Moderation and mediation

24 important questions on Moderation and mediation

When do we speak of a moderation?

When another variable changes the relationship between two variables

How can you see from the graphs whether a variable is a moderator or not?

  • categorical: If the graph of people who have the moderator is equal to the people who don't have the moderator
  • continuous: if the graph of the relationship is equal on all levels of the moderator.

How can you statistically test whether a variable is a moderator?

If the interaction between the moderator and the predictor variable is a significant predictor in the regression of the outcome variable.
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Describe the regression formula with a moderator.

Outcome = b0 + b1predictor + b2moderator + b3interaction + error

In spss, what can you see in the table conditional effects?

Whether there is an effect between the variables at different levels of the moderator.

How do you check the assumption of a moderation analysis?

Do a regression analysis where you put the moderator and the predictor variable in the independent variable category, then check for multicollinearity after which you run the actual analysis

How do you run a moderation analysis in spss?

  1. Analyze -> Regression -> Process
  2. Outcome: Afhankelijke variabele
    Independent: Onafhankelijke variabele
    M variable(s): Moderator variabele
  3. Model number: 1
    • Mean center for products
    • Heteroscedasticity
    • OLS/ML confidence intervals
    • Generate data for plotting
  4. Options – Vink aan:
  5. Conditioning – Vink de ‘Johnson-Neyman’ aan
  6. Paste, run syntax

How do you check whether there's a moderation effect?

  • Check model summary
  • check on int_1;
  • if this is significant, there is a moderation effect.

What is the difference between a moderation effect and a mediation effect?

  • Moderator: influences the relationship between X and Y, there is an interaction effect between moderator and X
  • Mediator: causes an indirect influence of X on Y, so X influences Y through the mediator while also influencing Y directly.

What happens to the direct effect and indirect effect of a model when there is moderation?

  • The indirect effect will be larger once the moderator is included
  • the direct effect will be reduced or even be zero when the moderator is included, because the moderator is the reason that the relationship between X and Y is present.

How can you tell in spss whether mediation is present?

Check on indirect effect
if the confidence intervals don't contain 0, there is a significant mediation

What are the assumptions of a mediator analysis?

Multicollinearity

How do you check for multicollinearity in a mediation analysis?

Do a regression analysis where you put the mediator and the independent variable on independent variables, and the dependent variable on predictor variables.

When making a general linear model with a categorical predictor, how do you put the different groups in the model?

By dummy coding, assign numbers to the groups: 0 = first group, 1 = second group, etc.

What does a general linear model look like for a categorical predictor?

Y = b0 + b1X1

What is bo in a glm with a categorical predictor?

The mean of the group that is coded with 0.

What does the t-test in a regression with a categorical predictor with two categories test?

Whether the difference between means (so b1) is 0

How do we call a variable that changes the size or even the direction of a relation between two variables?

A moderator

Why do you perform grand mean centering on the b's in a model?

  • The b's represent relationship between their variable and the dependent variable when the other variables are zero.
  • normally this isn't a problem unless a variable being 0 is not possible (e.g. Heart rate)
  • 0 not being an option is the case of an interaction (moderator)
  • so the b's of main predictors aren't interpretable if an interaction is present.
  • to make them interpretable you grand mean centre the predictors.

What is grand mean centering?

Transforming a variable into deviations around a fixed point, in this case the grand mean.

What does the johnson-neyman table tell us?

The interval of values of the moderator where the moderator is not a significant moderator, so the interaction is not significant.

What does the data table for the scatterplot mean?

It shows the predicted values of the outcome variable for different values of the moderator and predictor variable.

What is the formula for regression with a moderator?

outcome = b0 + b1 * predictor + b2 * moderator + b3 * interaction p*m + errori

What is the formula of calculating the ratio of indirect effect size to total effect size, or indirect effect size?

  • indirect effect size/total effect size
  • indirect effect size/direct effect size

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