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Table 1 Type 1 error rate comparisons based on 5000 simulations of 100 sib pairs under two different types of null models. Null model A is the model simulated under no heritability due to the testing QTL and no polygenic heritability. Null model B is the model without heritability due to the testing QTL but with polygenic heritability h2 and σ a 2 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWFdpWCdaqhaaWcbaGaemyyaeMaeGOmaidabaGaeGOmaidaaaaa@31D2@ = 1. The other underlying parameters are (β0, β1, β2) = (1, 1, 1), and (σ2, α) = (7, 0.5). The assumed s(t) is labeled as "i" for s0 + s1t, and "q" for s0 + s1t + s2t2.

From: Linkage analysis of longitudinal data and design consideration

T

h 2

Assumed s(t)

Significance level

   

0.05

0.01

0.001

Null model A

5

0.0

l

0.045

0.010

0.0012

  

q

0.051

0.011

0.0008

4

0.0

l

0.041

0.009

0.0005

  

q

0.048

0.009

0.0005

2

0.0

l

0.042

0.005

0.0008

  

q

0.040

0.006

0.0005

Null model B

5

0.190

l

0.040

0.006

0.0006

  

q

0.053

0.009

0.0014

4

0.174

l

0.041

0.008

0.0004

  

q

0.052

0.010

0.0006

2

0.141

l

0.040

0.008

0.0008

  

q

0.038

0.005

0.0006