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. 2014 Sep 8;49(5):1475–1497. doi: 10.1111/1475-6773.12226

Table 1.

Assessing if Patient Covariates and Outcomes Vary Significantly across Hospitals. We compare the variation among hospitals in patient covariates and outcomes to the variation that would have been expected had patients been randomly assigned to hospitals. After matching, the patients are more similar on measured covariates than expected by random assignment, yet very different on outcomes. For the χ2 statistics, a χ2/degrees of freedom (=42 for 43 hospitals) that is greater than 1 suggests more variation than random, and less than 1 suggests less variation than random. For financial outcomes and procedure time, we display the Hodges–Lehmann estimates, and we report the statistic and p-value using the Kruskal–Wallis test. Note that patient variables are very stable across hospitals, whereas hospital outcomes are not

Percentile Range (Hospital Means or Hodges–Lehmann Estimates)
Patient Covariates Lower Eighth (12.5th) Lower Quartile (25th) Median Upper Quartile (75th) Upper Eighth (87.5th) Chi-Square Statistic/DF p-value
Age (years) 75.7 75.7 75.9 76.1 76.4 0.84311 .7538
Gender (% male) 41.7 42.0 42.0 42.7 42.7 0.03734 1.0000
Probability of 30-day death 0.0238 0.0244 0.0260 0.0281 0.0290 0.27678 1.0000
Predicted procedure time (minutes) 137.5 137.7 138.2 138.7 138.9 0.39881 .9998
Emergency admission 15.7 16.0 16.7 17.0 17.0 0.11402 1.0000
Transfer-in 3.3 4.3 5.7 5.7 5.7 0.67780 .9451
Comorbidities
 CHF 15.7 16.3 16.7 17.0 17.3 0.14154 1.0000
 Past arrhythmia 22.0 22.3 22.7 23.0 23.7 0.11405 1.0000
 Past myocardial infarction 10.0 10.3 10.7 10.7 10.7 0.09536 1.0000
 Angina 3.3 3.3 3.7 4.0 5.0 0.49806 .9977
 Diabetes 26.0 26.3 26.3 26.7 27.0 0.03394 1.0000
 Renal dysfunction 6.0 6.0 6.3 6.7 6.7 0.09357 1.0000
 COPD 16.3 17.0 17.3 18.0 18.3 0.17837 1.0000
 Asthma 13.0 13.0 13.3 13.7 13.7 0.10066 1.0000
Percentile Range (Hospital Means or Hodges–Lehmann Estimates)
Outcomes Lower Eighth (12.5th) Lower Quartile (25th) Median Upper Quartile (75th) Upper Eighth (87.5th) Chi-Square Statistic/DF p-value
Mortality (%)
 Inpatient 0.7 1.0 1.3 2.0 2.3 0.8914 .6712
 30-day 1.3 1.7 2.3 3.0 3.3 1.2808 .1049
Complications (%)
 Inpatient 35.3 37.7 41.0 44.3 47.7 4.2587 <.0001
 30-day 45.7 50.3 56.0 59.7 61.7 5.8927 <.0001
Failure-to-rescue (%)
 Inpatient 1.6 2.3 3.8 5.0 5.7 1.0430 .3948
 30-day 2.2 2.9 4.0 5.7 6.6 1.7040 .0030
Readmissions
 30-day % 6.7 7.7 8.7 10.0 10.7 1.6971 .0032
Length of stay* 4.3 4.4 4.6 5.0 5.2 4.5715 <.0001
Patients in ICU (%) 9.0 9.7 14.3 19.0 23.0 10.6930 <.0001
Days in ICU, if sent to ICU 4.7 5.0 6.2 6.7 7.1 2.0811 <.0001
Total cost ($1,000s; Hodges–Lehmann estimates)
 In-hospital $ 10.7 11.1 11.7 12.1 12.4 5.5274 <.0001
 30-day $ 11.5 11.9 12.5 13.0 13.5 4.7859 <.0001
Total payment ($1,000s; Hodges–Lehmann estimates)
 In-hospital $ 13.0 13.4 14.2 16.2 20.0 55.6498 <.0001
 30-day $ 13.8 13.9 14.7 17.1 20.8 49.6518 <.0001
Procedure time (minutes) 117.8 126 135.8 152.3 173.3 39.7043 <.0001
 

Note. *Length of Stay means were calculated using trimmed means, excluding 2.5% of patients from each extreme.