By R. H. Leaver, T. R. Thomas (auth.)
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Extra info for Analysis and Presentation of Experimental Results
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.
His employers forbade him to publish his statistical work under his own name in order to conceal from their competitors the advanced nature of their product testing. 11 increases with 44 ANALYSIS AND PRESENTATION OF EXPERIMENTAL RESULTS sample variance. 1). We will now try to put this on a more quantitative footing, starting by finding the variance of the distribution of means. 1. Two 'distributions' representing samples of nine observations each; sa =Sb =s. 85s: difference not significant at 10 per cent level.
3 The mean The mean is the most useful parameter describing central tendency, and is simply the average value of the variate, and is denoted by x. 13) or more briefly, x = 'E xfn where n is the number of values of the variate in the sample. For grouped data, or if the values of the variate are repeated, a more convenient form is x = '1:-fx/'Ef where f is the frequency with which x occurs in the group. 2 Meosures of dispersion The mean does not tell us anything about the precision of our measurements.