MATHEMATICAL TREATMENT OF DUAL SCALING
On the basis of the Preparations so far, we are now ready to look at a formal derivation of dual scaling. As you may have guessed from the many names for the quantification method and from the earlier discussion of the many ideas behind dual scaling, there are a number of ways to formulate it. This paper contains a detailed description of one of them. Some readers may find this paper too technical Many formulas are presented in this paper occasionally without sufficient background information .However, once of the basic idea is understood, technical matters can be mastered through self-directed endeavor, and this paper should serve such guide by offering bird’s eye view of mathematical treatment of dual scaling.
Benzecri,J.P.et al (1973) .LAnalyse does Donnees .II.LAnalyse des correspondences [ data analysis II. Correspondence analysis ]. Paris France : Dunod .
Coombs, C.H.(1964).Atheory of data .New York ,Joha Wiley and Jons,Ine
Frank, G.R.(1985)Evaluating measure through data quantification : Applying dual scaling to an advertising copy test .Journal of Business Research, 13,61-69
Halpine,s.(1991) , Phase angle differences in visual evoked potentials : Do they affect estimate of the signal ? unpublished doctor distribution ,university of Toronto –Ganda .
Nishisato ,S.(1986c) .Multi-dimensional analysis of successive categories .InJ.de Leeuw, W.Heiser ,J.Meulman ,& F. Gritchley (Eds), Multi-dimensional data analysis (pp.249-250 ) .Leiden ,the Nehter lands, DSWO Press .
Rao,c.R. (1965)Linear statistical inference and the application , New York : wiley
Shizuhiko, Nishisatio (1994) Elements of dual sealing “ An introduction t j
parctical data Analysis .
Shizuhiko, NishisatioElements of dual sealing An introduction parctical data Analysis .
Sachs ,J.(1984) .Approximatiay an anderlying continuous variable with dual scaling unpublished masters theis, unversity of Toronto ,Ganda .
Tversky , A. (1964) . on the opimal number of alternative Sat achoice point .
Journal of Mathematical Psychology ,I,(386-93)
Watanabe ,S.( 1969) .Knowing and guessing : Aquantitative study of In ference and information . New York :Wiley.
It is the policy of the Journal of Duhok University to own the copyright of the technical contributions. It publishes and facilitates the appropriate re-utilize of the published materials by others. Photocopying is permitted with credit and referring to the source for individuals use.
Copyright © 2017. All Rights Reserved.