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On the Criterion that a Given System of Deviations from the Probable in the Case of a Correlated System of Variables is Such that it Can be Reasonably Supposed to have Arisen from Random Sampling
Let x1, x2 … x n be a system of deviations from the means of n variables with standard deviations σ1, σ2 … σ n and with correlations r12, r13, r23 … r n −1,n.
VII. Note on regression and inheritance in the case of two parents
  • K. Pearson
  • Mathematics
    Proceedings of the Royal Society of London
Consider a population in which sexual selection and natural selection may or may not be taking place. Assume only that the deviations from the mean in the case of any organ of any generation follow
Contributions to the Mathematical Theory of Evolution
(1.) If measurements be made of the same part or organ in several hundred or thousand specimens of the same type or family, and a curve be constructed of which the abscissa x represents the size of
Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material
An asymmetrical frequency curve may arise from two quite distinct classes of causes. In the first place the material measured may be heterogeneous and may consist of, a mixture of two or more
Mathematical Contributions to the Theory of Evolution. III. Regression, Heredity, and Panmixia
There are few branches of the Theory of Evolution which appear to the mathematical statistician so much in need of exact treatment as those of Regression, Heredity, and Panmixia. Round the notion of
Mathematical contributions to the theory of evolution.—On the law of reversion
  • K. Pearson
  • Geology
    Proceedings of the Royal Society of London
(1) Introductory.—In a memoir recently presented to the Royal Society, I have endeavoured to emphasise the importance of distinguishing between three diverse types of heredity, namely (i), Blended
Mathematical Contributions to the Theory of Evolution. IX. On the Principle of Homotyposis and Its Relation to Heredity, to the Variability of the Individual, and to that of the Race. Part I.
TLDR
The present paper endeavours to deal with a problem upon which I have long been occupied, adopting the widest basis compatible with the time and means at my disposal, and investigates the ratio of individual to racial variability.
Mathematical contributions to the theory of evolution.—On a form of spurious correlation which may arise when indices are used in the measurement of organs
  • K. Pearson
  • Mathematics
    Proceedings of the Royal Society of London
(1) If the ratio of two absolute measurements on the same or different organs be taken it is convenient to term this ratio an index. If u = f1(x, y) and v = f2(x, y) be two functions of the three
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