A multivariate method for exploratory scalogram analysis of binary data is developed—Multiple Hierarchical Analysis (MHA). This method, based on certain factor analytic methodology, is demon strated using an illustrative data set. It is concluded that the MHA methodology will be functional in identifying underlying independent and noninde pendent scales in binary data.
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References
1.
Carroll, J.The nature of data or how to choose a correlation coefficient. Psychometrika, 1961, 26, 347-372.
2.
Cattell, R.B., & Jaspers, J.A general plasmode (No. 30-10-5-2) for factor analytic exercises and research . Multivariate Behavioral Research Monographs, 1967, 2, 3.
3.
Christoffersson, A.Factor analysis of dichotomized variables. Psychometrika, 1975, 40, 5-32. Cureton , E.Note on Φ/Φ max. Psychometrika, 1959, 24, 89-91.
4.
Goodenough, W.H.A technique for scale analysis. Educational and Psychological Measurement, 1944, 4, 179-190.
5.
Guilford, J.P.Fundamental statistics in psychology and education. New York: McGraw-Hill, 1965. Guttman, L.A basis for scaling qualitative data. American Sociological Review, 1944, 9, 139-150. Guttman, L.The Cornell technique for scale and intensity analysis. Educational and Psychological Measurement, 1947, 7, 247-279.
6.
Guttman, L.Relation of scalogram analysis to other techniques. In S. A. Stouffer, L. Guttman, E. A. Suchman, P. F. Lazarsfeld , S. A. Star, & J. A. Clausen (Eds.), Measurement and prediction . Princeton, NJ: Princeton University Press, 1950.
Johnson, J.M.Maximal selectivity, correctivity and correlation obtainable in 2 x 2 contingency tables. American Journal of Psychology, 1945 , 58, 65-68. Lingoes , J.Multiple scalogram analysis: A set-theoretic model for analyzing dichotomous items. Educational and Psychological Measurement, 1963,23,501-524.
11.
Loevinger, J.The technique of homogeneous tests compared with some aspects of "scale analysis" and factor analysis. Psychological Bulletin, 1948, 45, 507-529.
12.
Purzek, R.Factor analysis. In J. Belzer et al. (Eds.), Encyclopedia of computer science and technology (Vol. 8). New York: Marcel-Deker Press, 1977.
13.
Tucker, L.Report of working group on factor analysis problems. Paper presented at the joint meeting of the Psychometric and Psychonomic Society, Niagra Falls, 1964.
