This page gives affine resolvable block designs with minimum PV aberration for r replicates of v treatments in blocks of size k. An affine resolvable design is a resolvable incomplete block design for which any two blocks from distinct replicates intersect in the same number of treatments. Amongst all resolvable designs with given (v,r,k), any affine resolvable design is Schur-optimal in terms of canonical variances. Thus affine resolvable designs are A-optimal, D-optimal, E-optimal, etc; they are the preferred resolvable designs for statistical experiments whenever available. However, nonisomorphic affine resolvable designs for the same (v,r,k) can differ in how they estimate the pairwise treatment contrasts. This catalog provides the best affine resolvable designs in terms of the pairwise variances. Amongst all affine resolvable designs for given (v,r,k), a design with minimum PV aberration is MV-optimal and more (see the paper Optimal resolvable designs with minimum PV aberration). Among the broad conclusions that can be drawn is: the designs cataloged here are best for estimation of pairwise treatment contrasts amongst all resolvable designs that are A-optimal for the same (v,r,k). All such designs currently known for v<=200 and r<=23 are included. For v<=20, all combinations (v,r,k) for which an affine resolvable design exists have been covered.
The lists of designs are in DTRS external representation protocol version 2.0 format, compressed by bzip2. Each file has content types i, c, and s, which mean that the design in that file has, respectively, <indicators>, <combinatorial_properties>, and <statistical_properties> subtrees. For v<=32 each file also has content type g, meaning that the <automorphism_group> subtree is included. Every file includes the unique resolution of the design it contains. New solutions, for (v,r,k) combinations not currently covered, are welcome and will be added to the catalog.
This page constructed with support from the U.S. National Science Foundation.
Number of files = 523
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| 4 | 2 | 2 | 4 | i c g s | 1 | download |
| 4 | 3 | 2 | 6 | i c g s | 1 | download |
| 8 | 2 | 4 | 4 | i c g s | 1 | download |
| 8 | 3 | 4 | 6 | i c g s | 1 | download |
| 8 | 4 | 4 | 8 | i c g s | 1 | download |
| 8 | 5 | 4 | 10 | i c g s | 1 | download |
| 8 | 6 | 4 | 12 | i c g s | 1 | download |
| 8 | 7 | 4 | 14 | i c g s | 1 | download |
| 9 | 2 | 3 | 6 | i c g s | 1 | download |
| 9 | 3 | 3 | 9 | i c g s | 1 | download |
| 9 | 4 | 3 | 12 | i c g s | 1 | download |
| 12 | 2 | 6 | 4 | i c g s | 1 | download |
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| 12 | 3 | 6 | 6 | i c g s | 1 | download |
| 12 | 4 | 6 | 8 | i c g s | 1 | download |
| 12 | 5 | 6 | 10 | i c g s | 1 | download |
| 12 | 6 | 6 | 12 | i c g s | 1 | download |
| 12 | 7 | 6 | 14 | i c g s | 1 | download |
| 12 | 8 | 6 | 16 | i c g s | 1 | download |
| 12 | 9 | 6 | 18 | i c g s | 1 | download |
| 12 | 10 | 6 | 20 | i c g s | 1 | download |
| 12 | 11 | 6 | 22 | i c g s | 1 | download |
| 16 | 2 | 4 | 8 | i c g s | 1 | download |
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| 16 | 3 | 4 | 12 | i c g s | 1 | download |
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| 16 | 3 | 8 | 6 | i c g s | 1 | download |
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| 16 | 4 | 8 | 8 | i c g s | 1 | download |
| 16 | 5 | 4 | 20 | i c g s | 1 | download |
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| 16 | 9 | 8 | 18 | i c g s | 1 | download |
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| 16 | 12 | 8 | 24 | i c g s | 1 | download |
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| 16 | 13 | 8 | 26 | i c g s | 1 | download |
| 16 | 14 | 8 | 28 | i c g s | 1 | download |
| 16 | 15 | 8 | 30 | i c g s | 1 | download |
| 18 | 2 | 6 | 6 | i c g s | 1 | download |
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| 20 | 5 | 10 | 10 | i c g s | 1 | download |
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| 20 | 7 | 10 | 14 | i c g s | 1 | download |
| 20 | 8 | 10 | 16 | i c g s | 1 | download |
| 20 | 9 | 10 | 18 | i c g s | 1 | download |
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| 20 | 12 | 10 | 24 | i c g s | 1 | download |
| 20 | 13 | 10 | 26 | i c g s | 1 | download |
| 20 | 14 | 10 | 28 | i c g s | 1 | download |
| 20 | 15 | 10 | 30 | i c g s | 1 | download |
| 20 | 16 | 10 | 32 | i c g s | 1 | download |
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| 20 | 17 | 10 | 34 | i c g s | 1 | download |
| 20 | 18 | 10 | 36 | i c g s | 1 | download |
| 20 | 19 | 10 | 38 | i c g s | 1 | download |
| 24 | 2 | 12 | 4 | i c g s | 1 | download |
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| 24 | 22 | 12 | 44 | i c g s | 1 | download |
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| 27 | 11 | 9 | 33 | i c g s | 1 | download |
| 27 | 12 | 9 | 36 | i c g s | 1 | download |
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| 27 | 13 | 9 | 39 | i c g s | 1 | download |
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| 48 | 2 | 12 | 8 | i c s | 1 | download |
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| 48 | 4 | 12 | 16 | i c s | 1 | download |
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| 48 | 5 | 12 | 20 | i c s | 1 | download |
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| 49 | 2 | 7 | 14 | i c s | 1 | download |
| 49 | 3 | 7 | 21 | i c s | 1 | download |
| 49 | 4 | 7 | 28 | i c s | 1 | download |
| 49 | 5 | 7 | 35 | i c s | 1 | download |
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| 49 | 6 | 7 | 42 | i c s | 1 | download |
| 49 | 7 | 7 | 49 | i c s | 1 | download |
| 49 | 8 | 7 | 56 | i c s | 1 | download |
| 50 | 2 | 10 | 10 | i c s | 1 | download |
| 50 | 3 | 10 | 15 | i c s | 1 | download |
| 50 | 4 | 10 | 20 | i c s | 1 | download |
| 50 | 5 | 10 | 25 | i c s | 1 | download |
| 50 | 6 | 10 | 30 | i c s | 1 | download |
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| 54 | 2 | 18 | 6 | i c s | 1 | download |
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| 64 | 5 | 16 | 20 | i c s | 1 | download |
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| 64 | 6 | 8 | 48 | i c s | 1 | download |
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| 68 | 5 | 34 | 10 | i c s | 1 | download |
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| 72 | 3 | 12 | 18 | i c s | 1 | download |
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| 75 | 4 | 15 | 20 | i c s | 1 | download |
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Last updated: 2009-01-23 21:03:57.392481