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- Design
- 2^(4-1)
- Resolution
- IV
- Est. power
- 83%
Design matrix
Calculator Library / DOE
Plan a practical design of experiments study by defining factors, levels, and response goals. The app recommends a 2-level factorial strategy, estimates run count and replications, and generates a randomized screening matrix for quick use on the floor.
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Design matrix
Planner
Screening logic: 2^k full or 2^(k-p) fractional with replication for power
Use one factor per line in the format: `Factor, Low, High`. This planner is optimized for 2-level screening designs. Everything recalculates live as you type.
Factors
| Factor | Low | High | Priority |
|---|
Run Matrix
Instructions
Enter each factor with a low and high level. Then choose the response goal, expected effect size, confidence target, and the maximum number of runs the operation can realistically support.
The planner recommends either a full factorial or a screening fractional factorial, suggests how many replications are needed to hit the power target, and generates a randomized 2-level run matrix that can be executed directly. Use Copy link or Report to share this exact plan.
This is a planning tool for quick DOE setup. Before launch, confirm measurement-system adequacy, blocking strategy, safety constraints, and any factor interactions that are too important to alias in a fractional design.
This tool helps teams move from trial-and-error thinking to structured experimentation. It supports factor planning, level structure, sample-size thinking, power direction, and randomized run generation for fast manufacturing DOE setup.
Use it when you need to screen variables, compare settings systematically, or design a short-cycle experiment instead of changing one thing at a time without learning discipline.
| Concept | Meaning | Why It Matters |
|---|---|---|
| Factor | An input variable you intentionally change | Examples include pressure, temperature, feed rate, or dwell time. |
| Level | A chosen setting for that factor | Two-level designs are common for fast screening work. |
| Full factorial | All combinations are tested | Strong learning, but run count grows quickly. |
| Fractional factorial | Only a structured subset is tested | Useful when time and cost are constrained. |
Suppose a sealing process may be affected by pressure, temperature, and dwell time. A two-level full factorial design with three factors requires eight runs before replication. That is far stronger than making one setting change per shift and guessing what actually drove the output.
The planner helps define that structure up front so the experiment teaches cause and effect rather than generating ambiguous anecdotes.
DOE exposes interactions and gives cleaner learning faster. One-factor-at-a-time testing often misses how variables work together.
Use it when the factor count is manageable and the team needs stronger visibility into interactions, not just screening.
It reduces the chance that drift, shift changes, or time-based effects are mistaken for factor effects.
Starting the experiment without defining the response, factor ranges, and success criteria clearly enough to learn from the runs.
Yes, especially for process optimization, validation, yield improvement, and troubleshooting where variable interaction is likely.
Use the workbook to keep the supporting statistics and defect-performance calculations close to the experimental learning.
Use DMAIC when the DOE is part of a broader variation-reduction or yield-improvement project.