Three procedures, alpha, image, and uniqueness rescaling, were applied to a joint occurrence probability matrix. That matrix was the basis of a well-known latent class structure. The values of the recurring subscript elements were varied as follows: Case 1 - The known elements were input; Case 2 - The upper bounds to the recurring subscript elements were input; Case 3 - No input parameters, thus incorporating analogs of the strong and weak lower bounds. The uniqueness rescaling and image methods took out the correct number of dimensions in Case 3. Orthogonal rotation failed to reproduce the known latent structure probability parameters. Least squares transformation of the image pattern, however, produced close approximations of the original matrix and the occurrence probability matrix. The results are reported in a comprehensive set of tables. (Author/AE)