. Author manuscript; available in PMC: 2014 Sep 9.

Published in final edited form as: Biometrics. 2011 Oct 9;68(1):45–52. doi: 10.1111/j.1541-0420.2011.01673.x

Table 1.

Robustness to the additive Gaussian assumption under gamma distribution (model (11)): l = 1000, n = 8, k = 2 with 10, 000 Monte Carlo simulations. γ̃ are ANOVA estimators of ICC under Designs F, T, and I. R_TF = Var_T(γ̃)/Var_F(γ̃), R_IF = Var_I (γ̃)/Var_F (γ̃) and R_IT = Var_I (γ̃)/Var_T (γ̃) (Monte Carlo estimators). It follows from Result 1 and Result 2 that under normal assumptions, R_TF=1.17,R_IF=2.

σ_{A}^{2}

Design F

Design T

Design I

γ̃

10⁵Var

γ̃

10⁵Var

R_TF

γ̃

10⁵Var

R_IF

0.536

0.25

0.2498

18.81

0.250

23.27

1.24

0.2499

33.78

1.80

43.39

0.75

0.7497

9.46

0.7496

11.75

1.24

0.7493

18.45

1.95

390.52

0.90

0.8998

2.02

0.8998

2.53

1.25

0.8997

3.91

1.94

11.67

0.25

0.2496

17.56

0.2499

20.40

1.16

0.2499

33.26

1.89

167.92

0.75

0.7498

10.04

0.7497

11.56

1.15

0.7493

18.58

1.85

810.15

0.90

0.8998

2.04

0.8998

2.47

1.21

0.8997

3.98

1.95