2 Primary model
The primary model enters emergency department length of stay and CTAS together. CTAS uses level 1 as the reference. The two single-covariate models are shown first so the adjusted result can be compared with the unadjusted one.
2.1 Emergency department length of stay
\[ \mathrm{StayDays}_i = \beta_0 + \beta_{\mathrm{LOS}}\,\mathrm{LOS}_i + \varepsilon_i \]
| Term | Coefficient, days | 95% CI | P value |
|---|---|---|---|
| Emergency department length of stay | 0.002 | 0.002 to 0.003 | <0.001 |
| Emergency department length of stay, per 60 minutes | 0.147 | 0.102 to 0.192 | <0.001 |
In this single-covariate model, each additional minute of emergency department length of stay is associated with an inpatient stay 0.002 days longer (coefficient 0.002, 95% CI 0.002 to 0.003, p <0.001). Rescaled to 60 minutes, the coefficient is 0.147 days (95% CI 0.102 to 0.192). This association is statistically significant.
2.2 CTAS level
\[ \begin{aligned} \mathrm{StayDays}_i &= \beta_0 + \beta_{2}\,\mathbf{1}(\mathrm{CTAS}_i = 2) + \beta_{3}\,\mathbf{1}(\mathrm{CTAS}_i = 3) \\ &\quad {}+ \beta_{4}\,\mathbf{1}(\mathrm{CTAS}_i = 4) + \beta_{5}\,\mathbf{1}(\mathrm{CTAS}_i = 5) + \varepsilon_i \end{aligned} \]
| Term | Coefficient, days | 95% CI | P value |
|---|---|---|---|
| CTAS level: 2 vs 1 | -1.134 | -1.310 to -0.957 | <0.001 |
| CTAS level: 3 vs 1 | -1.678 | -1.869 to -1.487 | <0.001 |
| CTAS level: 4 vs 1 | -2.248 | -2.505 to -1.991 | <0.001 |
| CTAS level: 5 vs 1 | -2.759 | -3.188 to -2.330 | <0.001 |
In this single-covariate model, compared with CTAS 1, CTAS 2 is associated with an inpatient stay 1.134 days shorter (coefficient -1.134, 95% CI -1.310 to -0.957, p <0.001). This association is statistically significant.
In this single-covariate model, compared with CTAS 1, CTAS 3 is associated with an inpatient stay 1.678 days shorter (coefficient -1.678, 95% CI -1.869 to -1.487, p <0.001). This association is statistically significant.
In this single-covariate model, compared with CTAS 1, CTAS 4 is associated with an inpatient stay 2.248 days shorter (coefficient -2.248, 95% CI -2.505 to -1.991, p <0.001). This association is statistically significant.
In this single-covariate model, compared with CTAS 1, CTAS 5 is associated with an inpatient stay 2.759 days shorter (coefficient -2.759, 95% CI -3.188 to -2.330, p <0.001). This association is statistically significant.
This is the primary model. It enters emergency department length of stay and CTAS together. CTAS level 1 remains the reference. Each coefficient is adjusted for the other covariate.
\[ \begin{aligned} \mathrm{StayDays}_i &= \beta_0 + \beta_{\mathrm{LOS}}\,\mathrm{LOS}_i + \beta_{2}\,\mathbf{1}(\mathrm{CTAS}_i = 2) \\ &\quad {}+ \beta_{3}\,\mathbf{1}(\mathrm{CTAS}_i = 3) + \beta_{4}\,\mathbf{1}(\mathrm{CTAS}_i = 4) \\ &\quad {}+ \beta_{5}\,\mathbf{1}(\mathrm{CTAS}_i = 5) + \varepsilon_i \end{aligned} \]
| Term | Coefficient, days | 95% CI | P value |
|---|---|---|---|
| Emergency department length of stay | -0.0002 | -0.0009 to 0.0006 | 0.622 |
| Emergency department length of stay, per 60 minutes | -0.011 | -0.056 to 0.034 | 0.622 |
| CTAS level: 2 vs 1 | -1.141 | -1.320 to -0.962 | <0.001 |
| CTAS level: 3 vs 1 | -1.691 | -1.888 to -1.494 | <0.001 |
| CTAS level: 4 vs 1 | -2.264 | -2.529 to -1.999 | <0.001 |
| CTAS level: 5 vs 1 | -2.779 | -3.214 to -2.343 | <0.001 |
Interpretation
After adjustment for the other covariates in this model, each additional minute of emergency department length of stay is associated with an inpatient stay 0.0002 days shorter (coefficient -0.0002, 95% CI -0.0009 to 0.0006, p 0.622). Rescaled to 60 minutes, the coefficient is -0.011 days (95% CI -0.056 to 0.034). This association is not statistically significant.
After adjustment for the other covariates in this model, compared with CTAS 1, CTAS 2 is associated with an inpatient stay 1.141 days shorter (coefficient -1.141, 95% CI -1.320 to -0.962, p <0.001). This association is statistically significant.
After adjustment for the other covariates in this model, compared with CTAS 1, CTAS 3 is associated with an inpatient stay 1.691 days shorter (coefficient -1.691, 95% CI -1.888 to -1.494, p <0.001). This association is statistically significant.
After adjustment for the other covariates in this model, compared with CTAS 1, CTAS 4 is associated with an inpatient stay 2.264 days shorter (coefficient -2.264, 95% CI -2.529 to -1.999, p <0.001). This association is statistically significant.
After adjustment for the other covariates in this model, compared with CTAS 1, CTAS 5 is associated with an inpatient stay 2.779 days shorter (coefficient -2.779, 95% CI -3.214 to -2.343, p <0.001). This association is statistically significant.