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arXiv 2203.10469stat.ME
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基于功率分析的干扰下随机化检验的改进

Improving Randomization Tests under Interference Based on Power Analysis

Mizuho Yanagi, Tomonari Sei

摘要:

在因果推断中,我们可以考虑这样一种情况,即对一个单元的处理影响到其他单元,即,干扰存在。在存在干扰的情况下,我们不能直接进行经典的随机化检验,因为原假设并不精确。相反,我们需要执行随机化测试,仅限于使原假设尖锐的单位和分配的子集。以前的研究构造了一个有用的测试方法,biclique测试,通过减少适当的子集的选择,在二分图中搜索biclique。然而,由于功率取决于所选子集的特征,因此仍然存在通过改进选择过程来提高功率的空间。在本文中,我们提出了一种方法来改进的biclique测试的基础上的权力评估的随机化测试。我们明确地推导出一个表达式的权力的随机化测试在几个假设下,并发现,一定数量的计算从一个给定的分配集的特点的权力。基于这一事实,我们提出了一种方法来提高的权力的biclique测试修改的选择规则的子集的单位和分配。通过空间干扰设置的仿真,我们证实了所提出的方法具有更高的功率比现有的方法。

英文摘要:

In causal inference, we can consider a situation in which treatment on one unit affects others, i.e., interference exists. In the presence of interference, we cannot perform a classical randomization test directly because a null hypothesis is not sharp. Instead, we need to perform the randomization test restricted to a subset of units and assignments that makes the null hypothesis sharp. A previous study constructed a useful testing method, a biclique test, by reducing the selection of the appropriate subsets to searching for bicliques in a bipartite graph. However, since the power depends on the features of selected subsets, there is still room to improve the power by refining the selection procedure. In this paper, we propose a method to improve the biclique test based on a power evaluation of the randomization test. We explicitly derived an expression for the power of the randomization test under several assumptions and found that a certain quantity calculated from a given assignment set characterizes the power. Based on this fact, we propose a method to improve the power of the biclique test by modifying the selection rule for subsets of units and assignments. Through a simulation with a spatial interference setting, we confirm that the proposed method has higher power than the existing method.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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