论文标题
一个几乎相似的调解测试
A Nearly Similar Powerful Test for Mediation
论文作者
论文摘要
本文推出了一种易于使用的新功能调解测试。在心理学，社会学，医学，经济学和商业中，对调解的测试在经验上非常重要，对单个关键论文产生了100,000多次引用。 NO-DEDIATION假设$ H_ {0}：θ_{1}θ_{2} = 0 $也构成了一个理论上有趣的统计问题，因为它定义了一种流形，该流形在原始角度不规则，而标准测试的拒绝概率非常低。我们证明，仅当大小是整数的倒数时，才存在类似的调解测试。它是独特的，但具有令人反感的特性。我们提出了一项新测试，该测试几乎与靠近信封的功率相似，而没有这些掩盖属性，并且在实践中易于使用。施工使用我们建议的一般$ g $ -thod。我们在具有性别角色信念和工会情感申请中的教育环境中说明了结果。
This paper derives a new powerful test for mediation that is easy to use. Testing for mediation is empirically very important in psychology, sociology, medicine, economics and business, generating over 100,000 citations to a single key paper. The no-mediation hypothesis $H_{0}:θ_{1}θ_{2}=0$ also poses a theoretically interesting statistical problem since it defines a manifold that is non-regular in the origin where rejection probabilities of standard tests are extremely low. We prove that a similar test for mediation only exists if the size is the reciprocal of an integer. It is unique, but has objectionable properties. We propose a new test that is nearly similar with power close to the envelope without these abject properties and is easy to use in practice. Construction uses the general varying $g$-method that we propose. We illustrate the results in an educational setting with gender role beliefs and in a trade union sentiment application.
