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Karl Pearson

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For the English cricketer, see Karl Pearson (cricketer).

Karl Pearson
FRS
Pearson in 1910
Born
Carl Pearson

(1857-03-27)27 March 1857
Islington, London, England
Died27 April 1936(1936-04-27) (aged 79)
Coldharbour, Surrey, England
Alma mater
Known for
Awards
Scientific career
FieldsLawyer, Germanist, eugenicist, mathematician and statistician (primarily the last)
Institutions
Academic advisorsFrancis Galton
Notable students
Ethel Elderton

Karl Pearson FRS FRSE[1] (/ˈpɪərsən/; born Carl Pearson; 27 March 1857 – 27 April 1936[2]) was an English biostatistician and mathematician.[3][4] He has been credited with establishing the discipline of mathematical statistics.[5][6] He founded the world's first university statistics department at University College London in 1911, and contributed significantly to the field of biometrics and meteorology. Pearson was also a proponent of Social Darwinism and eugenics, and his thought is an example of what is today described as scientific racism. Pearson was a protégé and biographer of Sir Francis Galton. He edited and completed both William Kingdon Clifford's Common Sense of the Exact Sciences (1885) and Isaac Todhunter's History of the Theory of Elasticity, Vol. 1 (1886–1893) and Vol. 2 (1893), following their deaths.

Early life and education

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Pearson was born in Islington, London, into a Quaker family. His father was William Pearson QC of the Inner Temple, and his mother Fanny (née Smith), and he had two siblings, Arthur and Amy. Pearson attended University College School, followed by King's College, Cambridge, in 1876 to study mathematics,[7] graduating in 1879 as Third Wrangler in the Mathematical Tripos. He then travelled to Germany to study physics at the University of Heidelberg under G. H. Quincke and metaphysics under Kuno Fischer. He next visited the University of Berlin, where he attended the lectures of the physiologist Emil du Bois-Reymond on Darwinism (Emil was a brother of Paul du Bois-Reymond, the mathematician). Pearson also studied Roman Law, taught by Bruns and Mommsen, medieval and 16th century German Literature, and Socialism. He became an accomplished historian and Germanist and spent much of the 1880s in Berlin, Heidelberg, Vienna[citation needed], Saig bei Lenzkirch, and Brixlegg. He wrote on Passion plays,[8] religion, Goethe, Werther, as well as sex-related themes,[9] and was a founder of the Men and Women's Club.[10]

Pearson with Sir Francis Galton, 1909 or 1910

Pearson was offered a Germanics post at King's College, Cambridge. Comparing Cambridge students to those he knew from Germany, Karl found German students inathletic and weak. He wrote to his mother, "I used to think athletics and sport was overestimated at Cambridge, but now I think it cannot be too highly valued."[11]

On returning to England in 1880, Pearson first went to Cambridge:

Back in Cambridge, I worked in the engineering shops, but drew up the schedule in Mittel- and Althochdeutsch for the Medieval Languages Tripos.[12]

In his first book, The New Werther, Pearson gives a clear indication of why he studied so many diverse subjects:

I rush from science to philosophy, and from philosophy to our old friends the poets; and then, over-wearied by too much idealism, I fancy I become practical in returning to science. Have you ever attempted to conceive all there is in the world worth knowing—that not one subject in the universe is unworthy of study? The giants of literature, the mysteries of many-dimensional space, the attempts of Boltzmann and Crookes to penetrate Nature's very laboratory, the Kantian theory of the universe, and the latest discoveries in embryology, with their wonderful tales of the development of life—what an immensity beyond our grasp! [...] Mankind seems on the verge of a new and glorious discovery. What Newton did to simplify the planetary motions must now be done to unite in one whole the various isolated theories of mathematical physics.[13]

Pearson then returned to London to study law, emulating his father. Quoting Pearson's own account:

Coming to London, I read in chambers in Lincoln's Inn, drew up bills of sale, and was called to the Bar, but varied legal studies by lecturing on heat at Barnes, on Martin Luther at Hampstead, and on Lassalle and Marx on Sundays at revolutionary clubs around Soho.[12]

Career

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1980 photo of a young Karl Pearson

