| Literature DB >> 35484705 |
Franklin Dexter1, Richard H Epstein2, Christian Diez2, Brenda G Fahy3.
Abstract
STUDYEntities:
Keywords: anaesthesia; anaesthesiology; managerial epidemiology; operating room management; surgery; time series analysis
Mesh:
Year: 2022 PMID: 35484705 PMCID: PMC9540063 DOI: 10.1002/hpm.3482
Source DB: PubMed Journal: Int J Health Plann Manage ISSN: 0749-6753
Characteristics of the studied N = 15,164,158 cases at 19,216 facilities × years
| Principal payer | Ambulatory | Inpatient | Combined |
|---|---|---|---|
| Medicare: includes medicare managed care plans | 43.3% (5,485,636/12,667,510) | 48.2% (1,202,384/2,496,648) | 44.1% (6,688,020/15,164,158) |
| 43.8% (40.9%–46.6%) among the 15,605 Facility × years with at least 100 cases | 48.3% (44.7%–51.9%) among the 5305 Facility × years with at least 100 cases | 44.5% (41.8%–47.1%) among the 15,632 Facility × years with at least 100 cases | |
| Intraoperative work relative value units 41.7% (39.2%–44.2%) | |||
| Commercial: includes private managed care plans | 40.3% (5,101,494/12,667,510) | 35.1% (875,597/2,496,648) | 39.4% (5,977,091/15,164,158) |
| 40.3% (38.5%–42.2%) | 35.1% (32.6%–37.5%) | 39.5% (37.7%–41.2%) | |
| Intraoperative work relative value units 42.3% (40.4%–44.1%) | |||
| Any payer: | Cases 100% (all) | Cases 100% (all) | Cases 100% (all) |
| Includes medicare, commercial, patient self‐pay, workers' compensation | Mean 6.61 intraoperative work relative value units per case (standard deviation 3.98) |
There are 712 facilities with at least 1 elective surgical case.
The 99% confidence intervals were calculated using the analyses of ratios of the totals among the 10 years, limited to the Facility × Years with at least 100 cases, with robust variance estimation calculated with clustering by facility. These intervals match how the confidence intervals in the Results were calculated. These intervals are included in this table to assure that even when the narrowest from including all data they include the true values. Accurate coverage was expected because the cases of each Facility × Year (N = 15,632) and denominators of each facility (N = 629 clusters) are positively correlated (Spearman 0.57, Pearson 0.67) and the denominator has many degrees of freedom.
FIGURE 1Box plots showing variability among facilities in ratios of total cases (ambulatory and inpatient) between Decembers and Novembers, during the period between 2010 through 2019. This figure supplements our primary analyses that are stratified by facility. That approach depends on being able to measure the ratios accurately then by facility. We therefore limit consideration to facilities with at least 100 cases in each studied month. Specifically, among the overall N = 15,164,158 cases, there were 1,242,797 and 1,241,500 cases during months of December or November, respectively. Among the 269 facilities each with at least 100 cases for all December and November for all 10 years, the cases (included in the current figure) were 985,180 and 981,586, respectively. For each of the 269 facilities, the total count of cases over the 10 December and 10 November was summed, and then divided by 20 months. The five quintiles of those months are shown along the horizontal axis of the figure. There was considerable variability among facilities in the ratios. However, the homogeneity of the box plot among the quintiles shows that the heterogeneity of ratios among facilities is not due to heterogeneity in sample size (e.g., our threshold's use of at least 100 cases per month). Levene's robust test statistics show that we can reasonably assume equality of variances (p = 0.16 based on mean, p = 0.17 based on median, and p = 0.16 based on 10% trimmed mean) (rsdtest)
Analyses of cases in the same sequence as in the Results section
| Insurance | Month compared pairwise to December | Clustering (# clusters) | N | Ratio December to compared month (99% confidence interval) [ratios >1 and ratios <1] |
|---|---|---|---|---|
| Medicare | November | Facility (238) | 1634 facility × years | 0.917 (0.904–0.930) |
| Procedure (73) | 627 procedure × years | 0.911 (0.893–0.929) | ||
| None (0) | 10 Years | 0.911 (0.841–0.982); | ||
| 2 ratios >1 and 8 ratios <1 | ||||
| January | Facility (234) | 1644 facility × years | 0.823 (0.807–0.839) | |
