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Table 1 Results of the Monte Carlo simulation ( N = 10,000)

From: Assessing regression to the mean effects in health care initiatives

  Mean Std. error [95% Confidence Interval]
ρ = 0.25     
RTM (H) actual 1417.67 0.33 1417.03 1418.32
RTM (H) calculated 1417.55 0.20 1417.16 1417.94
RTM (L) actual 354.16 0.18 353.80 354.51
RTM (L) calculated 354.27 0.06 354.15 354.39
ρ = 0.50     
RTM (H) actual 945.21 0.28 944.66 945.76
RTM (H) calculated 945.10 0.14 944.82 945.38
RTM (L) actual 236.09 0.15 235.80 236.38
RTM (L) calculated 236.20 0.04 236.12 236.28
ρ = 0.75     
RTM (H) actual 472.71 0.21 472.30 473.11
RTM (H) calculated 472.59 0.08 472.44 472.74
RTM (L) actual 118.03 0.11 117.83 118.24
RTM (L) calculated 118.11 0.02 118.07 118.15
  1. Notes: RTM (H) is the regression to the mean effect for the high-risk group, and RTM (L) is the regression to the mean effect for the low-risk group. “Actual” represents the RTM effect derived directly from the data, and “calculated” is derived using Equation 1. ρ is the pretest-posttest correlation for the entire sample.
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