Multifactor Design Of Experiments Software
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Software that is used for designing factorial experiments plays an important role in
scientific experiment An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when ...
s and represents a route to the implementation of
design of experiments The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associ ...
procedures that derive from
statistical Statistics (from German: '' Statistik'', "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industr ...
and
combinatorial Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ap ...
theory. In principle, easy-to-use design of experiments (DOE) software should be available to all experimenters to foster use of DOE.


Background


Use of software

Factorial experimental design software drastically simplifies previously laborious hand calculations needed before the use of computers. During World War II, a more sophisticated form of DOE, called factorial design, became a big weapon for speeding up industrial development for the Allied forces. These designs can be quite compact, involving as few as two levels of each factor and only a fraction of all the combinations, and yet they are quite powerful for screening purposes. After the war, a statistician at Imperial Chemical,
George Box George Edward Pelham Box (18 October 1919 – 28 March 2013) was a British statistician, who worked in the areas of quality control, time-series analysis, design of experiments, and Bayesian inference. He has been called "one of the g ...
, described how to generate response surfaces for process optimization. From this point forward, DOE took hold in the chemical process industry, where factors such as time, temperature, pressure, concentration, flow rate and agitation are easily manipulated. DOE results, when discovered accurately with DOE software, strengthen the capability to discern truths about sample populations being tested: see Sampling (statistics). StatisticiansMark J. Anderson & Patrick J. Whitcomb (2016),
RSM Simplified: Optimizing Processes Using Response Surface Methods for Design of Experiments, 2nd Edition
', Productivity Press,
describe stronger multifactorial DOE methods as being more “
robust Robustness is the property of being strong and healthy in constitution. When it is transposed into a system, it refers to the ability of tolerating perturbations that might affect the system’s functional body. In the same line ''robustness'' ca ...
”: see
Experimental design The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associ ...
. As DOE software advancements gave rise to solving complex factorial statistical equations, statisticians began in earnest to design experiments with more than one factor (multifactor) being tested at a time. ''Simply stated, computerized multifactor DOE began supplanting one-factor-at-a-time experiments.'' Computer software designed specifically for designed experiments became available from various leading software companies in the 1980s and included packages such as JMP,
Minitab Minitab is a statistics package developed at the Pennsylvania State University by researchers Barbara F. Ryan, Thomas A. Ryan, Jr., and Brian L. Joiner in conjunction with Triola Statistics Company in 1972. It began as a light version of OMNITAB ...
, Cornerstone and Design–Expert. Notable benefits when using DOE software include avoiding laborious hand calculations when: * Identifying key factors for process or product improvements. * Setting up and analyzing general factorial, two-level factorial, fractional factorial and
Plackett–Burman design Plackett–Burman designs are experimental designs presented in 1946 by Robin L. Plackett and J. P. Burman while working in the British Ministry of Supply. Their goal was to find experimental designs for investigating the dependence of some measure ...
s. * Performing
numerical optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...
s. * Screening for critical factors and their interactions. * Analyzing process factors or mixture components. * Combining mixture and process variables in designs. * Rotating 3D plots to visualize response surfaces. * Exploring 2D contours with a computer mouse, setting flags along the way to identify coordinates and predict responses. * Precisely locating where all specified requirements meet using
numerical optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfi ...
functions within DOE software. * Finding the most desirable factor settings for multiple responses simultaneously. Today, factorial DOE software is a notable tool that engineers, scientists,
geneticists A geneticist is a biologist or physician who studies genetics, the science of genes, heredity, and variation of organisms. A geneticist can be employed as a scientist or a lecturer. Geneticists may perform general research on genetic processes ...
, biologists, and virtually all other experimenters and creators, ranging from
agriculturists An agriculturist, agriculturalist, agrologist, or agronomist (abbreviated as agr.), is a professional in the science, practice, and management of agriculture and agribusiness. It is a regulated profession in Canada, India, the Philippines, the U ...
to
zoologists This is a list of notable zoologists who have published names of new taxa under the International Code of Zoological Nomenclature. A * Abe – Tokiharu Abe (1911–1996) * Abeille de Perrin, Ab. – Elzéar Abeille de Perrin (1843–1910) * A ...
, rely upon. DOE software is most applicable to controlled, multifactor experiments in which the experimenter is interested in the effect of some process or intervention on objects such as crops,
jet engines A jet engine is a type of reaction engine discharging a fast-moving jet (fluid), jet of heated gas (usually air) that generates thrust by jet propulsion. While this broad definition can include Rocket engine, rocket, Pump-jet, water jet, and ...
,
demographics Demography () is the statistical study of populations, especially human beings. Demographic analysis examines and measures the dimensions and dynamics of populations; it can cover whole societies or groups defined by criteria such as edu ...
, marketing techniques, materials, adhesives, and so on. Design of experiments software is therefore a valuable tool with broad applications for all natural, engineering, and social sciences.


Notes

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External links


''Response Surface Methodology: Process and Product Optimization Using Designed Experiments, 4th Edition''



''DOE Simplified: Practical Tools for Effective Experimentation, 3rd Edition''

''RSM Simplified: Optimizing Processes Using Response Surface Methods for Design of Experiments, 2nd Edition''




Design of experiments Statistical software