| Procedure (71) | 629 procedure × years | 0.817 (0.766–0.867) | ||
| None | 10 years | 0.817 (0.759–0.876); | ||
| 0 ratios >1 and 10 ratios <1 | ||||
| Commercial | November | Facility (243) | 1575 facility × years | 1.108 (1.092–1.125) |
| Procedure (75) | 691 procedure × years | 1.113 (1.062–1.164) | ||
| None | 10 Years | 1.112 (1.040–1.184); | ||
| 10 ratios >1 and 0 ratios <1 | ||||
| January | Facility (195) | 1299 facility × years | 1.257 (1.229–1.286) | |
| Procedure (72) | 657 procedure × years | 1.294 (1.211–1.377) | ||
| None | 10 Years | 1.129 (1.200–1.385); | ||
| 10 ratios >1 and 0 ratios <1 | ||||
| Any | November | Facility (461) | 3623 facility × years | 1.003 (0.992–1.014) |
| Procedure (106) | 963 procedure × years | 1.001 (0.956–1.047) | ||
| None | 10 Years | 1.001 (0.932–1.070); | ||
| 5 ratios <1 and 5 ratios >1 | ||||
| January | Facility (437) | 3531 facility × years | 0.998 (0.984–1.013) | |
| Procedure (106) | 952 procedure × years | 0.999 (0.952–1.046) | ||
| None | 10 Years | 0.999 (0.929–1.068); | ||
| 4 ratios >1 and 6 ratios <1 |
The principal procedure was converted to the Agency for Healthcare Research and Quality's Clinical Classifications Software category of procedure. , ,
Compare pairwise the N = 903 years × facility combinations each with at least 100 cases for both December and November. There was positive correlation between cases with Medicare and cases with commercial payers (Spearman 0.36, p < 0.0001).
Compare pairwise the N = 10 years of December versus November ratios for cases among patients with Medicare to the N = 10 years of December versus November ratios for cases among patients with commercial insurance. There was positive correlation (Spearman 0.94, p = 0.0001). Among the N = 15,164,158 cases (inpatient or ambulatory), there were 1,145,480 and 1,143,109 cases during months of December or November, respectively.
The counts of the N = 10 ratios >1 and < 1 correspond to the sign test, or Wilcoxon signed‐ranks test. If there were 5 ratios >1 and 5 ratios <1, then the overall ratio would be approximately equal to 1. When 10 ratios >1 and 0 ratios <1, the overall ratio would reliably be > 1 (p < 0.0001 by sign test or Wilcoxon signed‐ranks test).
Compare pairwise the N = 806 years × facility combinations each with at least 100 cases for both December and January. There was positive correlation (Spearman 0.27, p < 0.0001).
Compare pairwise the N = 10 years of December versus January ratios for cases among patients with Medicare to the N = 10 years of December versus January ratios for cases among patients with commercial insurance. There was absence of negative correlation (Spearman 0.68, p = 0.029; Pearson 0.74, p = 0.0145). There were 1,145,480 and 1,121,741 cases during months of December or January, respectively.
The confidence intervals (0.992–1.014) were considerably narrower with clustering by facility than without clustering; see two rows later in the table, 0.932–1.070. The intervals were narrower in part because the functional sample size was so much larger. To assess, we repeated with the 3623 facility × year observations but without clustering. The point estimate was the same (1.003), but with narrower confidence interval 0.997–1.010, as expected. The estimated standard error was 39.7% smaller. To also assure that analyses were performing as expected, we used mixed effects modeling with facility as a random effect. The mean of the ratios (point estimate 1.016 [1.006–1.028]) gave significantly different estimates (p = 0.0009) than the ratio of the means. That mean of the ratios is biased, given that its 99% confidence interval does not include 1.002, the ratio of the total over all 10 years of the cases performed anywhere statewide in December (1,145,580) divided by the corresponding total of the cases performed in November (1,143,109).
As context to the 1.003 ratio for December versus November, among the 3623 Facility × Years, there were 26% (947) with December cases at least 10% greater than November versus 21% (757) the opposite. As context to the 0.998 ratio for December versus January, there were 31% (1091) with December cases at least 10% greater than January versus 27% (970) the opposite. These calculations neglect the variability of magnitudes among facilities and unequal numbers of years among facilities.
Analyses of intraoperative work relative value units in the same sequence as in the Results section
| Insurance | Month compared pairwise to December | Clustering (# clusters) | N | Ratio December to compared month (99% confidence interval) [ratios >1 and ratios <1] |
|---|---|---|---|---|
| Medicare | November | Facility (238) | 1634 facility × years | 0.921 (0.906–0.936) |
| Procedure (73) | 627 procedure × years | 0.915 (0.894–0.936) | ||
| None (0) | 10 Years | 0.915 (0.842–0.988); | ||
| 2 ratios >1 and 8 ratios <1 | ||||
| January | Facility (234) | 1644 facility × years | 0.832 (0.814–0.850) | |
| Procedure (71) | 629 procedure × years | 0.820 (0.781–0.859) | ||
| None | 10 years | 0.821 (0.761–0.881); | ||
| 0 ratios >1 and 10 ratios <1 | ||||
| Commercial | November | Facility (243) | 1575 facility × years | 1.122 (1.105–1.138) |
| Procedure (75) | 691 procedure × years | 1.124 (1.075–1.172) | ||
| None | 10 Years | 1.124 (1.052–1.195); | ||
| 10 ratios >1 and 0 ratios <1 | ||||
| January | Facility (195) | 1299 facility × years | 1.297 (1.264–1.329) | |
| Procedure (72) | 657 procedure × years | 1.326 (1.232–1.420) | ||
| None | 10 Years | 1.326 (1.237–1.416); | ||
| 10 ratios >1 and 0 ratios <1 | ||||
| Any | November | Facility (461) | 3623 facility × years | 1.016 (1.005–1.028) |
| Procedure (106) | 963 procedure × years | 1.013 (0.965–1.061) | ||
| None | 10 Years | 1.014 (0.943–1.084); | ||
| 7 ratios <1 and 3 ratios >1 | ||||
| January | Facility (437) | 3531 facility × years | 1.029 (1.012–1.046) | |
| Procedure (106) | 952 procedure × years | 1.028 (0.966–1.089) | ||
| None | 10 Years | 1.028 (0.959–1.098); | ||
| 7 ratios >1 and 3 ratios <1 |
The principal procedure was converted to the Agency for Healthcare Research and Quality's Clinical Classifications Software category of procedure. , ,
Compare pairwise the N = 903 years × facility combinations each with at least 100 cases for both December and November. There was positive correlation between intraoperative work relative value units among cases with Medicare and commercial payers (Spearman 0.30, p < 0.0001).
Compare pairwise the N = 10 years of December versus November ratios for work relative value units among patients with Medicare to the N = 10 years of December versus November ratios for work relative value units among patients with commercial insurance. There was positive correlation (Spearman 0.96, p = 0.0001). Among the N = 15,164,158 cases (inpatient or ambulatory), there were 1,145,480 and 1,143,109 cases during months of December or November, respectively.
The counts of the N = 10 ratios >1 and < 1 correspond to the sign test, or Wilcoxon signed‐ranks test. If there were 5 ratios >1 and 5 ratios <1, then the overall ratio would be approximately equal to 1. When 10 ratios >1 and 0 ratios <1, the overall ratio would reliably be > 1 (p < 0.0001 by sign test or Wilcoxon signed‐ranks test).
Compare pairwise the N = 806 years × facility combinations each with at least 100 cases for both December and January. There was positive correlation (Spearman 0.31, p < 0.0001).
Compare pairwise the N = 10 years of December versus January ratios for work relative value units among patients with Medicare to the N = 10 years of December versus January ratios for work relative value units among patients with commercial insurance. There was absence of negative correlation (Spearman 0.71, p = 0.022; Pearson 0.68, p = 0.029). There were 1,145,480 and 1,121,741 cases during months of December or January, respectively.
As context to the 1.016 ratio for December versus November, among the 3623 Facility × Years, there were 32% (1146) with December work relative value units at least 10% greater than November versus 22% (809) the opposite. As context to the 1.029 ratio for December versus January, there were 38% (1338) with December work relative value units at least 10% greater than January versus 26% (909) the opposite.
