This paper shows how three-mode principal compo nents analysis can be useful for the analysis of seman tic differential ratings, in particular because no sum mation is necessary over any one mode. The use of "joint plots" (a variant of the biplot) and sums-of- squares interpretations is explained and illustrated.
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References
1.
Gabriel, K.R. (1971). The biplot graphical display of matrices with application to principal component analysis. Biometrika, 58, 452-467.
2.
Gabriel, K.R. (1981). Biplot display of multivariate matrices for inspection of data and diagnosis. In V. Barnett (Ed.), Interpreting multivariate data (pp. 147-164). Chichester, England: Wiley.
3.
Harshman, R.A., & Lundy, M.E. (1984). Data preprocessing and the extended PARAFAC model . In H.G. Law, C. W. Snyder Jr., J. A. Hattie, & R. P. McDonald (Eds.), Research methods for multi-mode data analysis (pp. 216-284). New York: Preager.
4.
Heise, D.R. (1969). Some methodological issues in semantic differential research. Psychological Bulletin,72, 406-422.
5.
Kroonenberg, P.M. (1981). User's guide to TUCKALS3. A program for three-mode principal component analysis (WEP Reeks, WR 81-6-RP, Section W.E.P.). Leiden, The Netherlands: University of Leiden, Department of Education.
6.
Kroonenberg, P.M. (1983a). Annotated bibliography of three-mode factor analysis . British Journal of Mathematical and Statistical Psychology , 36, 81-113.
7.
Kroonenberg, P.M. (1983b). Three-mode principal component analysis: Theory and applications. Leiden, The Netherlands: DSWO Press.
8.
Kroonenberg, P.M., & de Leeuw, J. (1980). Principal component analysis of three-mode data by means of alternating least squares algorithms. Psychometrika , 45, 69-97.
9.
Levin, J. (1965). Three-mode factor analysis. Psychological Bulletin,64, 442-452.
10.
Osgood, C.E., & Luria, Z. (1969). A blind analysis of a case of multiple personality . In J. G. Snider & C. E. Osgood (Eds.), Semantic differential technique: A source book (pp. 505-517). Chicago IL: Aldine. (Reprinted from Journal of Abnormal and Social Psychology, 1954, 49, 579-591)
11.
Osgood, C.E., Suci, G.J., & Tannenbaum, P. (1957) The measurement of meaning . Urbana IL: University of Illinois Press.
12.
Snider, J. G., & Osgood, C. E. (Eds.). (1969). Semantic differential technique: A source book. Chicago IL: Aldine.
13.
Snyder, F.W., & Wiggins, N. (1970). Affective meaning systems: A multivariate approach . Multivariate Behavioral Research, 5, 453-468.
14.
Thigpen, C.H., & Cleckley, H. (1954). A case of multiple personality. Journal of Abnormal and Social Psychology, 49, 135-151.
15.
Tucker, L.R. (1963). Implications of factor analysis of three-way matrices for the measurement of change. In C. W. Harris (Ed.), Problems in measuring change (pp. 122-137). Madison: University of Wisconsin Press.
16.
Tucker, L.R. (1966). Some mathematical notes on three-mode factor analysis . Psychometrika, 31, 279-311.
