Percentage of vulnerable adults admitted to ICU who survive at least 48 hours who have their care preferences documented within 48 hours OR documentation as to why this was not done.
Note: This work will draw heavily from:
Time Since Admission (Within two days of admission)Intensive Care Unit on Admission (MICU, SICU, etc.),Care Provider Expertise (Attending, Resident/Fellow/PA/NP)
11,104 Observations (Patient Notes)1075 Patients1268 Hospital admissions464 Care providers
##
## 0 1
## Attending 2232 1314
## Resident/Fellow/PA/NP 4409 3149
##
## Pearson's Chi-squared test with Yates' continuity correction
##
## data: test
## X-squared = 21.135, df = 1, p-value = 4.281e-06
##
## 0 1
## CCU 988 555
## CSRU 290 68
## MICU 4200 3167
## SICU 719 416
## TSICU 444 257
Hierarchical models can be helpful in discovering the most important associations given their use of random effects and fixed effects. Because our outcome is binary, we will utilize a Generalized Linear Mixed Effects Model (GLMER).
TIME_SINCE_ADMIT (discrete, 0 through 2 days)FIRST_CAREUNIT (categorical, MICU, SICU, TSICU, CCU, CSRU)CG_DESCRIPTION (categorical, Attending, Resident/Fellow/PA/NP)CGID, as a random effect.\[\overbrace{\mathbf{y}}^{\mbox{1075 x 1}} \quad = \quad \overbrace{\underbrace{\mathbf{X}}_{\mbox{1075 x 4}} \quad \underbrace{\boldsymbol{\beta}}_{\mbox{Fixed Effect Coefficients}}}^{\mbox{1075 x 1}} \quad + \quad \overbrace{\underbrace{\mathbf{Z}}_{\mbox{1075 x 464}} \quad \underbrace{\boldsymbol{u}}_{\mbox{Random Effects}}}^{\mbox{1075 x 1}} \quad + \quad \overbrace{\boldsymbol{\varepsilon}}^{\mbox{1075 x 1}}\]
Due to variation between the amount of patients seen by Attending physicians as compared to Residents over time, we will treat clinicians themselves as random effects, which implies the use of partial pooling within the model. We can demonstrate this by randomly sampling 30 care providers and modeling their documentation over the first two days of patient admission.
##
## CG_14010 CG_14022 CG_14037 CG_14045 CG_14056 CG_14080 CG_14110 CG_14114
## 13 1 94 37 13 6 9 7
## CG_14116 CG_14126 CG_14154 CG_14180 CG_14184 CG_14240 CG_14252 CG_14269
## 62 6 34 45 2 20 77 41
## CG_14307 CG_14330 CG_14331 CG_14354 CG_14356 CG_14384 CG_14393 CG_14417
## 3 48 2 2 9 6 15 20
## CG_14444
## 16
## Generalized linear mixed model fit by maximum likelihood (Adaptive
## Gauss-Hermite Quadrature, nAGQ = 10) [glmerMod]
## Family: binomial ( logit )
## Formula: Caremeasure_Implementation ~ TIME_SINCE_ADMIT + FIRST_CAREUNIT +
## CG_DESCRIPTION + (1 | CGID)
## Data: dat
## Control: glmerControl(optimizer = "bobyqa")
##
## AIC BIC logLik deviance df.resid
## 14215.0 14273.5 -7099.5 14199.0 11096
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -2.2801 -0.7880 -0.5058 0.9837 3.5087
##
## Random effects:
## Groups Name Variance Std.Dev.
## CGID (Intercept) 0.8456 0.9196
## Number of obs: 11104, groups: CGID, 464
##
## Fixed effects:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -0.79524 0.14836 -5.360 8.31e-08
## TIME_SINCE_ADMIT -0.07629 0.03181 -2.398 0.0165
## FIRST_CAREUNITCSRU -0.34878 0.16977 -2.054 0.0399
## FIRST_CAREUNITMICU 0.33219 0.07358 4.515 6.34e-06
## FIRST_CAREUNITSICU 0.42726 0.10691 3.997 6.43e-05
## FIRST_CAREUNITTSICU 0.58015 0.12860 4.511 6.44e-06
## CG_DESCRIPTIONResident/Fellow/PA/NP 0.08846 0.14334 0.617 0.5372
##
## (Intercept) ***
## TIME_SINCE_ADMIT *
## FIRST_CAREUNITCSRU *
## FIRST_CAREUNITMICU ***
## FIRST_CAREUNITSICU ***
## FIRST_CAREUNITTSICU ***
## CG_DESCRIPTIONResident/Fellow/PA/NP
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Correlation of Fixed Effects:
## (Intr) TIME_S FIRST_CAREUNITC FIRST_CAREUNITM
## TIME_SINCE_ -0.261
## FIRST_CAREUNITC -0.174 -0.014
## FIRST_CAREUNITM -0.362 -0.008 0.296
## FIRST_CAREUNITS -0.297 0.005 0.273 0.564
## FIRST_CAREUNITT -0.271 0.006 0.251 0.469
## CG_DESCRIPT -0.795 0.012 0.003 -0.036
## FIRST_CAREUNITS FIRST_CAREUNITT
## TIME_SINCE_
## FIRST_CAREUNITC
## FIRST_CAREUNITM
## FIRST_CAREUNITS
## FIRST_CAREUNITT 0.529
## CG_DESCRIPT -0.026 -0.014
| Â | Â | Caremeasure_Implementation | ||
| Â | Â | Odds Ratio | CI | p |
| Fixed Parts | ||||
| (Intercept) |  | 0.45 | 0.34 – 0.60 | <.001 |
| TIME_SINCE_ADMIT |  | 0.93 | 0.87 – 0.99 | .016 |
| FIRST_CAREUNIT (CSRU) |  | 0.71 | 0.51 – 0.98 | .040 |
| FIRST_CAREUNIT (MICU) |  | 1.39 | 1.21 – 1.61 | <.001 |
| FIRST_CAREUNIT (SICU) |  | 1.53 | 1.24 – 1.89 | <.001 |
| FIRST_CAREUNIT (TSICU) |  | 1.79 | 1.39 – 2.30 | <.001 |
| CG_DESCRIPTION (Resident/Fellow/PA/NP) |  | 1.09 | 0.82 – 1.45 | .537 |
| Random Parts | ||||
| τ00, CGID |  | 0.846 | ||
| NCGID | Â | 464 | ||
| ICCCGID | Â | 0.204 | ||
| Observations | Â | 11104 | ||
| Deviance | Â | 13296.641 | ||