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  [aut,
cre],
Rajender Parsad [aut, ctb],
B.N. Mandal [aut, ctb],
L.N. Vinaykumar [aut, ctb],
Gopalareddy Krishnappa
[aut, ctb] |
| Maintainer: |
Vinayaka <vinayaka.b3vs at gmail.com> |
| License: |
GPL-3 |
| NeedsCompilation: |
no |
| Materials: |
README, NEWS |
| CRAN checks: |
NPBBBdesigns results |
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