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**Variations on split plot and split block experiment designs.**
*(English)*
Zbl 1144.62061

Wiley Series in Probability and Statistics. Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-08149-5/hbk; 0-470-10858-4/ebook). xiv, 270 p. (2007).

Contents: The standard split plot experiment design; Standard split block experiment design; Variations of the split plot experiment design; Variations of the split block experiment design; Combinations of SPEDs and SBEDs; World records for the largest analysis of variance table (259 lines) and for the most error terms (62) in an analysis of variance; Augmented split plot experiment designs; Augmented split block experiment designs; Missing observations in split plot and split block experiment designs; Combining split plot or split block designed experiments over sites; Covariance analyses for split plot and split block experiment designs.

Design of experiments is one among the very important branches of mathematics with very wide applications to biological sciences, physical sciences and medical sciences. This consists mainly of two parts. One is the analysis of experiments and the second is the construction and combinatorial problems. There are excellent textbooks on the analysis of designs; to name a few, O. Kempthorne [The design and analysis of experiments. Wiley (1952)] useful for statisticians, and the book of W.G. Cochran and G.M. Cox [Experimental designs. Wiley (1950), for the second ed. from 1992 see Zbl 0850.62005] which is useful to practical researchers. But these books have not covered fully some other sophisticated designs. The present book supplements the dearth of availability of such books treating the analysis of some more complex designs like split plot and split block designs. The authors have excellently dealt with this part of the subject and studied the covariance analysis of these designs and also, lastly, the SAS codes.

Design of experiments is one among the very important branches of mathematics with very wide applications to biological sciences, physical sciences and medical sciences. This consists mainly of two parts. One is the analysis of experiments and the second is the construction and combinatorial problems. There are excellent textbooks on the analysis of designs; to name a few, O. Kempthorne [The design and analysis of experiments. Wiley (1952)] useful for statisticians, and the book of W.G. Cochran and G.M. Cox [Experimental designs. Wiley (1950), for the second ed. from 1992 see Zbl 0850.62005] which is useful to practical researchers. But these books have not covered fully some other sophisticated designs. The present book supplements the dearth of availability of such books treating the analysis of some more complex designs like split plot and split block designs. The authors have excellently dealt with this part of the subject and studied the covariance analysis of these designs and also, lastly, the SAS codes.

Reviewer: Ratnakaram Nava Mohan (Nankai)

### MSC:

62K10 | Statistical block designs |

62J10 | Analysis of variance and covariance (ANOVA) |

62-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics |