dil |
1,2,...,G
|
Number of genes in a dataset with FDR lower than the threshold l
|
ELg |
(0,Inf) |
Expected value of the log likelihood with respect to the FDR threshold |
fil |
1,2,...,dil
|
Number of false positives using the FDR threshold l
|
Fgi |
(0,1) |
Gene-specific false discovery rate in dataset i: proportion of false positives among the significant calls |
FDRg |
(0,1) |
Gene-specific false discovery rate for having consistently differentially expressed patterns among the datasets studied |
g |
1,2,...,G
|
Index for a gene from the union of gene sets across all datasets |
h |
1,2,...,Hi
|
Index for fold change comparison between a case and a control from a dataset, where mi * ni = Hi
|
i |
1,2,...,D
|
Index for a gene expression microarray dataset (consists of mi cases and ni controls) |
l |
(0,1) |
FDR threshold used to enumerate number of genes with FDR lower than this threshold in a dataset and to estimate the number of false positives under this threshold |
L(rgl|Data) |
(0,1) |
Gene- and FDR threshold- specific likelihood of observing the differential expressed pattern among the datasets |
|
1,2,...,G
|
number of genes that are not up(not down)-regulated in dataset i
|
Qgl |
(0,Inf) |
Minus log likelihood |
|
(0,1) |
False positive rate: the probability of a non-up-regulated (non-down-regulated) gene being falsely called as over-expressed (under-expressed) |
(or ) |
0[1] |
Binary variable indicating gene g is identified as up(or down)-regulated in dataset i for threshold l
|
γgih |
1,2,...,G
|
rank of fold change for gene g in the hth comparison of dataset i
|