Uniformity of Mixed Two- and Four-Level Designs under Quaternary Codes

Key Points

• The central aim is to transform mixed two- and four-level designs into two-level designs and study their uniformity via wrap-around L2-discrepancy.
• Applied two types of quaternary coding mapping to transform designs.
• Studied uniformity characteristics measured by wrap-around L2-discrepancy.
• Calculated lower bounds for wrap-around L2-discrepancy in mixed designs.
• Obtained lower bounds for wrap-around L2-discrepancy for both design types.
• Demonstrated tightness of bounds through three numerical examples.
• These bounds serve as benchmarks for constructing uniform mixed designs.