F. N. David
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Florence Nightingale David, also known as F. N. David (23 August 1909 – 23 July 1993) was an English
statistician A statistician is a person who works with Theory, theoretical or applied statistics. The profession exists in both the private sector, private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, a ...
. She was head of the Statistics Department at the University of California, Riverside between 1970 – 77 and her research interests included the history of probability and statistical ideas.


Early life and education

David was born on 23 August 1909 in
Ivington Ivington () is a village in the county of Herefordshire, England, approximately 13 miles (21 km) north of Hereford. It is about 2 miles (3 km) south-west of Leominster. The population as of the 2011 census was included within Leominster ...
, near
Leominster Leominster ( ) is a market town in Herefordshire, England; it is located at the confluence of the River Lugg and its tributary the River Kenwater. The town is north of Hereford and south of Ludlow in Shropshire. With a population of almos ...
, England. Her parents were Florence Maude and William Richard David who were both Elementary School head teachers. David was named after
Florence Nightingale Florence Nightingale (; 12 May 1820 – 13 August 1910) was an English Reform movement, social reformer, statistician and the founder of modern nursing. Nightingale came to prominence while serving as a manager and trainer of nurses during th ...
, who was a friend of her parents and a pioneering statistician. David was tutored privately by a local parson, beginning at age five. By that age she already knew some arithmetic, so she began with algebra. Since David already knew English, the parson taught her Latin and Greek. At the age of ten, she entered to formal schooling at Colyton Grammar School. She studied mainly mathematics for three years, with the aim of becoming an actuary, but at that time the actuarial firms only accepted men. She earned a degree in mathematics from Bedford College for Women in 1931. David received a scholarship and continued her studies with
Karl Pearson Karl Pearson (; born Carl Pearson; 27 March 1857 – 27 April 1936) was an English biostatistician and mathematician. He has been credited with establishing the discipline of mathematical statistics. He founded the world's first university ...
at
University College, London University College London (Trade name, branded as UCL) is a Public university, public research university in London, England. It is a Member institutions of the University of London, member institution of the Federal university, federal Uni ...
, as his research assistant. In this function she produced tables for the
correlation coefficient A correlation coefficient is a numerical measure of some type of linear correlation, meaning a statistical relationship between two variables. The variables may be two columns of a given data set of observations, often called a sample, or two c ...
. When Pearson retired, his son
Egon Egon is a Danish variant of the male given name Egino. It is most commonly found in Central and Northern Europe. Egon may refer to: People * Egon VIII of Fürstenberg-Heiligenberg (1588–1635), Imperial Count of Fürstenberg-Heiligenberg (16 ...
, and
Ronald Fisher Sir Ronald Aylmer Fisher (17 February 1890 – 29 July 1962) was a British polymath who was active as a mathematician, statistician, biologist, geneticist, and academic. For his work in statistics, he has been described as "a genius who a ...
, took over Karl's duties. After Karl Pearson died in 1934, David returned to the Biometrics laboratory to work with
Jerzy Neyman Jerzy Spława-Neyman (April 16, 1894 – August 5, 1981; ) was a Polish mathematician and statistician who first introduced the modern concept of a confidence interval into statistical hypothesis testing and, with Egon Pearson, revised Ronald Fis ...
, submitting her four most recently published papers as her doctoral (
PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...
)
thesis A thesis (: theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: D ...
, and earned a doctorate in 1938.


