Introduction

This clinical trial aims to evaluate the safety profiles of two drugs by comparing their impact on key vital-sign-related adverse events. The study focuses on a range of clinical parameters, including systolic and diastolic blood pressure, heart rate, temperature, respiratory rate, oxygen saturation, and respiratory distress. By assessing these vital signs, the trial will provide valuable insights into the safety and tolerability of the two treatments.

Study Objective

The primary objective of this study is to conduct a comparative analysis of the two drugs in terms of their effects on vital sign parameters and the occurrence of adverse events related to these measures. The goal is to determine if there are significant differences in safety outcomes between the two treatments, providing critical data for informed clinical decision-making.

Statistical Analysis

The statistical analysis was performed using RStudio and R software (version 4.3.2) and the geepack package to apply Generalized Estimating Equations (GEE) for the analysis of longitudinal data. Vital sign measurements (systolic and diastolic blood pressure, heart rate, temperature, respiratory rate, oxygen saturation, and respiratory distress) were collected at 11 time points, making GEE an appropriate choice to account for the correlation between repeated measures within subjects. The Gaussian family with an identity link function was used for the modeling of all the continuous outcomes.

Assumptions Checking: Prior to model selection, assumptions of normality and the presence of outliers were examined. A detailed outlier analysis was performed, revealing the presence of numerous outliers, including some extreme values. Additionally, normality was assessed using the Shapiro-Wilk test for each of the vital sign variables. The results showed significant p-values (p < 0.05) for all variables, indicating that the data were not normally distributed. Given the presence of outliers and the violation of normality assumptions, GEE modeling was chosen for its robustness to non-normality and its ability to handle correlated data in the presence of repeated measures.

Given the longitudinal nature of the data, the repeated measurements, and the violations of normality and outlier presence, GEE was chosen as the most appropriate method for estimating treatment effects.

Model Specifications: To evaluate the effects of the treatment (drug), time, and their interaction on the vital sign outcomes, separate GEE models were fit for each variable:

Main effects model: The model examined the independent effects of treatment (drug) and time:

Vital Signs ∼ Drug + Time

Interaction model: The interaction between treatment and time was assessed to explore whether the treatment effect varied across time:

Vital Signs ∼ Drug + Time + (Drug × Time)

Model Specifications:

Statistical Significance: A two-sided significance level of 0.05 was used for all hypothesis tests. Sensitivity analyses were also performed using different correlation structures (independence vs. exchangeable) to assess the robustness of the findings.

Key Findings:

Longitudinal Descriptive Analysis of Physiological Parameters by Treatment Group:

Table 1: Longitudinal Summary of Physiological Parameters Stratified by Treatment Group and Time

Table 1: Longitudinal Summary of Physiological Parameters Stratified by Treatment Group and Time in Study Participants (n = 100)
Characteristic Time 1 Time 2 Time 3 Time 4 Time 5 Time 6 Time 7 Time 8 Time 9 Time 10 Time 11
Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581
Systolic Blood Pressure 115.43 (9.35) 119.66 (12.56) 115.85 (9.21) 119.48 (9.99) 117.62 (10.08) 119.14 (11.89) 119.40 (8.57) 119.05 (9.98) 119.29 (10.22) 116.64 (12.40) 118.54 (8.23) 117.50 (9.42) 118.57 (8.99) 119.48 (11.72) 116.43 (9.58) 119.28 (10.57) 115.00 (8.90) 120.48 (11.08) 114.76 (9.69) 119.05 (11.60) 116.43 (9.06) 117.24 (12.11)
Diastolic Blood Pressure 74.76 (9.17) 76.72 (8.09) 73.41 (6.56) 76.38 (6.61) 75.95 (7.67) 77.98 (7.37) 77.38 (7.26) 77.41 (6.90) 77.62 (8.21) 75.26 (7.28) 77.56 (6.24) 75.14 (7.29) 77.62 (7.26) 76.64 (8.34) 73.81 (6.23) 77.16 (7.67) 74.76 (7.40) 77.50 (8.02) 72.86 (9.18) 76.55 (7.90) 76.19 (6.97) 75.00 (8.22)
Heart Rate 81.62 (11.22) 82.31 (8.14) 81.98 (7.90) 81.50 (7.07) 80.26 (6.74) 81.55 (7.66) 79.52 (9.42) 82.86 (9.30) 80.10 (6.62) 83.91 (10.39) 79.98 (6.11) 82.67 (7.46) 81.24 (7.31) 83.53 (7.38) 82.10 (8.89) 82.12 (5.22) 81.10 (8.91) 83.22 (7.67) 81.02 (10.03) 82.71 (8.35) 81.29 (9.63) 81.21 (6.63)
Temperature 37.19 (0.60) 37.12 (0.36) 37.26 (0.56) 37.12 (0.34) 37.27 (0.58) 37.20 (0.50) 37.18 (0.52) 37.27 (0.56) 37.22 (0.49) 37.29 (0.67) 37.28 (0.60) 37.20 (0.52) 37.21 (0.66) 37.24 (0.52) 37.18 (0.66) 37.21 (0.43) 37.15 (0.58) 37.16 (0.38) 37.14 (0.52) 37.13 (0.41) 37.11 (0.45) 37.15 (0.39)
Respiratory Rate 20.40 (2.92) 21.59 (3.52) 20.74 (2.88) 21.24 (2.95) 20.40 (2.85) 22.10 (3.32) 20.43 (2.87) 22.21 (4.40) 20.40 (3.02) 22.14 (3.21) 20.45 (3.44) 22.10 (2.83) 20.38 (3.36) 22.03 (3.30) 20.69 (3.60) 21.60 (2.69) 20.19 (3.42) 21.62 (2.43) 20.31 (3.28) 21.71 (3.11) 20.71 (3.42) 21.47 (2.65)
Oxygen Saturation 94.45 (2.59) 90.38 (6.34) 94.55 (2.58) 91.36 (4.78) 94.33 (2.91) 90.47 (6.27) 94.55 (2.56) 90.16 (6.25) 94.29 (2.83) 90.38 (5.87) 94.24 (2.87) 89.28 (9.19) 94.52 (2.25) 90.21 (6.58) 94.67 (2.28) 89.93 (7.94) 94.71 (2.43) 91.05 (5.62) 94.95 (2.39) 91.47 (4.52) 94.76 (2.55) 91.14 (5.77)
Respiratory Distress





















