By R. H. Leaver, T. R. Thomas (auth.)
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1 per cent or even higher might be more appropriate, just as a jury might reasonably demand a higher standard of proof in a hanging matter. No purely statistical criterion can give us absolute 47 ERRORS AND THEIR SIGNIFICANCE certainty, but it can give us a very accurate balance of probabilities; and many men have been justly hanged on flimsier evidence. Let us now apply our test to the example of the last section. Suppose the two sets of measurements contained five and seven observations respectively.
1. (a) Normal (Gaussian) frequency distnbution. (b) Normal frequency distribution with origin referred to population mean. 1 we have three variables to handle sirnultaneously;x, 1J. and o. 2) The new variable t is dimensionless, because x, 1J. and o are always in the same units. lb). 3) where p(t) is the probability density and is simply the value of the ordinate of the Gaussian curve corresponding to an abscissa of value t. To obtain a probability we must fmd the area under some portion of the curve.
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). 0 with 6 degrees of freedom), and was much smaller than that predicted by Brown et al. ) on the work-hardening hypothesis. I. Redundant sentence. 2. Insufficiently quantitative. 3. Insufficiently specific reference. 4. 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.
Analysis and Presentation of Experimental Results by R. H. Leaver, T. R. Thomas (auth.)