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Table 3 Properties of I based on the normal distribution results from the central limit theorem applied to the half-normal distribution for 1 to 10 site-level variables

From: Using the half normal distribution to quantify covariate balance in cluster-randomized pragmatic trials

# of site-level variables Mean SD 10th percentile 25th percentile
1a 0.798 0.602 0.026 0.392
2 0.798 0.426 0.252 0.511
3 0.798 0.348 0.352 0.563
4 0.798 0.301 0.412 0.595
5 0.798 0.269 0.453 0.616
6 0.798 0.246 0.483 0.632
7 0.798 0.228 0.506 0.644
8 0.798 0.213 0.525 0.654
9 0.798 0.201 0.541 0.663
10 0.798 0.191 0.554 0.669
  1. SD standard deviation
  2. aDistribution is clearly not normal with only 1 site variable, so theoretical percentile values may be misleading in this case