n_units

Returns the total number of experimental units of a nested
 partially balanced bipartite block design, \(N = b_2 k_2 = b_1 k_1\).

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.

Vinayaka 

NPBBBdesigns

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

Rajender Parsad

B.N. Mandal

L.N. Vinaykumar

Gopalareddy Krishnappa

n_units function

<dl><dt>x</dt>
<dd>An object of class <code>"npbbb"</code>, as returned by the
<code>construct_method*</code> functions.</dd></dl>

Arguments

Total Number of Experimental Units of an NPBBB Design — n_units

<dl>

<dt>x</dt>
<dd>An object of class <code>"npbbb"</code>, as returned by the
<code>construct_method*</code> functions.</dd>

</dl>

n_units: Total Number of Experimental Units of an NPBBB Design

Description

Usage

Value

Arguments

Examples