    Absent 39 / 42 (93%) 48 / 58 (83%) 38 / 42 (90%) 48 / 58 (83%) 38 / 42 (90%) 44 / 58 (76%) 36 / 42 (86%) 46 / 58 (79%) 39 / 42 (93%) 44 / 58 (76%) 39 / 42 (93%) 44 / 58 (76%) 41 / 42 (98%) 42 / 58 (72%) 40 / 42 (95%) 44 / 58 (76%) 40 / 42 (95%) 46 / 58 (79%) 40 / 42 (95%) 47 / 58 (81%) 39 / 42 (93%) 50 / 57 (88%)
    Present 3 / 42 (7.1%) 10 / 58 (17%) 4 / 42 (9.5%) 10 / 58 (17%) 4 / 42 (9.5%) 14 / 58 (24%) 6 / 42 (14%) 12 / 58 (21%) 3 / 42 (7.1%) 14 / 58 (24%) 3 / 42 (7.1%) 14 / 58 (24%) 1 / 42 (2.4%) 16 / 58 (28%) 2 / 42 (4.8%) 14 / 58 (24%) 2 / 42 (4.8%) 12 / 58 (21%) 2 / 42 (4.8%) 11 / 58 (19%) 3 / 42 (7.1%) 7 / 57 (12%)
1 Mean (SD); n / N (%)

Table 2: Time-Course Summary of Physiological Measures by Treatment Group

Table2: Time-Course Summary of Physiological Measures by Treatment Group (n = 100)
Characteristic Time 1 Time 2 Time 3 Time 4 Time 5 Time 6 Time 7 Time 8 Time 9 Time 10 Time 11
Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581 Drug A, N = 421 Drug B, N = 581
Systolic Blood Pressure Class





















    Abnormal 4 (9.5%) 17 (29%) 6 (15%) 14 (24%) 10 (24%) 17 (29%) 9 (21%) 17 (29%) 9 (21%) 15 (26%) 6 (15%) 12 (21%) 10 (24%) 18 (31%) 5 (12%) 17 (29%) 5 (12%) 18 (31%) 5 (12%) 18 (31%) 8 (19%) 12 (21%)
    Normal 38 (90%) 41 (71%) 35 (85%) 44 (76%) 32 (76%) 41 (71%) 33 (79%) 41 (71%) 33 (79%) 43 (74%) 35 (85%) 46 (79%) 32 (76%) 40 (69%) 37 (88%) 41 (71%) 37 (88%) 40 (69%) 37 (88%) 40 (69%) 34 (81%) 46 (79%)
Heart Rate Class





















    Abnormal 3 (7.1%) 2 (3.4%) 1 (2.4%) 1 (1.7%) 0 (0%) 2 (3.4%) 1 (2.4%) 4 (6.9%) 0 (0%) 4 (6.9%) 0 (0%) 1 (1.7%) 2 (4.8%) 1 (1.7%) 1 (2.4%) 0 (0%) 1 (2.4%) 2 (3.4%) 1 (2.4%) 3 (5.2%) 2 (4.8%) 0 (0%)
    Normal 39 (93%) 56 (97%) 41 (98%) 57 (98%) 42 (100%) 56 (97%) 41 (98%) 54 (93%) 42 (100%) 54 (93%) 42 (100%) 57 (98%) 40 (95%) 57 (98%) 41 (98%) 58 (100%) 41 (98%) 56 (97%) 41 (98%) 55 (95%) 40 (95%) 58 (100%)
Temperature Class





















    Abnormal 11 (26%) 12 (21%) 9 (21%) 7 (12%) 11 (26%) 11 (19%) 9 (21%) 11 (19%) 12 (29%) 17 (29%) 11 (26%) 12 (21%) 10 (24%) 14 (24%) 13 (31%) 15 (26%) 8 (19%) 11 (19%) 9 (21%) 12 (21%) 7 (17%) 11 (19%)
    Normal 31 (74%) 46 (79%) 33 (79%) 51 (88%) 31 (74%) 47 (81%) 33 (79%) 47 (81%) 30 (71%) 41 (71%) 31 (74%) 46 (79%) 32 (76%) 44 (76%) 29 (69%) 43 (74%) 34 (81%) 47 (81%) 33 (79%) 46 (79%) 35 (83%) 47 (81%)
Respiratory Rate Class





















