## Design and Analysis of Experiments, Volume 2: Advanced Experimental DesignThe development and introduction of new experimental designs in the last fifty years has been quite staggering, brought about largely by an ever-widening field of applications. Design and Analysis of Experiments, Volume 2: Advanced Experimental Design is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth by Oscar Kempthorne half a century ago and updates it with the latest developments in the field. Designed for advanced-level graduate students and industry professionals, this text includes coverage of incomplete block and row-column designs; symmetrical, asymmetrical, and fractional factorial designs; main effect plans and their construction; supersaturated designs; robust design, or Taguchi experiments; lattice designs; and cross-over designs. |

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### Contents

1 | |

2 Balanced Incomplete Block Designs | 71 |

3 Construction of Balanced Incomplete Block Designs | 104 |

4 Partially Balanced Incomplete Block Designs | 119 |

5 Construction of Partially Balanced Incomplete Block Designs | 158 |

6 More Block Designs and Blocking Structures | 189 |

7 TwoLevel Factorial Designs | 241 |

8 Confounding in 2n Factorial Designs | 279 |

15 Supersaturated Designs | 596 |

16 Search Designs | 608 |

17 RobustDesign Experiments | 633 |

18 Lattice Designs | 649 |

19 Crossover Designs | 684 |

Appendix A Fields and Galois Fields | 716 |

Appendix B Finite Geometries | 721 |

Appendix C Orthogonal and Balanced Arrays | 724 |

9 Partial Confounding in 2n Factorial Designs | 312 |

10 Designs with Factors at Three Levels | 359 |

11 General Symmetrical Factorial Design | 393 |

12 Confounding in Asymmetrical Factorial Designs | 466 |

13 Fractional Factorial Designs | 507 |

14 Main Effect Plans | 564 |

Appendix D Selected Asymmetrical Balanced Factorial Designs | 728 |

Appendix E Exercises | 736 |

749 | |

Author Index | 767 |

771 | |

### Other editions - View all

Design and Analysis of Experiments, Advanced Experimental Design Klaus Hinkelmann,Oscar Kempthorne No preview available - 2005 |

### Common terms and phrases

2-factor interactions analysis Applications arrangement array association assume balanced belonging BIB design Chapter columns comparisons complete components consider construct contains Continued contrasts corresponding course defined Definition denote described discussed effects and interactions elements equal equations error estimate example exist experiment experimental expressed factors fractional function give given given in Table hence illustrate incomplete block designs interactions intrablock lattice leads levels linear main effects matrix Mean Square method observations obtained occur orthogonal parameters partial partitions PBIB possible proc procedure properties random referred replicates represents residual respectively satisfying Source squares Statistical structure sum of squares Suppose systems of confounding Table Theorem title3 treatment combinations Value variance vector write yields