A method for calculating a position of an image of an alignment mark
formed on an object to be detected includes the steps of obtaining first
information indicative of a center position in the alignment mark based
on a detection signal, obtaining a waveform characteristic of the
detection signal as second information, and correcting the first
information based on the second information that has been obtained, and a
measurement error of the center position of the alignment mark, which
result from an optical system for detecting the alignment mark.