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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

I-Optimal Design Calculator

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

I-Optimal Design

An I-optimal design is a design of experiments (DoE) method that selects experimental runs from a candidate set to minimize the average prediction variance over that candidate space. It is especially useful when the main goal is predicting the response well across the design region.

When to Use an I-Optimal Design

  • You want a design that supports prediction and response optimization.
  • The available factor combinations are constrained or irregular.
  • You need to limit the number of experimental runs.
  • Your experiment includes numeric factors, categorical factors, or both.

How to Create an I-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 I-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 precise estimation of model coefficients, use a D-optimal design. For constrained experiments where you want to compare both criteria, use the custom optimal design calculator.

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