The term correlation coefficient has been defined in various ways. In this article the E-(correlation) coefficient concept is considered. Six characteristics of an E-coefficient are mentioned. For 23 similarity measures of interval, ordinal, dichotomous, and nominal data is considered whether they are E-coefficients or not. Finally, the importance of the concept is discussed.
Get full access to this article
View all access options for this article.
References
1.
Cohen, J.rc: A profile similarity coefficient invariant over variable reflection. Psychological Bulletin, 1969, 71, 281-284.
2.
Goodman, L. A. and Kruskal, W. H.Measures of association for cross classifications . Journal of the American Statistical Association, 1954, 49, 732-764.
3.
Guilford, J. P.Fundamental statistics in psychology and education. (3rd ed.) New York: McGraw-Hill, 1956.
4.
Holley, J. W. and Guilford, J. P.A note on the G index of agreement. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1964, 24, 749-753.
5.
Holley, J. W. and Kline, P.On the generalization of the G index of agreement, Go for use with ordinal scores. Scandinavian Journal of Psychology , 1976, 17, 149-152.
6.
Janson, S. and Vegelius, J.On the applicapility of truncated component analysis based on correlation coefficients for nominal scales. Applied Psychological Measurement, 1978, 2, 135-145.
7.
Kendall, M. G.Rank correlation methods. London: Charles Griffin, 1948.
8.
Kendall, M. G. and Stuart, A.The advanced theory of statistics. Vol. 2, London: Charles Griffin, 1967.
9.
Lienert, G. A.On a generalized G index of agreement. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1973, 33, 767-772.
10.
Lindgren, B. W.Statistical theory. London: MacMillan Company, Collier-MacMillan , 1968.
11.
Pearson, K.Mathematical contributions to the theory of evolution: On a general theorem in normal correlation. Phil. Trans. Roy. Soc., 1901, 195A.
12.
Pearson, K.Mathematical contributions to the theory of evolution. XIII. On the theory of contingency and its relation to association an normal correlation. Draper's Company Research Memoirs, Biometric Series, London: Cambridge University Press, 1904.
13.
Shilov, G. E.An introduction to the theory of linear spaces. Englewood Cliffs, N.J.: Prentice-Hall, 1961.
14.
Sjöberg, L. and Holley, J. W.A measure of similarity between individuals when scoring directions of variables are arbitrary. Multivariate Behavioral Research, 1967, 2, 377-384.
15.
Spearman, C.The proof and measurement of association between two things. American Journal of Psychology , 1904, 15, 72-101.
16.
Tschuprow, A. A.Grundbegriffe and Grundprobleme der Korrelationstheorie. Leipzig: Teubner, 1925.
17.
Tschuprow, A. A.Principles of the mathematical theory of correlation. New York: William Hodge, 1939.
18.
Vegelius, J.Correlation coeffilcients as scalar products in Euclidean spaces. Uppsala: University of Uppsala, Department of Psychology, 1973 (Report 145).
19.
Vegelius, J.On generalizations of the G index . EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1976, 36, 595-600. (a)
20.
Vegelius, J.On various G index generalizations and their applicability within the clinical domain. Studia psychologica Uppsaliensia4, Uppsala: Acta Universitatis Uppsaliensis, 1976. In press. (b)
21.
Vegelius, J.A vector-algebra based definition of the correlation coefficient concept. Uppsala: University of Uppsala, Department of Psychology, 1977 (Duplic.) (a)
22.
Vegelius, J.An ordinal scale generalization of the G index invariant over item reflection. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1977, 37, 31-35. (b)
23.
Vegelius, J.The problem of varying scales for G index generalizations. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1977, 37, 279-282. (c)
24.
Vegelius, On the weighted G index. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1977, 37, 839-842. (d)
25.
Vegelius, J. and Jonsson, H.An application of a discriminant analysis based on the weighted H index. Scandinavian Journal of Psychology, 1976, 17, 251-252.
26.
Vegelius, J. and Jonsson, H.On weighted G analysis. Multivariate Behavioral Research, 1977, 12, 243-254.
27.
Yule, G. V.On the methods of measuring the association between two attributes. J. Roy. Stat. Soc., 1912, 75, 576-642.
28.
Yule, G. V. and Kendall, M. G.An introduction to the theory of statistics. London: Charles Griffin, 1953 (14th ed.)