    Abnormal 33 (79%) 49 (84%) 33 (79%) 49 (84%) 32 (76%) 50 (86%) 32 (76%) 53 (91%) 33 (79%) 53 (91%) 31 (74%) 53 (91%) 32 (76%) 54 (93%) 33 (79%) 51 (88%) 33 (79%) 51 (88%) 33 (79%) 49 (84%) 32 (76%) 48 (83%)
    Normal 9 (21%) 9 (16%) 9 (21%) 9 (16%) 10 (24%) 8 (14%) 10 (24%) 5 (8.6%) 9 (21%) 5 (8.6%) 11 (26%) 5 (8.6%) 10 (24%) 4 (6.9%) 9 (21%) 7 (12%) 9 (21%) 7 (12%) 9 (21%) 9 (16%) 10 (24%) 10 (17%)
Oxygen Saturation Class





















    Abnormal 21 (50%) 41 (71%) 22 (52%) 39 (67%) 25 (60%) 43 (74%) 26 (62%) 44 (76%) 24 (57%) 44 (76%) 25 (60%) 47 (81%) 23 (55%) 45 (78%) 21 (50%) 42 (72%) 18 (43%) 42 (72%) 18 (43%) 42 (72%) 20 (48%) 39 (67%)
    Normal 21 (50%) 17 (29%) 20 (48%) 19 (33%) 17 (40%) 15 (26%) 16 (38%) 14 (24%) 18 (43%) 14 (24%) 17 (40%) 11 (19%) 19 (45%) 13 (22%) 21 (50%) 16 (28%) 24 (57%) 16 (28%) 24 (57%) 16 (28%) 22 (52%) 19 (33%)
Respiratory Distress





















    Absent 39 (93%) 48 (83%) 38 (90%) 48 (83%) 38 (90%) 44 (76%) 36 (86%) 46 (79%) 39 (93%) 44 (76%) 39 (93%) 44 (76%) 41 (98%) 42 (72%) 40 (95%) 44 (76%) 40 (95%) 46 (79%) 40 (95%) 47 (81%) 39 (93%) 50 (88%)
    Present 3 (7.1%) 10 (17%) 4 (9.5%) 10 (17%) 4 (9.5%) 14 (24%) 6 (14%) 12 (21%) 3 (7.1%) 14 (24%) 3 (7.1%) 14 (24%) 1 (2.4%) 16 (28%) 2 (4.8%) 14 (24%) 2 (4.8%) 12 (21%) 2 (4.8%) 11 (19%) 3 (7.1%) 7 (12%)
1 n (%)

Longitudinal Summary of Vital Sign Measures by Treatment Group:

Table 3: Daily Heart Rate Measurements for Drug A Compared to Drug B:

Table 3: Daily Heart Rate Measurements for Drug A Compared to Drug B
Heart Rate A, N = 421 B, N = 581 p-value2
Heart Rate Day 1 86 (11) 88 (10) 0.075
Heart Rate Day 2 86 (10) 86 (10) >0.9
Heart Rate Day 3 84 (12) 86 (9) 0.2
Heart Rate Day 4 83 (7) 85 (5) 0.053
Heart Rate Day 5 81.6 (5.9) 83.6 (7.5) 0.084
Heart Rate Day 6 80.3 (5.5) 81.3 (4.4) 0.2
Heart Rate Day 7 78.8 (5.9) 80.9 (5.8) 0.2
Heart Rate Day 8 78 (7) 80 (7) 0.15
Heart Rate Day 9 77.5 (6.1) 80.2 (7.2) 0.11
Heart Rate Day 10 77 (7) 79 (6) 0.7
Heart Rate Day 11 76.6 (6.1) 77.9 (5.8) 0.6
1 Mean (SD)
2 Wilcoxon rank sum test

Table 4: Daily Respiratory Rate Measurements for Drug A Compared to Drug B:

Table 4: Daily Respiratory Rate Comparison Between Drug A and Drug B
Respiratory Rate A, N = 421 B, N = 581 p-value2
Respiratory Rate Day 1 22.83 (2.13) 24.07 (2.71) 0.039
Respiratory Rate Day 2 21.79 (2.25) 23.93 (3.50) <0.001
Respiratory Rate Day 3 21.7 (2.6) 23.4 (2.9) 0.020
Respiratory Rate Day 4 20.83 (2.45) 22.91 (2.12) <0.001
Respiratory Rate Day 5 20.6 (2.6) 22.3 (2.5) 0.007
Respiratory Rate Day 6 20.02 (3.12) 21.31 (2.52) 0.090
Respiratory Rate Day 7 19.69 (3.47) 21.56 (3.86) 0.053
Respiratory Rate Day 8 19.86 (3.50) 20.78 (2.60) 0.4
Respiratory Rate Day 9 19.50 (3.49) 20.05 (2.35) >0.9
Respiratory Rate Day 10 19.4 (3.4) 20.1 (2.4) 0.9
Respiratory Rate Day 11 18.90 (3.23) 19.36 (2.52) 0.7
1 Mean (SD)
2 Wilcoxon rank sum test

