Measurement and multivariate analysis

This paper is prepared to serve the purpose of introducing the readers to the main theme of this conference. The emphasis is placed on the introduction of desirable properties of measurements so as to make the outcomes of multivariate analysis meaningful. Starting with such fundamental requirements for measurements to be valid as metric axioms and the Young-Householder theorem, the paper is then extended to the discussion of two topics where we see important interplays between measurement and multivariate analysis. The paper is concluded with a note on the importance of a well-balanced interplay between measurement and multivariate analysis, to which end this international and interdisciplinary conference was planned and successfully organized.