Generation of 2n series fractional factorial plans robust against linear-trend
Abstract views: 33 / PDF downloads: 34
Keywords:Fold-over, Fractional factorial plan, Linear-trend-free plan, Run orders
Trend-free design for single factor at two level factorial experiments (complete and fractional both) are available in literature but trend-free multi-factor design could not be traced in the literature. There are a number of experiments in agronomy, agricultural engineering and virology where factors are multi-level. Multi-level factorial/fractional factorial designs are not readily available, and there is a need to address this problem. Hence an attempt has been made to construct linear trend-free multi-level factorial/ fractional factorial main effect design with their cost consideration.
Cheng C S and Jacroux M. 1988. On the construction of trend-free run orders of two-level factorial design. Journal of American Statistical Association 83: 1152–58. DOI: https://doi.org/10.1080/01621459.1988.10478713
Chai F S. 1995. Construction and optimality of nearly trend-free design. Journal of Statistical Planning and Inference 48: 113–29. DOI: https://doi.org/10.1016/0378-3758(94)00146-M
Coster D C and Cheng C S. 1988. Minimum cost trend-free run orders of fractional factorial design. Annals of Statistics 16: 1188–05. DOI: https://doi.org/10.1214/aos/1176350955
John P W M. 1990. Time trend and factorial experiments. Technometrics 32: 275–82. DOI: https://doi.org/10.1080/00401706.1990.10484680
Lal K, Parsad R and Gupta V K. 2005. A Study on Trend-free Design. Project Report, IASRI, New Delhi.
Lal K, Parsad R and Gupta V K. 2007. Trend-free nested balanced incomplete block design and design for diallel cross experiments. Calcutta Statistical Association Bulletin 59: 203–21. DOI: https://doi.org/10.1177/0008068320070306
Majumdar D and Martin R J. 2002. Finding optimal design in the presence of trends. Journal of Statistical Planning and Inference 106: 177–90. DOI: https://doi.org/10.1016/S0378-3758(02)00211-2
Nguyen N K. 2013. Making experimental design robust against time trends. Statistics and Applications 11(1,2): 79–86.
Sarkar S K, Krishan Lal, Rajender Parsad and Gupta V K. 2009. Generation of linear trend free design for factorial experiments. Journal of Indian Society of Agricultural Statistics 63(2): 165–74.
Yeh C M and Bradley R A. 1983. Trend-free block design: Existence and construction results. Communications in Statistics: Theory Methods 12: 1–21. DOI: https://doi.org/10.1080/03610928308828438
How to Cite
Copyright (c) 2023 The Indian Journal of Agricultural Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The copyright of the articles published in The Indian Journal of Agricultural Sciences is vested with the Indian Council of Agricultural Research, which reserves the right to enter into any agreement with any organization in India or abroad, for reprography, photocopying, storage and dissemination of information. The Council has no objection to using the material, provided the information is not being utilized for commercial purposes and wherever the information is being used, proper credit is given to ICAR.