For the New Zealand cricketer, see Ronald Fisher (cricketer).
Ronald Fisher FRS
|Born||Ronald Aylmer Fisher|
|Died||29 July 1962(1962-07-29) (aged 72)|
|Alma mater||University of Cambridge|
|Known for||Fisher's principle|
|Fields||Statistics, genetics, and evolutionary biology|
|Academic advisors||James Hopwood Jeans|
For his work in statistics, he has been described as "a genius who almost single-handedly created the foundations for modern statistical science" and "the single most important figure in 20th century statistics".
In genetics, his work used mathematics to combine Mendelian genetics and natural selection; this contributed to the revival of Darwinism in the early 20th-century revision of the theory of evolution known as the modern synthesis.
For his contributions to biology, Fisher has been called "the greatest of Darwin’s successors".
Fisher held strong views on race, insisting on racial differences.
From 1919 onward, he worked at the Rothamsted Experimental Station for 14 years; there, he analysed its immense data from crop experiments since the 1840s, and developed the analysis of variance (ANOVA).
He established his reputation there in the following years as a biostatistician.
He is known as one of the three principal founders of population genetics.
His contributions to statistics include promoting the method of maximum likelihood and deriving the properties of maximum likelihood estimators, fiducial inference, the derivation of various sampling distributions, founding principles of the design of experiments, and much more.
Early life and education
He was one of twins, with the other twin being still-born and grew up the youngest, with three sisters and one brother.
His mother, Kate, died from acute peritonitis when he was 14, and his father lost his business 18 months later.
Lifelong poor eyesight caused his rejection by the British Army for World War I, but also developed his ability to visualize problems in geometrical terms, not in writing mathematical solutions, or proofs.
He entered Harrow School age 14 and won the school's Neeld Medal in mathematics.
In 1912, he gained a First in Mathematics.
During 1913–1919, Fisher worked as a statistician in the City of London and taught physics and maths at a sequence of public schools, at the Thames Nautical Training College, and at Bradfield College.
There he settled with his new bride, Eileen Guinness, with whom he had two sons and six daughters.
In 1918 he published "The Correlation Between Relatives on the Supposition of Mendelian Inheritance", in which he introduced the term variance and proposed its formal analysis.
He put forward a genetics conceptual model showing that continuous variation amongst phenotypic traits measured by biostatisticians could be produced by the combined action of many discrete genes and thus be the result of Mendelian inheritance.
This was the first step towards establishing population genetics and quantitative genetics, which demonstrated that natural selection could change allele frequencies in a population, resulting in reconciling its discontinuous nature with gradual evolution.
Joan Box, Fisher's biographer and daughter, says that Fisher had resolved this problem already in 1911.
Rothamsted Experimental Station, 1919–1933
In 1919, he began working at the Rothamsted Experimental Station in Hertfordshire, where he would remain for 14 years.
He had been offered a position at the Galton Laboratory in University College London led by Karl Pearson, but instead accepted a temporary role at Rothamsted to investigate the possibility of analysing the vast amount of crop data accumulated since 1842 from the "Classical Field Experiments".
He analysed the data recorded over many years, and in 1921 published Studies in Crop Variation, and his first application of the analysis of variance (ANOVA).
In 1928, Joseph Oscar Irwin began a three-year stint at Rothamsted and became one of the first people to master Fisher's innovations.
Fisher's 1924 article On a distribution yielding the error functions of several well known statistics presented Pearson's chi-squared test and William Gosset's Student's t-distribution in the same framework as the Gaussian distribution, and is where he developed Fisher's z-distribution, a new statistical method commonly used decades later as the F-distribution.
He pioneered the principles of the design of experiments and the statistics of small samples and the analysis of real data.
In 1925 he published Statistical Methods for Research Workers, one of the 20th century's most influential books on statistical methods.
This book also popularized the p-value, which plays a central role in his approach.
Fisher proposes the level p=0.05, or a 1 in 20 chance of being exceeded by chance, as a limit for statistical significance, and applies this to a normal distribution (as a two-tailed test), thus yielding the rule of two standard deviations (on a normal distribution) for statistical significance.
