By William Palin Elderton, Visit Amazon's Norman Lloyd Johnson Page, search results, Learn about Author Central, Norman Lloyd Johnson,
Sir William Elderton's Frequency Curves and Correlation used to be first released in 1906 and hence 3 new versions have been released. It has lengthy loved attractiveness as a resource of transparent descriptions of the sensible use of Pearson and likewise Gram-Charlie platforms of frequency curves. Professor Johnson has considerably revised this ebook. the cloth on correlations has been passed over; descriptions of additional different types of frequency curves were further; the therapy of frequency surfaces has been recast and broadened; and the chance has been taken to amend the unique textual content within the mild of later learn. the purpose of this booklet continues to be basically functional. there isn't any try at encyclopaedic assurance of all recognized structures of frequency curves and surfaces. it's going to be of especial worth as a brief reference e-book (for statisticians and non-statisticians alike) for formulae and techniques utilized in becoming frequency curves.
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Extra resources for Systems of Frequency Curves
Example text
The figure 978 is ^nf(n) for values on the positive side of the arbitrary origin and 498 is the similar sum on the negative side, ignoring sign, say *2,mf{—m). e. (978—498)/1000 = 0-48. Taking, now, the final figures in the columns headed 'Third sum', 670 represents ^—-— "^ ' and 324 is the corresponding figure on the negative side; similarly with the other columns. Now reverting to the expressions in § 11, which relate only to positive summations, we can write v'3 = where 8' is used instead of S to indicate the different system of summation.
For greater accuracy use more ordinates or Tables of incomplete B-functions. f The reader who has little acquaintance with formulae of reduction and the F and B-functions, should consult Appendix 2 before reading the proofs of the formulae for this and the other types.
In the J- and U-shaped curves, though the limiting ordinate is infinite, the area is finite. e. \ogt-\-\ogF(t). In the case of J-shaped curves it is best to use the form with origin at the mean or express the curve in the form yfxm>1(a1-{-an—x)™2 with the origin at the start of the curve and , N F(m1+m2+2) Main types 53 An interesting variant of the J-shaped curve arises when m1 and m2 are both arithmetically less than unity and one of them is negative. The shape is then like that of No. e. it is of twisted J-shape (for example and further notes, see pp.