Slide 8
Slide 8 text
Sequence Kernel Association Test Wu et al. (2000,2001)
• Assume regression model (continuous outcome)
• Variance component test
• Assume , where F() is an arbitral distribution
• Test hypothesis
• Score test for
where is the estimated , and
• Each weight is pre-specified
• Ex. , where are shape parameters
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Other covariates Genotype (1×p vec)
H0 : 1 = · · · = p = 0 , H0 : ⌧ = 0
j
⇠ F(0, w2
j
⌧)
⌧ = 0
QV C = (Y ˆ
µ0)T K(Y ˆ
µ0) asym
! Mixture of 2
1
ˆ
µ0 E
H0
[Y
i
] K = GW GT
wj
p
wj = Beta(MAFj; a1, a2) a1, a2
W = diag(w2
1
, . . . , w2
p
)
Yi = ↵0 + Xi↵ + Gi + " " ⇠ N(0, 2)