Table 5: Daily Oxygen Saturation Measurements for Drug A Compared to Drug B:

Table 5: Daily Oxygen Saturation Comparison Between Drug A and Drug B
Oxygen Saturation A, N = 421 B, N = 581 p-value2
Oxygen Saturation Day 1 91.6 (1.9) 86.7 (5.7) <0.001
Oxygen Saturation Day 2 92.4 (1.8) 87.5 (5.9) <0.001
Oxygen Saturation Day 3 93.3 (1.7) 87.7 (7.7) <0.001
Oxygen Saturation Day 4 93.7 (2.5) 88.2 (6.9) <0.001
Oxygen Saturation Day 5 94.0 (2.0) 89.7 (6.5) <0.001
Oxygen Saturation Day 6 94.9 (2.2) 90.6 (5.2) <0.001
Oxygen Saturation Day 7 95.4 (2.0) 91.7 (4.2) <0.001
Oxygen Saturation Day 8 95.7 (2.2) 92.0 (6.7) <0.001
Oxygen Saturation Day 9 95.9 (2.1) 93.0 (4.8) 0.002
Oxygen Saturation Day 10 96.4 (1.8) 93.7 (4.0) <0.001
Oxygen Saturation Day 11 96.76 (1.59) 95.02 (5.52) 0.2
1 Mean (SD)
2 Wilcoxon rank sum test

Table 6: Daily Respiratory Distress Status for Drug A Compared to Drug B:

Table 6: Treatment Group Comparison of Daily Respiratory Distress Status
Respiratory Distress A, N = 421 B, N = 581 p-value2
Respiratory Distress Day 1

0.2
    Absent 27 (64%) 30 (52%)
    Present 15 (36%) 28 (48%)
Respiratory Distress Day 2

0.057
    Absent 31 (74%) 32 (55%)
    Present 11 (26%) 26 (45%)
Respiratory Distress Day 3

0.001
    Absent 38 (90%) 36 (62%)
    Present 4 (9.5%) 22 (38%)
Respiratory Distress Day 4

<0.001
    Absent 41 (98%) 40 (69%)
    Present 1 (2.4%) 18 (31%)
Respiratory Distress Day 5

0.015
    Absent 40 (95%) 45 (78%)
    Present 2 (4.8%) 13 (22%)
Respiratory Distress Day 6

0.009
    Absent 42 (100%) 49 (84%)
    Present 0 (0%) 9 (16%)
Respiratory Distress Day 7

0.072
    Absent 42 (100%) 53 (91%)
    Present 0 (0%) 5 (8.6%)
Respiratory Distress Day 8

0.14
    Absent 42 (100%) 54 (93%)
    Present 0 (0%) 4 (6.9%)
Respiratory Distress Day 9

0.3
    Absent 42 (100%) 55 (95%)
    Present 0 (0%) 3 (5.2%)
Respiratory Distress Day 10

0.3
    Absent 42 (100%) 55 (95%)
    Present 0 (0%) 3 (5.2%)
Respiratory Distress Day 11

0.3
    Absent 42 (100%) 54 (95%)
    Present 0 (0%) 3 (5.3%)
1 n (%)
2 Pearson’s Chi-squared test; Fisher’s exact test

Estimated Effects of Treatment and Time on Vital Signs: GEE Model Results:

Table 7: Estimated Systolic Blood Pressure (SBP) Over Time by Treatment Group (GEE Model):

Table 7: Estimated Effects of Treatment and Time on SBP: GEE Model Results
Characteristic Beta 95% CI1 p-value
(Intercept) 115 113, 118 <0.001
Drug


    Drug A
    Drug B 4.2 -0.03, 8.5 0.051
Time


    Time 1
    Time 2 0.43 -3.5, 4.4 0.8
    Time 3 2.2 -1.9, 6.3 0.3
    Time 4 4.0 0.19, 7.8 0.040
    Time 5 3.9 -0.28, 8.0 0.068
    Time 6 3.1 -0.63, 6.9 0.10
    Time 7 3.1 -0.73, 7.0 0.11
    Time 8 1.0 -3.0, 5.0 0.6
    Time 9 -0.43 -4.3, 3.4 0.8
    Time 10 -0.67 -4.7, 3.4 0.7
    Time 11 1.0 -2.9, 4.9 0.6
Drug * Time


    Drug B * Time 2 -0.60 -6.3, 5.1 0.8
    Drug B * Time 3 -2.7 -8.7, 3.3 0.4
    Drug B * Time 4 -4.6 -10, 1.0 0.11
    Drug B * Time 5 -6.9 -13, -0.76 0.028
    Drug B * Time 6 -5.3 -11, 0.22 0.060
    Drug B * Time 7 -3.3 -9.2, 2.5 0.3
    Drug B * Time 8 -1.4 -7.2, 4.4 0.6
    Drug B * Time 9 1.3 -4.5, 7.0 0.7
    Drug B * Time 10 0.06 -5.9, 6.0 >0.9
    Drug B * Time 11 -3.4 -9.3, 2.5 0.3
1 CI = Confidence Interval

Table 7 shows the results of Generalized Estimating Equations (GEE) model, which accounts for the correlation within repeated measures. An increase of 4.2 mmHg in systolic blood pressure for subjects given drug B compared to subjects given drug A given that other factors being equal.(p-value=0.051). The p-value of time across different days is >0.05 which indicates that time doesn’t contribute significantly to the change in SBP.

