Some important classes of neighbor balanced designs in linear blocks of small sizes
Neighbor balanced designs are useful to balance out the neighbor effects in field of agriculture, serology, agro forestry, industry, etc. In most of the agriculture experiments blocks are formed in a line and therefore, neighbor balanced designs are required in linear blocks. In this article some cl...
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2018-07-01
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| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364716306383 |
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doaj-c142d82dac474e82a7300cb3b4095d422020-11-25T00:57:33ZengElsevierJournal of King Saud University: Science1018-36472018-07-01303311315Some important classes of neighbor balanced designs in linear blocks of small sizesAmin Khalid0Farrukh Shehzad1Azeem Ali2Rashid Ahmed3Allama Iqbal Open University Islamabad, PakistanDepartment of Statistics, The Islamia University of Bahawalpur, PakistanDepartment of Statistics, Govt. College University Lahore, PakistanDepartment of Statistics, The Islamia University of Bahawalpur, Pakistan; Corresponding author.Neighbor balanced designs are useful to balance out the neighbor effects in field of agriculture, serology, agro forestry, industry, etc. In most of the agriculture experiments blocks are formed in a line and therefore, neighbor balanced designs are required in linear blocks. In this article some classes of first order neighbor balanced designs are presented in linear blocks of size three and four. A method to construct the second order neighbor balanced designs through two minimal first order neighbor balanced designs in linear binary blocks of size three is also developed here. Keywords: Neighbor effects, Linear blocks, First order neighbor balanced designs, Second order neighbor balanced designs, Minimal designs, MSC (2000): 05B05, 62K10http://www.sciencedirect.com/science/article/pii/S1018364716306383 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Amin Khalid Farrukh Shehzad Azeem Ali Rashid Ahmed |
| spellingShingle |
Amin Khalid Farrukh Shehzad Azeem Ali Rashid Ahmed Some important classes of neighbor balanced designs in linear blocks of small sizes Journal of King Saud University: Science |
| author_facet |
Amin Khalid Farrukh Shehzad Azeem Ali Rashid Ahmed |
| author_sort |
Amin Khalid |
| title |
Some important classes of neighbor balanced designs in linear blocks of small sizes |
| title_short |
Some important classes of neighbor balanced designs in linear blocks of small sizes |
| title_full |
Some important classes of neighbor balanced designs in linear blocks of small sizes |
| title_fullStr |
Some important classes of neighbor balanced designs in linear blocks of small sizes |
| title_full_unstemmed |
Some important classes of neighbor balanced designs in linear blocks of small sizes |
| title_sort |
some important classes of neighbor balanced designs in linear blocks of small sizes |
| publisher |
Elsevier |
| series |
Journal of King Saud University: Science |
| issn |
1018-3647 |
| publishDate |
2018-07-01 |
| description |
Neighbor balanced designs are useful to balance out the neighbor effects in field of agriculture, serology, agro forestry, industry, etc. In most of the agriculture experiments blocks are formed in a line and therefore, neighbor balanced designs are required in linear blocks. In this article some classes of first order neighbor balanced designs are presented in linear blocks of size three and four. A method to construct the second order neighbor balanced designs through two minimal first order neighbor balanced designs in linear binary blocks of size three is also developed here. Keywords: Neighbor effects, Linear blocks, First order neighbor balanced designs, Second order neighbor balanced designs, Minimal designs, MSC (2000): 05B05, 62K10 |
| url |
http://www.sciencedirect.com/science/article/pii/S1018364716306383 |
| work_keys_str_mv |
AT aminkhalid someimportantclassesofneighborbalanceddesignsinlinearblocksofsmallsizes AT farrukhshehzad someimportantclassesofneighborbalanceddesignsinlinearblocksofsmallsizes AT azeemali someimportantclassesofneighborbalanceddesignsinlinearblocksofsmallsizes AT rashidahmed someimportantclassesofneighborbalanceddesignsinlinearblocksofsmallsizes |
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