From: Sequential interim analyses of survival data in DNA microarray experiments
1. Patient Data | |
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N | samples |
| anticipated length of the recruitment part of the study |
a = (a1, ..., a N ) | arrival times |
where a i ~ U(0, l1), i = 1, ..., N | |
l1 = max(a) | length of the recruitment part |
l2 | length of the follow-up part |
L = l1 + l2 | study length |
M1 | number of analyses within l1 |
M2 | number of analyses within l2 |
M = M1 + M2 | number of analyses |
t = (t1, ..., t N ) | analysis times |
λ | mean survival time |
s = (s1, ..., s N ) | survival times |
where s i ~ Exp(λ), i = 1, ..., N | |
| censor variable |
where | |
2. Gene Expression Data | |
d | genes |
d0 | genes not associated with survival |
d1 | genes associated with survival |
R | number of positive test decisions |
FN | false negative test decisions |
TN | true negative test decisions |
FP | false positive test decisions |
TP | true positive test decisions |
τ | fraction of differentially expressed genes |
| gene expression data |
ϑ | tuning parameter within the estimation of the proportion of true null hypotheses |
αBH | the level for the type I error that is adjusted according to the BH- procedure |