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NPBBBdesigns: Construction and a-Efficiency of Nested Partially Balanced Bipartite Block Designs

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) <doi:10.1080/03610929608831743> and Vinayaka et al. (2024) <doi: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.

Version: 1.0.0
Depends: R (≥ 3.5.0)
Published: 2026-07-04
DOI: 10.32614/CRAN.package.NPBBBdesigns
Author: Vinayaka ORCID iD [aut, cre], Rajender Parsad [aut, ctb], B.N. Mandal [aut, ctb], L.N. Vinaykumar [aut, ctb], Gopalareddy Krishnappa ORCID iD [aut, ctb]
Maintainer: Vinayaka <vinayaka.b3vs at gmail.com>
License: GPL-3
NeedsCompilation: no
Materials: README, NEWS
CRAN checks: NPBBBdesigns results

Documentation:

Reference manual: NPBBBdesigns.html , NPBBBdesigns.pdf

Downloads:

Package source: NPBBBdesigns_1.0.0.tar.gz
Windows binaries: r-devel: NPBBBdesigns_1.0.0.zip, r-release: NPBBBdesigns_1.0.0.zip, r-oldrel: NPBBBdesigns_1.0.0.zip
macOS binaries: r-release (arm64): NPBBBdesigns_1.0.0.tgz, r-oldrel (arm64): NPBBBdesigns_1.0.0.tgz, r-release (x86_64): NPBBBdesigns_1.0.0.tgz, r-oldrel (x86_64): NPBBBdesigns_1.0.0.tgz

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