1992 年 19 巻 2 号 p. 97-116
The aim of the present paper is to discuss a hierarchical assessment of continuous latent traits by use of latent Guttman's scales. The latent space under consideration is expressed as x a compact space ?? [0, 1], and is partitioned into several domains which imply the levels of K latent traits. The amount of information about the latent space, which the present latent class analysis includes, is considered, and the latent class analysis is evaluated through the amount of information about the latent space. Concerning the correlation of latent traits, an indicator of the correlation is derived, and in addition a method for testing the correlation of latent traits is proposed. A numerical example is also presented to demonstrate the present analysis.
