| 摘要 | 第1-10页 |
| Abstract | 第10-17页 |
| 1 An Overview of GMC vis-a-vis the Existing Optimality Criteria | 第17-23页 |
| 2 Construction of Two-Level Regular GMC Designs | 第23-51页 |
| ·Introduction | 第23-24页 |
| ·Doubling Theory with Further Considerations | 第24-29页 |
| ·GMC 2~(n-m) Designs with 9N/32+1≤n≤5N/16 | 第29-35页 |
| ·Introduction | 第29-30页 |
| ·With the SOS Design of N/2 | 第30-32页 |
| ·With the SOS Design of 5N/16 | 第32-34页 |
| ·Constructing GMC 2~(n-m) Designs with 9N/32+1≤n≤5N/16 | 第34-35页 |
| ·GMC 2~(n-m) Designs with N/4+1≤n≤9N/32 | 第35-45页 |
| ·GMC 2~(n-m) Designs with n=N/4+1 | 第35-38页 |
| ·Constrcuting GMC 2~(n-m) Designs with N/4+1≤n≤9N/32 | 第38-44页 |
| ·A Comparison with MA Designs | 第44-45页 |
| ·GMC 2~(n-m) Designs in RC Yates Order | 第45-47页 |
·A Class of SOS Designs with n| 第47-51页 | |
| 3 Properties of Two-Level Regular GMC Designs | 第51-63页 |
| ·Aliasing Structures of GMC 2~(n-m) Designs | 第51-58页 |
| ·Preliminary Notations | 第51页 |
| ·With 5N/16+1≤n≤N/2 | 第51-53页 |
| ·With N/2+1≤n≤N-1 | 第53-56页 |
| ·With N/4+1≤n≤5N/16 | 第56-58页 |
| ·Second Order Degrees of Freedom | 第58-59页 |
| ·Optimal Foldovers of GMC 2~(n-m) Designs | 第59-63页 |
| ·Introduction | 第59-60页 |
| ·Main Results | 第60-63页 |
| 4 A Generalized GMC Criterion for Nonregular Designs | 第63-95页 |
| ·Introduction | 第63-64页 |
| ·Generalized AENP and GMC Criterion | 第64-70页 |
| ·Preliminary Notations | 第64-66页 |
| ·Generalized AENP | 第66-68页 |
| ·Generalized GMC Criterion | 第68-70页 |
| ·Relationships with the Existing Criteria | 第70-75页 |
| ·Relationship with MGA Criterion | 第70-72页 |
| ·Relationship with GMA Criterion | 第72-75页 |
| ·Relationship with MCE Criterion | 第75页 |
| ·GAENP and Geometric Isomorphism | 第75-77页 |
| ·Application of GGMC Criterion | 第77-83页 |
| ·Algorithm of Comparing Two Designs under GGMC Criterion | 第77-78页 |
| ·GGMC Projections of OA(18,2~13~7) | 第78-79页 |
| ·GGMC Designs of 16 runs and 20 runs | 第79-83页 |
| ·Modifications of GGMC Criterion | 第83-89页 |
| ·GAENP with Overall Aliased Severity Degree | 第83-85页 |
| ·GAENP with Threshold Aliased Severity Degree | 第85-88页 |
| ·GAENP with Ranked Component Effects | 第88-89页 |
| ·An Example:Plating Experiment | 第89-95页 |
| 5 Concluding Remarks | 第95-97页 |
| Acknowledgements | 第97-99页 |
| References | 第99-105页 |
| Resume | 第105页 |