The possibility of using a Q-analysis also for nominal data is discussed. The J-index is suggested as a suitable measure of similarity between the persons in this case. An example is given where ten persons should sort sixteen playing cards into as many groups as they wished. A Q-analysis was made on these data giving a natural two-dimensional structure.
References
1.
Cattell, R. B.The three basic factor-analytic research designs-their interrelations and derivatives . Psychological Bulletin, 1952, 49, 499-520.
2.
Cohen, J.rc: A profile similarity coefficient invariant over variable reflection . Psychological Bulletin, 1969, 71, 281-284.
3.
Dixon, W. J. (Ed.) Biomedical Computer program. Berkeley: University of California Press, 1973.
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.
Janson, S. and Vegelius, J.On the applicability of truncated component analysis based on correlation coefficients for nominal scales. Applied Psychological Measurement, 1978, 2, 135-145.
6.
Janson, S. and Vegelius, J.On generalizations of the G index and the phi coefficient to nominal scales. Multivariate Behavioral Research, 1979, 14, 255-269.
7.
Kendall, M. G.Rank correlation methods. London: Charles Griffin, 1948.
8.
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.
Thomson, G. H.On complete families of correlation coefficients, and their tendency to zero tetrad-differences: Including a statement of the sampling theory of abilities . British Journal of Psychology, 1935, 26, 63-92.
12.
Vegelius, J.On generalizations of the G index , Educational and Psychological Measurement, 1976, 36, 595-600. (a)
13.
Vegelius, J.On various G index generalizations and their applicability within the clinical domain. Studia Psychologica Upsaliensia 4, Uppsala: Acta Universitatis Upsaliensis,1976. (b)
14.
Vegelius, J.An ordinal scale generalization of the G index invariant over item reflection . Educational and Psychological Measurement, 1977, 37, 31-35. (a)
15.
Vegelius, J.The problem of varying scales for G index generalizations . Educational and Psychological Measurement, 1977, 37, 279-282. (b)
16.
Vegelius, J.On the weighted G index . Educational and Psychological Measurement, 1977, 37, 839-842. (c)
17.
Vegelius, J.On the utility of the E-correlation coefficient concept in psychological research . Educational and Psychological Measurement, 1978, 38, 605-611. (a)
18.
Vegelius, J.CONTIN, a FORTRAN IV program for nominal scale correlation coefficients . Educational and Psychological Measurement, 1978, 38, 841-844. (b)
19.
Vegelius, J.A G index generalization for trichotomized data . Educational and Psychological Measurement, 1979, 39, 23-27. (a)
20.
Vegelius, J.On the item orthogonality assumption of the G index and other person similarity measures . Educational and Psychological Measurement, 1979, 39, 593-597. (b)
21.
Vegelius, J.Is the G index a correlation coefficient?Educational and Psychological Measurement, 1980, 40, 349-352. III
