Listy Biometryczne - Biometrical Letters Vol. 35(1998), No. 2, 107-115


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ON PROPERTIES AND MODELS IN THE BLOCK DESIGN THEORY*

Radosław Kala

Department of Mathematical and Statistical Methods,
Agricultural University of Poznan,
Wojska Polskiego 28, 60-637 Poznan, Poland


The theory of block designs is composed of some general ideas, various properties, and different models. In this note we show interrelations between them indicating, in particular, their sensibility and usefulness in specific experimental situations. We start from the most classic fixed model, which seems to be the main source of the whole theory, and end with mixed randomized models, which were widely discussed by Professor Tadeusz Calinski through the last decade.


connectedness, estimability, best linear unbiased estimator, variance balance, randomization