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Title: Some problems in block designs and optimality criteria
Researcher: Joseph, O C
Guide(s): Thannippara, Alex
Keywords: Eand#8722;optimality.
Balanced Incomplete Block (BIB) Design
Symmetrical Balanced Incomplete Block (SBIB) Design
Semi-Regular Graph (SRG) Design
Regular Graph (RG) Design
Group Divisible (GD) Design
Dual Designs
Balanced Treatment Incomplete Block (BTIB) Design
Group Divisible Treatment (GDT) Design
Partially Efficiency Balanced (PEB) Design
Upload Date: 28-Feb-2013
University: Mahatma Gandhi University
Completed Date: March 2007
Abstract: Jacroux (1985) extended the definition of Regular graph (RG) designs of Mitchell and John (1976) to Semi-regular graph (SRG) designs, and studied the type 1 optimality of block designs. In this investigation, the construction and optimality of some more SRG designs, their dual designs and RG designs with unequal block sizes are carried out, which are not discussed by Mitchell and John (1976). Moreover, it is established that a class of two associate partially efficiency balanced (PEB) design is, in fact RG or SRG designs. RG designs are also obtained by adding two RG designs having the same treatments and same size of blocks. Further, it is shown that the existence of a BIB design with _ = 2 implies the existence of a RG design. Again, the adjacency graph of RG designs is given, and thereby some new RG designs are obtained. Also, two series of Group Divisible (GD) designs from v _ 3 (mod 6) BIB designs are constructed, and established that one series is Eand#8722;optimal. Further, Semi-Regular Group Divisible (SRGD) designs are obtained, by adding two SRGD designs having the same treatments and same size of blocks. Also, it is shown that (S-) type Balanced Treatment Incomplete Block (BTIB) designs for comparing test treatments with a control are partially efficiency balanced (PEB) designs. Again, it is established that (R-) type binary BTIB and GDT designs are simple PEB designs, and binary BTIB designs with _o = _1 are proper EB designs.
Pagination: 149p.
Appears in Departments:Department of Statistics

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01_title.pdfAttached File16.26 kBAdobe PDFView/Open
02_declaration.pdf21.51 kBAdobe PDFView/Open
03_certificate.pdf23.77 kBAdobe PDFView/Open
04_preface.pdf25.6 kBAdobe PDFView/Open
05_abstract.pdf37.69 kBAdobe PDFView/Open
06_contents.pdf39.71 kBAdobe PDFView/Open
07_chapter 1.pdf74.32 kBAdobe PDFView/Open
08_chapter 2.pdf105.79 kBAdobe PDFView/Open
09_chapter 3.pdf156.35 kBAdobe PDFView/Open
10_chapter 4.pdf122.55 kBAdobe PDFView/Open
11_chapter 5.pdf82.39 kBAdobe PDFView/Open
12_chapter 6.pdf125.72 kBAdobe PDFView/Open
13_chapter 7.pdf146.06 kBAdobe PDFView/Open
14_summary.pdf39.52 kBAdobe PDFView/Open
15_list of papers.pdf56.72 kBAdobe PDFView/Open

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