In statistics, a fractional factorial design is a way to conduct experiments with fewer experimental runs than a full factorial design. Instead of testing...

If a full factorial design becomes too complex due to the sheer number of combinations, researchers can use a fractional factorial design. This method...

N = 92. If N is a power of 2, however, the resulting design is identical to a fractional factorial design, so Plackett–Burman designs are mostly used when...

In the statistical theory of factorial experiments, aliasing is the property of fractional factorial designs that makes some effects "aliased" with each...

of as a combination of a two-level (full or fractional) factorial design with an incomplete block design. In each block, a certain number of factors are...

obtained from a designed experiment, where a factorial design has been used. Full- and fractional-factorial designs are common in designed experiments for...

(econometrics-related experiments) Factor analysis Fractional factorial design Glossary of experimental design Grey box model Industrial engineering Instrument...

combinations. They also occur whenever a fractional factorial design is chosen instead of a full factorial design. Control group: a set of experimental units...

the design in ratio form. Version 9 incorporates split-plot factorial designs including two-level full and fractional factorials, general factorials and...

only 2 hands on each person. Incidence geometry Steiner system Fractional factorial design Colbourn & Dinitz 2007, pp.17−19 Stinson 2003, p.1 P. Dobcsányi...

estimate a first-degree polynomial model is to use a factorial experiment or a fractional factorial design. This is sufficient to determine which explanatory...

Robust parameter designs are very similar to fractional factorial designs (FFDs) in that the optimal design can be found using Hadamard matrices, principles...

management systems Total quality management (TQM) Design of experiments Fractional factorial design Optimal design Response surface methodology Continuous improvement...

of potential profiles increases exponentially. Consequently, fractional factorial design is commonly used to reduce the number of profiles to be evaluated...

qualitative. In a full factorial experiment all combinations of levels of the factors need to be tested. In a fractional factorial design only a subset of treatment...

constructing this design. The design consists of three distinct sets of experimental runs: A factorial (perhaps fractional) design in the factors studied...

some researchers have shown that OFAT can be more effective than fractional factorials under certain conditions (number of runs is limited, primary goal...

Fowlkes–Mallows index Fraction of variance unexplained Fractional Brownian motion Fractional factorial design Fréchet distribution Fréchet mean Free statistical...

are used for floor, and reversed brackets ⟧x⟦ or ]x[ for ceiling. The fractional part is the sawtooth function, denoted by {x} for real x and defined by...

Montgomery (2001, Section 5-3.7: Introduction to factorial designs; The two-factor factorial design; One observation per cell) Wilkinson (1999, p 596)...

In the design of experiments, optimal experimental designs (or optimum designs) are a class of experimental designs that are optimal with respect to some...

for designing factorial experiments plays an important role in scientific experiments and represents a route to the implementation of design of experiments...

Compare means Multiple comparison Designs Completely randomized Factorial Fractional factorial Plackett–Burman Taguchi Response surface methodology Polynomial...

What is the origin of the hypotheses which are studied? Given the basic design, the hypothesis and the particular conditions for the experiment, an experimental...

energy is not zero. Although the factorial function is defined only for integer arguments, it can be extended to fractional arguments using the gamma function...

Bayesian experimental design provides a general probability-theoretical framework from which other theories on experimental design can be derived. It is...

Nostrand Reinhold. Miller, A. (1997). "Strip-Plot Configuration of Fractional Factorials". Technometrics. 39 (2): 153–161. doi:10.2307/1270903. JSTOR 1270903...

(new) * Full Factorial (2-level & 3-level) * Adjustable Full Factorial * Fractional Factorial * Plackett-Burman * Space Filling * Central composite * Random...

a necessary condition for the existence of a balanced incomplete block design, that is, a system of subsets that satisfy certain prescribed conditions...

"Increased quercetinase production by Penicillium olsonii using fractional factorial design". Process Biochemistry. 40: 379. doi:10.1016/j.procbio.2004.01...