Strip-Plot Design is a restricted randomization experimental design where two factors are applied in perpendicular strips — one factor is applied in horizontal strips and another in vertical strips, creating a grid where each cell receives a unique combination of the two strip factors.
How Strip-Plot Design Works
- Row Strips: Factor A is applied to entire horizontal strips (e.g., temperature across a batch of wafers).
- Column Strips: Factor B is applied to entire vertical strips (e.g., etch time for a group of wafers).
- Intersections: Each row-column intersection gets a unique (A, B) combination.
- Error Structure: Three error terms — row strip, column strip, and intersection — reflecting the randomization restrictions.
Why It Matters
- Practical Constraints: Reflects real fab operations where some factors cannot be independently randomized for each run.
- Efficiency: When hardness of factor levels varies, strip-plot designs are more practical than fully randomized designs.
- Semiconductor: Common when batch factors (furnace temperature) are crossed with per-wafer factors.
Strip-Plot Design is experimenting with perpendicular constraints — a practical design for when two factors must each be applied to groups of experimental units.
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