1890

His next career move was to the Inner Temple, where he read law until 1881 (although he never practised). After this, he returned to mathematics, deputising for the mathematics professor at King's College, London in 1881 and for the professor at University College London in 1883. In 1884, he was appointed to the Goldsmid Chair of Applied Mathematics and Mechanics at University College London. Pearson became the editor of Common Sense of the Exact Sciences (1885) when William Kingdon Clifford died. 1891 saw him also appointed to the professorship of Geometry at Gresham College; here he met Walter Frank Raphael Weldon, a zoologist who had some interesting problems requiring quantitative solutions.[14] The collaboration, in biometry and evolutionary theory, was a fruitful one and lasted until Weldon died in 1906.[15] Weldon introduced Pearson to Charles Darwin's cousin Francis Galton, who was interested in aspects of evolution such as heredity and eugenics. Pearson became Galton's protégé, at times to the verge of hero worship.[citation needed]

After Galton's death in 1911, Pearson embarked on producing his definitive biography—a three-volume tome of narrative, letters, genealogies, commentaries, and photographs—published in 1914, 1924, and 1930, with much of Pearson's own money paying for their print runs. The biography, done "to satisfy myself and without regard to traditional standards, to the needs of publishers or to the tastes of the reading public", triumphed Galton's life, work and personal heredity. He predicted that Galton, rather than Charles Darwin, would be remembered as the most prodigious grandson of Erasmus Darwin.

When Galton died, he left the residue of his estate to the University of London for a chair in Eugenics. Pearson was the first holder of this chair—the Galton Chair of Eugenics, later the Galton Chair of Genetics[16]—in accordance with Galton's wishes. Pearson formed the Department of Applied Statistics (with financial support from the Drapers' Company), which combined the Biometric and Galton Laboratories. He remained with the department until his retirement in 1933, and continued to work until his death.

Personal life

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In 1890, Pearson married Maria Sharpe. The couple had three children: Sigrid Loetitia Pearson, Helga Sharpe Pearson, and Egon Pearson, who became a statistician himself and succeeded his father as head of the Applied Statistics Department at University College. Maria died in 1928 and in 1929 Karl married Margaret Victoria Child, a co-worker at the Biometric Laboratory. He and his family lived at 7 Well Road in Hampstead, now marked with a blue plaque.[17][18] He died at Coldharbour, Surrey, on 27 April 1936.

Einstein and Pearson's work

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When the 23-year-old Albert Einstein started the Olympia Academy study group in 1902, with his two younger friends, Maurice Solovine and Conrad Habicht, his first reading suggestion was Pearson's The Grammar of Science. This book covered several themes that were later to become part of the theories of Einstein and other scientists.[19] Pearson asserted that the laws of nature are relative to the perceptive ability of the observer. Irreversibility of natural processes, he argued, is a purely relative conception. An observer who travels at the exact velocity of light would see an eternal now, or an absence of motion. He speculated that an observer who travelled faster than light would see time reversal, similar to a cinema film being run backwards. Pearson also discussed antimatter, the fourth dimension, and wrinkles in time.

Pearson's relativity was based on idealism, in the sense of ideas or pictures in a mind. "There are many signs", he wrote, "that a sound idealism is surely replacing, as a basis for natural philosophy, the crude materialism of the older physicists." (Preface to second Ed., The Grammar of Science) Further, he stated, "... science is in reality a classification and analysis of the contents of the mind ... In truth, the field of science is much more consciousness than an external world." (Ibid., Ch. II, § 6) "Law in the scientific sense is thus essentially a product of the human mind and has no meaning apart from man." (Ibid., Ch. III, § 4)[20]

Political views and eugenics

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This article is part of a series on the
Eugenics Movement
Historical trajectory
Pre-war academic proponents
Post-war academic remnants
Pamphlets and manifestos
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With significant post-war activity

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Pearson was a "zealous" atheist, "freethinker",[21][22] and socialist. He gave lectures on such issues as "the woman's question" (this was the era of the suffragist movement in the UK)[23] and upon Karl Marx. His commitment to socialism and its ideals led him to refuse the offer of being created an OBE (Officer of the Order of the British Empire) in 1920 and also to refuse a knighthood in 1935.

