A Nearly Similar Powerful Test for Mediation
提出一种新的强效且简便的中介效应检验方法，解决了标准检验在原点处拒绝概率极低的问题，并引入变g方法构建近乎相似的检验，在教育场景中验证了其有效性。
Abstract We derive a new powerful, simple test for mediation. Testing for mediation is empirically important and the no-mediation hypothesis H0:θ1θ2=0 poses a theoretical problem, nonregular at the origin, where standard tests have extremely low rejection probabilities. We prove that a similar test only exists if 1/α∈N. It is unique, but with unfortunate properties. An innovative varying-g method is introduced to derive a nearly similar test, gopt, with power close to the envelope without these undesirable properties, and a second, less similar test, g1.2, with more empirical appeal. Results are illustrated in an educational setting.