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cff-version: 1.2.0
message: 'To cite package "NPBBBdesigns" in publications use:'
type: software
license: GPL-3.0-only
title: 'NPBBBdesigns: Construction and a-Efficiency of Nested Partially Balanced Bipartite
  Block Designs'
version: 1.0.0
doi: 10.32614/CRAN.package.NPBBBdesigns
abstract: '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) <https://doi.org/10.1080/03610929608831743> and Vinayaka et al. (2024) <https://doi.org/10.1080/03610926.2023.2251623>.
  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.'
authors:
- name: Vinayaka
  email: vinayaka.b3vs@gmail.com
  orcid: https://orcid.org/0000-0001-5004-0084
- family-names: Parsad
  given-names: Rajender
- family-names: Mandal
  given-names: B.N.
- family-names: Vinaykumar
  given-names: L.N.
- family-names: Krishnappa
  given-names: Gopalareddy
  orcid: https://orcid.org/0000-0002-8825-6363
repository: https://vinayaka11442.r-universe.dev
commit: e7b2d577259071be65d93c02cba762157a495724
date-released: '2026-07-04'
contact:
- name: Vinayaka
  email: vinayaka.b3vs@gmail.com
  orcid: https://orcid.org/0000-0001-5004-0084