Construction and a-Efficiency of Nested Partially Balanced Bipartite Block Designs
Overview
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.
- First release.
- Six construction methods for nested partially balanced bipartite block (NPBBB) designs:
construct_method1toconstruct_method6. - Exact A-efficiency evaluation for the block and sub-block classifications via
info_matrix,a_value,a_value_optimalandnpbbb_efficiency, benchmarked against the A-optimal completely symmetric reference design. printmethods for the"npbbb"and"npbbb_efficiency"classes, including a full physical block / sub-block layout.n_unitshelper for the total number of experimental units.
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Health
- OK13 OK2026-09-08
- ERROR12 OK, 1 ERROR2026-09-07
- OK13 OK2026-08-05
- NOTE12 OK, 1 NOTE2026-08-01
- OK7 OK2026-07-05
Documentation
- Help pages
- 13
- Examples that run
- 100%13 run in a plain check
- Exported functions with examples
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- Documented parameters
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- Return-value docs
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- Help pages citing references
- 77%
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Code & Tests
People & History
- 1.0.0Latest2026-07-04 · current release
- RR 4.6.0 released · 2026-04-24
Package metadata
- First published
- 2026-07-04
- Total releases
- 1 / 1 yrs
- License
- GPL-3 OSI
- Minimum R
- ≥ 3.5.0
- Download size
- 15 KB
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