3.2. Individual Effects
Coefficient (Coeff) indicates the direction and magnitude of the effect of each variable on the QLQ-H&N43 score, i.e., on quality of life. For example, for the depressive–anxious disorders variable, the coefficient is 13.539, which means that the presence of depressive–anxious syndrome is associated with a significant increase in the total QLQ-H&N43 score, i.e., a decrease in quality of life because higher scores indicate more severe symptoms.
Standard error (SE) gives an estimate of the precision of the coefficient. For depressive–anxious disorders, the standard error is 3.922, indicating moderate variability around the estimated coefficient.
The t-value is the ratio of the coefficient to its standard error. The higher the t-value (in absolute value), the more likely the effect is significant. In the case of the variable depressive–anxious disorders, t = 3.452, which supports the significance of the effect.
The p-value (p < 0.05) signals a statistically significant effect. Thus, depressive–anxious disorders is a variable with a significant impact (p = 0.001), while Haematological toxicity, with p = 0.465, and kidney diseases, with p = 0.643, do not have a significant direct effect on quality of life, taken in isolation.
The most important observation comes from the triple interaction Int_4 (Haematological toxicity degree × depressive–anxious disorders × kidney diseases), whose coefficient is 31.041, with p = 0.032, and the confidence interval between 2.777 and 59.305 does not contain zero. This points to a significant interaction: The effect of haematological toxicity on quality of life is significantly amplified when the patient has both depressive–anxious disorders and chronic kidney disease.
Table 11 reflects the significance test for the high order (triple) interaction between the three variables: haematological toxicity (X), depressive–anxious disorders (W) and kidney disorders (Z), in influencing the total QLQ-H&N43 score (the dependent variable reflecting quality of life).
The change in the value of the determination coefficient of (R²-chng = 0.0455) indicates that the triple interaction adds an extra 4.55% to the explained variance of the QLQ-H&N43 score, over and above what is explained by the single effects and lower order interactions (X, W, Z, X × W, X × Z, W × Z). Although this percentage may seem small, it remains clinically relevant, as the quality of life is influenced by multiple subtle factors.
The F-statistic is associated with the test for high-order interaction, F (1, 85) = 4.7682, with a p = 0.0317, signifying that the three-way interaction is statistically significant (p < 0.05). In other words, the effect of haematological toxicity on quality of life varies according to the presence of depressive–anxious disorders and kidney diseases, suggesting a complex modulation between these factors.
This finding confirms the research hypothesis that the interaction between these three factors worsens the impact on the quality of life of oncological patients treated with chemoradiotherapy.
The interpretation of
Table 12 is as follows:
When kidney disease is absent (Z-value = 0), the effect of the interaction between haematological toxicity and depressive–anxious disorders on QoL is negative (coefficient = −7.016) but statistically insignificant (p = 0.112). This indicates that, in the absence of kidney failure, the combination of the other two variables has no clear impact on the QLQ-H&N43 score.
In contrast, when kidney diseases are present (Z value = 1), the interaction effect becomes positive and much larger (coefficient = 24.026), and the p-value (0.079) indicates a trend towards statistical significance, even if it does not cross the classical threshold of 0.05. This result suggests that, in the presence of kidney disease, the combined impact of depressive–anxious disorders and haematological toxicity on quality of life is significantly increased compared to the situation when these conditions occur in isolation or without renal context.
Thus, the interaction is conditional on the presence of kidney diseases, and this result provides a clear indication that kidney diseases modify the relationship between psychological factors and treatment toxicity in influencing the quality of life of oncology patients.
Table 13 shows the conditional effects of the main predictor (haematological toxicity) on quality of life (QLQ-H&N43 score), depending on the combinations of the two moderating variables: depressive–anxious disorders and kidney disease.
When neither depressive–anxious disorder nor kidney failure is present (value 0 for both moderators), the effect of haematological toxicity on QoL is positive but insignificant (coefficient = 1.785, p = 0.465). This means that, in the absence of both conditions, increased haematological toxicity is not associated with a significant change in QoL score.
When only kidney disorders are present, but without depressive–anxious disorders (0/1), the effect of toxicity becomes negative but still statistically insignificant (coefficient = −3.465, p = 0.321). In this case, the presence of kidney disorders seems to weaken the influence of haematological toxicity on QoL.
When only depressive–anxious disorders are present, without kidney failure (1/0), the effect of toxicity becomes even more negative (coefficient = −5.231), indicating a more pronounced decrease in QoL, but still without statistical significance (p = 0.153). This result suggests a trend, albeit not strong enough to be considered significant.
The most important observation occurs when both conditions are present simultaneously (1/1): The effect of haematological toxicity on QoL becomes strongly positive (coefficient = 20.561) and approaches statistical significance (p = 0.120). Although not crossing the classical significance threshold (p < 0.05), the high value of the coefficient suggests a complex, possibly compensatory, interaction in which patients with both vulnerabilities may have a different response to treatment or an altered perception of quality of life.
The results indicate that the effect of haematological toxicity on quality of life is significantly influenced by the simultaneous presence or absence of depressive–anxious disorder and kidney diseases, although not all combinations reach statistical significance. This pattern supports the idea of a complex tripartite interaction explored by Model 3 in PROCESS.
The analysis demonstrated that the proposed model investigating the combined impact of haematological toxicity, depressive–anxious disorders and kidney failure on quality of life (assessed by the QLQ-H&N43 score at week 7) is significant and explains about 19% of the perceived variance in the quality of life of cancer patients. Of all the included variables, depressive–anxious disorders had a significant direct effect on the decrease in quality of life, while haematological toxicity and kidney diseases, analysed individually, did not show a significant direct impact.
However, an important finding was the identification of a significant three-way interaction between the three variables. This interaction (haematological toxicity × depressive–anxious disorder × kidney diseases) had a statistically significant effect (p = 0.032), indicating that the impact of haematological toxicity on quality of life is significantly amplified when the patient has both psychological disorders and renal comorbidity simultaneously. Thus, the negative effects of treatment are felt more acutely by both psychologically and physically vulnerable patients.
Conditional tests supported this conclusion, showing that the effects of toxicity on quality of life vary significantly depending on the combinations of the two moderators. The most pronounced effect was observed in patients with both depressive–anxious disorders and kidney diseases, in whom the QoL score was most severely affected.
These results validate the hypothesis that psychological distress and kidney failure act as vulnerability factors that may negatively potentiate the effect of radio-chemotherapy toxicity on the quality of life of ENT cancer patients, highlighting the importance of multidimensional assessment and personalization of interventions in oncology practice.