Abstract
In this paper the problem of finding the design efficiency is considered when a single observation is unavailable in a connected binary block design. The explicit expression of efficiency is found for the resulting design when the original design is a balanced incomplete block design or a group divisible, singular or semiregular or regular with λ1>0, design. The efficiency does not depend on the position of the unavailable observation. For a regular group divisible design with λ1>0, the efficiency depends on the position of the unavailable observation. The bounds, both lower and upper, on the efficiency are given in this situation. The efficiencies of designs resulting from a balanced incomplete block design and a group divisible design are in fact high when a single observation is unavailable.
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The work of the first author is sponsored by the Air Force Office of Scientific Research under Grant AFOSR-90-0092.
On leave from Indian Statistical Institute, Calcutta, India. The work of the third author was supported by a grant from the CMDS, Indian Institute of Management, Calcutta.
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Ghosh, S., Kageyama, S. & Mukerjee, R. Efficiency of connected binary block designs when a single observation is unavailable. Ann Inst Stat Math 44, 593–603 (1992). https://doi.org/10.1007/BF00050708
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DOI: https://doi.org/10.1007/BF00050708