| 中文摘要 | 第1-8页 |
| Abstract | 第8-14页 |
| Chapter 1 Background and Contributions | 第14-24页 |
| ·Optimality criteria | 第14-18页 |
| ·Some results about two-level GMC designs | 第18-22页 |
| ·Main contributions of this thesis | 第22-24页 |
| Chapter 2 Three-level Designs with General Minimum Lower order Confounding | 第24-42页 |
| ·The ACNP and GMC criterion of three-level design | 第24-26页 |
| ·Relationship of GMC criterion with MA and CE criteria | 第26-32页 |
| ·Relationship with MA criterion | 第27-28页 |
| ·Relationship with CE criterion | 第28-32页 |
| ·More results about three-level GMC designs | 第32-36页 |
| ·A catalogue of three-level GMC and MA designs | 第36-40页 |
| ·27-run designs | 第38页 |
| ·81-run designs | 第38-39页 |
| ·243-run designs | 第39-40页 |
| ·Remark and discussion | 第40-42页 |
| Appendix Ⅰ Catalog of 3n mGMC Designs with 81 and 243 Runs | 第42-52页 |
| Appendix Ⅱ A Program Listing with MATLAB Software 7.0 | 第52-56页 |
| Chapter 3 Further Study on Two-level GMC Designs | 第56-84页 |
| ·Introduction | 第56-57页 |
| ·The constructed 2n mGMC designs with n ≥ N/2 | 第57-79页 |
| ·Four simple cases | 第60-70页 |
| ·General cases | 第70-79页 |
| ·The constructed 2n mGMC designs with 5N/16 ≤ n < N/2 | 第79-82页 |
| ·Remark and discussion | 第82-84页 |
| Chapter 4 s-level Designs with General Minimum Lower Order Con-founding | 第84-110页 |
| ·The ACNP and GMC criterion for s-level designs | 第84-89页 |
| ·The relationship of GMC and other criteria | 第89-96页 |
| ·Connection with MR criterion | 第89-91页 |
| ·Connection with MA criterion | 第91-93页 |
| ·Connection with CE criterion | 第93页 |
| ·Connection with MEC criterion | 第93-96页 |
| ·Results of s-level GMC designs via complementary sets | 第96-100页 |
| ·s-level GMC designs with (N/s + 1)/2 < n ≤ (N 1)/(s 1) | 第100-109页 |
| ·s-level GMC designs with N/s < n ≤ (N 1)/(s 1) | 第101-105页 |
| ·s-level GMC designs with (N/s + 1)/2 < n ≤ N/s | 第105-109页 |
| ·Remark and discussion | 第109-110页 |
| Chapter 5 Construction of three-level GMC designs | 第110-128页 |
| ·Introduction | 第110-111页 |
| ·A key theorem | 第111-118页 |
| ·GMC 3n mdesigns with n = (N 3r)/2 + i,i = 0,1,2,3 | 第118-127页 |
| ·Remark and discussion | 第127-128页 |
| Chapter 6 Three-level Designs with General Minimum Lower order Confounding Based on Degrees | 第128-140页 |
| ·The ACNP-D and GMC-D criterion | 第128-132页 |
| ·Main results | 第132-136页 |
| ·A catalogue of GMC-D and GMC designs | 第136-137页 |
| ·Remark and discussion | 第137-140页 |
| Appendix Ⅲ Catalog of 3n mGMC-D Designs with 81 and 243 Runs | 第140-148页 |
| Bibliography | 第148-154页 |
| Acknowledgement | 第154-156页 |
| Resume | 第156-157页 |
