65
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

RAO'S STATISTIC FOR THE ANALYSIS OF UNIFORM ASSOCIATION IN CROSS-CLASSIFICATIONS

, &
Pages 2655-2681 | Received 01 Jan 2000, Published online: 15 Feb 2007

REFERENCES

  • Burbea , J. and Rao , C. R. 1982a . On the convexity of some divergence measures based on entropy functions . IEEE Transactions on Information Theory , 28 : 489 – 495 .
  • Edwards , A. W.F. 1963 . The measure of association in a 2 × 2 table . J.R. Statist. Soc. A , 126 : 109 – 114 .
  • Altham , P. M.E. 1970 . The measurement of association of rows and columns for an r × s contingency table . J.R. Statist. Soc. B , 32 : 63 – 73 .
  • Bishop , M. M. , Fienberg , S. E. and Holland , P. W. 1975 . Discrete multivariate analysis: Theory and practice Cambridge, Mass : MIT Press .
  • Andersen , E. B. 1998 . Introduction to the Statistical Analysis of Categorical Data Springer .
  • Agresti . 1984 . Analysis of Ordinal Categorical Data Wiley .
  • Goodman , L. A. and Kruskal , W. H. 1954 . Measures of association for cross-classifications . J. Amer. Stat. Assoc. , 49 : 732 – 764 .
  • Goodman , L. A. and Kruskal , W. H. 1958 . Measures of association for cross-classifications II . J. Amer. Stat. Assoc. , 54 : 123 – 163 .
  • Goodman , L. A. and Kruskal , W. H. 1963 . Measures of association for cross-classifications III: Approximate sampling theory . J. Amer. Stat. Assoc. , 58 : 310 – 364 .
  • Goodman , L. A. and Kruskal , W. H. 1972 . Measures of association for cross-classifications IV: Simplification of asymptotic variances . J. Amer. Stat. Assoc. , 67 : 415 – 421 .
  • Goodman , L. A. 1979 . Simple models for the analysis of association in cross-classifications having ordered categories . J. Amer. Stat. Assoc. , 74 ( 367 ) : 537 – 552 .
  • Goodman , L. A. 1981 . Association models and canonical correlation in the analysis of cross-classifications having ordered categories . J. Amer. Stat. Assoc. , 76 : 320 – 334 .
  • Tomizawa , S. 1991 . Shannon entropy type measure of departure from uniform association in cross-classifications having ordered categories . Statistics and Probability Letters , 11 : 547 – 550 .
  • Rao , C. R. 1982 . Diversity and dissimilarity coefficients: An unified approach . J. Theor. Pop. Biol. , 21 : 24 – 43 .
  • Burbea , J. and Rao , C. R. 1982b . On the convexity of higher order Jensen differences based on entropy functions . IEEE Transactions on Information Theory , 28 : 961 – 963 .
  • Burbea , J. 1983 . J-divergences and related topics . Encyclopedia Statist. Sci. , 44 : 290 – 296 .
  • Vajda , I. and Vasek , K. 1985 . Majorization, concave entropies and comparison of experiments . Prob. Control Inform. Theory , 14 : 105 – 115 .
  • Vajda , I. 1989 . Theory of Statistical Inference and Information Dordrecht : Kluwer Academic Publishers .
  • Pardo , M. C. and Vajda , I. 1997 . About distances of discrete distributions satisfying the data processing theorem of information theory . IEEE Transactions on Information Theory , 43 ( 4 ) : 1288 – 1293 .
  • Pardo , M. C. 1999 . On Burbea-Rao divergences based goodness-of-fit tests for multinomial models . Journal of Multivariate Analysis , 69 : 65 – 87 .
  • Havrda , M. E. and Charvat , F. 1975 . Quantification method of classification processes: Concept of structural α-entropy . Kybernetika , 3 : 30 – 35 .
  • Kapur , J. N. 1972 . Measures of uncertainty, mathematical programming and physics . J. Ind. Soc. Agricultural Statist. , 24 : 47 – 66 .
  • Grizzle , J. E. , Starner , C. F. and Koch , G. G. 1969 . Analysis of categorical data by linear models . Biometrics , 25 : 489 – 504 .
  • Fisher , R. A. 1940 . The precision of discriminant functions . Annals of Eugenics , 10 : 422 – 429 . London
  • Maung , K. 1941 . Measurement of association in a contingency table with special reference to pigmentation of hair and eye colour of Scottish School children . Annals of Eugenics , 11 : 189 – 205 . London
  • Dik , J. J. and Gunst , M. C.M. 1985 . The distribution of general quadratic forms in normal variables . Statistica Neerlandica , 39 : 14 – 26 .
  • Rao , J. N.K. and Scott , A. J. 1981 . The analysis of categorical data from complex data surveys: Chi-squared tests for goodness-of-fit and independence in two-way table . J. Amer. Stat. Assoc. , 76 : 221 – 230 .
  • Modarres , R. and Jernigan , R. W. 1992 . Testing the equality of correlation matrices . Comm. Statist. Theory and Methods , 21 ( 8 ) : 2107 – 2125 .
  • Kuonen , D. 1999 . Saddlepoint approximations for distributions of quadratic forms in normal variables . Biometrika , 86 : 929 – 935 .
  • Satterthwaite , F. E. 1946 . An approximate distribution of estimates of variance components . Biometrics , 2 : 110 – 114 .
  • Dale , J. R. 1986 . Asymptotic normality of goodness-of-fit statistics for sparse product multinomial . Journal of the Royal Statistics Society, Series B , 41 : 48 – 59 .

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.