Download PDF by R. H. Leaver, T. R. Thomas (auth.): Analysis and Presentation of Experimental Results

By R. H. Leaver, T. R. Thomas (auth.)

ISBN-10: 0333149874

ISBN-13: 9780333149874

ISBN-10: 1349019429

ISBN-13: 9781349019427

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In such situations it is necessary to 'make the most of a bad job', to squeeze the maximum amount of information out of sets of observations which have been made under conditions which may have altered for reasons outside the control of the experimenter. Practical examples might include a rare physical event, an eclipse of the sun for instance, or a series of difficult and expensive determinations of some fundamental physical constant such as the velocity of light. It is characteristic of this type of problem that the observations cannot be treated as if they were all from the same population (otherwise they could simply be combined into a single sample).

Table I shows the decrease in diameter 1 . The decreases were bigger than would be expected by chance 2 • They were about as big as Glaswegian 3 predicted. The hardness seemed to be about the same 2 , this is much smaller than the effect predicted by Brown and his friends 3 who supposed that this was a case of work-hardening. 3. 0004 em (standard error of the mean, four observations). 0009 em (standard error of the mean, four observations). ). 5) N/mm 2 (standard error of the mean, four observations each).

3. Two curves of the family ofF-distributions (inset) shaded area is the probability that this value ofF will be exceeded by chance. 268 (va = 4, vb = 6). 16. We therefore conclude that the difference in the two samples, as shown by the ratio of their variances, is not significant even at the 5 per cent level, that is, there is no good reason to suppose that they come from different populations. 6 Graphical Presentation Graphical methods are unexcelled as a means of presenting the maximum amount of information in a concise and intelligible manner.

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Analysis and Presentation of Experimental Results by R. H. Leaver, T. R. Thomas (auth.)


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