Block Designs for Fractional Factorial Experiments with Replication

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1978 · Volume 40 · Issue 1

DOI: 10.1111/j.2517-6161.1978.tb01650.x

Abstract

This paper describes how incomplete block designs may be used to provide blocking plans for fractions of symmetrical factorial experiments. These designs introduce some replication, but provide a wide range of block sizes, from two units per block upwards. The blocking does not alter the aliasing of the design, and all estimable factorial effects are partially confounded, their estimates being mutually orthogonal. The analysis of these designs is described.

Keywords

fractional replication, block design, factorial structure, analysis, confounding

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