New light on fractional 2m factorial designs |
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| Institution: | 1. Department of Pathology and Laboratory Medicine, David Geffen School of Medicine at University of California Los Angeles, CA 90095, USA;2. UCLA Clinical Genomics Center, Los Angeles, CA 90095, USA;3. Division of Metabolic Disorders, CHOC Children''s, Orange, CA 92868, USA;4. Department of Developmental and Cellular Biology, School of Biological Sciences, University of California Irvine, Irvine, CA 92697, USA;5. Department of Pediatrics, David Geffen School of Medicine at University of California Los Angeles, CA 90095, USA;6. Department of Human Genetics, David Geffen School of Medicine at University of California Los Angeles, CA 90095, USA;7. Department of Pediatrics, University of California Irvine, Orange, CA 92868, USA |
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| Abstract: | New fractional 2m factorial designs obtained by assigning factors to fractions of m columns of new saturated two symbol orthogonal arrays which are not isomorphic to the usual ones are proposed. Contrary to the usual assignment, examples show that some main effects are not totally but partially confounded with several two-factor interactions. Moreover, the recovery of the former from such partial confounding is possible in some cases by eliminating the latter. |
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