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  • Print publication year: 1995
  • Online publication date: June 2012

11 - Simple experimental design and the analysis of variance

Summary

INTRODUCTION

In most of the previous chapters the main object has been to analyse scientific data so as to estimate important constants or to carry out tests of significance. The data may have arisen more or less by chance, and must be examined for signs of bias or heterogeneity. Careful sifting of the material may help to eliminate some errors of this sort, but we must guard against introducing fresh ones. In examples like that of section 5.2, where the body-weights of male and female birds were compared, we have so far assumed that the observations have been collected in such a way as to avoid unwanted bias. Sometimes, however, it is possible to exercise stricter control over the data so that these are obtained under carefully specified conditions. This leads naturally to the whole question of designing the general pattern of an experiment, partly to eliminate various disturbing effects that might creep in and partly to ensure that maximum precision is achieved for the amount of effort expended.

Some experiments, such as those whose main purpose is to determine a specific number, for example, a recombination fraction in genetics or the generation-time of a dividing bacterium, are clearly ‘absolute’ in character. Others, which are concerned with comparing the effects of different factors or treatments are of a ‘comparative’ nature. What is usually known as experimental design deals with methods of constructing and analysing these comparative experiments.