Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Tests to Detect Changes in Micro-Flora Composition;

  • Kim, Donguk (Department of Statistics, Sungkyunkwan University) ;
  • Yang, Mark C.K. (Department of Statistics, University of Florida, USA)
  • Published : 2003.04.01
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Abstract

Good's lambda test, a permutation test used to detect the changes of microorganism composition under two pathological conditions, has been quite popular for studying the micro-flora responsible for periodontal disease. A vast number of different micro-flora in the mouth renders the traditional chi-square test inapplicable. The main purpose of this paper is to evaluate the power of this test so that the sample size can be determined at the design stage. The robustness of this test and its comparison to two other intuitive tests are also presented. It is found that a permutation test based on likelihood ratio is more powerful than the lambda test in our simulated cases.

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References

  1. Journal of Animal Ecology v.12 The relation between the number of species and the number of individuals in a random sample of an animal population Fisher, R. A.;Corbet, A. S.;Williams, C. B. https://doi.org/10.2307/1411
  2. Journal of Statistical Computation and Simulation v.15 An index of separateness of clusters and a permutation test for its statistical significance Good, I. J. https://doi.org/10.1080/00949658208810568
  3. Permutation tests Good, P.
  4. Annals of Mathematical Statistics v.23 The large-sample power of tests based on permutations of observations Hoeffding, W. https://doi.org/10.1214/aoms/1177729436
  5. Continuous univariate distribution-1 Johnson, N. L.;Kotz, S.
  6. Communications of the ACM v.31 Efficient and portable combined random number generators L'Ecuyer, P. https://doi.org/10.1145/62959.62969
  7. Infection and Immunity v.38 Bacteriology of experimental gingivitis in young adult humans Moore, W. E. C.;Holdeman, L. V.;Smibert, R. M.;Good, I. J.;Burmeister, J. A.;Palcanis, K. G.;Ranney, R. R.
  8. Journal of Clinical Periodontology v.18 The microflora of periodontal sites showing active destructive progression Moore, W. E. C.;Moore, L. H.;Ranney, R. R.;Smibert, R. M.;Burmeister, J. A.;Schenkein, H. A. https://doi.org/10.1111/j.1600-051X.1991.tb00064.x
  9. J. Dental Research v.60 Patterns of subgingival microbial colonization Socransky, S. S.;Tanner, A. C. R.;Goodson, J. M.