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Face-centered central composite design

As explained in Experimentation for Engineers

A central composite experimental design whose axial points lie at the centers of the faces of the factor-space region.

A face-centered central composite design (CCD) samples a two-parameter space on a three-by-three grid. In production experiments, it measures markout profit across parameter edges, center, and corners so interpolation can search for an effective combination. section 4.2.1

Trading-parameter experiment

For threshold values 0.5, 1.0, and 1.5 and order sizes 1, 1.5, and 2, the design produces nine settings, including (1.0, 2.0) and all four corners. Measure aggregate markout profit at each setting, then interpolate across the square. section 4.2.1

Figure 4.15 Central composite design (CCD), a design for a 2D RSM experiment. Adding four corner points enables the interpolation to work well across the full area of the square.
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The diagram shows how adding corner points extends interpolation from the edges and center across the full square. section 4.2.1

Generate the design directly from the parameter levels:

  • Use the Cartesian product of threshold and order-size values to obtain every planned combination. section 4.2.1

How Experimentation for Engineers covers it

How deep it goes
Explains the two-parameter geometry and nine-point construction, but defers more efficient designs beyond two dimensions.
Examples
Uses threshold and order-size levels to generate nine tuples for measuring markout profit.
What it assumes
Assumes a two-parameter response-surface experiment and measurable aggregate responses at selected settings.
What you can do after
Apply it via Python to enumerate parameter settings for a production experiment.
How it connects
Connects central composite design with response surface methodology, interpolation, and experimental measurement.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Experimentation for Engineers. The section links point to the parts of the book it draws on.