2 3 2

1´ E éé é

2

é 3É éé é \begin{matrix}R \\ ◯ \end{matrix} ? ? ? ? ? ? ? ? ? ?

http://www.nslij-genetics.org/microarray/

HD ? ? ?

http://www.ncbi.nlm.nih.gov/geo/

? ? ?

affy

?

affyPLM

?

car

?

limma

?

qvalue

?

rmeta

? ?

affyPLM

? ?? ? ? ?

http://affycomp.biostat.jhsph.edu/

? ? ? ? log_{2}

log_{2} b(P M_{ij}) log_{2} b(P M_{ij}) = μ_{i}+α_{j}+ϵ_{ij},

(1) μ_{i}

i α_{j} ϵ_{ij}

? ∑_{j} α_{j} =

0 ? μ_{i}

i affy

? Mlog_{2}

M M M M t t ? ? ? ? g

Y_{g} Y_{g} = Xβ_{g}+ϵ_{g},

X β_{g} ϵ_{g}

X t j g

modt_{gj} = \frac{β̂_{gj}}{s̃_{g}\sqrt{v_{gj}}} ,

β̂_{gj}

j g

s̃_{g} v_{gj}

modt M g t ? modt p p

? ? p q

? ? q

modt p q

qvalue

? q g g

I y =

β_{0}+

β_{HD}I_{{HD=1}}+ ϵ y =

β_{0}+ β_{HD}I_{{HD=1}}+

β_{batch}I_{{batch=1}}+ ϵ y =

β_{0}+ β_{HD}I_{{HD=1}}+ β_{batch}I_{{batch=I}}+

β_{HD×batch}I_{{HD×batch=1}}+ ϵ limma modt p q p rmeta ? t p q

? g

β_{i}

k g

H_{0}: β_{1} = β_{2} = ⋯ = β_{k}

β_{i} Q

Q = ∑_{i=1}^{k} w_{i}(β̂_{i}−β̄_{.})^{2},

(2) β̂_{i}

i w_{i} i β̄_{.}

β̄_{.} = \frac{∑_{i} w_{i}β̂_{i}}{∑_{i} w_{i}} .

(3) Q χ_{k−1}^{2}

? ?? w_{i}

β̄_{.} ? 1/ ∑_{i=1}^{k} w_{i}

β̄_{.} p q p

β̄_{.} p

w_{i}^{∗} = \frac{1}{(1/w_{i}) + τ̂^{2}} ,

τ̂ ? ?? w_{i}^{∗} w_{i}

1/ ∑_{i=1}^{k} w_{i}^{∗} p q p p p p p

? p

? p p_{i}

U(0, 1)

S = −2 ∑_{i=1}^{k} log(p_{i}).

(4)

S p

S χ_{2k}^{2}

2k p p

S χ_{4}^{2}

? p

U(0, 1) p p

?? S^{R} S^{R} p

S S_{i}^{R}

S p

S p

?? ?? ? MA ?? log_{2}

? ? ?? C p q

C B p q

?? p q

C B ?? q < q < p q

A q

B ?? q

B q

A B B A q

modt p q

B Q

?? τ ?? p p < 0.05 p < 0.10 ?? q p q

Q Q χ_{1}^{2}

τ̂ < \sqrt{.05} ?? χ_{1}^{2}

χ_{1}^{2} χ^{2}

τ̂ τ̂ < 0.01 ?? τ̂ τ ?? τ̂ ≈ 0.1 τ̂ ≈ 0.1 τ ?? ?? q

?? q

− log_{10} q

Q

− log_{10} q

− log_{10} q q

Q

?? ?? q

− log_{10}

?? q

?? ??