Coordinates for Joint Graphs

Abstract

We have looked at interesting relations between two representations of the same data, the contingency-table format and the response-pattern format. Although the main objective of quantifying the contingency table is to carry out bi-modal analysis of rows and columns of the table, the contingency table is in some sense not amenable to bi-modal analysis, but requires the incorporation of the space discrepancy angle to estimate the row and the column coordinates for complimentary space of each component—this was discussed in Chap. 3. As we have seen in the previous chapters, a direct way of finding coordinates of rows and columns in common space is to analyse the response-pattern table. From the information retrieval point of view, the use of the response-pattern table is by far superior to the use of the contingency-table format, for the response-pattern format yields not only exact Euclidean coordinates for both rows and columns in common space but also provides some extra information to characterize information in the data that the contingency table no longer contains. This extra information on the response-pattern table will also be discussed in this chapter.