Page:Proceedings of the Royal Society of London Vol 60.djvu/302

276 m unity under one system, but upon all the data which, for some time to come, appear likely to be available. These data are neither quantitatively nor qualitatively ideal, but, on the other hand, they must be given a reasonable amount of weight in considering whether, at any rate in the case of one organ— stature,— any steady telegonic influence can be traced in man.

The reduction from the family measurement-cards, the formation of the eight correlation tables, and the calculation of both variation and correlation coefficients have been undertaken by Miss Alice Lee of Bedford College,— a task requiring much labour and persistency. I have independently verified, and in some minor points corrected her calculations, as well as added the probable errors of the constants determined. . (3) The following are th e means and standard-deviations with th eir probable errors for th e various groups.

Table I.— Stature of Pam ilies in Inches.

Class. Number. Mean. Standard deviation. 385 68 -5740±0-0878 2 -5554±0 "0621 69-1494 ±0-0913 2 -6550±0 -0645 2-7128 ±0-0659 2 -4848 ± 0 -0604 Ymmcfftf sons 69-1948± 0-0933 63 '3078 ± 0-0854 TTcifPi of* fl All editors........... • • 450 68 -3344±0-0878 2-7605 ± 0-0621 JP cllillc io ui uauguvoio • • • • • • TTilrlAT* d n n orb lors 63 -9244±0-0823 2-5878±0-0582 VnivnuPT' rlancrntiftTS. ......... 64 -2200 ± 0-0794 2-4985 ± 0-0562 iU bllliit/J- tiaiUgni/oio. TV/Tnvc nf d«.n editors. ....... 63-1794 ±0-0758 2-3827 ±0-0536 IVlUtlivlo ui •••••••

All the quantities have here been calculated precisely as in my th ird memoir on the m athem atical theory of evolution (see ‘ P h iT ran s./ A, vol. 187, pp. 2 7 0 -2 7 1 ). In this case, however, no child is included twice as a child, and parents are not weighted with their offspring. Thus reproductive selection is not allowed to influence the results. ,

I t will be seen th at the probable errors of the means and standar deviations are, as in the former paper, too large to allow o absolutely definite conclusions when those conclusions are not supported by a continuous change of values, or directly venfie y < e num bers of the earlier memoir. B ut one or two such conclusions may be drawn, and I will note them before passing to correlation.

(i) The law of sexual interchange referred to in my foranei pap (p 274) is conBrmed with greater uniformity. Fathers of sons are sensibly less variable than fathers of daughters and “ others o daughters are sensibly less variable than mothers of sons. In other