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 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. Imports: MASS License: GPL (>= 2) Encoding: UTF-8 RoxygenNote: 7.2.0 NeedsCompilation: no Packaged: 2026-05-25 10:52:54 UTC; root 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] Repository: https://ashutoshdalal97.r-universe.dev Date/Publication: 2023-01-18 10:50:10 UTC RemoteUrl: https://github.com/cran/PBtDesigns RemoteRef: HEAD RemoteSha: e51e7fa58ad6dc969b348db2d2efa899a830ba4c