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Design of Experiments (DoE)

Screening design

You have many possible factors and little knowledge.

Full factorial design

You have only a few factors and want the full picture.

Optimization design

You already know the important factors and want to optimize.

Robust design

You already know the important factors and want stable settings that are less sensitive to noise.

Mixture design

Your factors are ingredients or proportions.

Optimal design

You have constraints or no standard design fits your situation.

Factors

No. of Factors:
No. of Replicates:
No. of Blocks:
No. of Center Points:
Factor Low High

Plan


Run Order Factor A Factor B
1-1-1
2-11
31-1
411

How-to

D-Optimal Design Calculator

Here you can create a custom D-optimal design online. Define your numeric or categorical factors, enter the available levels, choose the number of runs and select the model you want to estimate. You can also exclude forbidden factor combinations.

D-Optimal Design

A D-optimal design is a design of experiments (DoE) method that selects an efficient set of experimental runs from a larger set of possible candidates. It is useful when a standard factorial or response surface design does not fit the practical constraints of an experiment.

When to Use a D-Optimal Design

  • The available factor levels do not form a standard design.
  • Some combinations of factor levels are impossible, unsafe, or too expensive.
  • You need to limit the number of experimental runs.
  • Your experiment includes both numeric and categorical factors.

How to Create a D-Optimal Design

  1. Select Custom Optimal Design in the DoE calculator.
  2. Add your factors, select their types, and enter the available levels.
  3. Choose the number of runs and the model that should be estimated.
  4. Select D-optimal as the criterion.
  5. Add forbidden combinations if some candidate runs must be excluded.
  6. Generate the design and export the resulting test plan to Excel.

If your main goal is prediction over the candidate space, use an I-optimal design. For a broader overview of both criteria, see the custom optimal design calculator. For experiments without special constraints, you can also create a full factorial design or a fractional factorial design.

Cite numiqo: numiqo Team (2026). numiqo: Online Statistics Calculator. numiqo e.U. Graz, Austria. URL https://numiqo.com

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