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  "Title": "Construction and a-Efficiency of Nested Partially Balanced\nBipartite Block Designs",
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  "Authors@R": "c(person(given = \"Vinayaka\", \nrole = c(\"aut\", \"cre\"),\nemail = \"vinayaka.b3vs@gmail.com\",\ncomment = c(ORCID = \"0000-0001-5004-0084\")),\nperson(given = \"Rajender\",\nfamily = \"Parsad\",\nrole = c(\"aut\", \"ctb\")),\nperson(given = \"B.N.\",\nfamily = \"Mandal\",\nrole = c(\"aut\", \"ctb\")),\nperson(given = \"L.N.\",\nfamily = \"Vinaykumar\",\nrole = c(\"aut\", \"ctb\")),\nperson(given = \"Gopalareddy\",\nfamily = \"Krishnappa\",\nrole = c(\"aut\", \"ctb\"),\ncomment = c(ORCID = \"0000-0002-8825-6363\")))",
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  "Description": "Construction and evaluation of nested partially balanced\nbipartite block (NPBBB) designs for comparing a set of test\ntreatments with a set of control treatments under a nested\n(blocks within blocks) structure. Six systematic construction\nmethods are provided: composing partially balanced bipartite\nblock designs with nested balanced incomplete block designs;\naugmenting nested partially balanced incomplete block designs\nwith controls; merging rows of group-divisible nested designs;\ndirect construction from group-divisible schemes; and expansion\nof partially balanced incomplete block designs (Vinayaka et al.\n2026: In press). The A-efficiencies of the block and sub-block\nclassifications are computed against the A-optimal completely\nsymmetric reference design, following the test-versus-control\noptimality framework of Gupta and Parsad (1996)\n<doi:10.1080/03610929608831743> and Vinayaka et al. (2024)\n<doi:10.1080/03610926.2023.2251623>. These designs are\nparticularly suited to agricultural, animal husbandry,\nindustrial, and clinical trials involving multiple standard\nchecks under nested experimental conditions, such as\nmulti-environment trials where field heterogeneity (blocks) and\nwithin-field variation (sub-blocks) must be controlled\nsimultaneously.",
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      "page": "a_value",
      "title": "A-Value of an NPBBB Design for Test-Versus-Control Contrasts",
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      "title": "Construct an NPBBB Design by Composing a PBBB Design with an NBIB Design",
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      "title": "Construct an NPBBB Design by Augmenting an NPBIB Design with Controls",
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      "title": "Construct an NPBBB Design by Merging Rows of a Group-Divisible NPBIB Design",
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    {
      "page": "construct_method4",
      "title": "Construct an NPBBB Design Directly from a Group-Divisible Scheme",
      "topics": [
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    {
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      "title": "Construct an NPBBB Design by Expanding the Size-4 Blocks of a PBIB Design",
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      "title": "Construct an NPBBB Design by Expanding the Size-2 Blocks of a PBIB Design",
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