Block Designs: A Randomization Approach: Volume I: Analysis: Analysis v. 1 (Lecture Notes in Statistics) Book

This volume is devoted to the analysis of experiments in block designs; a second volume will deal with the constructions of block designs. This sequence is necessary because, in the adopted approach, one cannot understand the advantages of a design without knowing the model on which the analysis is based. Chapter 1 introduces the ideas essential to mastering the model building procedures. Chapter 3 is the core of this volume; it presents a randomization model for a general block design and its implications for the analysis. It offers ideas and methods essential for any further study of block designs within the randomization approach. This volume is aimed at an advanced audience, including students at the postgraduate level well acquainted with basic texts on experimental design, and also research workers interested in designing and analyzing experiments with full understanding of the principles. Although the monograph does not attempt an exhaustive exposition of the theory of experimental design within the randomization approach, it does provide a basis for further research. Tadeusz Calin'ski taught statistics, biometry and experimental design at the Agricultural University of Poznan' from 1953 to 1988. He obtained the title of Professor of Natural Sciences in 1974. He was head of the Department of Mathematical and Statistical Methods from 1968 to 1984 and is now Professor Emeritus. In 1998 Professor Calin'ski was awarded the doctoral Degree honoris causa by the Agricultural University of Poznan'. He has published over 140 articles in scientific journals. He has served on the editorial boards of the Journal of Statistical Planning and Inference, Biometrics, and several Polish scientific journals. Sanpei Kageyama has been Professor of Statistics and Discrete Mathematics in the Department of Mathematics, Hiroshima University, Japan, since 1992. He has published over 240 articles in scientific journals. Professor Kageyama is a Foundation Fellow of the Institute of Combinatorics and its Applications, and a council member of the Mathematical Society of Japan. He has served on the editorial boards of the Journal of Japan Statistical Society, Utilitas Mathematics, and the Journal of Statistical Planning and Inference.Read More