A measure of variation for ordered categories is introduced. The Index of Qualitative Variation is corrected and extended to yield a measure of variation for ordered categories, such as might result from agreement/disagreement responses on a Liken scale.
AgrestiA.AgrestiB. (1978) Statistical analysis of qualitative variation. In SchuesslerK. F. (Ed.), Sociological methodology, 1978. San Francisco, CA: Jossey-Bass. Pp. 204–237.
3.
DaviesV. (1970) A re-examination of Leik's measure of ordinal consensus. Pacific Sociological Review, 13, 27–28.
4.
HammondK. R.HouseholderJ. E. (1962) Introduction to the statistical method. New York: Knopf.
5.
HawkesR. K. (1971) The multivariate analysis of ordinal measures. American Journal of Sociology, 76, 908–926.
6.
KvålsethT. O. (1989a) Nominal versus ordinal variation. Perceptual and Motor Skills, 69, 234.
7.
KvålsethT. O. (1989b) Odds measure of qualitative variation. Perceptual and Motor Skills, 68, 830.
8.
KvålsethT. O. (1989c) Range measure of qualitative variation. Perceptual and Motor Skills, 68, 1282.
9.
KvålsethT. O. (1991) Statistical inference for the odds measure of qualitative variation. Perceptual and Motor Skills, 72, 115–118.
10.
LehmanR. S. (1991) Statistics and research design in the behavioral sciences. Belmont, CA: Wads-worth.
11.
LeikR. K. (1966) A measure of ordinal consensus. Pacific Sociological Review, 9, 85–90.
12.
LeikR. K. (1970) Reply to Davies. Pacific Sociological Review, 13, 29–30.
13.
LiebersonS. (1969) Measuring population diversity. American Sociological Review, 34, 850–862.
14.
LoetherH. J.McTavishD. G. (1988) Descriptive and inferential studies. (3rd ed.) Boston, MA: Allyn & Bacon.
15.
MorrisR. N. (1970) Multiple correlation and ordinally scaled data. Social forces, 48, 299–311.
16.
MuellerJ. H.SchuesslerK. F.CostnerH. L. (1977) Statistical reasoning in sociology (3rd ed.) Boston, MA: Houghton Mifflin.
17.
SchaferW. D. (1980) Assessment of dispersion in categorical data. Educational and Psychological Measurement, 40, 879–883.
18.
SimpsonE. H. (1949) Measurement of diversity. Nature, 163, 688.
19.
WrightS. E. (1986) Social science statistics. Boston, MA: Allyn & Bacon.