The significance of 1.96, the approximate value of the 97.5 percentile point of the normal distribution used in probability and statistics, also originated in this book.
In Table 1 of the work, he gave the more precise value 1.959964.
In 1928, Fisher was the first to use diffusion equations to attempt to calculate the distribution of allele frequencies and the estimation of genetic linkage by maximum likelihood methods among populations.
A core work of the neo-Darwinian modern evolutionary synthesis, it helped define population genetics, which Fisher founded alongside Sewall Wright and J. , and revived Darwin's neglected idea of B. S. Haldanesexual selection.
One of Fisher's favourite aphorisms was "Natural selection is a mechanism for generating an exceedingly high degree of improbability".
Fisher's fame grew, and he began to travel and lecture widely.
He returned there again in 1936.
In 2020, the Rothamsted institution (now named Rothamsted Research) released a statement condemning Fisher's involvement with eugenics, stating "Rothamsted Research and the Lawes Agricultural Trust reject utterly the use of pseudo-scientific arguments to support racist or discriminatory views".
An accommodation building, named after him when it was built in 2018, was subsequently renamed.
University College London, 1933–39
In 1934, he become editor of the Annals of Eugenics (now called Annals of Human Genetics).
In 1935, he published The Design of Experiments, which was "also fundamental, [and promoted] statistical technique and application...
The mathematical justification of the methods was not stressed and proofs were often barely sketched or omitted altogether .... [This] led H.B. to fill the gaps with a rigorous mathematical treatment". Mann
In this book Fisher also outlined the Lady tasting tea, now a famous design of a statistical randomized experiment which uses Fisher's exact test and is the original exposition of Fisher's notion of a null hypothesis.
The same year he also published a paper on fiducial inference and applied it to the Behrens–Fisher problem, the solution to which, proposed first by Walter Behrens and a few years later by Fisher, is the Behrens–Fisher distribution.
In his 1937 paper The wave of advance of advantageous genes he proposed Fisher's equation in the context of population dynamics to describe the spatial spread of an advantageous allele and explored its travelling wave solutions.
Out of this also came the Fisher–Kolmogorov equation.
He was the guest of honour at its 25th anniversary in 1957, when it had 2000 employees.
Their description of the algorithm used pencil and paper; a table of random numbers provided the randomness.
University of Cambridge, 1940–1956
In 1943, along with A.S. and CorbetC.B. he published a paper on Williamsrelative species abundance where he developed the logseries to fit two different abundance data sets In the same year he took the Balfour Chair of Genetics where the Italian researcher Luigi Luca Cavalli-Sforza was recruited in 1948, establishing a one-man unit of bacterial genetics.
In 1936, Fisher used a Pearson's chi-squared test to analyze Mendel's data and concluded that Mendel's results with the predicted ratios were far too perfect, suggesting that adjustments (intentional or unconscious) had been made to the data to make the observations fit the hypothesis.
Later authors have claimed Fisher's analysis was flawed, proposing various statistical and botanical explanations for Mendel's numbers.
In 1950 he published "Gene Frequencies in a Cline Determined by Selection and Diffusion".
He developed computational algorithms for analyzing data from his balanced experimental designs, with various editions and translations, becoming a standard reference work for scientists in many disciplines.
In ecological genetics he and E. showed how the force of natural selection was much stronger than had been assumed, with many ecogenetic situations (such as B. Fordpolymorphism) being maintained by the force of selection.
During this time he also worked on mouse chromosome mapping; breeding the mice in laboratories in his own house.
To quote his biographers Yates and Mather, "It has been suggested that the fact that Fisher was employed as consultant by the tobacco firms in this controversy casts doubt on the value of his arguments.
This is to misjudge the man.
He was not above accepting financial reward for his labours, but the reason for his interest was undoubtedly his dislike and mistrust of puritanical tendencies of all kinds; and perhaps also the personal solace he had always found in tobacco.".
Others, however, have suggested that his analysis was biased by professional conflicts and his own love of smoking.
He gave the 1953 Croonian lecture on population genetics.
