Block Designs: A Randomization Approach

1. Front Matter

   Pages i-xii

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2. Constructional Approaches and Methods

   • Tadeusz Caliński, Sanpei Kageyama

   Pages 1-62

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3. Designs with Full Efficiency for Some Contrasts

   • Tadeusz Caliński, Sanpei Kageyama

   Pages 63-160

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4. Designs with No Full Efficiency

   • Tadeusz Caliński, Sanpei Kageyama

   Pages 161-228

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5. Resolvable Designs

   • Tadeusz Caliński, Sanpei Kageyama

   Pages 229-279

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6. Special Designs

   • Tadeusz Caliński, Sanpei Kageyama

   Pages 281-308

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7. Back Matter

   Pages 309-357

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The book is composed of two volumes, each consisting of five chapters. In Vol­ ume I, following some statistical motivation based on a randomization model, a general theory of the analysis of experiments in block designs has been de­ veloped. In the present Volume II, the primary aim is to present methods of that satisfy the statistical requirements described in constructing block designs Volume I, particularly those considered in Chapters 3 and 4, and also to give some catalogues of plans of the designs. Thus, the constructional aspects are of predominant interest in Volume II, with a general consideration given in Chapter 6. The main design investigations are systematized by separating the material into two contents, depending on whether the designs provide unit efficiency fac­ tors for some contrasts of treatment parameters (Chapter 7) or not (Chapter 8). This distinction in classifying block designs may be essential from a prac­ tical point of view. In general, classification of block designs, whether proper or not, is based here on efficiency balance (EB) in the sense of the new termi­ nology proposed in Section 4. 4 (see, in particular, Definition 4. 4. 2). Most of the attention is given to connected proper designs because of their statistical advantages as described in Volume I, particularly in Chapter 3. When all con­ trasts are of equal importance, either the class of (v - 1; 0; O)-EB designs, i. e.

• Variance
• mathematical statistics
• probability
• statistics

• Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Poznań, Poland

  Tadeusz Caliński

• Department of Mathematics, Graduate School of Education Hiroshima University, Higashi-Hiroshima, Japan

  Sanpei Kageyama

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