FIGURE 2Increases in caseload over the 10 studied years. There was a monotonic increase in the numbers of cases studied among patients with Medicare insurance (Spearman correlation 1.00, p < 0.0001). There was a progressive but not monotonic increase in the cases among patients with commercial insurance (Spearman correlation 0.79, p = 0.0061). The Spearman correlation coefficient among all types of surgery, irrespective of primary payer, was 0.98
FIGURE 3Ratios of the total cases, ambulatory or inpatient, in December divided by those in November, calculated once among patients with Medicare insurance and once among patients with commercial insurance. Confidence intervals are not included because the figure shows the raw estimates, without adjustment for facilities or procedures, unlike in Table 2. The circles are drawn large obscuring the perspective, but from Table 2 there are 8 ratios <1 among patients with Medicare insurance and 10 ratios >1 among patients with commercial insurance. The positive correlation coefficients between the Medicare and commercial insurance N = 10 observations were 0.93 for Spearman and 0.94 for Pearson (see Section 3.3 for inferential analyses). The corresponding correlation coefficients for intraoperative work relative value units were 0.96 for Spearman and 0.94 for Pearson. To make comparison with the point estimates in Table 2, among patients with commercial insurance as payer, the ratio of the total over all 10 years of the cases in December (567,089) divided by the corresponding total of the cases performed in November (509,935) equals 1.112. The point estimates are 1.108 to 1.013, with all 99% confidence intervals including 1.112. Among patients with Medicare as payer, total cases in December (488,776) divided by November (536,336) equals 0.911. The point estimates in Table 2 are 0.911–0.917, again with the 99% confidence intervals all including 0.911
FIGURE 4Ratio of total (ambulatory and inpatient) cases and (ambulatory) intraoperative work relative value units (wRVU) for each December relative to the corresponding November. Confidence intervals are not provided because the figure shows the raw estimates, without adjustment for facilities or procedures, unlike in Tables 2 and 3. There are overall 1,242,797 cases during the Decembers and 1,241,500 cases during the Novembers, the ratio being 1.001. From Table 2, pooling among years, the 99% confidence interval for the ratio of 1.001 equals 0.932–1.070, p = 0.96 versus 1.00. The circles are drawn large obscuring the perspective, but there are 5 blue circles greater than 1.00 and 5 less than 1.00. This analysis by case includes not only ambulatory surgery but also inpatient surgery. From Table 3, the ratio for intraoperative work relative value units equals 1.014 (0.943–1.084), p = 0.54. There are 7 red dots greater than 1.00 and 3 less than 1.00. Larger ratios for intraoperative work relative value units would be expected because the procedures of commercial insurance with more cases in December are fully ambulatory surgery (see last paragraph of Results); the intraoperative work relative value units are limited to ambulatory surgery. The circles overlap on the graph, but 10 of the 10 ratios were larger pairwise by year for intraoperative work relative value units than for cases, although seemingly of such minor differences as to be irrelevant managerially as compared to the differences between Medicare and commercial (Figure 2)
FIGURE 5Total cases, inpatient and outpatient, among months showing that December was not reliably busier or less busy than other months. There were 119 months × year combinations analysed, the dropped one being September 2017, because of Hurricane Irma that disrupted surgical services for a week during that month. Year and month were modelled linearly as 9 and 11 categories, respectively. The resulting monthly estimates for 2019 and their 99% confidence intervals are plotted for 2019. Robust variance estimators were used. The estimate for December was greater than the estimates for 3 other months (July, September, and November [slightly]) and less than the estimates for the other 8 months
FIGURE 6Relationship between workdays in months and caseload. The vertical axis gives the number of cases performed in December of a year divided by the number of cases performed in the comparative month of the same year, November of January. The vertical axis matches Table 2. There were N = 3,410,330 cases in those 3 months over the 10 studied years. The horizontal axis gives the number of workdays in December of a year minus the number of workdays either in the paired January or November of the year. Each of the studied years is represented by one blue dot and one red dot. December had mean (standard deviation) of 20.0 workdays (1.2), November 19.5 workdays (0.7), and January 21.1 workdays (0.9). Because some ratios overlapped, horizontal jitter was added. The figure shows positive correlation between workdays and caseloads (Spearman 0.84, p < 0.0001). In the Limitations we address why the relationship shown means that interpreting results per workday was not useful