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. 2020 Mar 20;20:69. doi: 10.1186/s12874-020-00941-z

Table 2.

Power of the TWIST compared to the TLRT when α and γ are additive

Underdispersion Equidispersion Overdispersion
1=−0.35andγ2=0) 1=0andγ2=0) 1=0.10andγ2=0)
eβ TWIST TLRT TWIST TLRT TWIST TLRT
(a) α has an additive effect and eα>1
2 0.95 0.56 0.42 0.08 0.49 0.42
1 0.93 0.36 0.29 0.02 0.37 0.28
0.50 0.95 0.47 0.32 0.03 0.42 0.32
(b) α has no effect, eα=1
2 0.50 0.44 0.09 0.10 0.59 0.60
1 0.36 0.25 0.04 0.02 0.50 0.48
0.50 0.45 0.34 0.04 0.04 0.53 0.53
(c) α has an additive effect and eα<1
2 0.22 0.32 0.41 0.12 0.95 0.77
1 0.11 0.14 0.30 0.04 0.91 0.65
0.50 0.14 0.18 0.35 0.05 0.96 0.74

(b) The underlined values show the estimated level of the type I error.

(c) The tail defects for the [AA], [Aa] and [aa] groups are respectively : 0.50, 0.55 and 0.59 for γ1= -0.35, and 0.50, 0.44 and 0.37 for γ1= 0.10. The proportion of pre-immune subjects is 10% and the MAF is 20%.