3.4. Statistical Analysis
The one-way analysis of variance (ANOVA) assesses whether statistically significant differences exist among the means of independent groups [
15]. For this research, we selected inflammatory markers and anticoagulant therapy as independent groups, and they are organized in
Table 5.
The F-value for CRP is 1.077, and the p-value is 0.301, signifying no statistically significant difference across the groups. Correspondingly, ESR showed an F-value of 1.506 and a p-value of 0.222, which is likewise not statistically significant. The pattern continues for Fibrinogen and Ferritin with F-values of 1.333 and 1.619, respectively, and p-values of 0.250 and 0.205, indicating no significant difference among the groups. D-dimers showed the lowest F-value of 0.017 and the highest p-value of 0.897, and ultimately, IL-6 had an F-value of 0.260 and a p-value of 0.611.
Thus, none of the inflammatory markers included in
Table 2 displayed statistically significant differences between the groups, and their levels were comparably consistent among each other, possibly suggesting that these inflammatory markers may not have been significantly affected by the anticoagulant therapy.
Table 6 presents the results of a COX regression analysis that we performed to investigate the relationship between the survival time of the patients and other variables, such as drug therapy and comorbidities. In the context of our study on pulmonary embolism and COVID-19 patients, the Cox regression model helped us to assess the impact of these variables on the survival possibilities of the patients.
Of the total 166 cases included in the study, 41 cases (24.7%) experienced the event of interest (death in our case) during the study period. A total of 122 cases (73.5%) were censored, meaning these patients survived by the end of the study period. Only three cases (1.8%) were dropped because they were censored before any events occurred within their respective strata, which is a minimal loss of data and does not significantly affect the overall analysis. The final sample size for the analysis was 166 cases (98.2%), which is substantial and gives confidence to the statistical power of the analysis.
Figure 5 presents a Kaplan–Meier survival analysis.
This survival curve describes the survival probability over time for our cohort treated with anticoagulant therapy. Initially, the survival probability is 1.0 (100%) at the onset, meaning all patients are alive. However, as time progresses, the survival rate gradually declines. Despite the censored points, the overall trend shows a steady reduction in survival probability as more patients died. Notably, between days 10 and 20, the survival rate declines significantly, and by day 25, the probability of survival approaches zero, indicated by the sharp decline towards the end of the curve, meaning that most patients have either died or left the study.
The survival probability curves show minimal difference between the two groups over the first 25 days from onset. Patients requiring intubation (coded as 1) exhibited a slightly lower survival trend than those who were not intubated (coded as 0), though the curves overlap substantially, suggesting limited prognostic separation based on intubation status alone. The mean and median survival times were similar between groups (mean: 8.70 vs. 8.48 days; median: 7 vs. 8 days), with overlapping 95% confidence intervals, as shown by
Table 7 and
Figure 6.
Patients admitted during the early waves demonstrated notably higher survival probabilities throughout the 25-day follow-up compared to those from later waves. The curve for Waves 6–10 descends more steeply, indicating accelerated mortality. The median survival was 9 days for early waves and 6 days for late waves, with mean survival estimates of 9.48 and 7.09 days, respectively (
Table 8 and
Figure 7).
The bubble plot illustrated in
Figure 8 shows the distribution of different treatments administered to patients, with the total number of patients on the y-axis and specific treatments on the x-axis.
The size of each bubble represents the percentage of patients receiving that treatment. The largest bubble is for Remdesivir, with 121 patients receiving this treatment, accounting for the highest percentage in the dataset. Enoxaparin follows with 66 patients, reflecting a significant proportion as well. Other treatments like Dexamethasone and Anakinra also have notable patient counts of around 88 and 53, respectively. In contrast, treatments like Tocilizumab and Thrombolysis have much smaller bubbles, indicating that fewer patients (around 16 for Tocilizumab and 8 for Thrombolysis) received these treatments, representing the lowest percentages in the group.
The drug administration patterns observed in this cohort are reported descriptively. No statistical comparisons were performed to evaluate treatment efficacy, and no causal inferences should be drawn from these data. The findings are presented to illustrate the therapeutic landscape within the study population.
Table 9 shows a comparison of Wells, Pessi, and IMPRUVE-VTE scores across the ten waves. The Wells score predicts deep vein thrombosis and pulmonary embolism in patients. This helps determine whether D-dimer or imaging tests are needed. The PESI (Pulmonary Embolism Severity Index) and simplified PESI (sPESI) are risk assessment tools for patients with acute pulmonary embolism to predict 30-day mortality. The IMPRUVE-VTE (Investigating Modern Prevention and Treatment Strategies in Venous Thromboembolism) study is a clinical trial evaluating new treatment strategies for venous thromboembolism (VTE).
