Abstract
This paper is concerned with methods for systematically generating and classifying all regularly blocked versions of q -m th fractions of q n factorial designs (for q prime or a power of a prime), in the conventional sense of such designs as defined, for example, by Finney (1960, p73) or as displayed in the classic set of NBS tables (1957, 1959). Following a standard notation, we refer to these as q m-n-l designs, implying a division of the selected fraction into q l blocks each of size q n-m/q l=q n-m-l. The need for, and practical examples of such design structures can be found, for example, in Davies (1956, p465 on) or Logothetis and Wynn (1991).
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Laycock, P.J., Rowley, P.J. (2000). On Generating and Classifying All qn-m-l Regularly Blocked Factional Designs. In: Balakrishnan, N., Melas, V.B., Ermakov, S. (eds) Advances in Stochastic Simulation Methods. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1318-5_10
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DOI: https://doi.org/10.1007/978-1-4612-1318-5_10
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