| Title: | Ternary Residual Effect Designs |
|---|---|
| Description: | 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. |
| Authors: | Akhilesh Jha [aut], Cini Varghese [aut], Seema Jaggi [aut], Mohd Harun [aut], Ashutosh Dalal [aut, cre] |
| Maintainer: | Ashutosh Dalal <[email protected]> |
| License: | GPL (>= 2) |
| Version: | 1.0.0 |
| Built: | 2024-12-12 05:27:58 UTC |
| Source: | https://github.com/cran/TREDesigns |
This function generates a class of balanced ternary residual effect designs (BTREDs) for a prime number of treatments (v), where (v >= 5) with p periods, determined as (v+3)/2, and n sequences, take the value v(v-1).
BtRED(v)BtRED(v)
v |
Prime Number of Treatments, v ( >= 5) |
It returns a new class of BTREDs along with its parameters, Information Matrix (C), Average Variance Factor (AVF), and Canonical Efficiency Factor (CEF) for both treatment and residual effects.
library(TREDesigns) BtRED(v = 7)library(TREDesigns) BtRED(v = 7)
This function generates a class of partially balanced ternary residual effect designs (PBTREDs) for a prime number of treatments (v), where (v >= 5) with p periods, take the value (v+3)/2, and n sequences, take the value v(v-1)/2.
PBtRED1(v)PBtRED1(v)
v |
Prime Number of Treatments, v ( >= 5) |
It returns a new class of PBTREDs along with its parameters, Information Matrix (C), Average Variance Factor (AVF), and Canonical Efficiency Factor (CEF) for both treatment and residual effects.
library(TREDesigns) PBtRED1(v = 5)library(TREDesigns) PBtRED1(v = 5)
This function generates three series of partially balanced ternary residual effect designs (PBTREDs) for a prime number of treatments (v), where (v >= 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
PBtRED2(m, series)PBtRED2(m, series)
m |
Any number (>= 1) such that v (>=5) is prime. |
series |
Choose series: 1, 2 or 3 |
It returns the a new class of PBTREDs based on chosen m along with its parameters, Information matrix (C), Average Variance Factor (AVF), and Canonical Efficiency Factor (CEF) for both treatment and residual effects.
library(TREDesigns) PBtRED2(m = 1, series=1)library(TREDesigns) PBtRED2(m = 1, series=1)
This function generates a new class of partially balanced ternary residual effect designs (PBTREDs) for all treatments, v (>= 5) in periods, p = (v+3)/2 if v is odd, otherwise p = (v+2)/2, and the number of sequences, n = 2v.
PBtRED3(v)PBtRED3(v)
v |
Number of treatments (>= 5) |
It returns a new class of PBTREDs along with its parameters, Information matrix (C), Average Variance Factor (AVF), and Canonical Efficiency Factor (CEF) for both treatment and residual effects.
library(TREDesigns) PBtRED3(v = 5)library(TREDesigns) PBtRED3(v = 5)
This function generates a new class of partially balanced ternary residual effect designs (PBTREDs) for the number of treatments, v = 2m; where m >= 4 & even. The number of periods, p = (v+4)/2, while the number of sequences, n = v.
PBtRED4(m)PBtRED4(m)
m |
Any even number (>= 4) |
It returns a new class of PBTREDs along with its parameters, Information matrix (C), Average Variance Factor (AVF), and Canonical Efficiency Factor (CEF) for both treatment and residual effects.
library(TREDesigns) PBtRED4(m = 4)library(TREDesigns) PBtRED4(m = 4)
To study the properties of any given ternary residual effect design.
Study_tRED(design)Study_tRED(design)
design |
Provide a ternary residual effect design |
It returns Information matrix (C), Average Variance Factor (AVF), and Canonical Efficiency Factor (CEF) for both treatment and residual effects for a given ternary residual design.
library(TREDesigns) design=PBtRED3(v = 5)$PBTRED Study_tRED(design)library(TREDesigns) design=PBtRED3(v = 5)$PBTRED Study_tRED(design)