37
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Comparing three partitions: an inferential approach based on multi-way contingency tables

Pages 2457-2471 | Received 01 Nov 1995, Published online: 27 Jun 2007

References

  • Agresti , A. 1992 . A survey of exact inference for contingency tables . Statistical Science , 7 : 131 – 177 .
  • Brennan , R. L. and Light , R. J. 1974 . Measuring agreement when two observers classify people into categories not defined in advance . British Journal of Mathematical and Statistical Psychology , 27 : 154 – 163 .
  • Brook , R. J. and Stirling , W. D. 1984 . Agreement between observers when the categories are not specified in advance . British Journal of Mathematical and Statistical Psychology, , 37 : 271 – 282 .
  • Fowlkes , E. B. and Mallows , C. L. 1983 . A method for comparing two hierarchical clustering . Journal of the American Statistical Association , 78 : 553 – 584 .
  • Goodman , L. A. and Kruskal , W. H. 1979 . Measures of Association for Cross Classifications , New York : Springer-Verlag .
  • Hubert , L. and Arabie , P. 1985 . Comparing partitions . Journal of Classification , 2 : 193 – 218 .
  • Hubert , L. and Arabie , P. 1992 . Correspondence analysis and optimal structural representations . Psychometrika , 56 : 119 – 140 .
  • Kolassa , J. and Tanner , M. A. 1994 . Approximate conditional inference in exponential families via the Gibbs sampler . Journal of the American Statistical Association , 89 : 697 – 702 .
  • Kreiner , S. 1987 . Analysis of multidimensional contingency tables by exact conditional tests: Techniques and strategies . Scandinavian Journal of Statistics , 14 : 97 – 112 .
  • Kulinskaya , E. 1994 . Large sample results for permutation tests of association . Communications in Statistics — Theory and Methods , 23 : 2939 – 2963 .
  • Lebart , L. , Morineau , A. and Warwick , K. M. 1984 . Multivariate Descriptive Statistical Analysis , New York : Wiley .
  • Mc Donald , J. W. and Smith , W. F. 1995 . Exact conditional tests of quasi independence for triangular contingency tables: estimating attained significance levels . Applied Statistics , 44 : 143 – 151 .
  • Messatfa , H. 1992 . An algorithm to maximize the agreement between partitions . Journal of Classification , 9 : 5 – 15 .
  • Mielke , P. W. and Berry , K. J. 1985 . Non-asymptotic inferences based on the chi-square statistic for r by c contingency tables . Journal of Statistical Planning and Inference , 12 : 41 – 45 .
  • Mielke , P. W. and Berry , K. J. 1988 . Cumulant methods for analysing independence of r-way contingency tables and goodness-of-fit frequency data . Biometrika , 75 : 790 – 793 .
  • Morgan , W. M. and Blumenstein , B. A. 1991 . Exact conditional tests for hierarchical models in multidimensional contingency tables . Applied Statistics , 40 : 435 – 442 .
  • Patefield , W. M. 1981 . Algorithm AS 159. An efficient method of generating random r xc tables with given row and column totals . Applied Statistics , 30 : 91 – 97 .
  • Rand , W. M. 1971 . Objective criteria for the evaluation of clustering methods . Journal of the American Statistical Association , 66 : 846 – 850 .
  • Senchaudhuri , P. , Mehta , C. R. and Patel , N. R. 1995 . Estimating exact p values by the method of control variates or Monte Carlo rescue . Journal of the American Statistical Association , 90 : 640 – 648 .
  • Stumpf , R. H. and Steyn , H. S. 1986 . Exact distributions associated with an IxJxK contingency table . Communications in Statistics — Theory and Methods , 15 : 1889 – 1904 .
  • Zelterman , D. 1987 . Goodness-of-fit tests for large sparse multinomial distributions . Journal of the American Statistical Association , 82 : 624 – 629 .
  • Zelterman , D. , Chan , I. S. F. and Mielke , P. W. 1995 . Exact tests of significance in higher dimensional tables . The American Statistician , 49 : 357 – 361 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.