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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 [[Statistics/Variance|variance]] of ''β,,2,,β,,3,,''.
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The calculated test statistic is then compared to a [[Statistics/TestStatistic|critical value]] from either a [[Statistics/NormalDistribution#Standard_Normal_Distribution|Z]] or [[Statistic/StudentsTDistribution|t distribution]]. 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.


Description

The hypothesis is formulated such that the association between an independent and dependent variable is an indirect effect through a mediator.

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In these pictured terms, the Sobel test statistic is calculated as:

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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.


CategoryRicottone

Statistics/SobelTest (last edited 2026-02-17 15:46:13 by DominicRicottone)