Advanced Statistical Pre-processing
• Data Normalization
Raw Data (Comma Separated)
Input only positive values (Y > 0) for Box-Cox logic.
Transformation Parameter (λ)
0 (Natural Log)Optimal λ Search
Distribution Before
Distribution After (Transformed)
Transformed Data Traceability
Obs #
Original Value
Transformed (W)
Mathematical Proof: If λ ≠ 0, W = (Y^λ - 1) / λ. If λ = 0, W = ln(Y). This transformation stabilizes variance
and normalizes data for subsequent Cpk/Ppk analysis[cite: 66, 172].