THE EXPECTED NUMBERS OF UNRESOLVED POSITIVE CLONES FOR VARIOUS RANDOM POOL DESIGNS
Probability in the Engineering and Informational Sciences
A GENERAL APPROACH TO COMPUTE THE PROBABILITIES OF UNRESOLVED CLONES IN RANDOM POOLING DESIGNS
Probability in the Engineering and Informational Sciences
Combinatorial pair testing: distinguishing workers from slackers
WADS'13 Proceedings of the 13th international conference on Algorithms and Data Structures
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Random k-set pool designs are known to be efficient but suffer the presence of clones having identical test sets (hence indistinguishable). We propose a random pool design with distinct k-sets. We give an algorithm to generate the design and compute the expected numbers of unresolved negatives and unresolved positives. We show a relation between the two numbers which holds also for other random designs; hence, it can be used to obtain their expected numbers of unresolved positives which are not known. Among these other random designs, the random size-k design is a new design.