Balance and Efficiency:Classification of Notions

  • Tadeusz Caliński
  • Sanpei Kageyama
Part of the Lecture Notes in Statistics book series (LNS, volume 150)


In Chapter 2, two notions of balance have been considered, one based on equality of weighted concurrences (Section 2.4.1) and the other based on the proportion-ality of them (Section 2.4.2). These notions have been formulated and discussed in terms of constructional features of the design, leaving their statistical impli-cations to the time when a model for the variables observed in the experiment is adopted and its properties are fully established. Because this task has been accomplished in Chapter 3, it is now possible to consider the statistical meaning of the various notions of balance, those considered in Section 2.4 in particular.


Block Design Replication Number Efficiency Factor General Balance Orthonormal Eigenvector 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Tadeusz Caliński
    • 1
  • Sanpei Kageyama
    • 2
  1. 1.Department of Mathematical and Statistical MethodsAgricultural University of PoznańPoznańPoland
  2. 2.Department of Mathematics, Faculty of School EducationHiroshima UniversityHigashi-Hiroshima 739Japan

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