Career

Working for Karl Pearson, F. N. David computed solutions to complicated multiple integrals, and the distribution of the correlation coefficients. As a result, her first book was released in 1938, called ''Tables of the Correlation Coefficient''. All the calculations were done on a hand-cranked mechanical calculator known as a
Brunsviga Brunsviga was a calculating machine company whose history goes back to 1892. They produced mechanical calculators, hand operated but later also electrically driven. The firm Grimme, Natalis & Co that manufactured the machines changed their name ...
. During
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, David worked as an Experimental Officer in the Ordnance Board for the
Ministry of Supply The Ministry of Supply (MoS) was a department of the UK government formed on 1 August 1939 by the Ministry of Supply Act 1939 ( 2 & 3 Geo. 6. c. 38) to co-ordinate the supply of equipment to all three British armed forces, headed by the Ministe ...
, a Senior Statistician for the Research and Experiments Department for the
Ministry of Home Security The Ministry of Home Security was a British government department established in 1939 to direct national civil defence, primarily tasked with organising air raid precautions, during the Second World War. The Ministry for Home Security was heade ...
; a Member of the Land Mines Committee of the
Scientific Advisory Council Science is a systematic discipline that builds and organises knowledge in the form of testable hypotheses and predictions about the universe. Modern science is typically divided into twoor threemajor branches: the natural sciences, which stu ...
, and as a Scientific Advisor on Mines to the Military Experimental Establishment. In late 1939 when war had started but England had not yet been attacked, she created statistical models to predict the possible consequences of bombs exploding in high density populations such as the big cities of England and especially
London London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
. From these models, she determined estimates of harm to humans and other damage. This included the possible numbers living and dead, the reactions to fires and damaged buildings as well as damages to communications, utilities such as telephones, water, gas, electricity and sewers. As a result, when the Germans bombed London in 1940 and 1941, vital services were kept going and her models were updated and modified with the evidence from the real harms and real damage. After
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
she returned to University College London and became a professor of statistics in 1962. From 1958 to 1967 she split her time between London and
Berkeley, California Berkeley ( ) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Anglo-Irish bishop and philosopher George Berkeley. It borders the cities of Oakland, Cali ...
, where she held a visiting position at the
University of California The University of California (UC) is a public university, public Land-grant university, land-grant research university, research university system in the U.S. state of California. Headquartered in Oakland, California, Oakland, the system is co ...
Department of Statistics and Applied Climatology and Forestry Division. In 1968 she moved to California permanently and became a professor, and in 1970 the chair, in the Department of Statistics at the
University of California, Riverside The University of California, Riverside (UCR or UC Riverside) is a public university, public Land-grant university, land-grant research university in Riverside, California, United States. It is one of the ten campuses of the University of Cali ...
, and was the book review editor for the journal ''Biometrics'' for four years. By 1977 she retired and became professor emeritus and Research Associate in Biostatistics at the University of California at Berkeley, where she continued to teach and do research in Biostatistics. David died of lung cancer on 23 July 1993 in Kensington, Contra Costa County, California.


Awards and recognition

In 1954 she was elected as a
Fellow of the American Statistical Association Like many other academic professional societies, the American Statistical Association (ASA) uses the title of Fellow of the American Statistical Association as its highest honorary grade of membership. The designation of ASA Fellow has been a sign ...
. She was also a Fellow of the
Institute of Mathematical Statistics The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts ...
. In conjunction with other numerous academic honours, in 1992 David won the first Elizabeth L. Scott Award "...for her efforts in opening the door to women in statistics; for contributions to the professions over many years; for contributions to education, science, and public service; for research contributions to combinatorics, statistical methods, applications and understanding history; and her spirit as a lecturer and as a role model.". The university named a library for her, and in 2001 established the Florence Nightingale David Award.


