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Neighbor Designs: A New Approach of Local Control

Received: 16 July 2014    Accepted: 5 August 2014    Published: 10 August 2014
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Abstract

It is well known that randomization, replication and local control play important role in experimental design. Neighbor designs provide a tool for local control in situation where experimental units are influenced by neighboring units. A neighbor design is called one-dimensional if neighbor effects are controlled in only one way, i.e., either in row or in column direction. In two-dimensional design, neighbor effects are controlled in both ways (rows and columns). In this paper the concept of neighbor designs, its types and importance is discussed with examples. Models of Neighbor effects for different situations are also discussed.

Published in American Journal of Theoretical and Applied Statistics (Volume 3, Issue 4)
DOI 10.11648/j.ajtas.20140304.15
Page(s) 107-110
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

One-Dimensional Neighbor Designs, Two-Dimensional Neighbor Designs, Circular Design

References
[1] AzaÏs, J. M., (1987). Design of experiments for studying intergenotypic competition. J. Roy. Statist. Soc., B, 49, 334-345.
[2] Azais, J. M., Druilhet, P. (1997). Optimality of neighbor balanced designs when neighbor effects are neglected. J Statist. Plann. Inference, 64, 353-367.
[3] Bailey, R. A., Druilhet , P. (2004). Optimality of neighbor-balanced designs for total effects. The Ann. Statist., 32, 4, 1650-1661.
[4] Besag, J., Kempton, R. (1986). Statistical analysis of field experiments using neighboring plots. Biometrics, 42, 231–251.
[5] Chai, F., Majumdar, D. (2000). Optimal designs for nearest-neighbor analysis. J. Statist. Plann. Inference, 86, 265-275.
[6] Federer, W.T., Basford, K.E. (1991). Competing effects designs and models for two-dimensional field arrangements. Biometrics, 47, 1461-1472.
[7] Filipiak, K., Markiewicz, A. (2005). Optimality and efficiency of circular neighbor balanced designs for correlated observations. Metrika, 61, 17-27.
[8] Filipiak, K., Markiewicz, A. (2007). Optimal designs for a mixed interference model. Metrika, 65, 369-386.
[9] Hamad, N., Zafaryab, M., Hanif, M. (2010). Non-binary neighbor balance circular designs for v = 2n and λ = 2. J. Statist. Plann. Inference, 140, 3013-3016.
[10] Kiefer, J. (1975). Construction and optimality of generalized Youden designs, in A Survey of Statistical Designs and Linear Models. : Srivastava, J. N. (Ed.), North-Holland, Amsterdam, pp. 333-353.
[11] Misra, B.L., Bhagwandas, Nutan. (1991). Families of neighbor designs and their analysis. Commun. Statist. Simul. Comput., 20 (2 and 3), 427–436.
[12] Monod, H. (1992). Two factor neighbor designs in incomplete blocks for intercropping experiments. The Statistician, 41, 5,487-497.
[13] Morgan, J.P., Uddin, N., (1991). Two dimensional design for correlated errors. The Ann. Statist., 19, 2160-2182.
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  • APA Style

    Naqvi Hamad, Najeeb Haider. (2014). Neighbor Designs: A New Approach of Local Control. American Journal of Theoretical and Applied Statistics, 3(4), 107-110. https://doi.org/10.11648/j.ajtas.20140304.15

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    ACS Style

    Naqvi Hamad; Najeeb Haider. Neighbor Designs: A New Approach of Local Control. Am. J. Theor. Appl. Stat. 2014, 3(4), 107-110. doi: 10.11648/j.ajtas.20140304.15

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    AMA Style

    Naqvi Hamad, Najeeb Haider. Neighbor Designs: A New Approach of Local Control. Am J Theor Appl Stat. 2014;3(4):107-110. doi: 10.11648/j.ajtas.20140304.15

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  • @article{10.11648/j.ajtas.20140304.15,
      author = {Naqvi Hamad and Najeeb Haider},
      title = {Neighbor Designs: A New Approach of Local Control},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {3},
      number = {4},
      pages = {107-110},
      doi = {10.11648/j.ajtas.20140304.15},
      url = {https://doi.org/10.11648/j.ajtas.20140304.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20140304.15},
      abstract = {It is well known that randomization, replication and local control play important role in experimental design. Neighbor designs provide a tool for local control in situation where experimental units are influenced by neighboring units. A neighbor design is called one-dimensional if neighbor effects are controlled in only one way, i.e., either in row or in column direction. In two-dimensional design, neighbor effects are controlled in both ways (rows and columns). In this paper the concept of neighbor designs, its types and importance is discussed with examples. Models of Neighbor effects for different situations are also discussed.},
     year = {2014}
    }
    

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    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
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    AB  - It is well known that randomization, replication and local control play important role in experimental design. Neighbor designs provide a tool for local control in situation where experimental units are influenced by neighboring units. A neighbor design is called one-dimensional if neighbor effects are controlled in only one way, i.e., either in row or in column direction. In two-dimensional design, neighbor effects are controlled in both ways (rows and columns). In this paper the concept of neighbor designs, its types and importance is discussed with examples. Models of Neighbor effects for different situations are also discussed.
    VL  - 3
    IS  - 4
    ER  - 

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Author Information
  • Department of Statistics, The Ghazi University, D.G. Khan, Pakistan

  • Department of Statistics, The Ghazi University, D.G. Khan, Pakistan

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