Biometrika Volume 2

Biometrika Volume 2

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1903 edition. Excerpt: ...been more correct to read off ordinates in the denominators, but the analysis of the point can hardly be dealt with in a few lines, and would be of a technical character. The use of areas makes it impossible to write down an algebraic expression for the rates of sickness; the quotient of the ordinates of the two curves would not give these rates, but a function that might be called the " force of sickness," for it is analogous to the force of mortality mentioned above. This result was so good that I decided to make some further trials in the hope of obtaining other interesting representations. Symmetrical limited-range curves were tried with the same origin but though nearly all the Type I. curves I obtained represented the amount of sickness closely they failed at the ends of the table to give a satisfactory graduation of the sickness rates. A few trials were also made with different origins. The next attempts were made from the opposite point of view, that is, a hypothetical curve was assumed for the sickness. The same normal curve was tried and the exposed to risk were then represented by a Type IV. curve y = 273-3649 1 + xY(66-9576)2--1 aeUn'('WM76), with an origin at 52 5043939. This curve is very nearly symmetrical but on trying a normal curve it was found to fail above age 66 (i.e. for 34 ages. Compare Makeham's "Law of Mortality" which is unsuitable for the first 25 ages). In order to see if the quotient of two normal curves would graduate the rates I tried to fit the parabola y=a+bx + ca? to their logarithms but the result was unsatisfactory. Trials were then made with limited-range curves and the corresponding exposed to risk represented by Type I. curves. The results were unsatisfactory as regards the rates more

Product details

  • Paperback | 130 pages
  • 189 x 246 x 7mm | 245g
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236655060
  • 9781236655066