conceptual question about FDR, FDR adjusted p-value and q-value
Dear Jack, The thing to understand is that terms like FDR and q-value were defined in specific ways by their original inventors but are used in more generic ways by later researchers who adapt, modify or use the ideas. The term "false discovery rate (FDR)" was created by Benjamini and Hochberg in their 1995 paper. They gave a particular definition of what they meant by FDR. Their procedure accepted or rejected hypotheses, but did not produce adjusted p-values. Benjamini and Yekutieli presented another more conservative algorithm to control the FDR in a 2001 paper. Same definition of FDR, but a different algorithm. In 2002, I re-interpreted the Benjamini and Hochberg (BH) and Benjamini and Yekutieli (BY) procedures in terms of adjusted p-values. I implemented the resulting algorithms in the function p.adjust() in the stats package, and used them in the limma package, and this lead to the concept of an FDR adjusted p-value. The terminology used by the p.adj...