Abstract
The proposed algorithm works in practice very well. At first sight, this property of the algori-thm could appear rather unexpected considering the very rigorous necessary requirements for the simultaneous testing of the appropriate p(x)-values.
The proposed algorithm has, in all cases, the mathematical properties which cause it to work very well. When simultaneous null hypotheses are rejected, the appropriate p(x)-values oscillate (very frequently) somewhere not far from zero.
This means in practice that very rigorous requirements for simultaneous testing are then satisfied. The discovered principles can be generally usable in analogical spectrosco-py studies, i.e., not only for treatment of the MS for the purpose of biomarker identification.
They are even generally applicable to the arbitrary problem of marker identification (used in miscellaneous branches of human activity) by simultaneous tests in a set of quantifying de-pendences.