In the winter of 1954–1955 Fisher met Debabrata Basu, the Indian statistician who wrote in 1988, "With his reference set argument, Sir Ronald was trying to find a via media between the two poles of Statistics – Berkeley and Bayes.
My efforts to understand this Fisher compromise led me to the likelihood principle".
In 1957, a retired Fisher emigrated to Australia, where he spent time as a senior research fellow at the Australian Commonwealth Scientific and Industrial Research Organisation (CSIRO) in Adelaide.
Following surgery for colon cancer, he died of post-operative complications in an Adelaide hospital in 1962.
His remains are interred in St Peter's Cathedral, Adelaide.
Personal life and beliefs
He married Eileen Guinness, with whom he had two sons and six daughters.
His daughter Joan, who wrote a biography of her father, married the statistician George E. P. Box.
According to Yates and Mather, "His large family, in particular, reared in conditions of great financial stringency, was a personal expression of his genetic and evolutionary convictions."
He developed a reputation for carelessness in his dress and was the archetype of the absent-minded professor.
In a 1955 broadcast on Science and Christianity, he said:
Fisher was involved with the Society for Psychical Research.
Fisher's doctoral students included Walter Bodmer, D. , J. FinneyMary F. Lyon and C. Although a prominent opponent of R. RaoBayesian statistics, Fisher was the first to use the term "Bayesian", in 1950.
The 1930 The Genetical Theory of Natural Selection is commonly cited in biology books, and outlines many important concepts, such as:
- Parental investment, is any parental expenditure (time, energy etc.) that benefits one offspring at a cost to parents' ability to invest in other components of fitness,
- Fisherian runaway, explaining how the desire for a phenotypic trait in one sex combined with the trait in the other sex (for example a peacock's tail) creates a runaway evolutionary extremizing of the trait.
- Fisher's principle, which explains why the sex ratio is mostly 1:1 in nature.
- Reproductive value which implies that sexually reproductive value measures the contribution of an individual of a given age to the future growth of the population.
- Fisher's fundamental theorem of natural selection, which states that "the rate of increase in fitness of any organism at any time is equal to its genetic variance in fitness at that time."
- Fisher's geometric model, an evolutionary model of the effect sizes on fitness of spontaneous mutations proposed by Fisher to explain the distribution of effects of mutations that could contribute to adaptive evolution.
- Sexy son hypothesis, which hypothesizes that females may choose arbitrarily attractive male mates simply because they are attractive, thus increasing the attractiveness of their sons who attract more mates of their own. This is in contrast to theories of female mate choice based on the assumption that females choose attractive males because the attractive traits are markers of male viability.
- Mimicry, a similarity of one species to another that protects one or both
- The evolution of dominance, a relationship between alleles of one gene, in which the effect on phenotype of one allele masks the contribution of a second allele at the same locus.
- Heterozygote advantage which was later found to play a frequent role in genetic polymorphism.
- Demonstrating that the probability of a mutation increasing the fitness of an organism decreases proportionately with the magnitude of the mutation and that larger populations carry more variation so that they have a greater chance of survival.
Fisher is also known for:
- Linear discriminant analysis is a generalization of Fisher's linear discriminant
- Fisher information, see also scoring algorithm also known as Fisher's scoring, and Minimum Fisher information, a variational principle which, when applied with the proper constraints needed to reproduce empirically known expectation values, determines the best probability distribution that characterizes the system.
- F-distribution, arises frequently as the null distribution of a test statistic, most notably in the analysis of variance
- Fisher–Tippett–Gnedenko theorem : Fisher's contribution to this was made in 1927
- Fisher–Tippett distribution
- Fisher-Yates shuffle algorithm
- Von Mises–Fisher distribution
- Inverse probability, a term Fisher used in 1922, referring to "the fundamental paradox of inverse probability" as the source of the confusion between statistical terms which refer to the true value to be estimated, with the actual value arrived at by estimation, which is subject to error.
- Fisher's permutation test
- Fisher's inequality
- Sufficient statistic, when a statistic is sufficient with respect to a statistical model and its associated unknown parameter if "no other statistic that can be calculated from the same sample provides any additional information as to the value of the parameter".
