A central composite design augments a factorial portion with axial points and replicated centre points. It supports a full quadratic response model: intercept, linear terms, cross-products and squared coordinates. Centre-point replication estimates pure error. Choosing the axial distance appropriately gives a rotatable design.
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Central Composite Design (CCD) is an experimental design used in response surface methodology (RSM) to optimize a process or a product. It is particularly useful in situations where the relationship between the independent variables (factors) and the response variable is not well understood. CCD helps in fitting a second-order (quadratic) model, which can capture curvature in the response surface.