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Testing in nonparametric ANCOVA model based on ridit reliability functional

Author

Listed:
  • Debajit Chatterjee

    (Maulana Azad College)

  • Uttam Bandyopadhyay

    (University of Calcutta)

Abstract

In the spirit of Bross (Biometrics 14:18–38, 1958), this paper considers ridit reliability functionals to develop test procedures for the equality of $$K(>2)$$ K ( > 2 ) treatment effects in nonparametric analysis of covariance (ANCOVA) model with d covariates based on two different methods. The procedures are asymptotically distribution free and are not based on the assumption that the distribution functions (d.f.’s) of the response variable and the associated covariates are continuous. By means of simulation study, the proposed methods are compared with the methods provided by Tsangari and Akritas (J Multivar Anal 88:298–319, 2004) and Bathke and Brunner (Recent advances and trends in nonparametric statistics, Elsevier, Amsterdam, 2003) under ANCOVA in terms of type I error rate and power.

Suggested Citation

  • Debajit Chatterjee & Uttam Bandyopadhyay, 2019. "Testing in nonparametric ANCOVA model based on ridit reliability functional," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 71(2), pages 327-364, April.
    • Handle: RePEc:spr:aistmt:v:71:y:2019:i:2:d:10.1007_s10463-017-0643-8
    DOI: 10.1007/s10463-017-0643-8
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    References listed on IDEAS

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    4. Tsangari, Haritini & Akritas, Michael G., 2004. "Nonparametric ANCOVA with two and three covariates," Journal of Multivariate Analysis, Elsevier, vol. 88(2), pages 298-319, February.
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