Appendix Table 1: Mechanically ventilated admissions (n=104,844) between 2008 and 2010 by critical care unit quartile for annual volume Quartile 1 Quartile 2 Quartile 3 Quartile 4 (Lower volume) (Higher volume) Total number of admissions 13,201 19,014 29,161 43,468 Total number of units 49 48 48 48 Number of mechanically ventilated admissions per year Median (iqr) 141 (117, 168) 199 (186, 210) 267 (253, 287) 480 (362, 599) minimum, maximum 33, 175 175, 219 220, 316 317, 809 iqr, interquartile range Table 2:Baseline characteristics and outcomes for mechanically ventilated admissions in outlier units versus whole cohort, highest volume quartile and highest volume quartile with outliers removed Characteristic Whole cohort Quartile 4 Quartile 4 Outlier 1 Outlier 2 (without outliers) Total number of admissions 104,844 43,468 41,090 471 1,907 Total number of units 193 48 46 1 1 Number of mechanically ventilated admissions per year Median (iqr) 220 (175, 320) 480 (362, 599) 434 (353, 528) 775 809 minimum, maximum 33, 809 317, 809 317, 718 Demographics Age, mean (sd) 60.3 (17.9) 58.7 (18.0) 59.1 (17.9) 61.0 (18.7) 50.5 (19.5) Male sex (%) 60,422 (57.6) 25,837 (59.4) 24,196 (58.9) 286 (60.7) 1,355 (71.1) White ethnicity (%) 94,056 (90.0) 37,727 (87.2) 36,095 (88.3) 376 (79.8) 1,256 (65.9) Acute severity of illness, median (iqr) APACHE II score 17 (13,22) 17 (12,22) 17 (12,22) 15 (11, 19) 15 (11, 21) ICNARC Physiology Score 21 (15,29) 20 (15,28) 21 (15,28) 17 (12, 23) 19 (14, 27) Medical historyΩ Severe comorbidities (%) Any prior illness 15,970 (15.2) 7,254 (16.7) 6,973 (17.0) 75 (15.9) 206 (10.8) Severe cardiovascular disease 1,692 (1.6) 591 (1.4) 586 (1.4) 1 (0.2) 4 (0.2) Severe respiratory disease 3,456 (3.3) 1,303 (3.0) 1,255 (3.1) 11 (2.3) 37 (1.9) Renal disease 1,445 (1.4) 852 (2.0) 770 (1.9) 13 (2.8) 69 (3.6) Chronic liver disease 3,627 (3.5) 1,983 (4.6) 1,926 (4.7) 18 (3.8) 39 (2.0) Hematologic malignancy 1,649 (1.6) 697 (1.6) 684 (1.7) 3 (0.6) 10 (0.5) Metastatic disease 1,897 (1.8) 803 (1.9) 772 (1.9) 9 (1.9) 22 (1.2) Immunological dysfunction 5,049 (4.8) 2,247 (5.2) 2,174 (5.3) 24 (5.1) 49 (2.6) Activities of daily living (%) No assistance 79,817 (77.2) 33,267 (77.9) 31,326 (77.6) 394 (85.1) 1,547 (82.7) Partial assistance 22,678 (21.9) 9,048 (22.0) 8,673 (21.5) 65 (14.0) 310 (16.6) Total assistance 961 (0.9) 383 (0.9) 366 (0.9) 4 (0.9) 13 (0.7) CPR (%) 12,584 (12.0) 4,458 (10.3) 4,217 (10.3) 63 (13.4) 178 (9.3) Admission typeβ (%) non surgical 66,988 (63.9) 25,648 (59.0) 24,101 (58.7) 361 (76.6) 1180 (61.9) Surgical 37,856 (36.1) 17,820 (41.0) 16,983 (41.3) 110 (23.4) 727 (38.1) Location prior to admission (%) Emergency/urgent surgery 25,942 (24.8) 11,751 (27.0) 11,136 (27.1) 74 (15.7) 541 (28.4) Elective/scheduled surgery 11,914 (11.4) 6,069 (14.0) 5,847 (14.2) 36 (7.6) 186 (9.8) Hospital ward 30,646 (29.2) 11,029 (25.4) 10,627 (25.9) 125 (26.5) 277 (14.5) High dependency unit 4,329 (4.1) 2,211 (5.1) 2,024 (4.9) 61 (13.0) 126 (6.6) 1 Emergency department Hospital type (%) University or university affiliated (%) Length of stay, median (iqr) days Critical care unit Acute hospital Mortality (%) Critical care unit mortality Ultimate acute hospital mortality 31,992 (30.5) 12,402 (28.5) 11,450 (27.9) 175 (37.2) 777 (40.7) 52,060 (49.7) 34,152 (78.6) 31,774 (77.3) 471 (100) 1,907 (100) 3 (1,8) 13 (5,29) 3 (1,8) 14 (6,31) 3 (1,8) 14 (6,31) 5 (2, 11) 16 (5, 35) 3 (1, 7) 16 (6, 33) 29,074 (27.7) 38,056 (36.7) 10,659 (24.5) 14,196 (33.0) 10,119 (24.6) 13,478 (33.1) 120 (25.5) 155 (33.3) 420 (22.0) 563 (30.2) Figure 1: Relationship between annual volume of mechanically ventilated admissions and ultimate acute hospital mortality in non-surgical admissions compared with surgical admissions Volume modelled using fractional polynomials (degree 2) relative to mean volume of 332 admissions per year. Model adjusted for age (fractional polynomials degree 2), sex, ICNARC Physiology Score (fractional polynomials degree 2), comorbidities, activities of daily living, CPR prior to