JMP® for Design Of Experiments
To reveal or model relationships between an input or factor and an output or response, the best approach is to deliberately change the first and see whether the second changes, too: Actively manipulating factors according to a pre-specified design is the best way to gain useful, new understanding.
However, whenever there is more than one factor – that is, in almost all real-world situations – a design that changes just one factor at a time is essentially useless. To properly uncover how factors jointly affect the response, you need to use design of experiments (DOE).
JMP offers a complete library of tried and tested classical DOE designs, but also an innovative custom design capability that tailors your design to answer specific questions without wasting precious resources. Once the data has been collected, JMP streamlines the analysis and model building so you can easily see the pattern of response, identify active factors and optimize responses.
DOE is a practical and ubiquitous approach for exploring multi-factor opportunity spaces, and JMP offers leading-edge capabilities for design and analysis in a form you can easily use.
- Custom Designs
- Classical Designs
- Other Designs
- Optimize and Simulate
With two factors, a Full Factorial design explores your opportunity space by arranging points in a square. But you may already know that the area you want to explore is not square, in which case using a classical design forces you to compromise. The Custom Designer involves no compromise and always makes the best use of your experimental budget. Using its computer-generated designs allows you to tackle a much wider range of design challenges, but all within a unified framework. You can include process and mixture factors within the same design, use hard- and very hard-to-change factors for situations in which randomization is restricted, and define specific model terms to be estimable only “if possible,” building supersaturated designs that can screen for a larger number of factors than available runs. Finally, the Custom Designer allows you to perform sample size calculations to determine whether your experimental investment is likely to be worthwhile.
Ronald Fisher first introduced four enduring principles of DOE: The factorial principle, randomization, replication and blocking. But until relatively recently, generating (and then analyzing) a design to exploit these principles relied primarily on hand calculation. Despite this burden, the ingenuity of practitioners over more than 80 years has led to a series of widely applied design families adapted to meet specific situations and experimental objectives. JMP offers all of the classical design types you would expect, including Full Factorial, Screening, Response Surface, Mixture and Taguchi Array. After defining factors and responses, JMP lets you pick an appropriate design from those listed and provides various design evaluation tools, such as prediction variance profiles and FDS plots, to assess your selection before committing any resources. Once the runs have been conducted, analysis is straightforward thanks to the pre-built JMP scripts that are stored in your data table during the design process.
Even when there is no intrinsic variability in the response, DOE still finds application in exploring highly dimensional factor spaces efficiently. To meet this situation, JMP provides Space-Filling designs, which are typically analyzed with the Gaussian Process smoother to make a surrogate model with low prediction bias and variance. JMP can also generate and analyze Choice Designs in which consumers or users are asked to state their preferences between alternatives, including price as a factor if desired. Finally, JMP provides designs for Accelerated Life Tests and Nonlinear models. And if needed, you can add more design families to JMP through its scripting language, JSL.
Although vital, design is only half of DOE. No matter which design you decide to use, JMP makes the subsequent analysis as easy as possible. Depending on the situation, the table containing your design will automatically contain the right script to analyze your results, usually via the Screening or Fit Model Platform. With multiple responses, you can simultaneously fit different models with Stepwise refinement using a chosen stopping rule. When you have built models you think are useful, The various Profilers in JMP allow you to interactively work with them and visually identify viable operating regimes and factor set points. No matter how complex your problem, The built-in Optimizer in JMP can perform the inevitable trade-off between responses with a single click. Once you have the sweet spot, you can then use the integrated Simulator to see how robust this is likely to be in practice.