Samuel S. Wilks
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Samuel S. Wilks
Samuel Stanley Wilks (June 17, 1906 – March 7, 1964) was an American mathematician and academic who played an important role in the development of mathematical statistics, especially in regard to practical applications. Early life and education Wilks was born in Little Elm, Texas and raised on a farm. He studied Industrial Arts at the North Texas State Teachers College in Denton, Texas, obtaining his bachelor's degree in 1926. He received his master's degree in mathematics in 1928 from the University of Texas. He obtained his Ph.D. at the University of Iowa under Everett F. Lindquist; his thesis dealt with a problem of statistical measurement in education, and was published in the '' Journal of Educational Psychology''. Career Wilks became an instructor in mathematics at Princeton University in 1933; in 1938 he assumed the editorship of the journal ''Annals of Mathematical Statistics'' in place of Harry C. Carver. Wilks assembled an advisory board for the journal that in ...
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Little Elm, Texas
Little Elm is a city in Denton County, Texas, United States, and a part of the Dallas–Fort Worth metroplex. It is an extended suburb of Denton, Texas, Denton; its population was 46,453 as of the 2020 census. In 2000, the census population was at 3,646. By the 2010 census, the city total had jumped to 25,898, making Little Elm one of the fastest-growing municipalities by percentage in Texas since 2000. The July 1, 2022 census estimates Little Elm's population as 55,357. History Little Elm was established along Lewisville Lake by C.C. "Kit" King, son of John and Delilah King, in 1844. King named the community after the creek banks where it was located. King helped organize mail service for the area and in 1852 was named the postmaster of Denton County's first post office. The population was very low throughout the first half of the 20th century, but in 1966 the community was able to officially incorporate. The first official census for the town came in 1970, which recorded 363 pers ...
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Journal Of Educational Psychology
The ''Journal of Educational Psychology'' is a peer-reviewed academic journal that was established in 1910 and covers educational psychology. It is published by the American Psychological Association. The current editor-in-chief is Steve Graham (Arizona State University). The journal publishes original psychological research on education at all ages and educational levels, as well as occasional theoretical and review articles deemed of particular importance. According to the ''Journal Citation Reports'', the journal has a 2020 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... of 5.805. The journal has implemented the Transparency and Openness Promotion (TOP) Guidelines. The TOP Guidelines provide structure to research planning and reporting and aim to make research ...
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Walter Shewhart
Walter Andrew Shewhart (pronounced like "shoe-heart"; March 18, 1891 – March 11, 1967) was an American physicist, engineer and statistician. He is sometimes also known as the ''grandfather of statistical quality control'' and also related to the Shewhart cycle. W. Edwards Deming said of him: As a statistician, he was, like so many of the rest of us, self-taught, on a good background of physics and mathematics. Early life Born in New Canton, Illinois to Anton and Esta Barney Shewhart, he attended the University of Illinois at Urbana–Champaign before being awarded his doctorate in physics from the University of California, Berkeley in 1917. He married Edna Elizabeth Hart, daughter of William Nathaniel and Isabelle "Ibie" Lippencott Hart on August 4, 1914 in Pike County, Illinois. Work on industrial quality Bell Telephone’s engineers had been working to improve the reliability of their transmission systems. In order to impress government regulators of this natural ...
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John Tukey
John Wilder Tukey (; June 16, 1915 – July 26, 2000) was an American mathematician and statistician, best known for the development of the fast Fourier Transform (FFT) algorithm and box plot. The Tukey range test, the Tukey lambda distribution, the Tukey test of additivity, and the Teichmüller–Tukey lemma all bear his name. He is also credited with coining the term '' bit'' and the first published use of the word ''software''. Biography Tukey was born in New Bedford, Massachusetts, in 1915, to a Latin teacher father and a private tutor. He was mainly taught by his mother and attended regular classes only for certain subjects like French. Tukey obtained a B.A. in 1936 and M.S. in 1937 in chemistry, from Brown University, before moving to Princeton University, where in 1939 he received a PhD in mathematics after completing a doctoral dissertation titled "On denumerability in topology". During World War II, Tukey worked at the Fire Control Research Office and coll ...
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Likelihood-ratio Test
In statistics, the likelihood-ratio test is a hypothesis test that involves comparing the goodness of fit of two competing statistical models, typically one found by maximization over the entire parameter space and another found after imposing some constraint, based on the ratio of their likelihoods. If the more constrained model (i.e., the null hypothesis) is supported by the observed data, the two likelihoods should not differ by more than sampling error. Thus the likelihood-ratio test tests whether this ratio is significantly different from one, or equivalently whether its natural logarithm is significantly different from zero. The likelihood-ratio test, also known as Wilks test, is the oldest of the three classical approaches to hypothesis testing, together with the Lagrange multiplier test and the Wald test. In fact, the latter two can be conceptualized as approximations to the likelihood-ratio test, and are asymptotically equivalent. In the case of comparing two mod ...
