ABSTRACT

Articles published in the early years of the Journal of the American Statistical Association, i.e., 1888-1910s, posited new theories mostly by using arithmetical arguments. Starting around the mid-1910s the arguments became algebraic in nature and by the 1920s this trend was well established. Today, a century later, in addition to cogent mathematical arguments, new statistical developments are becoming computational, such is the power and influence of the modern computer (a device un-dreamed of in those earlier days). Likewise, we see enormous changes in the size and nature of assembled data sets for our study. Therefore, entirely new paradigms are entering our discipline, radically changing the way we go about our art. This chapter focuses on one such method wherein the data are symbolically valued, i.e., hypercubes in p-dimensional space Rp, instead of the classically valued points in Rp.