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SEQUENTIALLY BALANCED THREE‐SQUARES CROSS‐OVER DESIGNS
Author(s) -
NEWCOMBE ROBERT G.
Publication year - 1996
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19961030)15:20<2143::aid-sim377>3.0.co;2-d
Subject(s) - integer (computer science) , mathematics , combinatorics , statistics , carry (investment) , least squares function approximation , value (mathematics) , order (exchange) , computer science , algorithm , arithmetic , finance , estimator , economics , programming language
Many cross‐over designs with t ⩾2 treatments and periods and n = bt subjects ( b an integer⩾1) which incorporate balance for first‐order carry‐over effects are already known: single squares with any even value of t and some odd ones also; and sequentially balanced pairs of squares for any odd t ⩾3. We describe the construction of designs with b = 3, for t = 5, 7, 9,…. This permits use of sequentially balanced designs for any combination of b >1 and t , except for b = t = 3, for which no such design exists.