Contributions

David's research resulted in advances in
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
, including a clear exposition of complicated methods. She studied the Correlation coefficient, and computed solutions of complicated multiple integrals, using the distribution of the
correlation coefficient A correlation coefficient is a numerical measure of some type of linear correlation, meaning a statistical relationship between two variables. The variables may be two columns of a given data set of observations, often called a sample, or two c ...
. David investigated the origins and history of probability and statistical ideas. She wrote a book on
history of probability Probability has a dual aspect: on the one hand the likelihood of hypotheses given the evidence for them, and on the other hand the behavior of stochastic processes such as the throwing of dice or coins. The study of the former is historically old ...
, using problems thought of by famous mathematicians and scientists like Cardano and
Galileo Galileo di Vincenzo Bonaiuti de' Galilei (15 February 1564 – 8 January 1642), commonly referred to as Galileo Galilei ( , , ) or mononymously as Galileo, was an Italian astronomer, physicist and engineer, sometimes described as a poly ...
. It was called ''Games, Gods and Gambling: The Origins and History of Probability''. She "speculat dthat
gambling Gambling (also known as betting or gaming) is the wagering of something of Value (economics), value ("the stakes") on a Event (probability theory), random event with the intent of winning something else of value, where instances of strategy (ga ...
may be the first invention of human society. Her clue to this is the talus. This most common randomizer of ancient times is a predecessor of the die: the astragalus or talus is the 'knucklebone' or heel bone of a running animal. In creatures such as deer, horse, oxen, sheep and
hartebeest The hartebeest (; ''Alcelaphus buselaphus''), also known as kongoni or kaama, is an Fauna of Africa, African antelope. It is the Monotypic taxon, only member of the genus ''Alcelaphus''. Eight subspecies have been described, including two som ...
this bone is so formed that when it is thrown to land on a level surface it can come to rest in only four ways. Well polished and often engraved examples are regularly found on the sites of
ancient Egypt Ancient Egypt () was a cradle of civilization concentrated along the lower reaches of the Nile River in Northeast Africa. It emerged from prehistoric Egypt around 3150BC (according to conventional Egyptian chronology), when Upper and Lower E ...
. Tomb illustrations and scoring boards make it virtually certain that these were used for gaming."


Personal life

David was
lesbian A lesbian is a homosexual woman or girl. The word is also used for women in relation to their sexual identity or sexual behavior, regardless of sexual orientation, or as an adjective to characterize or associate nouns with female homosexu ...
. During her time at Berkeley, she lived with
Evelyn Fix Evelyn Fix (January 27, 1904 – December 30, 1965) was a statistician. She was born in Duluth, Minnesota and earned her A.B. in mathematics at the University of Minnesota in 1924. One year later she earned an M.S. in education and became a high ...
until the latter's passing in 1965.


Publications

David published ten books and more than 100 papers, including: * 1938: Extension of the Markoff theorem on least squares *1948: (with N.L. Johnson) The probability integral transformation when parameters are estimated from the sample *1949: Probability theory of statistical methods *1951: Probability theory for statistical methods *1952: The truncated poisson *1953: A statistical primer *1954: (with P.G. Moore) Notes on contagious distributions in plant populations *1954: (with N.L. Johnson) Statistical Treatment of Censored Data Part I. Fundamental Formulae *1961: (with
Evelyn Fix Evelyn Fix (January 27, 1904 – December 30, 1965) was a statistician. She was born in Duluth, Minnesota and earned her A.B. in mathematics at the University of Minnesota in 1924. One year later she earned an M.S. in education and became a high ...
) Rank correlation and regression in a nonnormal surface *1961: (with Egon Sharpe Pearson) Elementary statistical exercises *1962: (with D.E. Barton) ''Combinatorial Chance'' * 1962: ''Games, Gods and Gambling'' . *1966: Symmetric function and allied tables *1968: Normal centroids, medians and scores for ordinal data *1971: A first course in statistics


References


Florence N. David
''Statisticians in History'' from the
American Statistical Association The American Statistical Association (ASA) is the main professional organization for statisticians and related professionals in the United States. It was founded in Boston, Massachusetts, on November 27, 1839, and is the second-oldest continuous ...
*http://www.agnesscott.edu/Lriddle/women/david.htm * http://www-groups.dcs.st-and.ac.uk/%7Ehistory/Mathematicians/David.html {{DEFAULTSORT:David, Florence Nightingale English statisticians 1909 births 1993 deaths People from Herefordshire Alumni of University College London Academics of University College London 20th-century American mathematicians British women statisticians Fellows of the American Statistical Association Fellows of the Institute of Mathematical Statistics 20th-century American women mathematicians British LGBTQ academics 20th-century English LGBTQ people