Philosophical Transactions of the Royal Society of London; Containing Papers of a Mathematical or Physical Character Volume 191

Philosophical Transactions of the Royal Society of London; Containing Papers of a Mathematical or Physical Character Volume 191

By (author) 

List price: US$13.04

Currently unavailable

Add to wishlist

AbeBooks may have this title (opens in new window).

Try AbeBooks

Description

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1898 edition. Excerpt: ...of the community had a mean age of incidence differing from that of the general population, we should expect correlated changes in such other characteristics of the disease as (i.) its first appearance; (ii.) its last appearance; (iii.) its tendence to heavier incidence above or below the mean age of incidence; (iv.) the concentration of its incidence about the mean age of incidence for this selected class. Precisely similar series of changes would arise in the case of a random selection of individuals having the variability of a certain organ greater or less than that of the general population, there would be correlated changes in the size, range, and skewness of the distribution of this organ. Turning to the mean and modal frequencies, we have Ay, __ __ M, 1_, 1__ rfS(i, + w, + 2) _ fES(m, + 1)1.'/. " b + J2 w, + w2"+ 2 2 m, + 1 + d(ml 4 m, + 2) d(m, + 1) J'"' fa 1, _J_ dS"(to, + To, + 2) _ rfg(m, + l)1 "" I 9 To, + To, + 2 9 To. + 1 "" d (to, + To, + 2) d (to. + 1) J' =--Lbfb + A, Awt, -f h2 Awig, say (cxvi.). Similarly, %fi and 2 can be found in the usual manner by squaring after the insertion of the numerical values. From (Ixxxi.)-(lxxiii.) the probable errors and correlations of the moments can be found if required, the calculation being numerically somewhat laborious, but presenting nothing of novelty. The probable error of the criterion K = 3ft-2& + 6, where /?, = fil/f4 and # = pll, may be found as follows: Put e = (m, + 1) (m2 +1), r = mi + m2 + 2; then we find _ 12(r+l+e). K(r + 2y(r + 3)e (CX1X.J, and accordingly T = It-72-rr 3 + rTmJAr + i-mr;-T A _ /JL _ A L_. _J i+i A r r + 2 r + 3 "" r + 1 + e (r + 1 + e)(ro, + 1)/' /_2_ 2 1_ L_ r + 1 l r r + 2 r + 3 + r...show more

Product details

  • Paperback | 138 pages
  • 189 x 246 x 8mm | 259g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236845900
  • 9781236845900