Figure 8 shows Model-based estimates from the GEE analysis shows that systolic blood pressure was higher in participants receiving Drug B compared with Drug A, although estimated values for both groups remained within the normal range.

Table 8: Estimated Diastolic Blood Pressure (DBP) Over Time by Treatment Group (GEE Model):

Table 8: Estimated Effects of Treatment and Time on DBP: GEE Model Results
Characteristic Beta 95% CI1 p-value
(Intercept) 75 72, 78 <0.001
Drug


    Drug A
    Drug B 2.0 -1.5, 5.4 0.3
Time


    Time 1
    Time 2 -1.3 -4.7, 2.0 0.4
    Time 3 1.2 -2.4, 4.8 0.5
    Time 4 2.6 -0.88, 6.1 0.14
    Time 5 2.9 -0.82, 6.5 0.13
    Time 6 2.8 -0.53, 6.1 0.10
    Time 7 2.9 -0.64, 6.4 0.11
    Time 8 -0.95 -4.3, 2.4 0.6
    Time 9 0.00 -3.5, 3.5 >0.9
    Time 10 -1.9 -5.8, 2.0 0.3
    Time 11 1.4 -2.0, 4.9 0.4
Drug * Time


    Drug B * Time 2 1.0 -3.3, 5.3 0.6
    Drug B * Time 3 0.07 -4.5, 4.6 >0.9
    Drug B * Time 4 -1.9 -6.4, 2.5 0.4
    Drug B * Time 5 -4.3 -8.9, 0.28 0.066
    Drug B * Time 6 -4.4 -8.7, -0.05 0.047
    Drug B * Time 7 -2.9 -7.5, 1.6 0.2
    Drug B * Time 8 1.4 -3.0, 5.7 0.5
    Drug B * Time 9 0.78 -3.8, 5.3 0.7
    Drug B * Time 10 1.7 -3.1, 6.6 0.5
    Drug B * Time 11 -3.2 -7.7, 1.4 0.2
1 CI = Confidence Interval

GEE model estimates indicate that participants receiving Drug B had slightly higher diastolic blood pressure compared with Drug A, though the difference was not statistically significant at most time points. Both groups’ DBP remained within the normal physiological range across the study period.

Figure 9: Estimated marginal means from the GEE model indicate that diastolic blood pressure was generally similar between Drug A and Drug B across the study period, with slight fluctuations over time. Overall, DBP values for both treatment groups remained within the normal physiological range.

Table 9: Estimated Heart Rate (HR) Over Time by Treatment Group (GEE Model):

Table 9: Estimated Effects of Treatment and Time on Heart Rate (GEE Model Results)
Characteristic Beta 95% CI1 p-value
Drug


    Drug A
    Drug B 0.69 -3.3, 4.6 0.7
Time


    Time 1
    Time 2 0.36 -3.7, 4.5 0.9
    Time 3 -1.4 -5.3, 2.6 0.5
    Time 4 -2.1 -6.5, 2.3 0.3
    Time 5 -1.5 -5.4, 2.4 0.4
    Time 6 -1.6 -5.5, 2.2 0.4
    Time 7 -0.38 -4.4, 3.6 0.9
    Time 8 0.48 -3.8, 4.8 0.8
    Time 9 -0.52 -4.8, 3.8 0.8
    Time 10 -0.60 -5.1, 3.9 0.8
    Time 11 -0.33 -4.8, 4.1 0.9
Drug * Time


    Drug B * Time 2 -1.2 -6.1, 3.8 0.6
    Drug B * Time 3 0.60 -4.2, 5.4 0.8
    Drug B * Time 4 2.6 -2.7, 8.0 0.3
    Drug B * Time 5 3.1 -2.0, 8.3 0.2
    Drug B * Time 6 2.0 -2.7, 6.7 0.4
    Drug B * Time 7 1.6 -3.3, 6.5 0.5
    Drug B * Time 8 -0.67 -5.6, 4.3 0.8
    Drug B * Time 9 1.4 -3.7, 6.6 0.6
    Drug B * Time 10 0.99 -4.4, 6.4 0.7
    Drug B * Time 11 -0.77 -5.9, 4.4 0.8
1 CI = Confidence Interval

GEE model estimates indicate that heart rate decreased over time across both treatment groups, with several time points showing statistically significant reductions compared with baseline. There was no significant difference in heart rate between Drug A and Drug B at any time point, and the interaction terms were not significant, suggesting a similar temporal pattern of heart rate change for both treatments.

Figure 10 Estimated heart rate from the GEE model showed fluctuations over the study period, with a slight increase observed in participants receiving Drug B compared with Drug A. Overall, heart rate remained within normal physiological limits for both groups.

