Factorial Design
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Factorial and Fractional Factorial Designs with Randomization Restrictions - a Projective Geometric Approach
Two-level factorial and fractional factorial designs have played a prominent role in the theory and practice of experimental design. Though commonly used in industrial experiments to identify the significant effects, it is often undesirable to perform the trials of a factorial design (or, fractional factorial design) in a completely random order. Instead, restrictions are imposed on the randomi...
متن کاملDesign of experiments with multiple independent variables: a resource management perspective on complete and reduced factorial designs.
An investigator who plans to conduct an experiment with multiple independent variables must decide whether to use a complete or reduced factorial design. This article advocates a resource management perspective on making this decision, in which the investigator seeks a strategic balance between service to scientific objectives and economy. Considerations in making design decisions include wheth...
متن کاملFactorial designs: an overview with applications to orthodontic clinical trials.
Factorial designs for clinical trials are often encountered in medical, dental, and orthodontic research. Factorial designs assess two or more interventions simultaneously and the main advantage of this design is its efficiency in terms of sample size as more than one intervention may be assessed on the same participants. However, the factorial design is efficient only under the assumption of n...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS Some Characterizations of Affinely Full-dimensional Factorial Designs
A new class of two-level non-regular fractional factorial designs is defined. We call this class an affinely full-dimensional factorial design, meaning that design points in the design of this class are not contained in any affine hyperplane in the vector space over F2. The property of the indicator function for this class is also clarified. A fractional factorial design in this class has a des...
متن کاملDesign, analysis and presentation of factorial randomised controlled trials
BACKGROUND The evaluation of more than one intervention in the same randomised controlled trial can be achieved using a parallel group design. However this requires increased sample size and can be inefficient, especially if there is also interest in considering combinations of the interventions. An alternative may be a factorial trial, where for two interventions participants are allocated to ...
متن کاملIndicator Function and its Application in Two - level
State University of New York at Stony Brook 2A two-level factorial design can be uniquely represented by a polynomial indicator function. Therefore, properties of factorial designs can be studied through their indicator functions. This paper shows that indicator function is an effective tool in studying two-level factorial designs. Indicator function is used to generalize aberration criterion o...
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