The simultaneous conjoint model of measurement is first briefly outlined and its relevance to the problems of measurement level in sociological research discussed. The canonical correlation approach to the analysis of contingency tables is then presented as a simultaneous conjoint model solution to the problem of providing a more adequate representation than a traditional X2-based measure of association of more complex sets of frequency data.
Get full access to this article
View all access options for this article.
References
1.
Andrews, D.F. et al. (1971) "Transformations of multivariate data." Biometrics27: 825-840.
2.
Beck, E.M. (1973) "A canonical approach to assessing occupational mobility matrices." Social Sci. Research2: 247-256.
3.
Bishop, Y.M.M., S.E. Fienberg, and P.W. Holland (1975) Discrete Multivariate Analysis. Cambridge, Mass.: MIT Press.
4.
Borgatta, E.F. (1968) "My student, the purist: a lament." Soc. Q.9: 29-34.
5.
Boyle, R.P. (1970) "Path analysis and ordinal data." Amer. J. of Sociology74: 461-480.
6.
Cattell, R.B. (1962) "The relational simplex theory of equal interval and absolute scaling." Acta Psychologica20: 139-159.
7.
Crowder, N.D. (1974) "A critique of Duncan's stratification research ." Sociology8: 19-46.
8.
Duncan-Jones, P. (1972) "Social mobility, canonical scoring and occupational classification," pp. 191-210 in K. Hope (ed.) The Analysis of Social Mobility. Oxford, England: Clarendon.
9.
Guttman, L.L. (1941) "The quantification of a class of attributes," pp. 321-347 in P. Horst (ed.) The Prediction of Personal Adjustment. New York: Social Science Research Council.
10.
Hirschfield, H.O. (1935) "A connection between correlation and contingency ." Proceedings of the Cambridge Philosophical Society31: 520-524.
11.
Hope, K. (1968) Methods of Multivariate Analysis. London: Univ. of London Press.
12.
Hotelling, H. (1936) "Relations between two sets of variables." Biometrika27: 321-377.
13.
Hunter, A.A. (1973) "On the validity of measures of association: the nominal-ordinal two-by-two case." Amer. J. of Sociology79: 99-109.
14.
Jacobsen, P.E. (1970) "Some comments to console Edgar F. Borgatta." Soc. Q.11: 265-269.
15.
Kendall, M.G. and A. Stuart (1967) The Advanced Theory of Statistics, Volume 2. London: Griffen .
16.
Klatsky, S.R. and R.W. Hodge (1971) "A canonical correlation analysis of occupational mobility." J. of the Amer. Statistical Ass'n66: 16-22.
17.
Lingoes, J.C. (1973) The Guttman-Lingoes Nonmetric Program Series. Ann Arbor, Mich.: Mathesis.
18.
Luce, R.D. and J.W. Tukey (1964) "Simultaneous conjoint measurement: a new type of fundamental measurement." J. of Math. Psychology1: 1-27.
19.
Maxwell, A.E. (1973) "Test of association in terms of matrix algebra." British J. of Math. and StatisticalPsychology26: 155-166.
20.
Muir, D.E. (1974) "Review of sociological methodology 1973-1974." Amer. J. of Sociology80: 1015.
21.
Roskam, E.E. (1968) Metric Analysis of Ordinal Data in Psychology. The Hague: Voorschoten.
22.
Shepard, R.N. (1972) "A taxonomy of some principal types of data and of multidimensional methods for their analysis," pp. 23-47 in R. N. Shepard (ed.) Multidimensional Scaling, Volume 1. New York: Seminar .
23.
Srikantan, K.D. (1970) "Canonical association between nominal measurements ." J. of the Amer. Statistical Ass'n65: 284-292.
24.
Torgerson, W.S. (1958) Methods of Scaling. New York : John Wiley.
25.
Tversky, A. (1967) "A general theory of polynomial conjoint measurement ." J. of Math. Psychology4: 1-20.
26.
Weiss, D.J. (1972) "Canonical correlation analysis in counselling psychology research." J. of Counselling Psychology19: 241-252.