- Fisher's noncentral hypergeometric distribution, a generalization of the hypergeometric distribution, where sampling probabilities are modified by weight factors.
- Student's t-distribution, widely used in statistics.
- The concept of an ancillary statistic and the notion (the ancillarity principle) that one should condition on ancillary statistics.
Fisher was elected to the Royal Society in 1929.
He won the Copley Medal and the Royal Medal.
He was an Invited Speaker of the ICM in 1924 in Toronto and in 1928 in Bologna.
This represents the first use of a computer for a problem in the field of biology.
The R. was a North American A. Fisher LectureshipCommittee of Presidents of Statistical Societies (COPSS) annual lecture prize, established in 1963, until the name was changed to COPSS Distinguished Achievement Award and Lectureship in 2020.
On 28 April 1998 a minor planet, 21451 Fisher, was named after him.
In 2010, the R.A. Fisher Chair in Statistical Genetics was established in University College London to recognise Fisher's extraordinary contributions to both statistics and genetics.
Geoffrey Miller said of him:
After members of the Cambridge Society – including Fisher – stewarded the First International Eugenics Congress in London in summer 1912, a link was forged with the Eugenics Society (UK).
He saw eugenics as addressing pressing social and scientific issues that encompassed and drove his interest in both genetics and statistics.
During World War I Fisher started writing book reviews for The Eugenics Review and volunteered to undertake all such reviews for the journal, being hired for a part-time position.
The last third of The Genetical Theory of Natural Selection focused on eugenics, attributing the fall of civilizations to the fertility of their upper classes being diminished, and used British 1911 census data to show an inverse relationship between fertility and social class, partly due, he claimed, to the lower financial costs and hence increasing social status of families with fewer children.
He proposed the abolition of extra allowances to large families, with the allowances proportional to the earnings of the father.
He served in several official committees to promote eugenics, including the Committee for Legalizing Eugenic Sterilization which drafted legislation aiming to limit the fertility of "feeble minded high-grade defectives ... comprising a tenth of the total population".
In 1934, he resigned from the Eugenics Society over a dispute about increasing the power of scientists within the movement.
Fisher held a favourable view of eugenics even after World War II, when he wrote a testimony on behalf of the Nazi-associated eugenicist Otmar Freiherr von Verschuer, whose students had included Josef Mengele who conducted experiments at Auschwitz.
Fisher wrote that he has no doubt that the Nazi party "sincerely wished to benefit the German racial stock, especially by the elimination of manifest defectives" and that he would give "his support to such a movement".
Additionally, also in June 2020, Rothamsted Research released a statement condemning Fisher's involvement with eugenics, stating "Rothamsted Research and the Lawes Agricultural Trust reject utterly the use of pseudo-scientific arguments to support racist or discriminatory views".
An accommodation building, built in 2018 and previously named after him, was subsequently renamed.
Views on race
Further information: The Race Question
Between 1950 and 1951, Fisher, along with other leading geneticists and anthropologists of his time, was asked to comment on a statement that UNESCO was preparing on the "Nature of Race and Racial Differences".
The statement, along with the comments and criticisms of a large number of scientists including Fisher, is published in "The Race Concept: Results of an Inquiry."
Fisher was one of four scientists who opposed the statement.
In his own words, Fisher's opposition is based on "one fundamental objection to the Statement," which "destroys the very spirit of the whole document."
He believes that human groups differ profoundly "in their innate capacity for intellectual and emotional development" and concludes from this that the "practical international problem is that of learning to share the resources of this planet amicably with persons of materially different nature, and that this problem is being obscured by entirely well-intentioned efforts to minimize the real differences that exist."
Fisher's opinions are clarified by his more detailed comments on Section 5 of the statement, which are concerned with psychological and mental differences between the races.
Section 5 concludes as follows:
Of the entire statement, Section 5 recorded the most dissenting viewpoints.
Muller's criticism was recorded in more detail and was noted to "represent an important trend of ideas":
Fisher's own words were quoted as follows:
Credits to the contents of this page go to the authors of the corresponding Wikipedia page: en.wikipedia.org/wiki/Ronald Fisher.