Necessary Conditions for the Existence of some Incomplete Block Designs.

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Abstract:

A development of nonexistence proofs of certain balanced incomplete block designs is presented which leads to simplifications of some of the necessary conditions for symmetrical balanced incomplete block designs SBIBD. The unified approach of using properties of the integer matrices in determining necessary conditions for SBIBDs has been extended to intra- and inter-group balanced incomplete block designs which were defined by Nair and Bose. Author

Author(s):
Benton, Alan W.
Author Organization(s):
ARMY MATERIEL SYSTEMS ANALYSIS ACTIVITY ABERDEEN PROVING GROUND MD
Descriptive Note:
Technical rept.,
Pagination:
0023

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AMSAA-TR-162
Project Number(s):
DA-1-R-765706-M-541
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*MATHEMATICAL MODELS, *EXPERIMENTAL DESIGN, *MATRICES(MATHEMATICS), INVARIANCE, HILBERT SPACE, GROUP DISPLAYS
Field(s)/Group(s):
Statistics and Probability, Test Facilities, Equipment and Methods
Keyword(s):
Incomplete block designs, *Block designs, Hasse Minkowski invariant
Report Date:
1976 May 01