ENBIS-17 in Naples

9 – 14 September 2017; Naples (Italy) Abstract submission: 21 November 2016 – 10 May 2017

A Generalized Maximum Entropy Approach for Analyzing Unreplicated Factorial Designs

11 September 2017, 18:10 – 18:30

Abstract

Submitted by
Carla Vivacqua
Authors
Inara Francoyse de S. Pereira (Universidade Federal do Rio Grande do Norte), Carla A. Vivacqua (Universidade Federal do Rio Grande do Norte), Andre Luis S. de Pinho (Universidade Federal do Rio Grande do Norte)
Abstract
Studies to investigate the effects of various factors on processes are common. Factorial experiments are widely used in these cases. There are situations where replication becomes impractical due to lack of resources or time. One popular method for analyzing unreplicated factorial designs is based on normal probability plots. Disadvantages of this approach include subjectivity and difficulty of interpretation, especially when the number of treatments is small and the magnitude of the effect is moderate. This presentation aims to discuss an alternative way to evaluate factorial designs. The proposed approach is based on generalized maximum entropy. First, we present the construction of the method and show how to use it to identify active effects. Next, a set of case studies are illustrated and comparisons between both approaches are made. Then, a simulation study indicates that the generalized maximum entropy approach makes it easier to identify active effects.

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