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We also provide connected main effect plans for mixed level designs.
Optimal main effect plans with nonorthogonal blocks of size two each are constructed.
Resolution III experiments with complex confounding patterns, often called main effect plans.
Using these block designs, optimal block designs with nested rows and columns are constructed for some main effect plans.
These designs are known to be optimal main effect plans in a very broad sense in the absence of interactions.
We consider factorial designs in these set-ups where the number of levels of each factor, including the blocking factor, is small and obtain main effect plans which are optimal for the estimation of all the treatment factors.
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Since these designs are only main effects plans and since the number of runs are greater than the number of active factors (main effects), there are plenty of degrees of freedom unused for identifying and estimating interactions of factors.
For odd k≥3 and certain cases where b is a multiple of k, we show how to construct blocked main effects plans that are optimal under most widely used optimality criteria.
In this paper, we consider experimental situations where a main effects plan is to be used to study m two-level factors using n runs which are partitioned into b blocks of equal size k= n/b.
In this paper we consider experimental situations in which m 2-level factors are to be studied using a 2-level main effects plan where n runs are to be partitioned into b blocks of different sizes.
In this article experimental situations are considered where a main effects plan is to be used to study m two-level factors using n runs, partitioned into b blocks, ith block having size ki, where ∑i= 1bki="n.
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