RACE, INCOME, AND OPERATIVE TIME
Jeffrey H. Silber, M.D., Ph.D. Paul R. Rosenbaum, Ph.D. Xuemei Zhang, M.S. Orit Even-Shoshan, M.S. The Center for Outcomes Research, The Children’s Hospital of Philadelphia The Department of Pediatrics, Anesthesiology and Critical Care Medicine, PENN The Department of Statistics, The Wharton School, PENN The Leonard Davis Institute of Health Economics
Introduction
• Operative time is a common measure of surgical quality
– Longer procedures are associated with higher infection rates – Longer procedures are associated with physicians-in-training
Measuring Operative Time
• Until now, studies analyzing operative time in the Medicare population have been limited to single (or very few) institutions. • Operative time is usually defined as:
– Surgical Time: Incision to closure – Anesthesia Time: Induction to Recovery Room
Measuring Operative Time in Medicare Patients
• In 1994, billing for Anesthetist and anesthesiologist services changed to a ―by the minute‖ system • Anesthetist bills (anesthesiologists, nurse anesthetists) from Medicare have never been utilized to examine procedure time on a large scale • Race and Income have not been studied with respect to procedure time
Goals of this Talk
• To examine the accuracy of using Anesthesia Time Units from Medicare bills to estimate operative time • To examine models that predict procedure length based on:
– Patient comorbidities – Race – Income
• To explore the relationship between race and operative time at individual hospitals • To discuss the implications of disparities in operative time
Data
• Medicare Claims on the 20 most common General Surgical procedures and the 20 most common Orthopedic procedures in Pennsylvania in 1995 and 1996, N = 77,638 • Chart Abstractions on a subset of 1931 Pennsylvania General Surgical and Orthopedic patients as part of the Surgical Outcomes Study
The Anesthesia Claim
• The Anesthesia Claim consists of two parts:
– Base Units – Time Units
• Time units are in 15 minute intervals. The first digit of the time unit is a decimal tenths digit
– For example: ―25‖ for units = 15 x 25/10 minutes or 37.5 minutes
• We chose the single longest anesthesia bill associated with the same day as the principle procedure
Time Abstraction
• We defined four specific times for abstraction on 1931 charts in the SOS study:
– Start induction – Start incision – Closure – To recovery room or ICU (if going directly to ICU)
Bill Time - Chart Time. N = 1931 patients from the Surgical Outcomes Study
Shapiro-Wilk Test P < 0.0001
Chart Time as a Function of Claim Time, N = 1931
Median Absolute Residual (minute) 5.49
5.37 P (Wald)
Variables I: Unadjusted m-Estimation
II: Comorbidities, Procedures and Hospitals
Int. -1.21
2.47
Slope 0.97
0.98
P .0001
.0001
R2 .89
.89
N/A
<.0001
The independent variable is anesthesia claim minutes, and the dependent variable is anesthesia chart minutes. N = 1931, r = 0.94.
Estimated Anesthesia Time (Minutes) for Each General Surgical Principle Procedure
Procedure
Abd-Perineal Rect Resect Anterior Rectal Resection
N
422 685
25th %ile
210 165
Median
260 251
75TH %ile
320 255
Left Hemicolectomy
Part Lg Bowel Excis Nec Sigmoidectomy
1307
507 2922
155
150 140
195
191 176
242
251 221
Lg Bowel Stoma Closure Part Sm Bowel Resection
Right Hemicolectomy Unilat Thyroid Lobectomy
326 1253
34350 370
116 120
120 120
164 155
155 135
221 209
195 176
Cholecystectomy-Open
Peritoneal Adhesiolysis
3883
1268
105
94
135
125
176
173
These times include principle procedures that were also accompanied with other secondary procedures billed on the same day.
Estimated Anesthesia Time (minutes) for Each General Surgical Principle Procedure (when only one procedure performed)
Procedure
Abd-Perineal Rect Resect Anterior Rectal Resection
N
84 222
25th %ile
206 146
Median
240 176
75TH %ile
285 218
Left Hemicolectomy
Part Lg Bowel Excis Nec Sigmoidectomy
262
77 678
143
131 125
180
158 155
221
206 195
Lg Bowel Stoma Closure Part Sm Bowel Resection
Right Hemicolectomy Unilat Thyroid Lobectomy
159 112
940 286
101 105
110 108
125 131
135 135
180 170
170 167
Cholecystectomy-Open
Peritoneal Adhesiolysis
978
316
90
80
116
101
146
125
These times only include principle procedures that did not have other secondary procedures billed on the same day.
