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In statistics, the Sobel test is a method of testing the significance of a mediation effect. The test is based on the work of Michael E. Sobel, a statistics professor at Columbia University in New York, NY, and is an application of the delta method. In mediation, the relationship between the independent variable and the dependent variable is hypothesized to be an indirect effect that exists due to the influence of a third variable (the mediator). As a result when the mediator is included in a regression analysis model with the independent variable, the effect of the independent variable is reduced and the effect of the mediator remains significant. The Sobel test is basically a specialized t test that provides a method to determine whether the reduction in the effect of the independent var

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  • Sobel test (en)
  • Test Sobela (pl)
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  • In statistics, the Sobel test is a method of testing the significance of a mediation effect. The test is based on the work of Michael E. Sobel, a statistics professor at Columbia University in New York, NY, and is an application of the delta method. In mediation, the relationship between the independent variable and the dependent variable is hypothesized to be an indirect effect that exists due to the influence of a third variable (the mediator). As a result when the mediator is included in a regression analysis model with the independent variable, the effect of the independent variable is reduced and the effect of the mediator remains significant. The Sobel test is basically a specialized t test that provides a method to determine whether the reduction in the effect of the independent var (en)
  • Test Sobela (ang. Sobel test) – test istotności statystycznej modelu analizy mediacji. Jest to szczególna, zmodyfikowana postać testu t. Zastosowanie testu Sobela pozwala odpowiedzieć na pytanie, czy zmniejszenie efektu zmiennej niezależnej na zmienną zależną (po uwzględnieniu mediatora) jest istotnym zmniejszeniem i czy w związku z tym efekt mediacji jest statystycznie istotny. Test Sobela jest uważany za bardzo konserwatywny i w związku z tym ma bardzo małą moc statystyczną. (pl)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Basic_Mediation_Diagram.png
  • http://commons.wikimedia.org/wiki/Special:FilePath/Sobel_Test_Venn_Diagram.png
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  • May 2012 (en)
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  • direct correspondence of areas to variance is doubtful (en)
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  • In statistics, the Sobel test is a method of testing the significance of a mediation effect. The test is based on the work of Michael E. Sobel, a statistics professor at Columbia University in New York, NY, and is an application of the delta method. In mediation, the relationship between the independent variable and the dependent variable is hypothesized to be an indirect effect that exists due to the influence of a third variable (the mediator). As a result when the mediator is included in a regression analysis model with the independent variable, the effect of the independent variable is reduced and the effect of the mediator remains significant. The Sobel test is basically a specialized t test that provides a method to determine whether the reduction in the effect of the independent variable, after including the mediator in the model, is a significant reduction and therefore whether the mediation effect is statistically significant. (en)
  • Test Sobela (ang. Sobel test) – test istotności statystycznej modelu analizy mediacji. Jest to szczególna, zmodyfikowana postać testu t. Zastosowanie testu Sobela pozwala odpowiedzieć na pytanie, czy zmniejszenie efektu zmiennej niezależnej na zmienną zależną (po uwzględnieniu mediatora) jest istotnym zmniejszeniem i czy w związku z tym efekt mediacji jest statystycznie istotny. Test Sobela jest uważany za bardzo konserwatywny i w związku z tym ma bardzo małą moc statystyczną. Twórcą testu jest Michael E. Sobel, profesor Columbia University w Nowym Jorku. Swój pomysł na test przedstawił po raz pierwszy w publikacji z 1982 r. pt. Asymptotic confidence intervals for indirect effects in structural equation models (s. 290-312), będącej częścią pracy "Sociological Methodology", pod redakcją S. Leinhardta. (pl)
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