Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Rank Tests for Multivariate Linear Models in the Presence of Missing Data

  • Lee, Jae-Won (Department of Statistics, Korea University, Seoul 136-701) ;
  • David M. Reboussin (Department of Public Health Sciences, Bowman Gray School of Medicine, Winston Salem, NC 27157, USA)
  • Published : 1997.09.01
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Abstract

The application of multivariate linear rank statistics to data with item nonresponse is considered. Only a modest extension of the complete data techniques is required when the missing data may be thought of as a random sample, and an appropriate modification of the covariances is derived. A proof of the asymptotic multivariate normality is given. A review of some related results in the literature is presented and applications including longitudinal and repeated measures designs are discussed.

Keywords

References

  1. Annals of Internal medicine v.99 Intermittent positive pressure breathing therapy of chronic obstructive pulmonary disease I. P. P. B. Group
  2. Statistics in Medicine v.1 A distribution free test for paired growth curve analyses with application to an animal tumor immunotherapy experiment Koziol, J. A.;Maxwell, D. A.
  3. Biometrics v.37 A distribution free test for tumor-growth curve analyses with application to an animal tumor immunotherapy experiment Koziol, J. A.;Maxwell, D. A.;Fukushima, M.;Colmerauer, M. E.M.;Pilch, Y.H.
  4. Biometrika v.70 Discrete sequential boundaries for clinical trials Lan, G. K. K.;DeMets, D. L.
  5. Journal of the American Statistical Association v.87 Sequential rank tests with repeated measurements in clinical trials Lee, J. W.;DeMets, D. L.
  6. Nonparametric Methods in General Linear Models Puri, M. L.;Sen, P. K.
  7. Introduction to the theory of nonparametric statistics Randles, R. H.;Wolfe, D. A.
  8. Ph.D. dissertation, Department of Statistics, University of Wisconsin-Madison Exact Inference for Multivariate Linear Rank Statistics on Complete and Incomplete Data Reboussin, D. M.
  9. Applied Statistics v.33 Multivariate normal probabilities with error bound(with corrections in 1985) Schervish, M. J.
  10. Sankhya Series A v.49 Missing variables in multi-sample rank permutation tests for MANOVA and MANOCOVA Servy, E. C.;Sen, P. K.