Table 10: Estimated Temperature Over Time by Treatment Group (GEE Model):

Table 10: Estimated Effects of Treatment and Time on Temperature (GEE Model Results)
Characteristic Beta 95% CI1 p-value
Drug


    Drug A
    Drug B -0.07 -0.27, 0.13 0.5
Time


    Time 1
    Time 2 0.07 -0.18, 0.31 0.6
    Time 3 0.07 -0.18, 0.32 0.6
    Time 4 -0.01 -0.25, 0.22 >0.9
    Time 5 0.02 -0.21, 0.26 0.8
    Time 6 0.09 -0.16, 0.34 0.5
    Time 7 0.02 -0.25, 0.28 >0.9
    Time 8 -0.01 -0.28, 0.26 >0.9
    Time 9 -0.04 -0.29, 0.21 0.7
    Time 10 -0.06 -0.29, 0.18 0.6
    Time 11 -0.08 -0.31, 0.14 0.5
Drug * Time


    Drug B * Time 2 -0.07 -0.35, 0.20 0.6
    Drug B * Time 3 0.01 -0.28, 0.30 >0.9
    Drug B * Time 4 0.16 -0.13, 0.46 0.3
    Drug B * Time 5 0.15 -0.15, 0.45 0.3
    Drug B * Time 6 -0.01 -0.31, 0.29 >0.9
    Drug B * Time 7 0.10 -0.21, 0.41 0.5
    Drug B * Time 8 0.10 -0.20, 0.41 0.5
    Drug B * Time 9 0.08 -0.20, 0.36 0.6
    Drug B * Time 10 0.06 -0.21, 0.34 0.6
    Drug B * Time 11 0.11 -0.15, 0.37 0.4
1 CI = Confidence Interval

The GEE model–based estimates indicate that body temperature remained generally stable over the study period in both treatment groups. Slight fluctuations were observed at certain time points, with minor decreases noted for Drug B, but these differences were not statistically significant overall. Overall, temperatures remained within the normal physiological range for all participants.

Figure 11: Body temperature showed small fluctuations over time in both groups, with Drug B tending to run slightly lower at a few time points. Overall, the patterns were similar between treatments.

Table 12: Estimated Respiratory Rate (RR) Over Time by Treatment Group (GEE Model):

Table 12: Estimated Effects of Treatment and Time on Respiratory Rate (GEE Model Results)
Characteristic Beta 95% CI1 p-value
Drug


    Drug A
    Drug B 1.2 -0.07, 2.4 0.064
Time


    Time 1
    Time 2 0.33 -0.89, 1.6 0.6
    Time 3 0.00 -1.2, 1.2 >0.9
    Time 4 0.02 -1.2, 1.2 >0.9
    Time 5 0.00 -1.3, 1.3 >0.9
    Time 6 0.05 -1.3, 1.4 >0.9
    Time 7 -0.02 -1.4, 1.3 >0.9
    Time 8 0.29 -1.1, 1.7 0.7
    Time 9 -0.21 -1.6, 1.1 0.8
    Time 10 -0.10 -1.4, 1.2 0.9
    Time 11 0.31 -1.0, 1.7 0.7
Drug * Time


    Drug B * Time 2 -0.68 -2.4, 1.0 0.4
    Drug B * Time 3 0.52 -1.2, 2.3 0.6
    Drug B * Time 4 0.60 -1.3, 2.5 0.5
    Drug B * Time 5 0.55 -1.2, 2.3 0.5
    Drug B * Time 6 0.47 -1.3, 2.2 0.6
    Drug B * Time 7 0.46 -1.3, 2.3 0.6
    Drug B * Time 8 -0.27 -2.1, 1.5 0.8
    Drug B * Time 9 0.25 -1.5, 2.0 0.8
    Drug B * Time 10 0.22 -1.6, 2.0 0.8
    Drug B * Time 11 -0.43 -2.2, 1.3 0.6
1 CI = Confidence Interval

The GEE model–based estimates indicate that Respiratory rate declined over time in both treatment groups. Drug B showed slightly higher rates overall, but the pattern of change was similar between the two groups.

Figure 12 shows a steady drop in respiratory rate across time, with Drug B tracking slightly above Drug A throughout the follow-up.

Table 13: Estimated Oxygen Saturation (SpO2) Over Time by Treatment Group (GEE Model):

Table 13: Estimated Effects of Treatment and Time on Oxygen Saturation (GEE Model Results)
Characteristic Beta 95% CI1 p-value
Drug


    Drug A
    Drug B -4.1 -5.9, -2.3 <0.001
Time


    Time 1
    Time 2 0.10 -1.0, 1.2 0.9
    Time 3 -0.12 -1.3, 1.0 0.8
    Time 4 0.10 -0.99, 1.2 0.9
    Time 5 -0.17 -1.3, 0.98 0.8
    Time 6 -0.21 -1.4, 0.94 0.7
    Time 7 0.07 -0.95, 1.1 0.9
    Time 8 0.21 -0.82, 1.2 0.7
    Time 9 0.26 -0.80, 1.3 0.6
    Time 10 0.50 -0.55, 1.6 0.4
    Time 11 0.31 -0.78, 1.4 0.6
Drug * Time


    Drug B * Time 2 0.89 -1.4, 3.2 0.4
    Drug B * Time 3 0.21 -2.3, 2.8 0.9
    Drug B * Time 4 -0.32 -2.8, 2.2 0.8
    Drug B * Time 5 0.17 -2.3, 2.7 0.9
    Drug B * Time 6 -0.89 -4.0, 2.2 0.6
    Drug B * Time 7 -0.24 -2.8, 2.3 0.9
    Drug B * Time 8 -0.66 -3.5, 2.1 0.6
    Drug B * Time 9 0.41 -2.0, 2.8 0.7
    Drug B * Time 10 0.59 -1.7, 2.8 0.6
    Drug B * Time 11 0.45 -2.0, 2.9 0.7
1 CI = Confidence Interval

The GEE model–based estimates indicate that Oxygen saturation stayed within a stable range over time, but patients on Drug B tended to have slightly lower readings compared with those on Drug A. This difference was consistent throughout the follow-up period.