The table reveals distinct patterns that reflect the evolving clinical severity and complexity of patients with pulmonary embolism. Early waves, such as Wave 1 (n = 2), showed lower Wells (mean 0.75 ± 0.75), Pessi (mean 2 ± 1), and IMPRUVE-VTE scores (mean 3 ± 1), indicating a relatively lower risk profile in a small patient group. As the pandemic progressed, these scores increased, with Wave 2 (n = 26) showing a Wells score of 1.3 ± 1.33 and a Pessi score of 3.53 ± 1.24. These metrics highlight a moderate risk elevation as the patient cohort expanded. By Wave 5 (n = 26), the Pessi score rose to 4.07 ± 0.87, and the IMPRUVE-VTE score increased to 4.88 ± 1.28, suggesting a trend toward higher risk and disease burden.
Later waves, particularly Waves 6 through 10, exhibited substantial variability and higher scores, reflecting an increasingly severe patient profile. For instance, Wave 7 (n = 15) demonstrated a sharp rise in the Wells score (mean 2.53 ± 2.08), coinciding with a high Pessi score of 4.25 ± 1.08. Similarly, Wave 9 (n = 9) reported the highest Pessi score (mean 4.88 ± 0.31) and a notable IMPRUVE-VTE score of 5.66 ± 1.15, indicating a critical level of thrombotic risk. By Wave 10 (n = 7), Wells scores stabilized at 1.42 ± 0.82, but IMPRUVE-VTE scores remained high (5.71 ± 0.45). This progression underscores the increasing severity and complexity of cases over time, emphasizing the need for targeted interventions in later waves to mitigate elevated risks.
Table 10 shows the Kendall’s tau-b correlation coefficient between various paired comparisons of the means of the Wells, Pessi, and IMPRUVE-VTE scores, as well as their correlation with the study waves.
The correlation between the Wells and Pessi scores shows a moderate positive association (tau-b = 0.619), but with a p-value of 0.051, it narrowly misses statistical significance. The confidence interval (−0.025 to 0.900) crossing zero further supports the conclusion that the correlation is not significant. Thus, one is not influenced by the other when it comes to the waves of the COVID-19 pandemic. Similarly, the correlation between Wells and IMPRUVE-VTE (tau-b = 0.524) scores and the correlation between Wells scores and the waves (tau-b = 0.524) also show moderate positive relationships, but both lack statistical significance, with p-values of 0.099 and confidence intervals crossing zero.
In contrast, the Pessi and IMPRUVE-VTE scores exhibit a strong positive correlation (tau-b = 0.905) with a p-value of 0.004, indicating statistical significance. The 95% confidence interval (0.635 to 0.978) does not cross zero, confirming a significant and strong relationship between these two scoring systems. Additionally, both the Pessi score (tau-b = 0.905, p = 0.004) and the IMPRUVE-VTE score (tau-b = 0.810, p = 0.011) show strong, statistically significant correlations with the pandemic waves, with confidence intervals that further support the strength and significance of these associations.
The chart in
Figure 9 displays the ranks for each scoring system, with their corresponding frequencies on the x-axis and rank values on the y-axis.
The Wells score has the lowest mean rank of 1.00, with most values concentrated at rank 1, indicating that it consistently scores the lowest relative to the other systems. On the other hand, the Pessi score holds a mean rank of 2.00, with its values mainly being centered around rank 2, showing that it occupies an intermediate rank between Wells and IMPRUVE-VTE. The IMPRUVE VTE score has the highest mean rank of 3.00, with most values being concentrated at rank 3, suggesting that it consistently scores higher compared to the Wells and Pessi systems. This indicates that in this dataset, the IMPRUVE-VTE score is relatively higher than both the Wells and Pessi scores, while the Wells score tends to be the lowest. This difference in ranking could reflect variations in how these scoring systems assess patients, with IMPRUVE-VTE potentially being more sensitive or leading to higher values in our cohort.
Table 11 provides a detailed comparison of deaths, intubation rates, and lung involvement imaging features across pandemic waves.
