Statistical theory, the Glossary
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics.[1]
Table of Contents
44 relations: American Journal of Education, Cambridge University Press, Chapman & Hall, Charles Sanders Peirce, Clinical study design, Data analysis, Data collection, David A. Freedman, Decision theory, Descriptive statistics, Design of experiments, Dimensionality reduction, Erich Leo Lehmann, Estimation theory, Foundations of statistics, Interval estimation, Isis (journal), Joseph Jastrow, Leslie Kish, Mathematical optimization, Mathematical statistics, Multivariate statistics, Observational error, Oscar Kempthorne, Oxford University Press, Point estimation, Probability density function, Probability distribution, Probability theory, Randomization, Regression analysis, Robust statistics, Springer Science+Business Media, Statistical assumption, Statistical hypothesis test, Statistical inference, Statistical model, Statistical population, Statistics, Stephen Stigler, Summary statistics, Survey sampling, Utility, Wiley (publisher).
American Journal of Education
The American Journal of Education seeks to bridge and integrate the intellectual, methodological, and substantive diversity of educational scholarship and to encourage a vigorous dialogue between educational scholars and policy makers.
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Cambridge University Press
Cambridge University Press is the university press of the University of Cambridge.
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Chapman & Hall
Chapman & Hall is an imprint owned by CRC Press, originally founded as a British publishing house in London in the first half of the 19th century by Edward Chapman and William Hall.
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Charles Sanders Peirce
Charles Sanders Peirce (September 10, 1839 – April 19, 1914) was an American scientist, mathematician, logician, and philosopher who is sometimes known as "the father of pragmatism".
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Clinical study design
Clinical study design is the formulation of trials and experiments, as well as observational studies in medical, clinical and other types of research (e.g., epidemiological) involving human beings.
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Data analysis
Data analysis is the process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, informing conclusions, and supporting decision-making.
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Data collection
Data collection or data gathering is the process of gathering and measuring information on targeted variables in an established system, which then enables one to answer relevant questions and evaluate outcomes.
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David A. Freedman
David Amiel Freedman (5 March 1938 – 17 October 2008) was a Professor of Statistics at the University of California, Berkeley.
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Decision theory
Decision theory (or the theory of choice) is a branch of applied probability theory and analytic philosophy concerned with the theory of making decisions based on assigning probabilities to various factors and assigning numerical consequences to the outcome.
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Descriptive statistics
A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features from a collection of information, while descriptive statistics (in the mass noun sense) is the process of using and analysing those statistics.
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Design of experiments
The design of experiments (DOE or DOX), also known as experiment design or experimental design, is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation.
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Dimensionality reduction
Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the low-dimensional representation retains some meaningful properties of the original data, ideally close to its intrinsic dimension.
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Erich Leo Lehmann
Erich Leo Lehmann (20 November 1917 – 12 September 2009) was a German-born American statistician, who made a major contribution to nonparametric hypothesis testing.
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Estimation theory
Estimation theory is a branch of statistics that deals with estimating the values of parameters based on measured empirical data that has a random component.
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Foundations of statistics
The foundations of statistics consist of the mathematical and philosophical basis for arguments and inferences made using statistics.
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Interval estimation
In statistics, interval estimation is the use of sample data to estimate an interval of possible values of a parameter of interest.
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Isis (journal)
Isis is a quarterly peer-reviewed academic journal published by the University of Chicago Press.
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Joseph Jastrow
Joseph Jastrow (January 30, 1863 – January 8, 1944) was a Polish-born American psychologist notorious for inventions in experimental psychology, design of experiments, and psychophysics.
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Leslie Kish
Leslie Kish (born László Kiss, July 27, 1910 – October 7, 2000) was a Hungarian-American statistician and survey methodologist.
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Mathematical optimization
Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives.
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Mathematical statistics
Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data.
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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.
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Observational error
Observational error (or measurement error) is the difference between a measured value of a quantity and its unknown true value.
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Oscar Kempthorne
Oscar Kempthorne (January 31, 1919 – November 15, 2000) was a British statistician and geneticist known for his research on randomization-analysis and the design of experiments, which had wide influence on research in agriculture, genetics, and other areas of science.
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Oxford University Press
Oxford University Press (OUP) is the publishing house of the University of Oxford.
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Point estimation
In statistics, point estimation involves the use of sample data to calculate a single value (known as a point estimate since it identifies a point in some parameter space) which is to serve as a "best guess" or "best estimate" of an unknown population parameter (for example, the population mean).
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Probability density function
In probability theory, a probability density function (PDF), density function, or density of an absolutely continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would be equal to that sample.
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Probability distribution
In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes for an experiment.
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Probability theory
Probability theory or probability calculus is the branch of mathematics concerned with probability.
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Randomization
Randomization is a statistical process in which a random mechanism is employed to select a sample from a population or assign subjects to different groups.
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Regression analysis
In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable (often called the 'outcome' or 'response' variable, or a 'label' in machine learning parlance) and one or more independent variables (often called 'predictors', 'covariates', 'explanatory variables' or 'features').
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Robust statistics
Robust statistics are statistics that maintain their properties even if the underlying distributional assumptions are incorrect.
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Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Statistical assumption
Statistics, like all mathematical disciplines, does not infer valid conclusions from nothing.
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Statistical hypothesis test
A statistical hypothesis test is a method of statistical inference used to decide whether the data sufficiently support a particular hypothesis.
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Statistical inference
Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability.
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Statistical model
A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from a larger population).
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Statistical population
In statistics, a population is a set of similar items or events which is of interest for some question or experiment.
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Statistics
Statistics (from German: Statistik, "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
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Stephen Stigler
Stephen Mack Stigler (born August 10, 1941) is the Ernest DeWitt Burton Distinguished Service Professor at the Department of Statistics of the University of Chicago.
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Summary statistics
In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate the largest amount of information as simply as possible.
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Survey sampling
In statistics, survey sampling describes the process of selecting a sample of elements from a target population to conduct a survey.
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Utility
In economics, utility is a measure of the satisfaction that a certain person has from a certain state of the world.
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Wiley (publisher)
John Wiley & Sons, Inc., commonly known as Wiley, is an American multinational publishing company that focuses on academic publishing and instructional materials.
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References
[1] https://en.wikipedia.org/wiki/Statistical_theory
Also known as StatisticalTheory, Statistics theory, Statistics/Theory, Theoretical statistics, Theory of statistics.