Figure 13 shows that Patients on Drug B showed lower oxygen saturation than those on Drug A at certain time points.

Table 14: Estimated Respiratory Distress Over Time by Treatment Group (GEE Model):

Table 14: Estimated Effects of Treatment and Time on Respiratory Distress (GEE Model Results)
Characteristic log(OR)1 95% CI1 p-value
Drug


    Drug A
    Drug B 1.2 0.84, 1.7 <0.001
Time


    Time 1
    Time 2 0.09 -0.74, 0.92 0.8
    Time 3 0.40 -0.39, 1.2 0.3
    Time 4 0.40 -0.40, 1.2 0.3
    Time 5 0.33 -0.47, 1.1 0.4
    Time 6 0.33 -0.47, 1.1 0.4
    Time 7 0.33 -0.46, 1.1 0.4
    Time 8 0.25 -0.55, 1.1 0.5
    Time 9 0.09 -0.74, 0.91 0.8
    Time 10 0.00 -0.84, 0.84 >0.9
    Time 11 -0.29 -1.2, 0.61 0.5
1 OR = Odds Ratio, CI = Confidence Interval

The GEE model–based estimates indicate that Patients receiving Drug B showed consistently higher levels of respiratory distress compared with those on Drug A. While distress tended to decrease over time in both groups, the difference between the drugs remained noticeable at several time points, particularly in the early measurements. This suggests that Drug B may be associated with an increased risk or severity of respiratory discomfort during the observation period.

Figure 14 shows that Patients on Drug B experienced higher levels of respiratory distress compared with Drug A, particularly at the early time points.

GEE Model Estimates for Blood Pressure, Heart Rate, Temperature, Respiratory Rate, Oxygen Saturation, and Distress:

Table 15: Summary of GEE Model Results Across All Measures
Characteristic Systolic Blood Pressure Diastolic Blood Pressure Heart Rate Temperature Respiratory Rate Oxygen Saturation Respiratory Distress
Beta 95% CI1 p-value Beta 95% CI1 p-value Beta 95% CI1 p-value Beta 95% CI1 p-value Beta 95% CI1 p-value Beta 95% CI1 p-value log(OR)1 95% CI1 p-value
Drug




















    Drug A






    Drug B 4.2 -0.03, 8.5 0.051 2.0 -1.5, 5.4 0.3 0.69 -3.3, 4.6 0.7 -0.07 -0.27, 0.13 0.5 1.2 -0.07, 2.4 0.064 -4.1 -5.9, -2.3 <0.001 1.2 0.84, 1.7 <0.001
Time




















    Time 1






    Time 2 0.43 -3.5, 4.4 0.8 -1.3 -4.7, 2.0 0.4 0.36 -3.7, 4.5 0.9 0.07 -0.18, 0.31 0.6 0.33 -0.89, 1.6 0.6 0.10 -1.0, 1.2 0.9 0.09 -0.74, 0.92 0.8
    Time 3 2.2 -1.9, 6.3 0.3 1.2 -2.4, 4.8 0.5 -1.4 -5.3, 2.6 0.5 0.07 -0.18, 0.32 0.6 0.00 -1.2, 1.2 >0.9 -0.12 -1.3, 1.0 0.8 0.40 -0.39, 1.2 0.3
    Time 4 4.0 0.19, 7.8 0.040 2.6 -0.88, 6.1 0.14 -2.1 -6.5, 2.3 0.3 -0.01 -0.25, 0.22 >0.9 0.02 -1.2, 1.2 >0.9 0.10 -0.99, 1.2 0.9 0.40 -0.40, 1.2 0.3
    Time 5 3.9 -0.28, 8.0 0.068 2.9 -0.82, 6.5 0.13 -1.5 -5.4, 2.4 0.4 0.02 -0.21, 0.26 0.8 0.00 -1.3, 1.3 >0.9 -0.17 -1.3, 0.98 0.8 0.33 -0.47, 1.1 0.4
    Time 6 3.1 -0.63, 6.9 0.10 2.8 -0.53, 6.1 0.10 -1.6 -5.5, 2.2 0.4 0.09 -0.16, 0.34 0.5 0.05 -1.3, 1.4 >0.9 -0.21 -1.4, 0.94 0.7 0.33 -0.47, 1.1 0.4
    Time 7 3.1 -0.73, 7.0 0.11 2.9 -0.64, 6.4 0.11 -0.38 -4.4, 3.6 0.9 0.02 -0.25, 0.28 >0.9 -0.02 -1.4, 1.3 >0.9 0.07 -0.95, 1.1 0.9 0.33 -0.46, 1.1 0.4
    Time 8 1.0 -3.0, 5.0 0.6 -0.95 -4.3, 2.4 0.6 0.48 -3.8, 4.8 0.8 -0.01 -0.28, 0.26 >0.9 0.29 -1.1, 1.7 0.7 0.21 -0.82, 1.2 0.7 0.25 -0.55, 1.1 0.5
    Time 9 -0.43 -4.3, 3.4 0.8 0.00 -3.5, 3.5 >0.9 -0.52 -4.8, 3.8 0.8 -0.04 -0.29, 0.21 0.7 -0.21 -1.6, 1.1 0.8 0.26 -0.80, 1.3 0.6 0.09 -0.74, 0.91 0.8
    Time 10 -0.67 -4.7, 3.4 0.7 -1.9 -5.8, 2.0 0.3 -0.60 -5.1, 3.9 0.8 -0.06 -0.29, 0.18 0.6 -0.10 -1.4, 1.2 0.9 0.50 -0.55, 1.6 0.4 0.00 -0.84, 0.84 >0.9
    Time 11 1.0 -2.9, 4.9 0.6 1.4 -2.0, 4.9 0.4 -0.33 -4.8, 4.1 0.9 -0.08 -0.31, 0.14 0.5 0.31 -1.0, 1.7 0.7 0.31 -0.78, 1.4 0.6 -0.29 -1.2, 0.61 0.5
Drug * Time




