admission, location prior to admission, and hospital type. The p- value is testing for a global interaction between annual volume of mechanically ventilated admissions and admission type. The dashed lines represent 95% confidence intervals. Non-surgical 1.8 1.5 1.2 1.0 0.8 P<0.001 Surgical 1.8 1.5 1.2 1.0 0.8 0 200 400 600 800 Volume of mechanically ventilated admissions Figure 2: Relationship between annual volume of mechanically ventilated admissions and ultimate acute hospital mortality by lowest PaO2/FiO2 ratio during the first 24 hours of critical care admission 2 Volume modelled using fractional polynomials (degree 2) relative to mean volume of 332 admissions per year. Model adjusted for age (fractional polynomials degree 2), sex, ICNARC Physiology Score (fractional polynomials degree 2), comorbidities, activities of daily living, CPR prior to admission, location prior to admission, and hospital type. The p- value is testing for a global interaction between annual volume of mechanically ventilated admissions and PaO2/FiO2 ratio. The dashed lines represent 95% confidence intervals. PaO2/FiO2 = 50 PaO2/FiO2 = 100 1.5 1.2 1.0 0.8 0.6 PaO2/FiO2 = 200 P=0.12 PaO2/FiO2 = 300 1.5 1.2 1.0 0.8 0.6 0 200 400 600 800 0 200 400 600 800 Volume of mechanically ventilated admissions Figure 3: Relationship between annual volume of mechanically ventilated admissions and ultimate acute hospital mortality, after excluding outlier critical care units, in non-surgical admissions compared with surgical admissions Volume modelled using fractional polynomials (degree 2) relative to mean volume of 321 admissions per year. Model adjusted for age (fractional polynomials degree 2), sex, ICNARC Physiology Score (fractional polynomials degree 2), comorbidities, activities of daily living, CPR prior to admission, location prior to admission, and hospital type. 3 Non-surgical 1.8 1.5 P=0.02 1.2 1.0 0.8 Surgical 1.8 1.5 1.2 1.0 0.8 0 200 400 600 Volume of mechanically ventilated admissions 4 800 Figure 4: Relationship between annual volume of mechanically ventilated admissions and ultimate acute hospital mortality, after excluding outlier critical care units, in admissions by lowest PaO2/FiO2 ratio Volume modelled using fractional polynomials (degree 2) relative to mean volume of 321 admissions per year. Model adjusted for age (fractional polynomials degree 2), sex, ICNARC Physiology Score (fractional polynomials degree 2), comorbidities, activities of daily living, CPR prior to admission, location prior to admission, and hospital type. PaO2/FiO2 = 50 1.5 PaO2/FiO2 = 100 P=0.27 1.2 1.0 0.8 0.6 PaO2/FiO2 = 200 PaO2/FiO2 = 300 1.5 1.2 1.0 0.8 0.6 0 200 400 600 800 0 200 400 Volume of mechanically ventilated admissions 5 600 800 Figure 5: Relationship between annual volume of mechanically ventilated admissions and ultimate acute hospital mortality using restricted cubic splines Model adjusted for age (fractional polynomials degree 2), sex, ICNARC Physiology Score (fractional polynomials degree 2), comorbidities, activities of daily living, CPR prior to admission, location prior to admission, and hospital type. 1.2 Odds ratio (95% CI) 1.1 1.0 0.9 0.8 0 200 400 600 Volume of mechanically ventilated admissions Fractional polynomial 800 Restricted cubic splines 6 Figure 6: Relationship between annual volume of mechanically ventilated admissions and ultimate acute hospital mortality after excluding outlier critical care units and using restricted cubic splines Model adjusted for age (fractional polynomials degree 2), sex, ICNARC Physiology Score (fractional polynomials degree 2), comorbidities, activities of daily living, CPR prior to admission, location prior to admission, and hospital type. 1.2 1.1 1.0 0.9 0.8 0 600 400 200 Volume of mechanically ventilated admissions Restricted cubic splines Fractional polynomial 7 800 Figure 7: Frequency distribution of critical care unit’s annual volume of mechanically ventilated admissions 25 20 15 10 5 0 0 200 400 600 Volume of mechanically ventilated admissions 8 800