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  "Title": "Partially Balanced t-Designs (PBtDesigns)",
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  "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\")))",
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  "Description": "The t-designs represent a generalized class of balanced\nincomplete block designs in which the number of blocks in which\nany t-tuple of treatments (t >= 2) occur together is a\nconstant. When the focus of an experiment lies in grading and\nselecting treatment subgroups, t-designs would be preferred\nover the conventional ones, as they have the additional\nadvantage of t-tuple balance. t-designs can be advantageously\nused in identifying the best crop-livestock combination for a\nparticular location in Integrated Farming Systems that will\nhelp in generating maximum profit. But as the number of\ncomponents increases, the number of possible t-component\ncombinations will also increase. Most often, combinations\nderived from specific components are only practically feasible,\nfor example, in a specific locality, farmers may not be\ninterested in keeping a pig or goat and hence combinations\ninvolving these may not be of any use in that locality. In such\nsituations partially balanced t-designs with few selected\ncombinations appearing in a constant number of blocks (while\nothers not at all appearing) may be useful (Sayantani Karmakar,\nCini Varghese, Seema Jaggi & Mohd Harun\n(2021)<doi:10.1080/03610918.2021.2008436>). Further, every\nlocation may not have the resources to form equally sized\nhomogeneous blocks. Partially balanced t-designs with unequal\nblock sizes (Damaraju Raghavarao & Bei Zhou\n(1998)<doi:10.1080/03610929808832657>. Sayantani Karmakar, Cini\nVarghese, Seema Jaggi & Mohd Harun (2022).\" Partially Balanced\nt-designs with unequal block sizes\") prove to be more suitable\nfor such situations.This package generates three series of\npartially balanced t-designs namely Series 1, Series 2 and\nSeries 3. Series 1 and Series 2 are designs having equal block\nsizes and with treatment structures 4(t + 1) and a prime\nnumber, respectively. Series 3 consists of designs with unequal\nblock sizes and with treatment structure n(n-1)/2. This package\nis based on the function named PBtD() for generating partially\nbalanced t-designs along with their parameters, information\nmatrices, average variance factors and canonical efficiency\nfactors.",
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  "Author": "Sayantani Karmakar [aut, ctb], Cini Varghese [aut, ctb],\nAshutosh Dalal [aut, cre], Vinaykumar LN [aut, ctb], Seema\nJaggi [aut, ctb], Mohd Harun [aut, ctb]",
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