Abstract
An artificial circular data for correspondence analysis has been presented by Iwatsubo and he has obtained the eigenvalues and eigenvectors of the data analytically. This paper first presents an artificial disk data by adding the center of the circle to Iwatsubo's data, and then generalizing it through the use of several concentric circles. The generalized data is solvable analytically and has two parameters; the number of points on each circumference, C, and the number of the circles, R. The former is regarded as a circular trait and the latter a linear trait. Each trait gives rise to the Guttman series; intensity, closure, involution, etc. The series for C are trigonometric functions and those for R are nearly polynomials of the basic linear scores. The ordering of magnitude of the eigenvalues depends on the values of the two parameters. Sometimes it is required to remove the Guttman series of one of the two traits to obtain the scores for the other trait.
