New Generators for Minimal Circular Generalised Neighbour Designs in Blocks of Two Different Sizes

Nadeem, Muhammad; Noreen, Khadija; Rasheed, H. M. Kashif; Ahmed, Rashid; Hassan, Mahmood Ul

doi:10.59170/stattrans-2023-021

Author

Nadeem Muhammad (Department of Statistics, The Islamia University of Bahawalpur, Pakistan), Noreen Khadija (Department of Statistics, The Islamia University of Bahawalpur, Pakistan), Rasheed H. M. Kashif (Department of Statistics, The Islamia University of Bahawalpur, Pakistan), Ahmed Rashid (Department of Statistics, The Islamia University of Bahawalpur, Pakistan), Hassan Mahmood Ul (Department of Statistics, The Islamia University of Bahawalpur, Pakistan)

Title

New Generators for Minimal Circular Generalised Neighbour Designs in Blocks of Two Different Sizes

Source

Statistics in Transition, 2023, vol. 24, nr 2, s. 85-92, aneks, tab., bibliogr. 11 poz.

Keyword

Algorytmy, Teoria ekonomii, Statystyka
Algorithms, Economic theory, Statistics

Note

summ.
Mathematics Subject Classification (2010): 05B05; 62K10; 62K05.

Abstract

Minimal neighbour designs (NDs) are used when a response of a treatment (direct effect) is affected by the treatment(s) applied in the neighbouring units. Minimal generalised NDs are preferred when minimal NDs cannot be constructed. Through the method of cyclic shifts (Rule I), the conditions for the existence of minimal circular generalised NDs are discussed, in which v/2 unordered pairs do not appear as neighbours. Certain generators are also developed to obtain minimal circular generalised NDs in blocks of two different sizes, where k2 = 3, 4 and 5. All these designs are constructed using i sets of shifts for k1 and two for k2. (original abstract)

Accessibility

The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics

Full text

Bibliography

Ahmed, R., Akhtar, M. and Tahir, M. H., (2009). Economical generalized neighbor designs of use in Serology. Computational Statistics and Data Analysis, 53, pp. 4584-4589.
Ahmed, R., Akhtar, M., (2012). Designs partially balanced for neighbor effects. Aligarh Journal of Statistics, 32, pp. 41-53.
Chaure, N. K., Misra, B. L., (1996). On construction of generalized neighbor design. Sankhya Series B, 58, pp. 45-253.
Iqbal, I., (1991). Construction of experimental design using cyclic shifts, Ph.D. Thesis, University of Kent at Canterbury, U.K.
Iqbal, I., Tahir, M. H., Aggarwal, M. L., Ali, A. and Ahmed, I. (2012). Generalized neighbor designs with block size 3. Journal of Statistical Planning and Inference, 142, pp. 626-632.
Kedia, R. G., Misra, B. L., (2008). On construction of generalized neighbor design of use in serology. Statistics and Probability Letters, 18, pp. 254-256.
Misra, B. L., Bhagwandas and Nutan S. M., (1991). Families of neighbor designs and their analysis, Communications in Statistics - Simulation and Computation, 20, pp. 427-436.
Nutan, S. M., (2007). Families of Proper Generalized Neighbor Designs. Journal of Statistical Planning and Inference, 137, pp. 1681-1686.
Rees, D. H., (1967). Some designs of use in serology. Biometrics, 23, pp. 779-791.
Shehzad, F., Zafaryab, M. and Ahmed, R., (2011). Some series of proper generalized neighbor designs. Journal of Statistical Planning and Inference, 141, pp. 3808-3818.
Zafaryab, M., Shehzad, F. and Ahmed, R., (2010). Proper generalized neighbor designs in circular blocks. Journal of Statistical Planning and Inference, 140, pp. 3498-3504.

Cited by

ISSN

1234-7655

Language

eng

URI / DOI

BazEkon - The Main Library of the Cracow University of Economics

Main menu