1. A method for the computer-aided monitoring of process parameters of a manufacturing process of a physical object, storing an unspecific value for the hierarchical level if no specific value is stored in the object data record for the hierarchical level; storing process data for the corresponding object data records; comparing the stored process data with the stored limit values for the corresponding object data records; and iteratively processing the hierarchical levels of the object data record of the stored process data being iteratively processed according to a predeterminable hierarchy in such a way that, starting from a highest hierarchical level, the next-lower hierarchical level is processed.