Does the effect of X on Y depend on W?

How to run and report moderation in APA 7

Moderation tests whether a relationship changes strength or direction across levels of a third variable. Statistically it is an interaction term; conceptually it is a claim about boundary conditions.

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When to use it

  • •You expect an effect to hold more strongly for some people, or in some contexts, than others.
  • •You have a theoretical reason for the interaction — fishing for significant interactions is a well-known route to unreplicable findings.
  • •Your predictor, moderator and outcome are all measured continuously (or the moderator is categorical).

Assumptions to check first

  • •The same assumptions as linear regression, since that is what is running underneath.
  • •Predictor and moderator mean-centred (or standardised) before forming the product term, to keep the lower-order coefficients interpretable.
  • •Enough power — interaction effects are typically much smaller than main effects and need larger samples to detect.

What to report

  • •The interaction term's coefficient, with its standard error, t and p.
  • •The change in R² attributable to the interaction.
  • •Simple slopes at meaningful levels of the moderator — conventionally ±1 SD — each with its own significance test.
  • •A plot of the interaction, which communicates the finding far better than the coefficient does.

APA 7 example

The interaction between workload and support was significant, B = −0.18, SE = 0.06, t = −3.02, p = .003, ΔR² = .04. Simple slopes showed workload predicted burnout strongly at low support (B = 0.44, p < .001) but not at high support (B = 0.08, p = .34).

Numbers are illustrative — the Advisor generates this sentence with your own results.

The mistake reviewers catch

Without centring, the "main effects" in a moderation model are conditional effects at zero on the other variable — which is often a value that cannot exist, like zero years of age.

Run it on your own data

Paste or upload your dataset — nothing leaves your browser. The Analysis Advisor checks the assumptions above, runs moderation, and drafts the APA Methods and Results text with your numbers in it.

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Frequently asked questions

When should I use moderation?

Does the effect of X on Y depend on W? You expect an effect to hold more strongly for some people, or in some contexts, than others.

What do I need to report for moderation in APA 7?

The interaction term's coefficient, with its standard error, t and p. The change in R² attributable to the interaction. Simple slopes at meaningful levels of the moderator — conventionally ±1 SD — each with its own significance test. A plot of the interaction, which communicates the finding far better than the coefficient does.

What is the most common mistake with moderation?

Without centring, the "main effects" in a moderation model are conditional effects at zero on the other variable — which is often a value that cannot exist, like zero years of age.