2013
DOI: 10.3102/0162373713493129
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What Would It Take to Change an Inference? Using Rubin’s Causal Model to Interpret the Robustness of Causal Inferences

Abstract: We contribute to debate about causal inferences in educational research in two ways. First, we quantify how much bias there must be in an estimate to invalidate an inference. Second, we utilize Rubin's causal model to interpret the bias necessary to invalidate an inference in terms of sample replacement. We apply our analysis to an inference of a positive effect of Open Court Curriculum on reading achievement from a randomized experiment, and an inference of a negative effect of kindergarten retention on readi… Show more

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Cited by 265 publications
(245 citation statements)
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References 81 publications
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“…In response, we quantify how much of the estimated effect of potential provider entropy must be due to sampling bias to invalidate our inference (Frank & Min, 2007). In particular, to invalidate our inference, one would have to replace one-third (about 7) of our schools with other schools in which there was no effect (Frank et al, 2013). 14 Note that our sample differed from state averages on percent free and reduced lunches and percent white by only 12 percent.…”
Section: Concerns About Sampling Bias (External Validity)mentioning
confidence: 99%
“…In response, we quantify how much of the estimated effect of potential provider entropy must be due to sampling bias to invalidate our inference (Frank & Min, 2007). In particular, to invalidate our inference, one would have to replace one-third (about 7) of our schools with other schools in which there was no effect (Frank et al, 2013). 14 Note that our sample differed from state averages on percent free and reduced lunches and percent white by only 12 percent.…”
Section: Concerns About Sampling Bias (External Validity)mentioning
confidence: 99%
“…For the estimates π 01j and π 11j , we tested the sensitivity of our inferences to plausible departures from the unconfoundedness assumption, using the procedure of Frank et al (2013). The goal of the sensitivity analysis is to account for the possibility of conditions that could invalidate our inferences due to bias from non-random assignment to treatment conditions, such as heterogeneous school policies or unmeasured parental decision factors.…”
Section: Sensitivity Analysesmentioning
confidence: 99%
“…Specifically, we determined the proportion of our estimate that would need to arise from bias in order to invalidate our inference, that is, the invalidating proportions (IP). Frank et al (2013) provide the following quantification of this proportion:…”
Section: Sensitivity Analysesmentioning
confidence: 99%
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“…Of course, no single research design is definitive. Most randomized controlled trials have great strength in establishing causality within the sample but caution is required in generalizing beyond the sample (15). In Asensio and Delmas's study, the sample is limited to university apartments in southern California, so replications are needed to see how altruistic appeals will work in other contexts.…”
Section: Next Stepsmentioning
confidence: 99%