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<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>Partially Balanced t-Designs (PBtDesigns)</dc:title>
  <dc:title>R package PBtDesigns version 1.0.0</dc:title>
  <dc: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 &gt;= 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 &amp; Mohd Harun (2021)&lt;doi:10.1080/03610918.2021.2008436&gt;). Further, every location may not have the resources to form equally sized homogeneous blocks. Partially balanced t-designs with unequal block sizes (Damaraju Raghavarao &amp; Bei Zhou (1998)&lt;doi:10.1080/03610929808832657&gt;. Sayantani Karmakar, Cini Varghese, Seema Jaggi &amp; 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.</dc:description>
  <dc:type>Software</dc:type>
  <dc:relation>Imports: MASS</dc:relation>
  <dc:creator>Ashutosh Dalal &lt;ashutosh.dalal97@gmail.com&gt;</dc:creator>
  <dc:publisher>Comprehensive R Archive Network (CRAN)</dc:publisher>
  <dc:contributor>Sayantani Karmakar [aut, ctb],
  Cini Varghese [aut, ctb],
  Ashutosh Dalal [aut, cre],
  Vinaykumar LN [aut, ctb],
  Seema Jaggi [aut, ctb],
  Mohd Harun [aut, ctb]</dc:contributor>
  <dc:rights>GPL (&gt;= 2)</dc:rights>
  <dc:date>2023-01-18</dc:date>
  <dc:format>application/tgz</dc:format>
  <dc:identifier>https://CRAN.R-project.org/package=PBtDesigns</dc:identifier>
  <dc:identifier>doi:10.32614/CRAN.package.PBtDesigns</dc:identifier>
</oai_dc:dc>
