응용통계연구 (The Korean Journal of Applied Statistics)

  • 제22권5호
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  • Pages.1047-1057
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  • 2009
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  • 1225-066X(pISSN)
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  • 2383-5818(eISSN)
한국통계학회 (The Korean Statistical Society)
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A Nonparametric Multivariate Test for a Monotone Trend among k Samples

  • Hyun, Noo-Rie (Department of Biostatistics, Medical College, The Catholic University of Korea) ;
  • Song, Hae-Hiang (Department of Biostatistics, Medical College, The Catholic University of Korea)
  • 발행 : 2009.10.31
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초록

The nonparametric bivariate two-sample test of Bennett (1967) is extended to the multivariate k sample test. This test has been easily modified for a monotone trend among k samples. Often in applications it is important to consider a set of multivariate response variables simultaneously, rather than individually, and also important to consider testing k samples altogether. Different approaches of estimating the null covariance matrices of the test statistics resulted in the same limiting form. The multivariate k sample test is applied to the non-normal data of a randomized trial conducted for a period of four weeks in mental hospitals. The purpose of the trial is to compare the efficacy of three different interventions for a relief of the frequently occurring problems of constipation, caused as a side effect of antipsychotic drugs during hospitalization. The bowel movement status of patient for a week is summarized into a single severity score, and severity scores of four weeks comprise a four-dimensional multivariate variable. It is desirable with this trial data to consider a multivariate testing among k samples.

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참고문헌

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