Methods for generating a normalized expression signal for microarray data based on a theoretical distribution at the unit level to produce a normalized expression signal for the single microarray that is independent of other microarrays. The method typically includes receiving microarray data representing a plurality of probe pairs for a single microarray, determining, for each probe pair, differences between intensities of perfect match (PM) probes and intensities of mismatched (MM) probes, determining a difference signal, D, based on the determined differences, and scaling the difference signal, D, to produce an expression signal, DS. The method also typically includes normalizing the expression signal based on a theoretical distribution at the unit level to produce a normalized expression signal for the single microarray that is independent of other microarrays.