Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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The Changes in x2 Statistic when a Row is Deleted from a Contingency Table

  • Lee, Heesook (Department of Engineering, Information and Communication University) ;
  • Kim, Honggie (Department of Statistics, Chungnam University)
  • Published : 2003.08.01
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Abstract

We suggest methods to measure the changes in $x^2$ statistic when a row is deleted from a two-way contingency table. The influence function is extended and the deletion method is applied. Two examples are presented and we compare the results obtained from the influence function method and the deletion method.

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References

  1. Applied Statistics v.27 The influence function as an aid in outlier detection in discriminant analysis Campbell,N.A. https://doi.org/10.2307/2347160
  2. Residuals and Influlence in Regression Cook,R.D.;Weisberg,S.
  3. Biometrika v.72 Influence in principal components analysis Critchley,F. https://doi.org/10.1093/biomet/72.3.627
  4. Theory and Applications of Correspondence Analysis Greenacre,M.J.
  5. Psychometrika v.36 Measurement as structural theory Guttman,L. https://doi.org/10.1007/BF02291362
  6. Journal of American Statistical Association v.69 The influence curve and its role in robust estimation Hampel,F. https://doi.org/10.2307/2285666
  7. Biometrika v.36 A note on the subdivision of χ² into components Irwin,J.O.
  8. Applied Statistics v.29 An exploratory technique for investigating large quantities of categorical data Kass,G. https://doi.org/10.2307/2986296
  9. Biometrics v.16 A note on the additive partitioning of chi-square in contingency tables Kastenbaum,M.A. https://doi.org/10.2307/2527692
  10. Journal of Statistical Computation and Simulation v.40 Measures of influence in correspondence analysis Kim,H. https://doi.org/10.1080/00949659208811377
  11. The Korean Journal of Applied Statistics v.7 Influence functions in multiple correspondence analysis Kim,H.
  12. The Korean Communications in Statistics v.5 A study on Cell Influences to Chi-square statistic in Contingency Tables Kim,H.
  13. The Korean Communications in Statistics v.3 Influence Functions on χ² statistic in Contingency Tables Kim,H.;Lee,H.
  14. Biometrics v.10 short-cut formulars for the exact partitioning of χ² in contingency tables Kimball,A.W. https://doi.org/10.2307/3001617
  15. Multivariate Descriptive Statistical Analysis - Correspondence analysis and related techniques for large matrices Lebart,L.;Morineau,A.;Warwick,K.M.
  16. Communications in Statistics v.A10 Influence functions for certain parameters in multivariate analysis Radhakrishnan,R.;Kshirsagar,A.M.