A eugenicist who applied social Darwinism to entire nations, Pearson saw war against "inferior races" as a logical implication of the theory of evolution. "My view – and I think it may be called the scientific view of a nation", he wrote, "is that of an organized whole, kept up to a high pitch of internal efficiency by insuring that its numbers are substantially recruited from the better stocks, and kept up to a high pitch of external efficiency by contest, chiefly by way of war with inferior races."[24] He reasoned that, if August Weismann's theory of germ plasm is correct, the nation is wasting money when it tries to improve people who come from poor stock.

Weismann argued that acquired characteristics could not be inherited. Therefore, training benefits only the trained generation. Their children will not exhibit the learned improvements and, in turn, will need to be improved. "No degenerate and feeble stock will ever be converted into healthy and sound stock by the accumulated effects of education, good laws, and sanitary surroundings. Such means may render the individual members of a stock passable if not strong members of society, but the same process will have to be gone through again and again with their offspring, and this in ever-widening circles, if the stock, owing to the conditions in which society has placed it, is able to increase its numbers."[25]

History shows me one way, and one way only, in which a high state of civilization has been produced, namely, the struggle of race with race, and the survival of the physically and mentally fitter race. If you want to know whether the lower races of man can evolve a higher type, I fear the only course is to leave them to fight it out among themselves, and even then the struggle for existence between individual and individual, between tribe and tribe, may not be supported by that physical selection due to a particular climate on which probably so much of the Aryan's success depended.[26]

In The Myth of the Jewish Race[27] Raphael and Jennifer Patai cite Karl Pearson's 1925 opposition (in the first issue of the journal Annals of Eugenics which he founded) to Jewish immigration into Britain. Pearson alleged that these immigrants "will develop into a parasitic race. [...] Taken on the average, and regarding both sexes, this alien Jewish population is somewhat inferior physically and mentally to the native population".[28]

Pearson concluding remarks on stepping down as editor of the Annals of Eugenics, indicate a sense of failure of his aim to use the scientific study of eugenics as a guide for moral conduct and public policy.[29]

My endeavour during the twenty-two years in which I have held the post of Galton Professor has been to prove in the first place that Eugenics can be developed as an academic study, and in the second place to make the conclusions drawn from that study a ground for social propagandism only when there are sound scientific reasons upon which to base our judgments and as a result our opinions as to moral conduct. Even at the present day there are far too many general impressions drawn from limited or too often wrongly interpreted experience, and far too many inadequately demonstrated and too lightly accepted theories for any nation to proceed hastily with unlimited Eugenic legislation. This statement, however, must never be taken as an excuse for indefinitely suspending all Eugenic teaching and every form of communal action in matters of sex.

Nonetheless, in June 2020 UCL announced that it was renaming two buildings which had been named after Pearson, because of his connection with eugenics.[30]

Contributions to biometrics

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Karl Pearson was important in the founding of the school of biometrics, which was one of several competing theories to describe evolution and population inheritance at the turn of the 20th century. His series of eighteen papers, "Mathematical Contributions to the Theory of Evolution" established him as the founder of the biometrical school for inheritance. In fact, Pearson devoted much time during 1893 to 1904 to developing statistical techniques for biometry.[31] These techniques, which are widely used today for statistical analysis, include the chi-squared test, standard deviation, and correlation and regression coefficients. Pearson's Law of Ancestral Heredity stated that germ plasm consisted of heritable elements inherited from the parents as well as from more distant ancestors, the proportion of which varied for different traits.[32] Karl Pearson was a follower of Galton, and although the two differed in some respects, Pearson used a substantial amount of Francis Galton's statistical concepts in his formulation of the biometrical school for inheritance, such as the law of regression. The biometric school, unlike the Mendelians, focused not on providing a mechanism for inheritance, but rather on providing a mathematical description for inheritance that was not causal in nature. While Galton proposed a discontinuous theory of evolution, in which species would have to change via large jumps rather than small changes that built up over time, Pearson pointed out flaws in Galton's argument and actually used Galton's ideas to further a continuous theory of evolution, whereas the Mendelians favored a discontinuous theory of evolution. While Galton focused primarily on the application of statistical methods to the study of heredity, Pearson and his colleague Weldon expanded statistical reasoning to the fields of inheritance, variation, correlation, and natural and sexual selection.[33]

