PBtRED2

This function generates three series of partially balanced ternary residual effect designs (PBTREDs) for a prime number of treatments (v), where (v &gt;= 5) with p periods, and n sequences.
Parameters of Series 1: v = 4m+ 1, t = m, n = m(4m+ 1), p = 5, r = 5m
Parameters of Series 2: v = 4m+ 3, t = 2, n = 2(4m+ 3), p = 2(m+1), r = 4(m+1)
Parameters of Series 3: v = 6m+ 1, t = m, n = m(6m+1), p = 7, r =7m

There are some experimental scenarios where each experimental unit receives a sequence of treatments across multiple periods, and treatment effects persist beyond the period of application. It focuses on the construction and calculation of the parametric value of the residual effect designs balanced for carryover effects, also referred to as crossover designs, change-over designs, or repeated measurements designs (Aggarwal and Jha, 2010<doi:10.1080/15598608.2010.10412013>). The primary objective of the package is to generate a new class of Balanced Ternary Residual Effect Designs (BTREDs), balanced for carryover effects tailored explicitly for situations where the number of periods is less than or equal to the number of treatments. In addition, the package provides four new classes of Partially Balanced Ternary Residual Effect Designs (PBTREDs), constructed using incomplete block designs, initial sequences, and rectangular association scheme. In addition, one extra function is included to help study the parametric properties of a given residual effect design.

Ashutosh Dalal

TREDesigns

Ternary Residual Effect Designs

Akhilesh Jha

Cini Varghese

Seema Jaggi

Mohd Harun

PBtRED2 function

<dl><dt>m</dt>
<dd>Any number (&gt;= 1) such that v (&gt;=5) is prime.</dd>
<dt>series</dt>
<dd>Choose series: 1, 2 or 3</dd></dl>

Arguments

Partially Balanced Ternary Residual Effect Designs for a Prime Number of Treatments, v (&gt;=5); Series 1: v = 4m + 1, Series 2: v = 4m + 3 and Series 3: v = 6m + 1 — PBtRED2

<dl>

<dt>m</dt>
<dd>Any number (&gt;= 1) such that v (&gt;=5) is prime.</dd>


<dt>series</dt>
<dd>Choose series: 1, 2 or 3</dd>

</dl>

Partially Balanced Ternary Residual Effect Designs for a Prime Number of Treatments, v (&gt;=5); Series 1: v = 4m + 1, Series 2: v = 4m + 3 and Series 3: v = 6m + 1

PBtRED2: Partially Balanced Ternary Residual Effect Designs for a Prime Number of Treatments, v (>=5); Series 1: v = 4m + 1, Series 2: v = 4m + 3 and Series 3: v = 6m + 1

Description

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Examples