Resampling permutation procedures provide good approximations to exact permutation procedures and are therefore the preferred alternative when large samples render exact tests intractable. Resampling permutation procedures are described for three measures of variation and the three corresponding measures of consensus among ordered categories.
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References
1.
BakemanR.RobinsonB. F.QueraV. (1996) Testing sequential association: Estimating exact p values using sampled permutations. Psychological Methods, 1, 4–15.
2.
BerryK. J.MielkeP. W.Jr. (1983) Moment approximations as an alternative to the F test in analysis of variance. British Journal of Mathematical and Statistical Psychology, 36, 202–206.
3.
BerryK. J.MielkeP. W.Jr. (1992a) Assessment of variation in ordinal data. Perceptual and Motor Skills, 74, 63–66.
4.
BerryK. J.MielkeP. W.Jr. (1992b) Indices of ordinal variation. Perceptual and Motor Skills, 74, 576–578.
5.
BerryK. J.MielkeP. W.Jr. (1994) A test of significance for the index of ordinal variation. Perceptual and Motor Skills, 79, 1291–1295.
6.
DaviesV. (1970) A re-examination of Leik's measure of ordinal consensus. Pacific Sociological Review, 13, 27–28.
7.
GoodP. I. (2000) Permutation tests: A practical guide to resampling methods for testing hypotheses. (2nd ed.) New York: Springer-Verlag.
8.
GoodP. I. (2001) Resampling methods: A practical guide to data analysis. (2nd ed.) Boston, MA: Birkhäuser.
9.
HolfordT. R. (2003) Editorial: Exact methods for categorical data. Statistical Methods in Medical Research, 12, 1.
10.
KvålsethT. O. (1995a) Coefficients of variation for nominal and ordinal categorical data. Perceptual and Motor Skills, 80, 843–847.
11.
KvålsethT. O. (1995b) Comment on the coefficient of ordinal variation. Perceptual and Motor Skills, 81, 621–622.
12.
LeikR. K. (1966) A measure of ordinal consensus. Pacific Sociological Review, 9, 85–90.
13.
LeikR. K. (1970) Reply to Davies. Pacific Sociological Review, 13, 29–30.
14.
LunneborgC. E. (2000) Data analysis by resampling: Concepts and applications. Pacific Grove, CA: Duxbury.
15.
MaximP. S. (1999) Quantitative research methods in the social sciences. New York: Oxford.
16.
ManlyB. F. J. (1997) Randomization, bootstrap and Monte Carlo methods in biology. (2nd ed.) London: Chapman & Hall.
17.
MielkeP. W.Jr.BerryK. J. (1994) Permutation tests for common locations among samples with unequal variances. Journal of Educational and Behavioral Statistics, 19, 217–236.
18.
MielkeP. W.Jr.BerryK. J. (2001) Permutation methods: A distance function approach. New York: Springer-Verlag.
19.
MielkeP. W.Jr.BrierG. M.GrantL. O.MulveyG. J.RosenzweigP. N. (1981) A statistical reanalysis of the replicated Climax I and II wintertime orographic cloud seeding experiments. Journal of Applied Meteorology, 20, 643–659.
20.
ReadT. R. C.CressieN. A. C. (1988) Goodness-of-fit statistics for discrete multivariate data. New York: Springer-Verlag.
