In the field of machine learning and knowledge discovery in databases attributes or features have a central role, thus it is reasonable to also question their quality and importance for the given problem. Because this is in general a difficult problem, we focused in the thesis on the development of a new method for estimating attribute importance. The new method is based on sampling the attribute space, evaluating the performance of algorithms for machine learning and reasoning about the importance of individual attributes based on the obtained scores. More specifically, at first different combinations of attributes are chosen and smaller data sets that contain them are prepared on which a testing procedure with sampling obtains estimate...