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Reply from Dr. Wardana R
2025.12.16 12:00:19
In the inner model, the relationships from C1 (mangrove ecosystem services) to C3 (economic resilience) and from C2 (adaptive capacity) to C3 are considered significant not because of the magnitude of the coefficients alone (0.21 and 0.17), but because of their statistical significance. In SEM-PLS, the primary criterion for significance is the bootstrapping results, specifically the t-value and p-value, not the absolute size of the path coefficient. In this study, both paths have p-values below 0.05, indicating that the effects are statistically different from zero and unlikely to occur by chance, even though their magnitudes are relatively small.
Regarding scale and classification, this study follows PLS-SEM conventions rather than classical effect-size thresholds used in correlation analysis. The classification is as follows:
Not significant relationship: p-value > 0.05 (regardless of coefficient size), indicating no statistical evidence of an effect.
Significant relationship: p-value ≤- 0.05, indicating a statistically supported effect.
Strength of the relationship (effect size) is interpreted substantively: path coefficients around 0.10-0.19 are considered weak, 0.20-0.29 moderate, and ≥-0.30 strong, following common guidelines in exploratory SEM-PLS and socio-ecological research.
Based on this classification, the C1 →- C3 coefficient (0.21) is interpreted as a moderate but statistically significant effect, while C2 →- C3 (0.17) represents a weak yet statistically significant effect. Such values are acceptable and meaningful in complex socio-ecological systems, where outcomes like economic resilience are influenced by many interacting factors, and individual path effects are rarely large. Thus, the results indicate real but partial contributions of ecosystem services and adaptive capacity to economic resilience, consistent with the exploratory nature of the model.
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