The Carroll-arabie Taxonomy of Scaling Methods
نویسندگان
چکیده
This is an entry for The Encyclopedia of Statistics in Behavioral Science, to be published by Wiley in 2005. A large number of computerized scaling techniques were developed in the wake of the pioneering work of Shepard, Kruskal, and Guttman [4, 5, 6, 8, 9]. There have been various attempts to bring some order into this bewildering variety of techniques. Books such as Roskam [7], or review articles such as De Leeuw and Heiser [3] are organized with a clear taxonomy in mind, but the most well-known and comprehensive organization of scaling methods is due to Carroll and Arabie [1]. Before we discuss the taxonomy, we have to emphasize two important points. First, the proposed organization is clearly inspired by earlier work of Coombs [2] and Shepard [10]. The exquisite theoretical work of Coombs was written before the computer revolution, and the scaling methods he proposed were antiquated before they were ever seriously used. This had the Date: July 23, 2004.
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