Linkage analysis of longitudinal data and design consideration

BMC Genomic Data

Table 5 The power based on 500 replicates of 200 4-sib families. For comparison purpose with the other tables, we consider two repeated measures only. The underlying parameters are (β₀, β₁, β₂) = (1, 1, 1) with various settings of ( $σ_{a 1}^{2}$ , $σ_{a 2}^{2}$ , σ², α). The assumed s(t) is labeled as "c" for constant, "l" for s₀ + s₁t, and "q" for s₀ + s₁t + s₂t².

( $σ_{a 1}^{2}$ , $σ_{a 2}^{2}$ , σ², α)	$h_{g}^{2}$	Assumed s(t)	Significance level
			0.05	0.01	0.001	0.0001
True s(t) = 1 + 0.1t
(2, 1, 7, 0.5)	0.272	c	0.98	0.93	0.77	0.52
		l	0.97	0.85	0.71	0.47
		q	0.89	0.79	0.56	0.35
(1, 1, 8, 0.5)	0.143	c	0.57	0.35	0.11	0.04
		l	0.48	0.26	0.10	0.04
		q	0.33	0.16	0.05	0.00
True s(t) = 1
(2, 1, 7, 0.5)	0.220	c	0.91	0.77	0.49	0.25
		l	0.84	0.65	0.38	0.13
		q	0.72	0.51	0.22	0.08
(1, 1, 8, 0.5)	0.112	c	0.44	0.24	0.06	0.01
		l	0.37	0.12	0.03	0.00
		q	0.22	0.07	0.01	0.00
True s(t) = exp(t)/(1 + exp(t))
(2, 1, 7, 0.5)	0.155	c	0.66	0.40	0.17	0.06
		l	0.65	0.44	0.19	0.07
		q	0.53	0.31	0.10	0.05
(1, 1, 8, 0.5)	0.076	c	0.28	0.11	0.02	0.00
		l	0.25	0.07	0.01	0.00
		q	0.11	0.02	0.01	0.00

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