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Unit-weighted Regression
In statistics, unit-weighted regression is a simplified and robust statistics, robust version (Howard Wainer, Wainer & Thissen, 1976) of multiple regression analysis where only the intercept term is estimated. That is, it fits a model :\hat = \hat(\mathbf) = \hat + \sum_i x_i where each of the x_i are binary data, binary variables, perhaps multiplied with an arbitrary weight. Contrast this with the more common multiple regression model, where each predictor has its own estimated coefficient: :\hat = \hat(\mathbf) = \hat + \sum_i \hat_i x_i In the social sciences, unit-weighted regression is sometimes used for binary statistical classification, classification, i.e. to binary classification, predict a yes-no answer where \hat < 0 indicates "no", \hat \ge 0 "yes". It is easier to interpret than multiple linear regression (known as linear discriminant analysis in the classification case).


Unit weights

Unit-weighted regression is a method of ...
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Multivariate Statistics
Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable, i.e., '' multivariate random variables''. Multivariate statistics concerns understanding the different aims and background of each of the different forms of multivariate analysis, and how they relate to each other. The practical application of multivariate statistics to a particular problem may involve several types of univariate and multivariate analyses in order to understand the relationships between variables and their relevance to the problem being studied. In addition, multivariate statistics is concerned with multivariate probability distributions, in terms of both :*how these can be used to represent the distributions of observed data; :*how they can be used as part of statistical inference, particularly where several different quantities are of interest to the same analysis. Certain types of problems involving multivariate da ...
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Office Of Naval Research
The Office of Naval Research (ONR) is an organization within the United States Department of the Navy responsible for the science and technology programs of the U.S. Navy and Marine Corps. Established by Congress in 1946, its mission is to plan, foster, and encourage scientific research to maintain future naval power and preserve national security. It carries this out through funding and collaboration with schools, universities, government laboratories, nonprofit organizations, and for-profit organizations, and overseeing the Naval Research Laboratory, the corporate research laboratory for the Navy and Marine Corps. NRL conducts a broad program of scientific research, technology and advanced development. ONR's headquarters is in the Ballston neighborhood of Arlington County, Virginia. ONR Global has offices overseas in Santiago, São Paulo São Paulo (; ; Portuguese for 'Paul the Apostle, Saint Paul') is the capital of the São Paulo (state), state of São Paulo, as well a ...
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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 world's countries participated, with many nations mobilising all resources in pursuit of total war. Tanks in World War II, Tanks and Air warfare of World War II, aircraft played major roles, enabling the strategic bombing of cities and delivery of the Atomic bombings of Hiroshima and Nagasaki, first and only nuclear weapons ever used in war. World War II is the List of wars by death toll, deadliest conflict in history, causing World War II casualties, the death of 70 to 85 million people, more than half of whom were civilians. Millions died in genocides, including the Holocaust, and by massacres, starvation, and disease. After the Allied victory, Allied-occupied Germany, Germany, Allied-occupied Austria, Austria, Occupation of Japan, Japan, a ...
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Egon Pearson
Egon Sharpe Pearson (11 August 1895 – 12 June 1980) was one of three children of Karl Pearson and Maria, née Sharpe, and, like his father, a British statistician. Career Pearson was educated at Winchester College and Trinity College, Cambridge, and succeeded his father as professor of statistics at University College London and as editor of the journal '' Biometrika''. He is best known for development of the Neyman–Pearson lemma of statistical hypothesis testing. He was elected a Fellow of the Econometric Society in 1948. Pearson was President of the Royal Statistical Society in 1955–56, and was awarded its Guy Medal in gold in 1955. He was appointed a CBE in 1946. Pearson was elected a Fellow of the Royal Society Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the Fellows of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, in ...
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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 Fisher's null hypothesis testing. Neyman allocation, an optimal strategy for choosing sample sizes in stratified sampling, is named for him. Spława-Neyman spent the first part of his professional career at various institutions in Warsaw, Poland, and then at University College London; and the second part, at the University of California, Berkeley. Life and career He was born into a Polish people, Polish family in Bendery, in the Bessarabia Governorate of the Russian Empire, the fourth of four children of Czesław Spława-Neyman and Kazimiera Lutosławska. His family was Roman Catholic, and Neyman served as an Altar server, altar boy during his early childhood. Later, Neyman would become an agnostic. Neyman's family descended from a long line ...
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