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- W1980924779 abstract "Abstract Suppose that Y = ( Y i ) is a normal random vector with mean Xb and covariance σ 2 I n , where b is a p -dimensional vector ( b j ) , X = ( X ij ) is an n × p matrix. Given a family D of D -optimal designs, a design Z in D is chosen that is robust in the sense that Z is D -optimal in D when the components Y i are dependent: for i ≠ i ′ , the covariance of Y i , Y i ′ is ρ ≠ 0 . Such designs Z merely depend on the sign of ρ . The general results are applied to the situation where X ij ∈ { - 1 , 1 } ; this corresponds to a factorial design with - 1 , 1 representing low or high level, respectively, or corresponds to a weighing design with - 1 , 1 representing an object j with weight b j being placed on the left and right side of a chemical balance, respectively." @default.
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- W1980924779 date "2008-12-01" @default.
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- W1980924779 title "D-optimal designs for correlated random vectors" @default.
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- W1980924779 doi "https://doi.org/10.1016/j.jspi.2008.03.012" @default.
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