Package: PBtDesigns
Type: Package
Title: Partially Balanced t-Designs (PBtDesigns)
Version: 1.0.0
Authors@R: c(person("Sayantani", "Karmakar", email = " sayantanikarmakar20@gmail.com" , role = c("aut","ctb")),person("Cini", "Varghese", email = "Cini.Varghese@icar.gov.in", role =c( "aut", "ctb")),person("Ashutosh","Dalal",email="ashutosh.dalal97@gmail.com", role =c( "aut", "cre")),person("Vinaykumar", "LN", email = "vinaymandya123@gmail.com", role =c( "aut", "ctb")),person("Seema", "Jaggi", email = "seema.jaggi@icar.gov.in", role =c( "aut", "ctb")),person("Mohd", "Harun", email = "harun.agribhu@gmail.com", role =c( "aut", "ctb")))
Maintainer: Ashutosh Dalal <ashutosh.dalal97@gmail.com>
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)<doi:10.1080/03610918.2021.2008436>). 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)<doi:10.1080/03610929808832657>. 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.
Imports: MASS
License: GPL (>= 2)
Encoding: UTF-8
Repository: CRAN
RoxygenNote: 7.2.0
NeedsCompilation: no
Packaged: 2023-01-18 08:32:13 UTC; Ashutosh
Author: Sayantani Karmakar [aut, ctb],
  Cini Varghese [aut, ctb],
  Ashutosh Dalal [aut, cre],
  Vinaykumar LN [aut, ctb],
  Seema Jaggi [aut, ctb],
  Mohd Harun [aut, ctb]
Date/Publication: 2023-01-18 11:50:10 UTC
Built: R 4.6.0; ; 2026-04-25 21:04:27 UTC; unix
