2014
DOI: 10.1111/rssb.12085
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Causal Inference from 2K Factorial Designs by Using Potential Outcomes

Abstract: A framework for causal inference from two-level factorial designs is proposed, which uses potential outcomes to define causal effects. The paper explores the effect of non-additivity of unit level treatment effects on Neyman's repeated sampling approach for estimation of causal effects and on Fisher's randomization tests on sharp null hypotheses in these designs. The framework allows for statistical inference from a finite population, permits definition and estimation of estimands other than 'average factorial… Show more

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Cited by 77 publications
(137 citation statements)
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“…To ensure self-containment, we first review the randomization-based causal inference framework for completely randomized factorial designs. Although most materials are adapted from Dasgupta et al (2015) and Lu (2016a,b), some are refined for better clarity. For more detailed discussions on factorial designs, see, e.g., Wu and Hamada (2009).…”
Section: Factorial Designsmentioning
confidence: 99%
See 1 more Smart Citation
“…To ensure self-containment, we first review the randomization-based causal inference framework for completely randomized factorial designs. Although most materials are adapted from Dasgupta et al (2015) and Lu (2016a,b), some are refined for better clarity. For more detailed discussions on factorial designs, see, e.g., Wu and Hamada (2009).…”
Section: Factorial Designsmentioning
confidence: 99%
“…To investigate multiple factors simultaneously, 2 K factorial designs (Fisher 1935;Yates 1937) can be employed. Randomization-based casual inference for factorial designs has deep roots in the experimental design literature (e.g., Kempthrone 1952), and was recently presented using the language of potential outcomes (Dasgupta et al 2015;Mukerjee et al 2016).…”
Section: Introductionmentioning
confidence: 99%
“…The calculated sample size was based on detecting the main factorial effects of each factor on Multidimensional Fatigue Inventory (MFI) Physical Fatigue (PF) after completed intervention [3234]. The target main effect size was determined to be 2, which according to Purcell et al [35] is the minimal clinically important difference for the MFI-PF.…”
Section: Methodsmentioning
confidence: 99%
“…Motivated by several relevant discussions in the existing literature (Freedman 2008;Lin 2013;Dasgupta et al 2015;Ding and Dasgupta 2016;Ding 2017), Lu (2016a,b) proved the consistency and asymptotic Normality of the randomization-based estimator in (2), and derived its sampling variance as…”
Section: Otherwise;mentioning
confidence: 99%