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  • Regression Analysis (Classic Reprint)

Regression Analysis (Classic Reprint)

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Excerpt from Regression AnalysisThe subject of this book is one of the branches Of statistics based on the method of least squares and the analysis of variance. With the increase in the scope Of statistical methods in recent years, certain fairly distinct branches have been developed to meet different needs. Thus, on the one hand, the design of experiments is concerned with providing data from which the effects of various factors andthe random errors affecting them can be most accurately and easily determined. On the other hand, regression analysis enables the effects of various factors to be evaluated from the experimental data even when the experiment does not follow a simple pattern, or when the variables affecting the results cannot be controlled in such a manner as to make possible a designed experiment.Thus, although the methods we shall consider can all be formally described in terms of the analysis of variance, it is more profitable to consider separately the problems In which the regression of one variable on others is of interest. Clearly, such a method of analysis can be adopted, whether or not the data to be interpreted come from a designed experiment. Where the experiment is designed to elucidate the effects Of certain factors, the effects of other factors may be considered through a regression analysis, or by means of the technique Of the analysis of co variance, which enables the effects Of uncontrolled variables to be allowed for and the accuracy of the experiment to be consequently improved.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.
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