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@article{193788,
        author = {R. Vanitha and M.Pachamuthu},
        title = {On the Construction of Symmetrical Factorial Experiments with Partial Confounding},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {10},
        pages = {1496-1500},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=193788},
        abstract = {Only one element may be examined at a time in the basic designs. Factorial experiments are used to examine several factors at once. There will be more treatment combinations if the factorial design's variables and levels are increased. Only a portion of the whole factorial experiment may yield information on the main effects and lower order interactions. The number of experimental units in a single replicate itself grows significantly as the number of variables and levels rises concurrently. This results in an excessively high block size, which rules out the blocks' homogeneity. So, the experimental error will be increases and the precision of the design will decrease. This limitation of factorial experiment can be overcome by the technique of reducing the block size. This is possible when the interaction contrast and the contrast between the blocks are identical they are given by the same fraction. As a result, the block effects and interaction effects are combined and cannot be distinguished from one another. Blocks have confused the impact of interactions. Information on the muddled effects is obviously lost. By reducing the block size, it is now possible to estimate the major impacts and additional interactions more precisely. In this paper, introducing the new method of construction of 25 factorial experiments for F1F4F5 and F2F3F5 are partially confounded in four blocks through application.},
        keywords = {ANOVA, Factorial Experiments, Partial Confounding, RBD, Replication},
        month = {March},
        }