Abstract

Asymmetric confounded factorial designs are important and needed in practice due to the fact that many times the levels of factors are different and availability of homogeneous blocks is also a problem in sectors like agriculture. There are various methods available to construct blocks for confounded asymmetric factorial designs; however the methods are intricate. One of the methods is developed by Das and Giri, in which asymmetrical designs are converted to symmetrical factorial design first. In this article a simple technique for the construction of blocks in confounded asymmetric factorial designs is proposed. The constructed designs will also be balanced. This technique is specifically useful for the construction of s × 2n design with blocks of size s × 2n−1(s = 3, 4) and 2 × 3n design with blocks of size 2×3n(n = 2, 3). Further, the method to identify the confounded effect in asymmetrical factorial design is also discussed.

Author: Bharati. Y. Taware, Chhaya D. Sonar

Received on: September, 2024

Accepted on: February, 2025