| Type: | Package |
| Title: | Ternary Residual Effect Designs |
| Version: | 1.0.1 |
| Maintainer: | Ashutosh Dalal <ashutosh.dalal97@gmail.com> |
| 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. |
| Suggests: | MASS |
| License: | GPL-2 | GPL-3 [expanded from: GPL (≥ 2)] |
| Encoding: | UTF-8 |
| RoxygenNote: | 7.3.2 |
| NeedsCompilation: | no |
| Packaged: | 2025-01-19 16:16:59 UTC; Ashutosh |
| Author: | Akhilesh Jha [aut], Cini Varghese [aut], Seema Jaggi [aut], Mohd Harun [aut], Ashutosh Dalal [aut, cre] |
| Repository: | CRAN |
| Date/Publication: | 2025-01-19 16:30:02 UTC |
Balanced Ternary Residual Effect Designs for Prime Number of Treatments
Description
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).
Usage
BtRED(v)
Arguments
v |
Prime Number of Treatments, v ( >= 5) |
Value
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.
Examples
library(TREDesigns)
BtRED(v = 7)
Partially Balanced Ternary Residual Effect Designs for Prime Number of Treatments
Description
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.
Usage
PBtRED1(v)
Arguments
v |
Prime Number of Treatments, v ( >= 5) |
Value
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.
Examples
library(TREDesigns)
PBtRED1(v = 5)
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
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
Usage
PBtRED2(m, series)
Arguments
m |
Any number (>= 1) such that v (>=5) is prime. |
series |
Choose series: 1, 2 or 3 |
Value
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.
Examples
library(TREDesigns)
PBtRED2(m = 1, series=1)
Partially Balanced Ternary Residual Effect Designs for Number of Treatments, v ( >= 5)
Description
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.
Usage
PBtRED3(v)
Arguments
v |
Number of treatments (>= 5) |
Value
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.
Examples
library(TREDesigns)
PBtRED3(v = 5)
Partially Balanced Ternary Residual Effect Designs for Number of Treatments, v = 2m (m >= 4 & even)
Description
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.
Usage
PBtRED4(m)
Arguments
m |
Any even number (>= 4) |
Value
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.
Examples
library(TREDesigns)
PBtRED4(m = 4)
Studying Properties of Ternary Residual Effect Designs
Description
To study the properties of any given ternary residual effect design.
Usage
Study_RED(design)
Arguments
design |
Provide a ternary residual effect design |
Value
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.
Examples
library(TREDesigns)
design=PBtRED3(v = 5)$PBTRED
Study_RED(design)