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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.
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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 ofExpand
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Mathematical contributions to the theory of evolution.—On the law of reversion
  • K. Pearson
  • Economics
  • 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), BlendedExpand
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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 moreExpand
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  • PDF
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 ofExpand
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On the χ 2 Test of Goodness of Fit
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Mathematical contributions to the theory of evolution. VIII. On the correlation of characters not quantitatively measurable
  • K. Pearson
  • Psychology
  • Proceedings of the Royal Society of London
1. In August last I presented to the Society a memoir on the inheritance of coat-colour in thoroughbred horses, and of eye-colour in man. This memoir, which was read in November of last year,Expand
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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 threeExpand
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  • PDF
Mathematical contributions to the theory of evolution.—X. Supplement to a memoir on skew variation
  • K. Pearson
  • Mathematics
  • Proceedings of the Royal Society of London
In the second memoir of this series a system of curves suitable for describing skew distributions of frequency was deduced from the solutions of the differential equation 1/y dy/dx = b0 + b1x/a0 +Expand
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