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24. SPSS AMOS | Concept of Mediation Analysis (Part 1) thumbnail

24. SPSS AMOS | Concept of Mediation Analysis (Part 1)

Research With Fawad·
5 min read

Based on Research With Fawad's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

Mediation tests whether X’s effect on Y operates directly, indirectly through a mediator M, or both.

Briefing

Mediation analysis in AMOS is built to answer a simple but powerful question: does the effect of an independent variable on an outcome happen only directly, or does it travel indirectly through a third variable (the mediator)? In this framework, the mediator “intervenes” in the relationship between X and Y by receiving influence from X and then transmitting it to Y. That setup matters because it distinguishes mechanisms (how effects occur) from mere associations (whether effects exist).

The core bookkeeping in mediation uses three effect types. The total effect of X on Y is the combined impact when no mediator path is specified—often represented as the relationship between X and Y alone (labeled C in the lecture). Once the mediator M is included, the direct effect becomes the remaining X→Y link while controlling for M (labeled C′, or “C complement”). The indirect effect captures the mediated pathway X→M→Y and is computed as the product of two path coefficients: A (X→M) and B (M→Y). In other words, indirect effect = A×B, and total effect = direct effect (C′) + indirect effect (A×B).

Different mediation patterns follow from whether the direct and indirect components are significant and whether they move in the same or opposite directions. Partial mediation occurs when both the indirect effect (A×B) and the direct effect (C′) are significant, meaning some influence runs through the mediator while some still passes directly. Full mediation describes the case where the indirect effect is significant but the direct effect is insignificant—so the effect of X on Y is carried entirely through M. The lecture also distinguishes complementary mediation (direct and indirect effects share the same sign, such as both positive) from competitive mediation (direct and indirect effects have opposite signs, such as a negative direct effect paired with a positive indirect effect).

Testing mediation has evolved. The classic Baron and Kenny (1986) approach used a four-step sequence: first verify that X affects Y (the C path) without the mediator; then show X affects M (A path); then show both X→M and M→Y are significant (A and B); finally test the model with X, M, and Y together to determine whether mediation exists and what type. Critiques targeted the reliance on significance testing of unstandardized coefficients and, in particular, the use of the Sobel test. The lecture notes that the C path no longer needs to be significant for mediation to occur, because suppressor effects can hide the total effect even when the indirect effect is real. It also rejects the requirement that A and B must each be individually significant, since the indirect effect depends on their product.

The revised, more accepted strategy focuses directly on the indirect effect A×B and its sampling distribution. Because Sobel-style assumptions are considered flawed, bootstrap methods are recommended: repeatedly resample the data with replacement (often thousands of times) to build a confidence interval for the indirect effect. If the interval excludes zero, mediation is supported. The lecture then sets up an AMOS example: testing whether authentic leadership influences life satisfaction indirectly through self-efficacy, while also including a direct path from authentic leadership to life satisfaction to determine whether the mediation is partial, full, complementary, or competitive.

Cornell Notes

Mediation analysis tests whether an independent variable’s effect on an outcome runs through a mediator. The total effect of X on Y splits into a direct effect (C′, X→Y while controlling for M) and an indirect effect (A×B, where A is X→M and B is M→Y). Partial mediation occurs when both direct and indirect effects are significant; full mediation occurs when the indirect effect is significant but the direct effect is not. Complementary mediation means direct and indirect effects share the same sign, while competitive mediation means they differ in sign. Modern mediation testing emphasizes bootstrapping the indirect effect A×B rather than relying on Baron & Kenny’s stepwise significance rules or Sobel tests.

How do direct, indirect, and total effects relate in mediation analysis?

Direct effect (C′) is the X→Y relationship after including the mediator M in the model. Indirect effect is the mediated pathway X→M→Y and is calculated as A×B, where A is the coefficient for X→M and B is the coefficient for M→Y. Total effect equals the combined influence: total effect = direct effect (C′) + indirect effect (A×B). When no mediator is included, the X→Y relationship is treated as the total effect (often labeled C).

