Table 1 Comparative overview between full factorial and reduced design.
From: Evaluating the efficiency of formaldehyde degradation from aqueous environment by sonozone technique
Design aspect | Full factorial (486) | Reduced design (15) |
|---|---|---|
Objective | Exhaustive enumeration | Efficient inference with minimal runs |
Estimable effects | All main, interactions, higher-order | Main + selected 2-way; higher-order assumed negligible |
Orthogonality | High but costly | Maintained for primary effects |
Alias/confounding | Minimal | Controlled; acceptable for higher-order terms |
Power (primary outcomes) | Very high | Adequate for medium effects |
Cost/time | Prohibitive | Feasible |
Validation | Intrinsic via volume | External via confirmations and diagnostics |
