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24. SEMinR Lecture Series. Simple Mediation Analysis thumbnail

24. SEMinR Lecture Series. Simple Mediation Analysis

Research With Fawad·
5 min read

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TL;DR

Mediation in SEMinR is assessed through an indirect pathway: independent → mediator → dependent, with the indirect effect computed as P1 × P2.

Briefing

Mediation analysis in SEMinR hinges on a simple causal chain: changes in an exogenous construct affect a mediator, which then drives changes in an endogenous construct. In the PLS path model framing used here, the indirect effect is computed as the product of two path coefficients—P1 (independent → mediator) and P2 (mediator → dependent)—and the total effect combines the direct and indirect components. The practical payoff is deciding whether the relationship between independent and dependent variables runs partly (or fully) through the mediator, and whether that mediation is complementary or competitive.

Before any mediation test, the workflow demands that measurement and structural quality criteria are satisfied. For reflective mediator constructs, reliability and validity matter because weak measurement can shrink estimated indirect effects, making mediation look smaller than it truly is. The same discipline extends to the structural model: collinearity must be checked because high collinearity can bias path coefficients, sometimes turning a direct effect insignificant even when mediation exists (including cases like complementary mediation). Discriminant validity problems can also distort indirect effects, producing misleading conclusions about whether mediation exists and what type it is.

Once measurement reliability/validity and structural assumptions are in place, the mediation procedure follows a significance logic tied to P1, P2, and P3. First, the indirect effect is tested by bootstrapping the model and checking whether the relevant indirect effect is statistically significant. With one mediator, the “total indirect effect” and the “specific indirect effect” coincide; with multiple mediators, specific indirect effects must be evaluated separately.

In the worked example, the model tests whether “collaborative culture” mediates between “vision” and “organizational performance.” The analysis begins by estimating the SEMinR model (vision → collaborative culture → organizational performance) and running bootstrapping to obtain confidence intervals and significance for the indirect path. The indirect effect from vision to organizational performance through collaborative culture is found significant (the confidence interval excludes zero), supporting the claim that collaborative culture mediates the vision–organizational performance link.

The next step determines mediation type by checking whether the direct effect (P3: vision → organizational performance) remains significant. If both the direct effect and the indirect effect are significant, the result is partial mediation; if the direct effect is insignificant while the indirect effect is significant, it becomes full mediation. In this illustration, the direct path is significant, so the mediation is partial.

Finally, the mediation is classified as complementary or competitive by examining the sign relationship among paths. The product of the relevant coefficients (P1 × P2 × P3) indicates whether the mediator’s effect aligns with (complementary) or opposes (competitive) the direct effect. Here, the product is positive, indicating complementary mediation. The session closes with a reminder that the same logic generalizes to more complex models, where multiple mediators require specific indirect-effect functions and more elaborate interpretation.

Cornell Notes

Mediation analysis in SEMinR tests whether an independent variable affects a dependent variable through a mediator. The indirect effect is calculated as the product of two path coefficients: P1 (independent → mediator) and P2 (mediator → dependent), and it is evaluated for significance using bootstrapping. After confirming the indirect effect is significant, the direct effect P3 (independent → dependent) determines mediation type: significant P3 implies partial mediation, while insignificant P3 implies full mediation. Complementary vs competitive mediation is determined by the sign of the product P1 × P2 × P3. Reliable and valid measurement models plus low collinearity in the structural model are required; otherwise indirect effects can be biased or misleading.

Why does SEMinR mediation analysis require reliability/validity checks before testing indirect effects?

Because weak measurement—especially low reliability for reflective mediator constructs—can distort the estimated paths that form the indirect effect. The session warns that unreliable mediators can make indirect effects “considerably smaller than expected,” potentially causing false negatives for mediation. It also stresses discriminant validity: if the mediator is not distinct from exogenous/endogenous constructs, indirect effects can become biased and lead to incorrect claims about whether mediation exists or what type it is.

How is the indirect effect computed and what does it represent in the PLS path model?

The indirect effect represents the influence of the independent variable on the dependent variable through the mediator. It is computed as the product of P1 (independent → mediator) and P2 (mediator → dependent). Visually, it corresponds to the sequence of arrows independent → mediator → dependent, capturing the mediated pathway rather than the single-arrow direct relationship.

What bootstrapping step is used to test whether mediation is statistically significant?

The workflow estimates the SEMinR model, then bootstraps the estimated model (using the bootstrap summary object) to obtain significance evidence for indirect effects. The session emphasizes inspecting the indirect effects element in the bootstrap summary object and checking whether the confidence interval excludes zero. With one mediator, the total indirect effect and specific indirect effect coincide; with multiple mediators, specific indirect effects must be evaluated separately.

How does the analysis distinguish partial mediation from full mediation?

After the indirect effect is confirmed significant, the direct effect P3 (independent → dependent) is tested. If P3 is significant as well, the mediation is partial (both direct and indirect paths contribute). If P3 is not significant while the indirect effect is significant, the mediation is full (the effect runs through the mediator only).

How is complementary vs competitive mediation determined?

By the sign of the product P1 × P2 × P3. A positive product indicates complementary mediation (direct and indirect effects align in sign). A negative product indicates competitive mediation (direct and indirect effects oppose each other). In the example, the product is positive, so the mediation is complementary.

Review Questions

  1. What conditions must be satisfied in measurement and structural models before interpreting indirect effects in SEMinR mediation analysis?
  2. In a mediation model with one mediator, how do total indirect effects relate to specific indirect effects, and how is significance assessed?
  3. If the indirect effect is significant but the direct effect is not, what mediation type results, and how would you justify it using P1, P2, and P3?

Key Points

  1. 1

    Mediation in SEMinR is assessed through an indirect pathway: independent → mediator → dependent, with the indirect effect computed as P1 × P2.

  2. 2

    Indirect effects must be tested for significance using bootstrapping, typically by checking whether confidence intervals exclude zero.

  3. 3

    Measurement model quality is a prerequisite: unreliable reflective mediators can shrink indirect effects and distort mediation conclusions.

  4. 4

    Structural model checks matter too: high collinearity can bias path coefficients, potentially making direct effects appear insignificant even when mediation exists.

  5. 5

    Mediation type depends on P3: significant P3 with a significant indirect effect indicates partial mediation; insignificant P3 indicates full mediation.

  6. 6

    Complementary vs competitive mediation is determined by the sign of P1 × P2 × P3, where a positive product signals complementary mediation.

  7. 7

    The example model tests vision → collaborative culture → organizational performance and finds significant indirect effects, partial mediation, and complementary mediation.

Highlights

Indirect effects in SEMinR mediation are the product of two paths (P1 × P2), representing the mediated influence rather than the direct link.
Low reliability or discriminant validity problems can make mediation look weaker or even misleading by biasing indirect-effect estimates.
Partial mediation occurs when both the indirect effect and the direct effect (P3) are significant; full mediation occurs when P3 is not significant.
Complementary vs competitive mediation is decided by the sign of P1 × P2 × P3, not just by significance alone.
The worked example concludes that collaborative culture mediates the vision–organizational performance relationship, with partial and complementary mediation.

Topics

Mentioned

  • PLS