title: On the direct products of measurement structures.
abstract: This paper considers the direct products of relational systems of the same type and scales defined thereon, as well as the invariance properties of functions on such product structures. The results will be applied to a theory of multidimensional scale types.
authors.affiliation: Department of Mathematics and Statistics, James Madison University, Harrisonburg, VA 22807, USA. chiangcx@jmu.edu
authors.forename: C Y
authors.initials: CY
authors.lastname: Chiang
mesh_terms: D000704:Analysis of Variance; D006801:Humans; D015233:Models, Statistical; D011594:Psychometrics