Abstract
In this paper, the contrasts belonging to any effect are divided into a number of subsets and factorial designs are proposed such that these subsets (called sub-effects) are orthogonally estimated with balance. Such designs have been called ‘partially balanced design with orthogonal sub-factorial structure’. These designs are important in the sense that these allow more flexibility in the choice of the designs retaining desirable properties such as orthogonality and partial balance and also provide more insight into the nature of the contrasts belonging to any factorial effect.
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Mandal, M., Das, P. (2018). Confounded Factorial Design with Partial Balance and Orthogonal Sub-Factorial Structure. In: Chattopadhyay, A., Chattopadhyay, G. (eds) Statistics and its Applications. PJICAS 2016. Springer Proceedings in Mathematics & Statistics, vol 244. Springer, Singapore. https://doi.org/10.1007/978-981-13-1223-6_11
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DOI: https://doi.org/10.1007/978-981-13-1223-6_11
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