For Pearson, the theory of evolution was not intended to identify a biological mechanism that explained patterns of inheritance, whereas Mendelian's theory postulated the gene as the mechanism for inheritance. Pearson criticized Bateson and other biologists for their failure to adopt biometrical techniques in their study of evolution.[34] Pearson criticized biologists who did not focus on the statistical validity of their theories, stating that "before we can accept [any cause of a progressive change] as a factor we must have not only shown its plausibility but if possible have demonstrated its quantitative ability"[35] Biologists had succumb to "almost metaphysical speculation as to the causes of heredity," which had replaced the process of experimental data collection that actually might allow scientists to narrow down potential theories.[36]

For Pearson, laws of nature were useful for making accurate predictions and for concisely describing trends in observed data.[33] Causation was the experience "that a certain sequence has occurred and recurred in the past".[35] Thus, identifying a particular mechanism of genetics was not a worthy pursuit of biologists, who should instead focus on mathematical descriptions of empirical data. This, in part led to the fierce debate between the biometricians and the Mendelians, including Bateson. After Bateson rejected one of Pearson's manuscripts that described a new theory for the variability of an offspring, or homotyposis, Pearson and Weldon established Biometrika in 1902.[37] Although the biometric approach to inheritance eventually lost to the Mendelian approach, the techniques Pearson and the biometricians at the time developed are vital to studies of biology and evolution today.

Contributions to statistics

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Pearson's work was all-embracing in the wide application and development of mathematical statistics, and encompassed the fields of biology, epidemiology, anthropometry, medicine, psychology and social history.[38] In 1901, with Weldon and Galton, he founded the journal Biometrika whose object was the development of statistical theory.[39] He edited this journal until his death. Among those who assisted Pearson in his research were a number of female mathematicians who included Beatrice Mabel Cave-Browne-Cave, Frances Cave-Browne-Cave, and Alice Lee. He also founded the journal Annals of Eugenics (now Annals of Human Genetics) in 1925. He published the Drapers' Company Research Memoirs largely to provide a record of the output of the Department of Applied Statistics not published elsewhere.

Pearson's thinking underpins many of the 'classical' statistical methods which are in common use today. Examples of his contributions are:

Awards from professional bodies

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Pearson achieved widespread recognition across a range of disciplines and his membership of, and awards from, various professional bodies reflects this:

  • 1896: elected FRS: Fellow of the Royal Society[2]
  • 1898: awarded the Darwin Medal[48]
  • 1911: awarded the honorary degree of LLD from the University of St Andrews
  • 1911: awarded a DSc from University of London
  • 1920: offered (and refused) the OBE
  • 1932: awarded the Rudolf Virchow medal by the Berliner Anthropologische Gesellschaft
  • 1934: offered (and refused) the Guy Medal of the Royal Statistical Society
  • 1935: offered (and refused) a knighthood

He was also elected an Honorary Fellow of King's College, Cambridge, the Royal Society of Edinburgh, University College London and the Royal Society of Medicine, and a Member of the Actuaries' Club. A sesquicentenary conference was held in London on 23 March 2007, to celebrate the 150th anniversary of his birth.[5]