Estimated Anesthesia Time (Minutes) for Each Orthopedic Principle Procedure
Procedure
Lumbar/Lum-sac Fus Post Other Cervical Fus Ant
N
273 152
25th %ile
236 182
Median
299 240
75TH %ile
380 343
Revise Hip Replacement
Spinal Canal Explor Revise Knee Replacement
971
3166 1110
180
138 143
234
180 180
311
240 230
Excision Intervert Disc Total Hip Replacement
Total Knee Replacement Open Red-Int Fix Hum
2565 6215
12718 690
131 140
131 107
165 165
150 142
221 197
180 191
Partial Hip Replacement
Shoulder Arthroplasty
4735
909
105
105
129
124
155
158
These times include principle procedures that were also accompanied with other secondary procedures billed on the same day.
Estimated Anesthesia Time (minutes) for Each Orthopedic Principle Procedure (when only one procedure performed)
Procedure
Lumbar/Lum-sac Fus Post Other Cervical Fus Ant
N
41 30
25th %ile
200 155
Median
240 195
75TH %ile
294 245
Revise Hip Replacement
Spinal Canal Explor Revise Knee Replacement
639
1478 792
180
131 140
225
170 179
300
218 227
Excision Intervert Disc Total Hip Replacement
Total Knee Replacement Open Red-Int Fix Hum
1529 4770
10551 459
122 140
131 101
155 165
150 131
196 195
180 170
Partial Hip Replacement
Shoulder Arthroplasty
4102
129
105
101
125
131
150
176
These times only include principle procedures that did not have other secondary procedures billed on the same day.
Estimating Anesthesia Time (Y = Mins. from bill)
Parameter Multiple procedures Admit from ER
Transfer In Hx Coagulopathy Hx Diabetes
Minutes 18.3 .10
6.6 5.0 2.5
P-value .0001 .90
.0003 .0001 .0001
Hx Paraplegia Black Race Vs White Severity Score 1
Severity Score 2 Severity Score 3 & 4 Severity Score 0
4.7 5.2 1.5
.40 2.2 Ref
.0004 .0001 .04
.59 .03 N/A
N=77,638 patients, controlling for 39 (=n-1) surgical procedures and 182 (=n-1) hospitals and 34 patient covariates of which 8 are displayed above. The model was fit using m-estimation, rank R2 of 40%.
Race, Income, and Procedure Time
WL (n = 9,324) BM (n = 513) WM (n = 25,060) BH (n = 547) WH (n = 27,473)
BL (n = 2002)
29 (<.0001)
15 (<.0001)
30 (<.0001)
15 (<.0001)
27 (<.0001)
WL (n = 9,324)
---
-14 <.0001)
1 (<.0001)
-14 (<.0001)
-2 (<.0001)
BM (n = 513)
---
14 (<.0001)
0 (.8939)
12 (<.0001)
WM (n = 25,060)
---
-15 (<.0001)
-3 (<.0001)
BH (n = 547)
---
12 (<.0001)
Race, Income, and Procedure Time
WL (n = 9,324) BM (n = 513) WM (n = 25,060) BH (n = 547) WH (n = 27,473)
BL (n = 2002) BL adjusted by 183 hosp. WL (n = 9,324) WL adjusted by 183 hosp.
BM (n = 513) BM adjusted by 183 hosp. WM (n = 25,060) WM adjusted by 183 hosp. BH (n = 547) BH adjusted by 183 hosp.
29 (<.0001) 9 (<.0001) ---
15 (<.0001) 3 (0.159) -14 <.0001) -4 (.036)
---
30 (<.0001) 7 (<.0001) 1 (<.0001) 0 (.578)
14 (<.0001) 4 (.036) ---
15 (<.0001) 8 (<.0001) -14 (<.0001) -5 (.486)
0 (.8939) 5 (.052) -15 (<.0001) 1 (.570) ---
27 (<.0001) 8 (<.0001) -2 (<.0001) 1 (.069)
12 (<.0001) 4 (.014) -3 (<.0001) 1 (.126) 12 (<.0001) 0 (.848)
Adjusted Differences Between Black and White Procedure Times in Pennsylvania Hospitals With the Largest Black Populations
Hospital 1 No. Black 153 No. White 352 Teaching Type Major Excess Mins. (b-w) 3.3 P-Value .449
2 3
4 5 6
147 130
125 118 112
322 326
108 1319 437
V Major V Major
V Major Major Major
7.0 0.8
12.2 14.3 12.1
.115 .870
.039 .001 .011
7 8
9 10 11
112 111
109 107 105
43 1006
71 505 178
Major Not Teaching
V Major Major V Major
-4.6 4.0
6.9 9.3 15.9
.562 .366
.308 .050 .004
12
100
1007
V Major
-5.1
.274
The overall Wald test for equality was 0.029, suggesting there is variability in disparity across hospitals. General Surgical and Orthopedic Procedures
Policy Implications
Why might there be a disparity in operative time inside a hospital?
