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PBtDesigns  

Partially Balanced t-Designs (PBtDesigns)
View on CRAN: Click here


Download and install PBtDesigns package within the R console
Install from CRAN:
install.packages("PBtDesigns")

Install from Github:
library("remotes")
install_github("cran/PBtDesigns")

Install by package version:
library("remotes")
install_version("PBtDesigns", "1.0.0")



Attach the package and use:
library("PBtDesigns")
Maintained by
Ashutosh Dalal
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2023-01-18
Latest Update: 2023-01-18
Description:
The t-designs represent a generalized class of balanced incomplete block designs in which the number of blocks in which any t-tuple of treatments (t >= 2) occur together is a constant. When the focus of an experiment lies in grading and selecting treatment subgroups, t-designs would be preferred over the conventional ones, as they have the additional advantage of t-tuple balance. t-designs can be advantageously used in identifying the best crop-livestock combination for a particular location in Integrated Farming Systems that will help in generating maximum profit. But as the number of components increases, the number of possible t-component combinations will also increase. Most often, combinations derived from specific components are only practically feasible, for example, in a specific locality, farmers may not be interested in keeping a pig or goat and hence combinations involving these may not be of any use in that locality. In such situations partially balanced t-designs with few selected combinations appearing in a constant number of blocks (while others not at all appearing) may be useful (Sayantani Karmakar, Cini Varghese, Seema Jaggi & Mohd Harun (2021)). Further, every location may not have the resources to form equally sized homogeneous blocks. Partially balanced t-designs with unequal block sizes (Damaraju Raghavarao & Bei Zhou (1998). Sayantani Karmakar, Cini Varghese, Seema Jaggi & Mohd Harun (2022)." Partially Balanced t-designs with unequal block sizes") prove to be more suitable for such situations.This package generates three series of partially balanced t-designs namely Series 1, Series 2 and Series 3. Series 1 and Series 2 are designs having equal block sizes and with treatment structures 4(t + 1) and a prime number, respectively. Series 3 consists of designs with unequal block sizes and with treatment structure n(n-1)/2. This package is based on the function named PBtD() for generating partially balanced t-designs along with their parameters, information matrices, average variance factors and canonical efficiency factors.
How to cite:
Ashutosh Dalal (2023). PBtDesigns: Partially Balanced t-Designs (PBtDesigns). R package version 1.0.0, https://cran.r-project.org/web/packages/PBtDesigns. Accessed 28 Aug. 2026.
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Complete documentation for PBtDesigns
Functions, R codes and Examples using the PBtDesigns R package
Some associated functions: PBtD . 
Some associated R codes: PBtD.R .  Full PBtDesigns package functions and examples
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