By R. H. Leaver, T. R. Thomas (auth.)
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Extra info for Analysis and Presentation of Experimental Results
Suppose we wish to explore the possible effect of differing amounts of oil-additive upon cylinder-bore wear. If the additive is a new untried product we would be satisfied to establish if there is any significant connection at all between the variables, let alone try to describe it by means of a functional law. In statistical terminology, we would be exploring the degree of co"elation. All these types of relationship between variables are important to engineers and will be considered in turn. 1 Functional relationships Readings taken in the laboratory are subject to inevitable precision errors, and a statistical treatment is necessary to establish the best curve with which to represent the results.
CONCLUSIONS The test specimen was narrower at the waist. This was not just due to chance. It was narrower by about as much as the centrifugal-force theory predicts, 4. CONCLUSIONS The test specimen was found to have contracted significantly at the waist. The magnitude of the contraction was in good agreement with the predictions 18 ANALYSIS AND PRESENTATION OF EXPERIMENTAL RESULTS so this theory must be right. The hardness had not changed by as much as the work-hardening theory predicted so this theory must be wrong.
However, we can avoid a lot of this work by a little algebraic manipulation. These expressions may be recast into a more convenient form for calculation. 19) ~~ Note the similarity of form between this equation and that for the variance of the population. 2 shows the working of the problem using this method. It also discloses a severe drawback. 2. 04 27 SOME STATISTICAL IDEAS figures. This is because n ~x 2 - (~x) 2 is a small difference between two large numbers, a situation always to be avoided where possible.
Analysis and Presentation of Experimental Results by R. H. Leaver, T. R. Thomas (auth.)