<?xml version="1.0" encoding="UTF-8"?>
<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>Construction and a-Efficiency of Nested Partially Balanced
Bipartite Block Designs</dc:title>
  <dc:title>R package NPBBBdesigns version 1.0.0</dc:title>
  <dc:description>Construction and evaluation of nested partially balanced bipartite block (NPBBB) designs for comparing a set of test treatments with a set of control treatments under a nested (blocks within blocks) structure. Six systematic construction methods are provided: composing partially balanced bipartite block designs with nested balanced incomplete block designs; augmenting nested partially balanced incomplete block designs with controls; merging rows of group-divisible nested designs; direct construction from group-divisible schemes; and expansion of partially balanced incomplete block designs (Vinayaka et al. 2026: In press). The A-efficiencies of the block and sub-block classifications are computed against the A-optimal completely symmetric reference design, following the test-versus-control optimality framework of Gupta and Parsad (1996) &lt;doi:10.1080/03610929608831743&gt; and Vinayaka et al. (2024) &lt;doi:10.1080/03610926.2023.2251623&gt;. These designs are particularly suited to agricultural, animal husbandry, industrial, and clinical trials involving multiple standard checks under nested experimental conditions, such as multi-environment trials where field heterogeneity (blocks) and within-field variation (sub-blocks) must be controlled simultaneously.</dc:description>
  <dc:type>Software</dc:type>
  <dc:relation>Depends: R (&gt;= 3.5.0)</dc:relation>
  <dc:creator>Vinayaka &lt;vinayaka.b3vs@gmail.com&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Vinayaka [aut, cre] (ORCID: &lt;https://orcid.org/0000-0001-5004-0084&gt;),
  Rajender Parsad [aut, ctb],
  B.N. Mandal [aut, ctb],
  L.N. Vinaykumar [aut, ctb],
  Gopalareddy Krishnappa [aut, ctb] (ORCID:
    &lt;https://orcid.org/0000-0002-8825-6363&gt;)</dc:contributor>
  <dc:rights>GPL-3</dc:rights>
  <dc:date>2026-07-04</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=NPBBBdesigns</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.NPBBBdesigns</dc:identifier>
</oai_dc:dc>
