| 来源类型 | Publication
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| Statistical Power for the Comparative Regression Discontinuity Design with a Pretest No-Treatment Control Function: Theory and Evidence from the National Head Start Impact Study |
| Yang Tang; Thomas D. Cook
|
| 发表日期 | 2018-02-28
|
| 出版者 | Evaluation Review, vol. 42, no. 1
|
| 出版年 | 2018
|
| 语种 | 英语
|
| 概述 | The basic regression discontinuity design (RDD) has less statistical power than a randomized control trial (RCT) with the same sample size.", |
| 摘要 | The basic regression discontinuity design (RDD) has less statistical power than a randomized control trial (RCT) with the same sample size. Adding a no-treatment comparison function to the basic RDD creates a comparative RDD (CRD); and when this function comes from the pretest value of the study outcome, a CRD-Pre design results. We use a within-study comparison (WSC) to examine the power of CRD-Pre relative to both basic RDD and RCT. We first build the theoretical foundation for power in CRD-Pre, then derive the relevant variance formulae, and finally compare them to the theoretical RCT variance. We conclude from this theoretical part of this article that (1) CRD-Pre’s power gain depends on the partial correlation between the pretest and posttest measures after conditioning on the assignment variable, (2) CRD-Pre is less responsive than basic RDD to how the assignment variable is distributed and where the cutoff is located, and (3) under a variety of conditions, the efficiency of CRD-Pre is very close to that of the RCT. Data from the National Head Start Impact Study are then used to construct RCT, RDD, and CRD-Pre designs and to compare their power. The empirical results indicate (1) a high level of correspondence between the predicted and obtained power results for RDD and CRD-Pre relative to the RCT, and (2) power levels in CRD-Pre and RCT that are very close. The study is unique among WSCs for its focus on the correspondence between RCT and observational study standard errors rather than means. |
| URL | https://www.mathematica.org/our-publications-and-findings/publications/statistical-power-for-the-comparative-regression-discontinuity-design-with-a-pretest-no-treatment
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| 来源智库 | Mathematica Policy Research (United States)
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/489158
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推荐引用方式
GB/T 7714 |
Yang Tang,Thomas D. Cook. Statistical Power for the Comparative Regression Discontinuity Design with a Pretest No-Treatment Control Function: Theory and Evidence from the National Head Start Impact Study. 2018.
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