statistics assignments
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8/3/2019 Statistics Assignments
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What is Statistics?Even though you may not have realized it, you probably have madesome statistical statements in your everyday conversation or thinking. Statements like "I sleep for about eight hours per night onaverage" and "You are more likely to pass the exam if you startpreparing earlier" are actually statistical in nature.
Statistics is a discipline which is concerned with:
• designing experiments and other data collection,
• summarizing information to aid understanding,
• drawing conclusions from data, and
• estimating the present or predicting the future.
The two statements at the beginning illustrate some of these points.
In making predictions, Statistics uses the companion subject of Probability, which models chance mathematically and enablescalculations of chance in complicated cases.
Today, statistics has become an important tool in the work of manyacademic disciplines such as medicine, psychology, education,
sociology, engineering and physics, just to name a few. Statistics isalso important in many aspects of society such as business, industryand government. Because of the increasing use of statistics in somany areas of our lives, it has become very desirable to understandand practice statistical thinking. This is important even if you do notuse statistical methods directly.
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Abraham de Moivre (26 May 1667 in Vitry-le-
François, Champagne, France – 27 November
1754 in London, England; French
pronunciation: [abʁam də mwavʁ]) was
a French mathematician famous for de Moivre's
formula, which links complex
numbers and trigonometry, and for his work on
the normal distribution and probability theory. He
was a friend of Isaac Newton, Edmund Halley,
and James Stirling. Among his
fellow Huguenot exiles in England, he was a
colleague of the editor and translator Pierre des
Maizeaux.De Moivre wrote a book on probability theory, The Doctrine of Chances, said to have
been prized by gamblers. De Moivre first discovered Binet's formula, the closed-
form expression for Fibonacci numbers linking the nth power of φ to the nth
Fibonacci number.
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William Sealy Gosset (June 13, 1876–October 16, 1937) is famous as
a statistician, best known by his pen name Student and for his work on Student's t-
distribution.
Gosset had almost all of his papers including The probable error of a mean published in
Pearson's journal Biometrika using the pseudonym Student . However, it was R. A.
Fisher who appreciated the importance of Gosset's small-sample work, after Gosset had
written to him to say I am sending you a copy of Student's Tables as you are the only
man that's ever likely to use them! . Fisher believed that Gosset had effected a “logical
revolution”. Ironically the t -statistic for which Gosset is famous was actually Fisher's
creation. Gosset's statistic was . Fisher introduced the t -form because it
fit in with his theory of degrees of freedom. Fisher was also responsible for the
applications of the t -distribution to regression.
Although introduced by others, Studentized residuals are named in Student's honor
because, like the problem that led to Student's t-distribution, the idea of adjusting for
estimated standard deviations is central to that concept.
Gosset's interest in barley cultivation led him to speculate that design of
experiments should aim, not only at improving the average yield, but also at breeding
varieties whose yield was insensitive (robust) to variation in soil and climate. This
principle only occurs in the later thought of Fisher and then in the work of Genichi
Taguchi in the 1950s.
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Sir Francis Galton / fr ˈ ɑːnsɪs gæltnˈ ̩/ FRS (16 February 1822
– 17 January 1911), cousin of Douglas Strutt Galton, half-
cousin of Charles Darwin, was
an English Victorian polymath: anthropologist, eugenicist trop
ical explorer , geographer , inventor ,meteorologist, proto-
geneticist, psychometrician, and statistician. He was knighted
in 1909.
Galton had a prolific intellect, and produced over 340 papers
and books throughout his lifetime. He also created the
statistical concept of correlation and widely
promoted regression toward the mean. He was the first to
apply statistical methods to the study of human differences
and inheritance of intelligence, and introduced the useof questionnaires and surveys for collecting data on human communities, which he needed for
genealogical and biographical works and for his anthropometric studies.
He was a pioneer in eugenics, coining the term itself and the phrase "nature versus nurture".
His book, Hereditary Genius (1869), was the first social scientific attempt to
study genius and greatness.[As an investigator of the human mind, he
oundedpsychometrics (the science of measuring mental faculties) and differential psychology.
He devised a method for classifyingfingerprints that proved useful in forensic science. He also
conducted research on the power of prayer , concluding it had none by its null effects on theongevity of those prayed for.
As the initiator of scientific meteorology, he devised the first weather map, proposed a theory
of anticyclones, and was the first to establish a complete record of short-term climatic
phenomena on a European scale. He also invented the Galton Whistle for testing differential
hearing ability.
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Lambert Adolphe Jacques Quetelet (22
February 1796 – 17 February 1874) was
a Belgian astronomer , mathematician,statistician
and sociologist. He founded and directed the
Brussels Observatory and was influential in
introducing statistical methods to the social
sciences. His name is sometimes spelled with an
accent as Quételet .
His scientific research encompassed a wide
range of different scientific disciplines:
meteorology, astronomy, mathematics, statistics,
demography, sociology, criminology and history
of science. He made significant contributions toscientific development, but he also wrote several
monographs directed to the general public. He
founded the Royal Observatory of Belgium,
founded or co-founded several national and
nternational statistical societies and scientific journals, and presided over the first series of the
nternational Statistical Congresses. Quetelet was a liberal and an anticlerical, but not an
atheist or materialist nor a socialist.
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Sir Ronald Aylmer Fisher FRS (17 February 1890
– 29 July 1962) was an English statistician,
evolutionary biologist, eugenicist and geneticist.Among other things, Fisher is well known for his
contributions to statistics by creating Fisher's exact
test andFisher's equation. Anders Hald called him
"a genius who almost single-handedly created the
foundations for modern statistical
science"[1] while Richard Dawkins called him "the
greatest of Darwin's successors".[2] In 2010
Dawkins named him "the greatest biologist since
Darwin".