ON BLOCK DESIGNS FOR COMPARING TEST TREATMENTS WITH CONTROL(S)

dc.contributor.advisorBaidya Nath Mandal
dc.contributor.authorGARIMA SINGH
dc.date.accessioned2019-02-04T08:38:33Z
dc.date.available2019-02-04T08:38:33Z
dc.date.issued2018
dc.descriptiont-9896en_US
dc.description.abstractThere are many research investigations where the interest of the experimenter is in comparing a set of new treatments called test treatments with one or more established standard treatment(s) known as control treatment(s). Under the presence of one nuisance factor, two popular classes of block designs for comparing test treatments with control treatment(s) namely balanced treatment incomplete block (BTIB) designs and balanced bipartite block (BBPB) designs are used for such situations. In this investigation, two new classes of block designs namely nearly balanced treatment incomplete block (nearly BTIB) designs and nearly balanced bipartite block (nearly BBPB) designs are introduced for comparing test treatments with a single control treatment and with more than one control treatments, respectively. Necessary parametric conditions for existence of these two classes of block designs are obtained. Two algorithms are proposed to construct nearly BTIB and nearly BBPB designs for given parameters. The algorithms are implemented using R programming language. Nearly BTIB designs are obtained in a restricted parametric range using the first algorithm. In the restricted parametric range, a total of 635 nearly designs are possible and 618 of them are constructed. It was found that 198 nearly BTIB designs have higher A-efficiency compared to BTIB designs of Mandal et al. (2013). Using the second algorithm, nearly BBPB designs are also obtained in a restricted parametric range. In this parametric range, 886 nearly BBPB designs may exist out of which 874 designs are obtained.en_US
dc.identifier.urihttp://krishikosh.egranth.ac.in/handle/1/5810093519
dc.keywordsON BLOCK DESIGNS FOR COMPARING TEST TREATMENTS WITH CONTROL(S)en_US
dc.language.isoen_USen_US
dc.publisherICAR-INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE ICAR-INDIAN AGRICULTURAL RESEARCH INSTITUTEen_US
dc.subAgricultural Statistics and Informaticsen_US
dc.subjectnullen_US
dc.themeON BLOCK DESIGNS FOR COMPARING TEST TREATMENTS WITH CONTROL(S)en_US
dc.these.typeM.Scen_US
dc.titleON BLOCK DESIGNS FOR COMPARING TEST TREATMENTS WITH CONTROL(S)en_US
dc.typeThesisen_US
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