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. 2021 Apr 30;21:90. doi: 10.1186/s12874-021-01277-y

Table 3.

Characteristics of the subsamples. Characteristics of the subsamples produced by the subsampling procedures and by simple random sampling applied on the 2000 times resampled bootstrap convenience sample. The Expected Value, Effect Size, Standardized Effect Size and the Bootstrap Intervals [90% BI] are computed as described in the Methods. For the three sampling procedures, the percentage of bootstrap resamples in which the characteristic had a higher value than in the random subsample is shown; values above 50% indicate an overall increase while values below 50% indicate a decrease

Sample Characteristic Expected Value 22[90% BI] Effect Size [90% BI] Standardized Effect Size % of subsamples with higher values than random sampling
Regional variation coeff. (SD*100/Mean)
 Reference data 92%
 Random 125% [98.5, 152%]
 Distance (G) 73.2% [55.1, 93.4%] −53.7% [−83, −22.5%] −2.88 0.23%
 Distance (S) 127% [101, 154%] + 1.94% [−31, 35.3%] 0.069 53.2%
 Probability 99.1% [75.2, 127%] −25% [−58.8, 7.12%] −1.26 10.7%
 Uniform 67.2% [56.1, 81.4%] −58.4% [−86.1, − 31.1%] −3.52 0%
Small hospitals (<  200 beds, %)
 Reference data 71.1%
 Random 43.6% [32.7, 54.5%]
 Distance (G) 43.6% [34.5, 54.5%] + 0% [− 12.7, 10.9%] 0.026 46.5%
 Distance (S) 76.4% [72.7, 80%] + 32.7% [21.8, 43.6%] 4.97 100%
 Probability 30.9% [21.8, 43.6%] −12.7% [−23.6, 0%] −1.78 3.29%
 Uniform 34.5% [29.1, 41.8%] −9.09% [−18.2, 1.82%] − 1.32 7.19%
Medium hospitals (≥ 200, <  500 beds, %)
 Reference data 19.5%
 Random 38.2% [27.3, 49.1%]
 Distance (G) 36.4% [27.3, 47.3%] −1.82% [−12.7, 10.9%] −0.21 36.6%
 Distance (S) 12.7% [9.09, 18.2%] −25.5% [−36.4, − 14.5%] −3.78 0%
 Probability 41.8% [30.9, 52.7%] + 3.64% [−9.09, 14.5%] 0.47 62.3%
 Uniform 38.2% [30.9, 45.5%] + 0% [−10.9, 10.9%] − 0.046 41.8%
Large hospitals (≥ 500 beds, %)
 Reference data 9.35%
 Random 18.2% [9.09, 27.3%]
 Distance (G) 18.2% [12.7, 27.3%] + 1.82% [−7.27, 10.9%] 0.24 54%
 Distance (S) 10.9% [10.9, 10.9%] −7.27% [−16.4, 1.82%] − 1.36 5.35%
 Probability 27.3% [18.2, 38.2%] + 9.09% [0, 18.2%] 1.61 93.2%
 Uniform 27.3% [20, 32.7%] + 9.09% [0, 16.4%] 1.74 94%
Quality Score
 Random 100 [79, 130]
 Distance (G) 98 [71, 130] −6.5 [−37, 24] −0.34 36.5%
 Distance (S) 92 [68, 120] −12 [−42, 18] − 0.68 24.3%
 Probability 68 [55, 84] −35 [− 63, −10] −2.21 0.9%
 Uniform 99 [80, 120] −5.1 [−34, 22] −0.32 38.1%
Prevalence (crude, %)
 Random 7.44% [6.37, 8.58%]
 Distance (G) 7.23% [6.07, 8.43%] −0.21% [−1.43, 1.02%] − 0.3 37.3%
 Distance (S) 6.98% [5.75, 8.28%] −0.47% [−1.91, 1.01%] −0.51 29.7%
 Probability 7.87% [6.84, 8.88%] + 0.45% [−0.63, 1.53%] 0.69 62.7%
 Uniform 7.69% [6.79, 8.45%] + 0.18% [−0.78, 1.29%] 0.34 75.3%
Prevalence (hospital’s average, %)
 Random 6.35% [5.44, 7.33%]
 Distance (G) 6.04% [5.07, 7.06%] −0.31% [−1.34, 0.77%] − 0.47 32.1%
 Distance (S) 5.86% [4.96, 6.8%] −0.47% [−1.49, 0.61%] −0.72 23.8%
 Probability 7.11% [6.26, 8.01%] + 0.8% [−0.33, 1.81%] 1.23 88.5%
 Uniform 6.43% [5.61, 7.41%] + 0.1% [−0.9, 1.09%] 0.16 56.5%