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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.