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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 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyyaeMaeGymaedabaGaeGOmaidaaaaa@31D0@ , σ a 2 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyyaeMaeGOmaidabaGaeGOmaidaaaaa@31D2@ , σ2, α). The assumed s(t) is labeled as "c" for constant, "l" for s0 + s1t, and "q" for s0 + s1t + s2t2.

From: Linkage analysis of longitudinal data and design consideration

( σ a 1 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyyaeMaeGymaedabaGaeGOmaidaaaaa@31D0@ , σ a 2 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyyaeMaeGOmaidabaGaeGOmaidaaaaa@31D2@ , σ2, α) h g 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGObaAdaqhaaWcbaGaem4zaCgabaGaeGOmaidaaaaa@307B@ 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