Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Design of Order-of-Addition Experiments   In an order-of-addition experiment, each treatment is a permutation of m
components. It is often unaffordable to test all the m! treatments, and the
design problem arises. We consider a model that incorporates the order of each
pair of components and can also account for the distance between the two
components in every such pair. Under this model, the optimality of the uniform
design measure is established, via the approximate theory, for a broad range of
criteria. Coupled with an eigen-analysis, this result serves as a benchmark
that paves the way for assessing the efficiency and robustness of any exact
design. The closed-form construction of a class of robust optimal fractional
designs is then explored and illustrated.

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The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg