55
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

A general rank based approach to the analysis of block data

&
Pages 197-215 | Received 01 Jan 1998, Published online: 16 Feb 2011

References

  • Alvo , M. and Cabilio , P. 1985 . Average rank correlation in the presence of ties . Communications in Statistics: Theory and Methods , 14 : 2095 – 2108 .
  • Alvo , M. and Cabilio , P. 1991 . On the balanced incomplete block design for rankings . Annals of Statistics , 19 : 1597 – 1613 .
  • Alvo , M. and Cabilio , P. 1995 . Approximate and exact distributions of rank tests for balanced incomplete block designs . Communications in Statistics Theory and Methods , 24 : 3073 – 3121 .
  • Alvo , M. and Cabilio , P. 1996 . Analysis of incomplete blocks for rankings . Statistics and Probability Letters , 29 : 177 – 184 .
  • Alvo , M. and Cabilio , P. 1997 . “ Compatibility and the analysis of block data based on rankings ” . In Technical Report # 311 , Ottawa , ON : University of Ottawa and Carlcton University Laboratory for Research in Statistics and Probability .
  • Alvo , M. and Cabilio , P. 1998 . “ Applications of Hamming Distance to the Analysis of Block Designs ” . In Asymptotic Methods in Probability and Statistics , Edited by: Szyszkowicz , B. Elsevier Science .
  • Alvo , M. , Cabilio , P. and Feigin , P. 1982 . Asymptotic theory for measures of concordance with special reference to Kendall's tail . Annals of Statistics , 10 : 1269 – 1276 .
  • Benard , A. and Van Elteren , P. 1953 . A generalization of the method of rankings . Indagationes Mathernalicae , 15 : 358 – 369 .
  • Brunden , M.N. and Mohberg , N.K. 1976 . The Benard-Van Elteren statistic and nonparametric computation . Communications in Statistics Simulation and Computation , 4 : 155 – 162 .
  • Critchlow , D.E. 1985 . Metric Methods for Analyzing Partially Ranked Data , New York : Springer-Verlag .
  • Durbin , J. 1951 . Incomplete blocks in ranking experiments . British Journal of Psychology , 4 : 85 – 90 .
  • Friedman , M. 1937 . The use of ranks to avoid the assumption of normality implicit in the analysis of variance . Journal of the American Statistical Association , 32 : 675 – 701 .
  • Graybill , F.A. 1976 . Theory and Application of the Linear Model , Duxbury Press .
  • Jensen , D.R. and Solomon , H. 1972 . A Gaussian approximation to the distribution of a definite quadratic form . Journal of the American Statistical Association , 67 : 898 – 902 .
  • John , J.A. and Williams , E.R. 1995 . Cyclic Designs , New York : Chapman Hall .
  • Kendall , M.G. and Gibbons , J.D. 1990 . Rank Correlation Methods , London : Edward Arnold .
  • Lehmann , E.L. 1975 . Nonparametrics , New York : McGraw-Hill .
  • Marden , J.I. 1995 . Analyzing and Modeling Rank Data , New York : Chapman Hall .
  • Prontice , M.J. 1979 . On the problem of min complete rankings . Biometrica , 66 : 167 – 170 .
  • Quadc , D. 1984 . “ Nonparamctric methods in two way layouts ” . In Handbook of Statistics , Edited by: Krishnaiah , P.R. and Sen , P.K. Vol. 4 , 185 – 228 . Elsevier Science .
  • Skillings , J.H. and Mack , G.A. 1981 . On the use of a Friedman-type statistic in balanced and unbalanced block designs . Technometrics , 23 : 171 – 177 .
  • Searle , S.R. 1987 . Linear models for Unbalanced Data , New York : wilcy .
  • Worrnleightom , R. 1959 . Some tests oi permutation symmetry . Annais of Mathematical Statistics , 30 : 1005 – 1017 .

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.