Abstract
A contingency table summarizes the conditional frequencies of two attributes and shows how these two attributes are dependent on each other. Thus, this table is a fundamental tool for pattern discovery with conditional probabilities, such as rule discovery. This paper proposes formal analysis of a contingency table based on linear algebra. The analysis shows that the rank of a contingency table plays a very important role in evaluating the degree of statistical independence. Especially, from the viewpoint of the degree of independence, we have three classes: (complete) dependence, partial dependence, and independence. Also, determinantal divisors provides information on the degree of dependencies between the matrix of the whole elements and its submatrices.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.