Abstract
On correspondence analysis, the simultaneous representation depends on profiles of rows and columns, and does not depend on sample size. So, if all of the profiles are equivalent for two data sets, the simultaneous representation is the same in spite of difference of the sample size. But reliability of simultaneous representation depends on the sample size. In this paper, we regard asymptotic confidence regions of frequencies as a reliability of each profile, and adding this to configuration, we can verify reliability of simultaneous representation.