• Reasons consistent with fairness
– Unobserved severity – Admission from ER – Emergency Surgery
• Reasons based on injustice
– Different Surgeon/Physician-in-Training for less empowered – Risk of Litigation – Racism (Conscious or Unconscious)
Why do we care about 15 minutes?
Identifying the Provider: Who is holding the retractor?
• In teaching hospitals it is not always clear from the chart or the claim who is performing surgery. • Is the resident doing the dissection or holding the retractor? • Differential times between the resident and the attending may help in identifying the two providers.
For a typical procedure like Colectomy, which was described in Khuri et al. (Annals Surgery 2001), we can estimate the relative speed of the resident and attending, assuming the hospital location does not influence this time.
VA Location Teaching NonTeach N Complexit y 3.00 2.95 % of Cases by Residents 93.64 1.42 Hours of Surgery 3.17 2.54 Mean Time Combined 3.085
8,038 1,201
From this table we can solve for the time a resident takes to perform the colectomy (TR) and the time an attending takes to perform the surgery (TA). We have two equations and two unknowns:
(0.9346)TR + (0.0636)TA = 3.17 (0.0142)TR + (0.9808)TA = 2.52
Solving, we get TA = 2.523 and TR = 3.213 hours. This is very close to those in table 8 above, as almost all the surgery in the teaching hospital was with residents and almost all the surgery in the non-teaching hospital was with attendings.
The Relative Risk of Getting a Resident in Black Versus White Patients
TB = TR * PB,R + TA * PB,A TW = TR * PW,R + TA * PW,A
Or, since PB,R + PB,A = 1and PW,R + PW,A = 1, we can write: TB = TR * PB,R + TA * (1 - PB,R ) and TW = TR * PW,R + TA * (1 - PW,R ).
Hence, TB-TW = PB,R * [TR - TA] - PW,R*[TR - TA] and:
[TB - TW ]/[TR-TA] = PB,R - PW,R Or:
[TB - TW ]/ [PW,R][TR-TA] = [PB,R / PW,R]-1 and finally: 1+ {[TB - TW ] / {[PW,R][TR-TA]}} = [PB,R / PW,R]
From Regression Data
TB TW P 1 W P PR TR TA
B R W R
From External Data or Matching Studies
Assuming:
Relative Risk of Obtaining a Resident if a Black Patient Versus a White Patient
7.0
Relative Risk for Blacks
TR-TA = 30 mins TB – TW = 15 mins
6.0 5.0 4.0 3.0 2.0 1.0 0.0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Percent of Cases Performed by a Resident if Patient is White
Advantages of using Procedure Time as a Measure of Disparity
• Bills available for literally all procedures performed in the OR for Medicare patients • Procedure length is highly dependent on the surgeon, not patient compliance • Procedure length is less dependent on the past history of the patient—insensitive to unobserved severity • Time is not game-able, especially since it has not been used to measure disparity in the past
Conclusions
• Procedure time can be well estimated with Medicare claims data • Procedure time is a function of race and income and the specific hospital, after adjustment for other patient factors • There is a significant procedure length racial disparity inside of hospitals • Mechanisms for this procedure length disparity need to be better understood
Acknowledgements
• This work was funded through a grant from the Leonard Davis Institute of Health Economics at PENN and supported in part from AHRQ Grant Number HS-09460
The End
Additional Slides for Potential Questions
TEACHING
N=480 Patients Sometimes
NON-TEACHING
N=480 Patients Sometimes
N=96 Surgeons
N=480 Patients ALWAYS
N=480 Patients ALWAYS
TEACHING
NON-TEACHING
Sometimes 109 minutes
P = 0.214
Sometimes 103 minutes
P = 0.657
P = 0.002 P = 0.393
P = 0.0001
ALWAYS 121 minutes ALWAYS 106 minutes
P = 0.002
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total arthroplasty11
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