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Random Pooling Designs Under Various Structures

Author

Listed:
  • F.K. Hwang

    (National Chiao Tung University)

  • Y.C. Liu

    (National Chiao Tung University)

Abstract

Balding et al. (1995) showed that randomizing over the k-set space yields much better pooling designs than the random pooling design without the k-restriction. A natural question arises as to whether a smaller subspace, i.e., a space with more structure, will yield even better results. We take the random subset containment design recently proposed by Macula, which randomizes over a subspace of the k-set space, as our guinea pig to compare with the k-set space. Unfortunately the performance of the subset containment design is hard to analyze and only approximations are given. For a set of parameters, we are able to produce either an exact analysis or very good approximations. The comparisons under these parameters seem to favor the k-set space.

Suggested Citation

  • F.K. Hwang & Y.C. Liu, 2003. "Random Pooling Designs Under Various Structures," Journal of Combinatorial Optimization, Springer, vol. 7(4), pages 339-352, December.
    • Handle: RePEc:spr:jcomop:v:7:y:2003:i:4:d:10.1023_b:joco.0000017382.83399.0b
    DOI: 10.1023/B:JOCO.0000017382.83399.0b
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