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| The '''Sobel test''' is a test for [[Statistics/MediationAnalysis|mediation]]. | The '''Sobel test''' is a test for [[Statistics/Mediator|mediation]]. |
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| The hypothesis is formulated such that the relationship between an independent and dependent variable is an '''indirect effect''' through a '''mediator variable'''. | The hypothesis is formulated such that the association between an independent and dependent variable is an '''indirect effect''' through a [[Statistics/Mediator|mediator]]. |
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| The current practice is to instead use a bootstrapping method to estimate the variance of ''β,,2,,*β,,3,''. | The current practice is to instead use a bootstrapping method to estimate the [[Analysis/Variance|variance]] of ''β,,2,,β,,3,,''. The calculated test statistic is then compared to a [[Statistics/TestStatistic|critical value]] from either a [[Analysis/NormalDistribution#Standard_Normal_Distribution|Z]] or [[Analysis/StudentsTDistribution|t distribution]]. |
Sobel Test
The Sobel test is a test for mediation.
Contents
Description
The hypothesis is formulated such that the association between an independent and dependent variable is an indirect effect through a mediator.
In these pictured terms, the Sobel test statistic is calculated as:
The current practice is to instead use a bootstrapping method to estimate the variance of β2β3.
The calculated test statistic is then compared to a critical value from either a Z or t distribution.