TY - JOUR
T1 - On a class of partially balanced incomplete block designs with applications in survey sampling
AU - See, Kyoungah
AU - Song, Sung Y.
AU - Stufken, John
N1 - Funding Information:
* Research supported by NSF grant DMS 9504882
PY - 1997
Y1 - 1997
N2 - We revisit the existence and construction problems of balanced sampling plans excluding contiguous units, a class of designs introduced and studied by Hedayat, Rao, and Stufken (1988a,b). A link between these designs and a class of partially balanced incomplete block designs is established, and a Fisher-type inequality is shown to hold. Special attention is given to those designs that attain equality in this Fisher-type inequality. Some new designs are obtained by construction, while the nonexistence of designs is considered for some other sets of parameters.
AB - We revisit the existence and construction problems of balanced sampling plans excluding contiguous units, a class of designs introduced and studied by Hedayat, Rao, and Stufken (1988a,b). A link between these designs and a class of partially balanced incomplete block designs is established, and a Fisher-type inequality is shown to hold. Special attention is given to those designs that attain equality in this Fisher-type inequality. Some new designs are obtained by construction, while the nonexistence of designs is considered for some other sets of parameters.
KW - Association schemes
KW - Balanced incomplete block designs
KW - Balanced sampling plan excluding contiguous units
KW - Symmetric partially balanced incomplete block designs
UR - http://www.scopus.com/inward/record.url?scp=0031386216&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031386216&partnerID=8YFLogxK
U2 - 10.1080/03610929708831898
DO - 10.1080/03610929708831898
M3 - Article
AN - SCOPUS:0031386216
SN - 0361-0926
VL - 26
SP - 1
EP - 13
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 1
ER -