Open AccessBook
A Comprehensive Guide to Factorial Two-Level Experimentation
TLDR
Fractional Factorial Design Examples: The basics of fractional factorial designs are discussed in detail in this article, where the authors present an analysis of full-factorial experiments with two-level factors.Abstract:
Full Factorial Designs- to Full Factorial Designs with Two-Level Factors- Analysis of Full Factorial Experiments- Common Randomization Restrictions- More Full Factorial Design Examples- Fractional Factorial Designs- Fractional Factorial Designs: The Basics- Fractional Factorial Designs for Estimating Main Effects- Designs for Estimating Main Effects and Some Two-Factor Interactions- Resolution V Fractional Factorial Designs- Augmenting Fractional Factorial Designs- Fractional Factorial Designs with Randomization Restrictions- More Fractional Factorial Design Examples- Additional Topics- Response Surface Methods and Second-Order Designs- Special Topics Regarding the Design- Special Topics Regarding the Analysis- Appendices and Tables- Upper Percentiles of t Distributions, t- Upper Percentiles of F Distributions, F- Upper Percentiles for Lenth t Statistics, and- Computing Upper Percentiles for Maximum Studentized Residual- Orthogonal Blocking for Full 2 Factorial Designs- Column Labels of Generators for Regular Fractional Factorial Designs- Tables of Minimum Aberration Regular Fractional Factorial Designs- Minimum Aberration Blocking Schemes for Fractional Factorial Designs- Alias Matrix Derivation- Distinguishing Among Fractional Factorial Designsread more
Citations
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Journal ArticleDOI
Caesarean section surgical techniques (CORONIS): a fractional, factorial, unmasked, randomised controlled trial.
Edgardo Abalos,Addo,Peter Brocklehurst,M El Sheikh,Barbara Farrell,S Gray,Pollyanna Hardy,Edmund Juszczak,J E Mathews,Masood Sn,E Oyarzun,J Oyieke,Jai Bhagwan Sharma,Patsy Spark +13 more
TL;DR: Findings suggest that any of these surgical techniques used for caesarean section technique in intervention pairs is acceptable, however, longer-term follow-up is needed to assess whether the absence of evidence of short-term effects will translate into an absence of long- term effects.
Journal ArticleDOI
Application of fractional factorial designs to study drug combinations
TL;DR: It is shown how the sequential use of two‐level and three‐level fractional factorial designs can screen for important drugs and drug interactions, as well as determine potential optimal drug dosages through the use of contour plots, to investigate a biological system with HSV‐1 and six antiviral drugs.
Journal ArticleDOI
Combining two-level and three-level orthogonal arrays for factor screening and response surface exploration
TL;DR: In this article, the authors introduced a new class of composite designs based on a two-level factorial design and a three-level orthogonal array for factor screening and response surface modeling.
Journal ArticleDOI
R Package FrF2 for Creating and Analyzing Fractional Factorial 2-Level Designs
TL;DR: The R package FrF2 offers both regular and non-regular fractional factorial 2-level designs, in the regular case with blocking and split plot facilities and algorithms for ensuring estimability of certain two-factor interactions.
References
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Journal ArticleDOI
The design of optimum multifactorial experiments
R. L. Plackett,J. P. Burman +1 more
Book
Experiments: Planning, Analysis, and Parameter Design Optimization
C. F. Jeff Wu,Michael S. Hamada +1 more
TL;DR: This book discusses Factorial and Fractional Factorial Experiments at Three Levels, Robust Parameter Design for Signal-Response Systems, and other Design and Analysis Techniques for Experiments for Improving Reliability.
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Experimental Designs Balanced for the Estimation of Residual Effects of Treatments
TL;DR: In this paper, the authors present a method for estimating the residual effect of previous treatments on the result obtained for any given treatment, and a method of constructing balanced designs for the estimation of these residual effects.
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Quick and easy analysis of unreplicated factorials
TL;DR: In this paper, the size of contrasts in factorial and fractional factorial designs is measured in terms of the original units of measurement, and the results are given in a direct association with the data may make the analysis easier to explain.
Journal ArticleDOI
A new class of supersaturated designs
TL;DR: In this paper, a new class of supersaturated designs is constructed using half fractions of Hadamard matrices, which can investigate up to N − 2 factors in N/2 runs.