Design and Analysis of Experiments. Volume 2
Advanced Experimental Design
Chapter One
General Incomplete Block Design
1.1 INTRODUCTION AND EXAMPLES
One of the basic principles in experimental design is that of reduction of experimental
error. We have seen (see Chapters I.9 and I.10) that this can be achieved
quite often through the device of blocking. This leads to designs such as randomized
complete block designs (Section I.9.2) or Latin square type designs
(Chapter I.10). A further reduction can sometimes be achieved by using blocks
that contain fewer experimental units than there are treatments.
The problem we shall be discussing then in this and the following chapters is
the comparison of a number of treatments using blocks the size of which is less
than the number of treatments. Designs of this type are called incomplete block
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