Communication in Statistics- Theory and Methods · 1997 · 27 citations · 5 references
Public HealthDesignDesign OptimizationExperimental DesignSurveyingCompletely Randomized DesignsSampling DesignSampling MethodsSampling TechniquesSampling TheorySurvey SamplingBalanced Incomplete Block DesignBlock DesignsConstruction ProblemsIncomplete Block DesignPartially Balanced Incomplete Block Design
Abstract 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. Keywords: association schemesbalanced incomplete block designsbalanced sampling plan excluding contiguous unitsymmetric partially balanced incomplete block designs ∗Research supported by NSF grant DMS 9504882 ∗Research supported by NSF grant DMS 9504882 Notes ∗Research supported by NSF grant DMS 9504882
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