Confounding and Fractional Replication in Factorial Design

Abstract

In factorial experiments when the number of factors or the levels of factors are increased the number of treatment combinations increased rapidly. Also, it becomes difficult to maintain the homogeneity between experimental units. To overcome the decrease of the experimental units, we need to decrease the number of those treatments by using a confounded design (complete and partial) and fractional replication design.

A factorial experiment for in randomized complete block design with four blocks has been applied, for the aim of comparison among factorial randomized complete block design, confounded designs and fractional replication design in applied factorial experiments.

Key Words: Factorial Experiment, Complete Confounding, Partial Confounding, Half fractional Replication.

Confounding and Fractional Replication in Factorial Design