    Drug B * Time 2 -0.60 -6.3, 5.1 0.8 1.0 -3.3, 5.3 0.6 -1.2 -6.1, 3.8 0.6 -0.07 -0.35, 0.20 0.6 -0.68 -2.4, 1.0 0.4 0.89 -1.4, 3.2 0.4


    Drug B * Time 3 -2.7 -8.7, 3.3 0.4 0.07 -4.5, 4.6 >0.9 0.60 -4.2, 5.4 0.8 0.01 -0.28, 0.30 >0.9 0.52 -1.2, 2.3 0.6 0.21 -2.3, 2.8 0.9


    Drug B * Time 4 -4.6 -10, 1.0 0.11 -1.9 -6.4, 2.5 0.4 2.6 -2.7, 8.0 0.3 0.16 -0.13, 0.46 0.3 0.60 -1.3, 2.5 0.5 -0.32 -2.8, 2.2 0.8


    Drug B * Time 5 -6.9 -13, -0.76 0.028 -4.3 -8.9, 0.28 0.066 3.1 -2.0, 8.3 0.2 0.15 -0.15, 0.45 0.3 0.55 -1.2, 2.3 0.5 0.17 -2.3, 2.7 0.9


    Drug B * Time 6 -5.3 -11, 0.22 0.060 -4.4 -8.7, -0.05 0.047 2.0 -2.7, 6.7 0.4 -0.01 -0.31, 0.29 >0.9 0.47 -1.3, 2.2 0.6 -0.89 -4.0, 2.2 0.6


    Drug B * Time 7 -3.3 -9.2, 2.5 0.3 -2.9 -7.5, 1.6 0.2 1.6 -3.3, 6.5 0.5 0.10 -0.21, 0.41 0.5 0.46 -1.3, 2.3 0.6 -0.24 -2.8, 2.3 0.9


    Drug B * Time 8 -1.4 -7.2, 4.4 0.6 1.4 -3.0, 5.7 0.5 -0.67 -5.6, 4.3 0.8 0.10 -0.20, 0.41 0.5 -0.27 -2.1, 1.5 0.8 -0.66 -3.5, 2.1 0.6


    Drug B * Time 9 1.3 -4.5, 7.0 0.7 0.78 -3.8, 5.3 0.7 1.4 -3.7, 6.6 0.6 0.08 -0.20, 0.36 0.6 0.25 -1.5, 2.0 0.8 0.41 -2.0, 2.8 0.7


    Drug B * Time 10 0.06 -5.9, 6.0 >0.9 1.7 -3.1, 6.6 0.5 0.99 -4.4, 6.4 0.7 0.06 -0.21, 0.34 0.6 0.22 -1.6, 2.0 0.8 0.59 -1.7, 2.8 0.6


    Drug B * Time 11 -3.4 -9.3, 2.5 0.3 -3.2 -7.7, 1.4 0.2 -0.77 -5.9, 4.4 0.8 0.11 -0.15, 0.37 0.4 -0.43 -2.2, 1.3 0.6 0.45 -2.0, 2.9 0.7


1 CI = Confidence Interval, OR = Odds Ratio

Conclusion:

In this study, Drug B was associated with a slight increase in systolic blood pressure compared to Drug A, with a marginally non-significant p-value of 0.051. Diastolic blood pressure, heart rate, body temperature, and respiratory rate remained similar across both treatment groups, with no significant differences at most time points. Oxygen saturation was slightly lower in participants receiving Drug B, though the difference was not clinically meaningful. Notably, patients on Drug B reported higher levels of respiratory distress, particularly during the initial phases of the trial. Overall, both treatments were generally well tolerated, with no major adverse effects observed, although Drug B may be linked to a higher risk of respiratory discomfort during the observation period.