r 253 J 
VII. Mathematical Contributions to the Theory of Evolution. —III. Regression, 
Heredity, and Panmixia. 
By Karl Pearson, University College, London. 
Communicated by Professor Henrici, F.R.S. 
Received September 28,—Read November 28, 1895. 
Revised November 29, 1895. 
Contents. 
PACE. 
(1.) Introductory. 254 
(2.) Definitions— 
(a.) Variation . 256 
(5.) Correlation. 256 
(c.) Natural Selection. 257 
(d.) Sexual Selection. 257 
(e.) Reproductive Selection. 258 
(/.) Heredity. 259 
( g .) Regression. 259 
(A) Panmixia. 260 
(3.) General Theory of Correlation with special Reference to the Problem of Heredity— 
(a.) Historical. 261 
(6.) Theory of Correlation. 261 
(4.) Special Case of Two Correlated Organs— 
(a.) Theory. 264 
(6.) Best Value of Correlation-Coefficient. 264 
(c.) Probable Error of Correlation-Coefficient. . 265 
(d.) Constancy of Correlation in Local Races. 266 
(5.) Regression, Uniparental Inheritance, and Assortative Mating— 
(a.) General Formulas. 268 
( b .) Special Case of Stature in Man. 269 
Tables I.-V. 270 
Conclusions :— 
(i.) Natural Selection. 272 
(ii.) Sexual Selection. 273 
(iii.) Reproductive Selection. 273 
(iv.) Inheritance—Paternal Prepotency. 275 
(c.) Further Relations between Correlation and Variability— 
(i.) The Coefficient of Variation. 276 
(ii.) Coefficient of Correlation in terms of Coefficients of Variation 278 
(iii.) Example. Adult Male Crania .. 279 
7.5.96 
