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Distribution-free tests for independence against positive quadrant dependence: A generalization

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Abstract

A class of distribution-free tests based on two matched pairs is considered for testing independence against positive quadrant dependence. The class of tests proposed by Kochar and Gupta (1990) is a member of the proposed class. The performance of the proposed class is evaluated in terms of Pitman asymptotic relative efficiency for Block-Basu (1974) model and Woodworth family of distributions. The small sample performance of few members of the proposed class is also studied by finding empirical powers. Unbiasedness and consistency of the proposed class of tests have been established.

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Authors and Affiliations

  1. Department of Statistics, Karnatak University, 580 003, Dharwad, India

    I. D. Shetty

  2. Department of Statistics, Karnatak College, 580 001, Dharwad, India

    Parameshwar V. Pandit

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  1. I. D. Shetty
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  2. Parameshwar V. Pandit
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Shetty, I.D., Pandit, P.V. Distribution-free tests for independence against positive quadrant dependence: A generalization. Statistical Methods & Applications 12, 5–17 (2003). https://doi.org/10.1007/BF02511580

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