhang, Junni L.; Rubin, Donald B. (2003) "Estimation of Causal Effects via Principal Stratification When Some Outcomes are Truncated by "Death"", Journal of Educational and Behavioral Statistics, 28: 353–368
*Barnard, John; Frangakis, Constantine E.; Hill, Jennifer L.; Rubin, Donald B. (2003) "Principal Stratification Approach to Broken Randomized Experiments", Journal of the American Statistical Association, 98, 299–323
*Roy, Jason; Hogan, Joseph W.; Marcus, Bess H. (2008) "Principal stratification with predictors of compliance for randomized trials with 2 active treatments", Biostatistics, 9 (2), 277–289.
*Egleston, Brian L.; Cropsey, Karen L.; Lazev, Amy B.; Heckman, Carolyn J.; (2010) "A tutorial on principal stratification-based sensitivity analysis: application to smoking cessation studies", Clinical Trials, 7 (3), 286–298.
* Peck, L. R.; (2013) "On estimating experimental impacts on endogenous subgroups: Part one of a methods note in three parts", American Journal of Evaluation, 34 (2), 225–236.


* Preprint

* Zhang, Junni L.; Rubin, Donald B.(2003)“当某些结果被“死亡”截断时,通过主成分分层估计因果效应”,《教育与行为统计学杂志》 ,28:353-368
* Barnard,John; Frangakis,Constantine e. ; Hill,Jennifer l. ; Rubin,Donald b。(2003)“破碎随机试验的主要分层方法”,《美国统计协会杂志》 ,98,299-323
* Roy,Jason; Hogan,Joseph w. ; Marcus,Bess h. (2008)“2个主动治疗的随机试验的依从性的主要分层预测因子”,《生物统计学》 ,9(2) ,277-289。
* Egleston,Brian l. ; Cropsey,Karen l. ; Lazev,Amy b. ; Heckman,Carolyn j. ; (2010)“关于基于主要分层的敏感度分析: 应用于戒烟研究的教程”,《临床试验》 ,7(3) ,286-298。
* Peck,l. r. ; (2013)“ On estimating experimental impacts On endogenous subgroups: Part one of a methods note in three parts”,American Journal of Evaluation,34(2) ,225-236。

{{DEFAULTSORT:Principal Stratification}}
[[Category:Causal inference]]
[[Category:Statistical methods]]


Category:Causal inference
Category:Statistical methods

类别: 因果推理类别: 统计方法


{{statistics-stub}}

<noinclude>

<small>This page was moved from [[wikipedia:en:Principal stratification]]. Its edit history can be viewed at [[主分层/edithistory]]</small></noinclude>

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