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Table 2 Normal simulation table

From: Comparison of confidence interval methods for an intra-class correlation coefficient (ICC)

 

b0= 48, l0= 3, r0= 1

b0= 96, l0= 6, r0= 1

ICCw

Method

Coverage

Average width (SEM)

Coverage

Average width (SEM)

0.99

GPQ

0.949

0.755 (0.0014)

0.947

0.523 (0.0009)

0.99

MLS

0.950

0.758 (0.0014)

0.948

0.525 (0.0009)

0.99

Bayes

0.858

0.825 (0.0012)

0.930

0.570 (0.0009)

0.90

GPQ

0.943

0.685 (0.0014)

0.948

0.448 (0.0010)

0.90

MLS

0.946

0.690 (0.0014)

0.949

0.450 (0.0010)

0.90

Bayes

0.858

0.788 (0.0010)

0.943

0.497 (0.0010)

0.80

GPQ

0.955

0.595 (0.0014)

0.943

0.331 (0.0009)

0.80

MLS

0.957

0.602 (0.0014)

0.946

0.334 (0.0009)

0.80

Bayes

0.848

0.749 (0.0008)

0.956

0.378 (0.0010)

0.71

GPQ

0.959

0.373 (0.0011)

0.954

0.156 (0.0002)

0.71

MLS

0.968

0.377 (0.0012)

0.957

0.156 (0.0002)

0.71

Bayes

0.933

0.678 (0.0009)

0.964

0.169 (0.0003)

  1. ICCb = 0.70 setting. Highlighted are coverages below 90%. The means of the ICCb point estimates when b0 = 48, l0 = 3 were 0.74, 0.72, 0.70 and 0.69, with standard deviations 0.17, 0.14, 0.09 and 0.06 as the values of the ICCw decreased from 0.99 to 0.71. When b0 = 96, l0 = 6 the means of the ICCb estimates were 0.72, 0.71, 0.70 and 0.70 with standard deviations 0.12, 0.10, 0.06, and 0.04 as the ICCw decreased from 0.99 to 0.71.