What distinguishes partial mediation from full mediation?

Partial mediation occurs when the indirect effect (A×B) is significant and the direct effect (C′) is also significant, indicating that some influence goes through M and some remains direct. Full mediation occurs when the indirect effect is significant but the direct effect (C′) is insignificant, meaning the effect of X on Y is transmitted entirely through the mediator M.

What are complementary vs. competitive mediation?

Complementary mediation happens when the direct effect and indirect effect have the same direction (for example, both positive). Competitive mediation happens when the direct and indirect effects move in opposite directions—such as a negative direct effect paired with a positive indirect effect—so the mediated pathway and the controlled direct pathway “compete” in sign.

Why did Baron & Kenny’s original mediation testing approach get criticized?

The Baron & Kenny framework relied on stepwise significance testing (including requiring a significant C path and requiring A and B to be significant) and used Sobel-style logic for significance. The lecture highlights that these requirements are not necessary: mediation can exist even if the C path is nonsignificant due to suppressor effects, and A or B can be nonsignificant individually while their product A×B still yields a significant indirect effect.

How does bootstrapping improve mediation testing compared with Sobel tests?

Bootstrapping repeatedly resamples the dataset with replacement to create many pseudo-samples (often thousands). For each resample, it recalculates the indirect effect A×B, building an empirical sampling distribution. The method then uses a confidence interval for A×B; if the interval does not include zero, the indirect effect is significant. The lecture also notes that results can vary across runs because each bootstrap sample differs, so a fixed seed can be used to reproduce results.

In the AMOS example, what are the variables and paths in the mediation model?

The example tests whether authentic leadership affects life satisfaction indirectly through self-efficacy. Authentic leadership is the independent variable (X), self-efficacy is the mediator (M), and life satisfaction is the dependent variable (Y). The model includes a direct path from authentic leadership to life satisfaction (C′) to identify the mediation type, plus the indirect pathway via authentic leadership→self-efficacy (A) and self-efficacy→life satisfaction (B).

Review Questions

  1. In a mediation model, how would you compute the indirect effect and how does it combine with the direct effect to form the total effect?
  2. Under what conditions would you label mediation as full versus partial, and how would complementary differ from competitive mediation?
  3. Why can mediation exist even when the total effect (C path) is nonsignificant, and how does bootstrapping address this in practice?

Key Points

  1. 1

    Mediation tests whether X’s effect on Y operates directly, indirectly through a mediator M, or both.

  2. 2

    Indirect effect is computed as the product A×B, where A is X→M and B is M→Y.

  3. 3

    Direct effect (C′) is the X→Y relationship after controlling for the mediator, while total effect equals direct plus indirect.

  4. 4

    Partial mediation occurs when both direct (C′) and indirect (A×B) effects are significant; full mediation occurs when only the indirect effect is significant.

  5. 5

    Complementary mediation has direct and indirect effects with the same sign; competitive mediation has opposite signs.

  6. 6

    Baron & Kenny’s stepwise significance requirements (including a significant C path and significant A and B) are not treated as necessary in modern practice.

  7. 7

    Bootstrap confidence intervals for A×B are the preferred way to test mediation significance when Sobel-style methods are considered unreliable.

Highlights

Indirect effect in mediation is the product A×B, and total effect equals direct effect (C′) plus indirect effect.
Full mediation means the direct path X→Y becomes insignificant once the mediator is included, even though the mediated pathway remains significant.
Mediation can exist despite a nonsignificant total effect (C path) because suppressor effects can mask it.
Bootstrap resampling builds a confidence interval for A×B by repeatedly sampling with replacement, often thousands of times.
Including a direct path from authentic leadership to life satisfaction helps determine whether mediation is partial, full, complementary, or competitive.

Topics

  • Mediation Analysis
  • Direct vs Indirect Effects
  • Bootstrap Testing
  • Baron Kenny Framework
  • AMOS Mediation Model

Mentioned

  • Baron Kenny
  • David A. Kenny
  • Sobel
  • AMOS
  • IV
  • DV
  • SCM
  • OS