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

• Autorzy: Muhammad Nadeem , Khadija Noreen , H. M. Kashif Rasheed , Rashid Ahmed , Mahmood Ul Hassan
• Języki publikacji: EN

Abstrakty

EN

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)

Słowa kluczowe

EN

Algorithms; Economic theory; Statistics

PL

Algorytmy; Teoria ekonomii; Statystyka

• Czasopismo: Statistics in Transition
• Rocznik: 2023
• Tom: 24
• Numer: nr 2
• Strony: 85--92

Twórcy

autor

Muhammad Nadeem

• Department of Statistics, The Islamia University of Bahawalpur, Pakistan

autor

Khadija Noreen

• Department of Statistics, The Islamia University of Bahawalpur, Pakistan

autor

H. M. Kashif Rasheed

• Department of Statistics, The Islamia University of Bahawalpur, Pakistan

autor

Rashid Ahmed

• Department of Statistics, The Islamia University of Bahawalpur, Pakistan

autor

Mahmood Ul Hassan

• Department of Statistics, The Islamia University of Bahawalpur, Pakistan

Bibliografia

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• 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.

Identyfikatory

DOI

10.59170/stattrans-2023-021