Publications

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Articles

Miscellany

See also

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References

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  1. ^ Yule, G. U.; Filon, L. N. G. (1936). "Karl Pearson. 1857–1936". Obituary Notices of Fellows of the Royal Society. 2 (5): 72–110. doi:10.1098/rsbm.1936.0007. JSTOR 769130.
  2. ^ a b "Library and Archive catalogue". Sackler Digital Archive. Royal Society. Archived from the original on 25 October 2011. Retrieved 1 July 2011.
  3. ^ Joe.1 (2 January 2023). "Karl Pearson and the History of Eugenics at UCL". Professor Joe Cain. Retrieved 27 February 2024.{{cite web}}: CS1 maint: numeric names: authors list (link)
  4. ^ "Karl Pearson's The Problem of Practical Eugenics · Controlling Heredity · Special Collections and Archives". library.missouri.edu. Retrieved 27 February 2024.
  5. ^ a b "Karl Pearson sesquicentenary conference". Royal Statistical Society. 3 March 2007. Retrieved 25 July 2008.
  6. ^ "[...] the founder of modern statistics, Karl Pearson." – Bronowski, Jacob (1978). The Common Sense of Science, Harvard University Press, p. 128.
  7. ^ "Pearson, Carl (or Karl) (PR875CK)". A Cambridge Alumni Database. University of Cambridge.
  8. ^ Pearson, Karl (1897). "The German Passion-Play: A Study in the Evolution of Western Christianity," in The Chances of Death and Other Studies in Evolution. London: Edward Arnold, pp. 246–406.
  9. ^ Pearson, Karl (1888). "A Sketch of the Sex-Relations in Primitive and Mediæval Germany," in The Ethic of Freethought. London: T. Fisher Unwin, pp. 395–426.
  10. ^ Walkowitz, Judith R., History Workshop Journal 1986 21(1):37–59, p 37
  11. ^ Warwick, Andrew (2003). "4: Exercising the student body: Mathematics, manliness and athleticism". Masters of theory: Cambridge and the rise of mathematical physics. Chicago: University of Chicago Press. pp. 176–226. ISBN 978-0-226-87375-6.
  12. ^ a b Pearson, Karl (1934). Speeches Delivered at a Dinner Held in University College, London, in Honour of Professor Karl Pearson, 23 April 1934. Cambridge University Press, p. 20.
  13. ^ Pearson, Karl (1880). The New Werther. London: C, Kegan Paul & Co., pp. 6, 96.
  14. ^ Provine, William B. (2001). The Origins of Theoretical Population Genetics. University of Chicago Press, p. 29.
  15. ^ Tankard, James W. (1984). The Statistical Pioneers, Schenkman Pub. Co.
  16. ^ Blaney, Tom (2011). The Chief Sea Lion's Inheritance: Eugenics and the Darwins. Troubador Pub., p. 108. Also see Pearson, Roger (1991). Race, Intelligence and Bias in Academe. Scott-Townsend Publishers.
  17. ^ "Karl Pearson Blue Plaque", at Openplaques.org.
  18. ^ Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002 (PDF). The Royal Society of Edinburgh. July 2006. ISBN 0-902-198-84-X.
  19. ^ Herbert, Christopher (2001). "Karl Pearson and the Human Form Divine," in Victorian Relativity: Radical Thought and Scientific Discovery, Chicago University Press, pp. 145–179.
  20. ^ Pearson, Karl (1900). The Grammar of Science. London: Adam & Charles Black, pp. vii, 52, 87.
  21. ^ McGrayne, Sharon Bertsch. The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy: Yale UP, 2011. Print. "Karl Pearson...was a zealous atheist..."
  22. ^ Porter, Theodore M. Karl Pearson: The Scientific Life in a Statistical Age. Princeton: Princeton UP, 2004. Print.
  23. ^ Pearson, Karl (1888). "The Woman's Question," in The Ethic of Freethought. London: T. Fisher Unwin, pp. 370–394.
  24. ^ Pearson, Karl (1901). National Life from the Standpoint of Science. London: Adam & Charles Black, pp. 43–44.
  25. ^ Pearson, Karl (1892). Introduction to The Grammar of Science. London: Water Scott, p. 32.
  26. ^ Pearson, Karl (1901). National Life from the Standpoint of Science. London: Adam & Charles Black, pp. 19–20.
  27. ^ Patai, Raphael, & Jennifer Patai (1989). The Myth of the Jewish Race. Wayne State University Press, p. 146. ISBN 978-0814319482
  28. ^ Pearson, Karl; Moul, Margaret (1925). "The Problem of Alien Immigration into Great Britain, Illustrated by an Examination of Russian and Polish Jewish Children". Annals of Eugenics. I (2): 125–126. doi:10.1111/j.1469-1809.1925.tb02037.x.
