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G-optimal N-observation first order 2k designs

✍ Scribed by S. Kounias; M. Lefkopoulou; C. Bagiatis


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
381 KB
Volume
46
Category
Article
ISSN
0012-365X

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✦ Synopsis


The G-optimal first order (weighing) design with k factor,s and N observations is examined. It is shown that for N =-1 (rood 4), k < N -1, the G-0ritual design is also D-optimal, whenever a Hadamard matrix of order N-I exists. The same is true for the saturated designs with N=5, 13,25 It is also shown that for N----2 (rood4) the G-optimal design is obtained by adjoining t~o runs. coinciding in exactly one position, to an orthogonal design with N-2 observations


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## Abstract An example of a sequence of competing first‐order reactions, leading to a common product, has been found for the sulfodeacylation of acetylpropionylmesitylene. The basic reaction scheme is Scheme l equation image and a kinetic analysis of the component rate constants allows an estimate