The best write up on the philosophy and methods of scaling theory i have ever seen this was also the start of multidimensional scaling this book is fundamental for understanding scaling as a scientific endeavor easy reading as well for anyone with some understanding of calculus and probability theory murray turoff 1 12 2010 turoffnjitedu. A theory and methods of scaling c warren s torgerson 260 a london b wiley c 1963 300 a xi 460 p 852 4 x ub b ca20 c bib j bibs004939 p 000000325366 920 a book crd a bib20030625 z30 1 l rug01 l rug01 m book x ub 1 ca20 2 bib 3 bibs004939 6 1999b102 5 000000325366 8 20030625 f 50 f available for loan. Get this from a library theory and methods of scaling w s torgerson the importance of measurement in science the nature of measurement classification of scaling methods the subjective estimate methods the fractionation methods equisection methods the . Multidimensional scaling can be considered as involving three basic steps in the first step a scale of comparative distances between all pairs of stimuli is obtained this scale is analogous to the scale of stimuli obtained in the traditional paired comparisons methods. The essential technical concepts upon which scaling theory rests are property relation function and scientific variable though all but the last of these are familiar notions in logic and mathematics their review will make an appropriate beginning if only to introduce present terminology and notation
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