On the Analysis of Optical Mapping Data - University of Wisconsin ...

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0.0 0.2 0.4 0.6 0.8 1.0
H 1 : Λ > Λ 0
40
Λ
30
20
0.5
0.9
H 1 : Λ < Λ 0
10 20 30 40
H 1 : Λ > Λ 0
30
0.9
0.5
Λ 0
20
10
H 1 : Λ < Λ 0
2 2 4
40
Power
50%
90%
10
0
10 20 30 40
Λ 0
(a)
1 4 1 2 1 2
Λ Λ 0 (logarithmic scale)
(b)
Figure 4.1 Power β(Λ|Λ 0 ) = P Λ (H 0 rejected ) for one-sided uniformly most powerful randomized
level 0.05 tests. The choice of 0.05 is unreasonable in multiple testing situations,
but that does not detract from the message. (a) shows a level plot of power as a function of
Λ 0 and Λ, along with contours of 50% and 90% power. (b) is a more relevant interpretation
of the same relationship, showing the value of Λ 0 needed to achieve powers of 50% and 90%
given copy number Λ/Λ 0 .