In Wave 1, the sample size was minimal (n = 1), with 50% mortality and intubation rates, alongside limited lung involvement (mean 0.22 ± 0.02). Waves 2 and 3 saw increases in sample size (n = 7 and n = 8, respectively), with mortality rates stabilizing at 27% and 24% and lung involvement imaging features showing a mean of 0.45 in both waves, though with slightly greater variability in Wave 3 (SD 0.24). Mortality remained steady in Waves 4 and 5 at 27% and 23%, respectively, with intubation rates showing minor fluctuations (9% and 15%). Lung involvement imaging peaked at 0.54 ± 0.18 in Wave 4 before declining to 0.35 ± 0.2 in Wave 5. By Wave 6, mortality rose to 35%, accompanied by the highest intubation rate (29%) since the pandemic’s early phases. However, lung involvement imaging features showed only a modest increase (mean 0.31 ± 0.19). Subsequent waves showed reduced mortality and intubation rates, with Wave 7 reporting the lowest mortality (12%) but a notable increase in intubation (25%). Lung involvement imaging features showed a steady decline, reaching a mean of 0.24 ± 0.12 in Wave 8, coinciding with zero mortality. By Wave 10, mortality and intubation rates were both at 28%, while lung involvement reached its highest variability (mean 0.31 ± 0.31).
Although SARS-CoV-2 variant-specific classification would have offered enhanced precision in assessing disease behavior and outcomes, our database did not include variant sequencing data as the standard RT-PCR testing carried out during clinical care did not identify specific viral lineages. Therefore, stratification by pandemic wave was the most consistent and reliable framework available for temporal classification. However, we acknowledge that certain waves contained relatively few events (e.g., deaths in Wave 1, Wave 7, and Wave 10), which may limit the robustness of subgroup comparisons. These limitations were considered when interpreting wave-specific findings.
Figure 10,
Figure 11 and
Figure 12 visually represent the trends in deaths, intubation rates, and lung involvement imaging features across different waves of the COVID-19 pandemic. These figures illustrate the evolving clinical burden of pulmonary complications during the pandemic.
Figure 10 highlights the variability in death rates across waves.
Wave 1 experienced the highest mortality (50%), reflecting the initial challenges of managing the pandemic. Subsequent waves, particularly Waves 2 to 5, stabilized around a mortality rate of 23–27%, with a notable increase during Wave 6 (35%). Waves 7 to 10 saw reduced mortality, with the lowest rate of 12% in Wave 7 and a slight rebound in Waves 9 and 10 (33% and 28%, respectively).
Figure 11 demonstrates trends in intubation rates.
The initial waves had fluctuating rates, with a peak during Wave 6 (29%). Intubation was least frequent in Wave 8 (12%), coinciding with a zero mortality rate, indicating potentially milder disease during that period. Wave 10 showed a rise in intubation rates (28%), aligning with increased disease severity in later stages of the pandemic.
Figure 12 tracks lung involvement through imaging features.
The mean lung involvement increased from Wave 1 (0.22) to its highest value in Wave 4 (0.54), reflecting severe pulmonary effects during this period. Waves 5 to 8 exhibited a downward trend in lung involvement (mean ~0.31–0.36), suggesting improvements in disease management. However, Wave 10 recorded greater variability, with lung involvement reaching the highest standard deviation (0.31).
Table 12 presents the percentages of pulmonary involvement distributed across waves.
Wave 1 recorded a low number of patents with pulmonary involvement. By Wave 2, the number of patients with pulmonary involvement increased, with 42.3% (11) in the >50% category and 38.4% (10) in the 20–50% category. Wave 3 continued that trend, with 39.3% (13) in the >50% category and 42.4% (14) in the 20–50% category. In Wave 4, the >50% category peaked at its highest percentage, with 59% (13), and only 4.5% (1) showed such a low involvement, defined as being within the 0–20% category.
In subsequent waves, the distribution shifted. By Wave 6, the biggest proportion of patients (47% (8)) had minimal involvement (0–20%), and this persisted through Wave 7 when 46.6% (7) had minimal involvement and only 20% (3) had >50% involvement. Waves 9 and 10 are notable for the dominance of the 0–20% category, with 100% (9) in Wave 9 and 87.5% (7) in Wave 10. This suggests that, in later waves, a marked decrease in severe pulmonary involvement contrasted with earlier waves when >50% involvement was more common.
The scatter plot in
Figure 13 shows the distribution of categories of pulmonary involvement (0–20%, 20–50%, and >50%) across Waves 1–10.
The data points reveal, for instance, that a greater proportion of patients in Waves 2 and 3 are classified as having >50% pulmonary involvement, whereas the situation in Waves 9 and 10 overwhelmingly describes patients falling into the 0–20% category, meaning that severe pulmonary involvements have dissipated over time. The 20–50% category is uniformly interwoven across all waves, denoting stability or some proportionality with moderate pulmonary involvement. It is an image that quite readily suggests high (>50%) pulmonary involvement decreasing as the condition under study advances.