  29. ^ Pearson, Karl (1933). "VALE!". Annals of Eugenics. 5 (4): 416. doi:10.1111/j.1469-1809.1933.tb02102.x.
  30. ^ "UCL renames three facilities that honoured prominent eugenicists". The Guardian. 19 June 2020. Retrieved 20 June 2020.
  31. ^ Farrall, Lyndsay A. (August 1975). "Controversy and Conflict in Science: A Case Study The English Biometric School and Mendel's Laws". Social Studies of Science. 5 (3): 269–301. doi:10.1177/030631277500500302. PMID 11610080. S2CID 8488406.
  32. ^ Pearson, Karl (1897). "Mathematical Contributions to the Theory of Evolution. On the Law of Ancestral Heredity". Proceedings of the Royal Society of London. 62 (379–387): 386–412. Bibcode:1897RSPS...62..386P. doi:10.1098/rspl.1897.0128. JSTOR 115747.
  33. ^ a b Pence, Charles H. (2015). "The early history of chance in evolution". Studies in History and Philosophy of Science. 50: 48–58. Bibcode:2015SHPSA..50...48P. CiteSeerX 10.1.1.682.4758. doi:10.1016/j.shpsa.2014.09.006. PMID 26466463. S2CID 29105382.
  34. ^ Morrison, Margaret (1 March 2002). "Modelling Populations: Pearson and Fisher on Mendelism and Biometry". The British Journal for the Philosophy of Science. 53: 39–68. doi:10.1093/bjps/53.1.39. S2CID 145804261.
  35. ^ a b Pearson, Karl (1892). The grammar of science. The contemporary science series. London : New York: Walter Scott; Charles Scribner's Sons.
  36. ^ Pearson, Karl (1 January 1896). "Mathematical Contributions to the Theory of Evolution. III. Regression, Heredity, and Panmixia". Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 187: 253–318. Bibcode:1896RSPTA.187..253P. doi:10.1098/rsta.1896.0007. ISSN 1364-503X.
  37. ^ Gillham, Nicholas (9 August 2013). "The Battle Between the Biometricians and the Mendelians: How Sir Francis Galton Caused his Disciples to Reach Conflicting Conclusions About the Hereditary Mechanism". Science & Education. 24 (1–2): 61–75. Bibcode:2015Sc&Ed..24...61G. doi:10.1007/s11191-013-9642-1. S2CID 144727928.
  38. ^ Mackenzie, Donald (1981). Statistics in Britain, 1865–1930: The Social Construction of Scientific Knowledge, Edinburgh University Press.
  39. ^ Hald, Anders (1998). A History of Mathematical Statistics from 1750 to 1930. Wiley, p. 651.
  40. ^ Analyse Mathematique. Sur Les Probabilités des Erreurs de Situation d'un Point Mem. Acad. Roy. Sei. Inst. France, Sci. Math, et Phys., t. 9, p. 255–332. 1846
  41. ^ Wright, S., 1921. Correlation and causation. Journal of agricultural research, 20(7), pp. 557–585
  42. ^ Stigler, S. M. (1989). "Francis Galton's Account of the Invention of Correlation". Statistical Science. 4 (2): 73–79. doi:10.1214/ss/1177012580.
  43. ^ a b c d Pearson, K. (1900). "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". Philosophical Magazine. Series 5. Vol. 50, no. 302. pp. 157–175. doi:10.1080/14786440009463897.
  44. ^ Neyman, J.; Pearson, E. S. (1928). "On the use and interpretation of certain test criteria for purposes of statistical inference". Biometrika. 20 (1/2): 175–240. doi:10.2307/2331945. JSTOR 2331945.
  45. ^ Pearson, K. (1901). "On Lines and Planes of Closest Fit to Systems of Points is Space". Philosophical Magazine. Series 6. Vol. 2, no. 11. pp. 559–572. doi:10.1080/14786440109462720.
  46. ^ Jolliffe, I. T. (2002). Principal Component Analysis, 2nd ed. New York: Springer-Verlag.
  47. ^ Pearson, K. (1895). "Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 186: 343–414. Bibcode:1895RSPTA.186..343P. doi:10.1098/rsta.1895.0010.
  48. ^ "PEARSON, Karl". Who's Who. Vol. 59. 1907. p. 1373.

Most of the biographical information above is taken from the Karl Pearson page at the Department of Statistical Sciences at University College London, which has been placed in the public domain. The main source for that page was A list of the papers and correspondence of Karl Pearson (1857–1936) held in the Manuscripts Room, University College London Library, compiled by M. Merrington, B. Blundell, S. Burrough, J. Golden and J. Hogarth and published by the Publications Office, University College London, 1983.

Additional information from entry for Karl Pearson in the Sackler Digital Archive of the Royal Society

Further reading

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