## 3 Results
### Study of Group and Parameter Effects on IPP in the Form of an ANCOVA Model  
We fitted a linear model to predict IPP with group and parameter (formula: IPP \(\sim\) group + parameter * group). The model explained a statistically significant and substantial proportion of variance (\(R^{2}\) = 0.59, \(F\)(13, 4880237) = 5.32 * 10\({}^{5}\), \(p\)\(<\) 0.001, \(R^{2}\)_adj_ = 0.59). The estimated marginal means for the groups only and for the parameters within the groups can be found in Tables 3 and 4. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{_Parameter_} & \multirow{2}{*}{_Group_} & \multicolumn{4}{c}{_IPP, cmH\({}_{2}\)O_} \\ \cline{3-5}  & & _EMMs_ & _SE_ & **95\% CI** \\ \hline
12 W 15 Hz 0.8 J & 10F/12F & 157.08 & 0.09 & [156.91, 157.26] \\  & 12/14 Fr & 18.33 & 0.15 & [18.04, 18.61] \\ \hline
15 W 15 Hz 1.0 J & 10/12 Fr & 133.34 & 0.12 & [133.10, 133.59] \\  & 12/14 Fr & 19.68 & 0.12 & [19.46, 19.91] \\ \hline
15 W 50 Hz 0.3 J & 10/12 Fr & 182.11 & 0.07 & [181.97, 182.25] \\  & 12/14 Fr & 23.98 & 0.13 & [22.73, 24.24] \\ \hline
18 W 15 Hz 1.2 J & 10/12 Fr & 187.95 & 0.10 & [187.75, 188.15] \\  & 12/14 Fr & 23.03 & 0.12 & [22.79, 23.27] \\ \hline
18 W 30 Hz 0.6 J & 10/12 Fr & 204.80 & 0.11 & [204.57, 205.02] \\  & 12/14 Fr & 22.60 & 0.11 & [22.39, 22.81] \\ \hline
20 W 10 Hz 2.0 J & 10/12 Fr & 167.11 & 0.10 & [166.92, 167.31] \\  & 12/14 Fr & 23.76 & 0.11 & [23.54, 23.97] \\ \hline
25 W 10 Hz 2.5 J & 10/12 Fr & 181.63 & 0.11 & [181.42, 181.85] \\  & 12/14 Fr & 25.82 & 0.13 & [25.57, 26.08] \\ \hline \hline \end{tabular}
\end{table} 
Table 4: EMMs between the 10/12 Fr and 12/14 Fr groups conditioned by the parameters. _EMMs_—Estimated marginal means; _SE_—the standard error; 95% CI—95% confidence interval. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{_Parameter_, \(\mathbf{W/HzJ}\)} & \multirow{2}{*}{_Group_} & \multirow{2}{*}{_n_} & \multicolumn{4}{c}{_cmH\({}_{2}\)O_} \\ \cline{3-5}  & & & _M (SD)_ & _Mdn (Q1, Q3)_ & _Min_ & _Max_ \\ \hline
12/15/0.8 & 10/12 Fr & 497,026 & 157.1 (78.8) & 151.0 (99.7, 208.0) & 6.8 & 414.7 \\
12/14 Fr & 190,023 & 18.3 (7.6) & 17.5(12.9, 22.8) & 6.8 & 86.9 \\ \hline
15/15/1.0 & 10/12 Fr & 266,082 & 133.3 (63.4) & 134.9 (91.6, 175.2) & 6.8 & 332.4 \\  & 12/14 Fr & 297,294 & 19.7 (7.15) & 19.9 (14.0, 24.5) & 6.8 & 60.4 \\ \hline
15/50/0.3 & 10/12 Fr & 755,398 & 182.1 (73.0) & 183.4 (136.2, 225.5) & 6.8 & 411.9 \\  & 12/14 Fr & 234,420 & 24.0 (11.9) & 24.1 (12.6, 32.2) & 6.8 & 94.4 \\ \hline
18/15/1.2 & 10/12 Fr & 396,417 & 188.0 (74.9) & 193.2 (135.7, 242.0) & 6.8 & 461.7 \\  & 12/14 Fr & 272,102 & 23.0 (9.5) & 23.7 (14.8, 29.9) & 6.8 & 87.7 \\ \hline
18/30/0.6 & 10/12 Fr & 314,585 & 204.8 (97.5) & 204.6 (125.9, 275.3) & 6.8 & 415.5 \\  & 12/14 Fr & 351,461 & 22.6 (11.5) & 20.7 (133.3, 29.9) & 6.8 & 106.4 \\ \hline
20/10/2.0 & 10/12 Fr & 400,407 & 167.1(77.3) & 163.1 (108.1, 217.9) & 6.8 & 414.8 \\  & 12/14 Fr & 339,951 & 23.8 (11.5) & 22.7 (14.6, 31.00) & 6.8 & 96.1 \\ \hline
25/10/2.5 & 10/12 Fr & 327,860 & 181.6 (106.8) & 168.7 (94.4, 253.1) & 6.8 & 414.6 \\  & 12/14 Fr & 237,225 & 25.8 (13.8) & 23.0 (15.1, 34.9) & 6.8 & 96.0 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Descriptive statistics of IPP distributions for the 10/12 Fr and 12/14 Fr UAS groups by individual parameters. _W_—watts, _Hz_—hertz, _J_—joule; _Mdn_—median; _QI_—the first quartile (25%); _Q3_—the third quartile (75%). \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{_Group_} & \multicolumn{4}{c}{_IPP, cmH\({}_{2}\)O_} \\ \cline{2-4}  & _EMMs_ & _SE_ & **95\% CI** \\ \hline
10/12 Fr & 173.43 & 0.04 & [173.36, 173.51] \\
12/14 Fr & 22.46 & 0.05 & [22.37, 22.55] \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Estimated marginal means (EMMs) of IPP for the 10/12 Fr and 12/14 Fr UAS groups. _SE_—the standard error; 95% CI—95% confidence interval.