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14. Hayes Process Macro Model 4 with Multiple Mediators and Covariates thumbnail

14. Hayes Process Macro Model 4 with Multiple Mediators and Covariates

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

Culture significantly predicts both mediators—reliability and Assurance—supporting the first stage of two parallel mediation pathways.

Briefing

The core takeaway is that “culture” affects “commitment” both directly and indirectly through two parallel mediators—“reliability” and “Assurance”—even after accounting for covariates like age and gender. In the final specification (after dropping gender), both indirect pathways remain statistically significant, producing a partial and complementary mediation pattern.

The model treats culture as the independent variable (X) and commitment as the outcome (Y), with reliability and Assurance acting as mediators (M1 and M2). Age and gender are included as covariates that can influence the mediators and/or the outcome, even though neither is the main focus. The analysis uses Hayes Process Macro Model 4, which supports multiple mediators operating in parallel.

In the initial run (including gender), culture significantly predicts both mediators: reliability shows a significant effect from culture (beta ≈ 0.5485), and Assurance also shows a significant effect from culture (beta ≈ 0.5322). Age and gender do not significantly predict either mediator, meaning the covariates do not explain variability in reliability or Assurance.

When predicting commitment, culture is significant (beta ≈ 0.3733), and both mediators are significant predictors of commitment as well. Reliability and Assurance each contribute positively to commitment, with p-values below 0.05 and t-statistics exceeding the typical two-tailed threshold (about 1.96). Age also significantly predicts commitment (positive coefficient; beta ≈ 0.210), while gender is insignificant—commitment does not differ meaningfully between male and female respondents once culture and the mediators are in the model.

The total effect of culture on commitment (including age and gender) is reported as beta ≈ 0.5996, with R ≈ 0.6223 and R² ≈ 0.3873, indicating that culture, age, and gender explain about 38.7% of the variance in commitment. The decomposition into direct and indirect effects shows that the direct effect of culture on commitment remains significant in the presence of the mediators. That matters because it rules out full mediation.

Bootstrapped indirect effects indicate mediation through both reliability and Assurance. In the first model, one indirect pathway is described as borderline when confidence intervals cross zero, but the bootstrap logic (dividing the indirect effect by the bootstrap standard error to obtain a t-statistic) supports significance. After removing gender—since it is consistently insignificant—the indirect effects through reliability and Assurance both show confidence intervals that no longer include zero, and both indirect effects become clearly significant.

Because the direct effect remains significant alongside significant indirect effects, the mediation is partial. The sign pattern is also consistent: the direct effect and the indirect effects share the same positive direction, so the mediation is complementary rather than competitive. The results are then framed as two mediation hypotheses—reliability mediates culture → commitment, and Assurance mediates culture → commitment—supported by significant indirect effects, plus a significant direct effect indicating additional influence beyond the mediators.

Cornell Notes

Culture has both a direct and an indirect impact on commitment, with reliability and Assurance acting as parallel mediators. Culture significantly predicts reliability and Assurance, and both mediators significantly predict commitment. Age significantly predicts commitment but does not significantly predict either mediator, while gender is insignificant and can be removed from the final model. After excluding gender, both bootstrapped indirect effects through reliability and Assurance are significant, while the direct effect of culture on commitment remains significant—so mediation is partial and complementary (direct and indirect effects share the same positive sign).

What does Hayes Process Macro Model 4 assume when using multiple mediators in parallel?

Model 4 is set up with one independent variable (culture, X), one outcome (commitment, Y), and multiple mediators (reliability and Assurance, M1 and M2) that operate in parallel. That means culture can affect each mediator, and each mediator can affect commitment, while the mediators are estimated together in the same regression system. The indirect effect is computed for each mediator pathway (culture → mediator → commitment), and the total effect is the sum of direct and indirect components.

How do covariates function here, and why does gender get removed?

Age and gender are treated as covariates that can influence endogenous variables (the mediators and/or the outcome) without being the primary variables of interest. In the initial model, age significantly predicts commitment but not reliability or Assurance; gender is insignificant for commitment and also does not predict either mediator. Because gender contributes no meaningful variance in the endogenous variables, the final reporting drops gender from the model.

What evidence supports mediation through reliability and Assurance?

Mediation requires (1) culture significantly affects each mediator (paths A1 and A2), and (2) each mediator significantly affects commitment (paths B1 and B2), with (3) the bootstrapped indirect effects being significant (confidence intervals not spanning zero). Culture significantly predicts reliability (beta ≈ 0.5485) and Assurance (beta ≈ 0.5322). Reliability and Assurance both significantly predict commitment, and the bootstrapped indirect effects through both mediators are significant after removing gender.

Why is the mediation classified as partial rather than full?

Full mediation would require the direct effect of culture on commitment to be non-significant once mediators are included. Here, the direct effect remains significant (culture → commitment is still significant in the presence of reliability and Assurance). With significant direct and indirect effects, the model indicates partial mediation.

What does “complementary” mediation mean in this context?

Complementary mediation occurs when the direct effect and the indirect effects have the same sign (direction). The write-up notes that both the direct effect and the indirect effects are positive, so the pathways reinforce each other rather than competing. If the signs differed (e.g., positive direct effect but negative indirect effect), that would indicate competitive mediation.

How is the total effect and explained variance interpreted?

The total effect is the overall impact of culture on commitment, combining direct and indirect components (reported as beta ≈ 0.5996 in the model including gender). The model fit statistics include R ≈ 0.6223 and R² ≈ 0.3873, meaning culture, age, and gender together account for about 38.7% of the variance in commitment (converted from R² by multiplying by 100).

Review Questions

  1. In a parallel multiple-mediator model, what conditions must hold for each mediator pathway to qualify as a significant indirect effect?
  2. Why does a significant direct effect imply partial mediation rather than full mediation?
  3. What statistical pattern would suggest competitive mediation instead of complementary mediation?

Key Points

  1. 1

    Culture significantly predicts both mediators—reliability and Assurance—supporting the first stage of two parallel mediation pathways.

  2. 2

    Reliability and Assurance each significantly predict commitment, establishing the second stage needed for mediation.

  3. 3

    The direct effect of culture on commitment remains significant even after including both mediators, indicating partial mediation.

  4. 4

    Bootstrapped indirect effects through both reliability and Assurance are significant after removing gender, confirming mediation through both mediators.

  5. 5

    Age significantly predicts commitment but does not significantly predict either mediator, so age affects the outcome without operating through the mediators.

  6. 6

    Gender is insignificant for the mediators and the outcome, so it can be excluded from the final model for cleaner interpretation.

  7. 7

    Because the direct and indirect effects share the same positive sign, the mediation is complementary rather than competitive.

Highlights

Culture influences commitment through two parallel routes—via reliability and via Assurance—while also retaining a significant direct effect.
Age matters for commitment (positive effect) but does not meaningfully shape reliability or Assurance.
Gender shows no significant effects and is removed in the final model without changing the mediation conclusion.
After dropping gender, both indirect effects become clearly significant, yielding partial and complementary mediation.

Topics

  • Parallel Mediation
  • Hayes Process Model 4
  • Covariates
  • Bootstrapped Indirect Effects
  • Partial Mediation

Mentioned

  • DV
  • IV
  • R
  • R square