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Statistical theory

Index Statistical theory

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]

45 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), John Wiley & Sons, Joseph Jastrow, Leslie Kish, List of statistics articles, 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 testing, Statistical inference, Statistical model, Statistical population, Statistics, Stephen Stigler, Summary statistics, Survey sampling, Utility.

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 (CUP) is the publishing business of the University of Cambridge.

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Chapman & Hall

Chapman & Hall was a British publishing house in London, founded in the first half of the 19th century by Edward Chapman and William Hall.

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Charles Sanders Peirce

Charles Sanders Peirce ("purse"; 10 September 1839 – 19 April 1914) was an American philosopher, logician, mathematician, and scientist 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 a 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 is the process of gathering and measuring information on targeted variables in an established systematic fashion, 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 Professor of Statistics at the University of California, Berkeley.

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Decision theory

Decision theory (or the theory of choice) is the study of the reasoning underlying an agent's choices.

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Descriptive statistics

A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features of a collection of information, while descriptive statistics in the mass noun sense is the process of using and analyzing those statistics.

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Design of experiments

The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe or explain the variation of information under conditions that are hypothesized to reflect the variation.

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Dimensionality reduction

In statistics, machine learning, and information theory, dimensionality reduction or dimension reduction is the process of reducing the number of random variables under consideration by obtaining a set of principal variables.

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Erich Leo Lehmann

Erich Leo Lehmann (20 November 1917 – 12 September 2009) was an 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 concern the epistemological debate in statistics over how one should conduct inductive inference from data.

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Interval estimation

In statistics, interval estimation is the use of sample data to calculate an interval of plausible values of an unknown population parameter; this is in contrast to point estimation, which gives a single value.

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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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John Wiley & Sons

John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.

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Joseph Jastrow

Joseph Jastrow (January 30, 1863 – January 8, 1944) was a Polish-born American psychologist, noted 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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List of statistics articles

No description.

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Mathematical optimization

In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.

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Mathematical statistics

Mathematical statistics is the application 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.

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Observational error

Observational error (or measurement error) is the difference between a measured value of a quantity and its true value.

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Oscar Kempthorne

Oscar Kempthorne (January 31, 1919 – November 15, 2000) was a 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 largest university press in the world, and the second oldest after Cambridge University Press.

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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 or statistic) 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), or density of a 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 equal that sample.

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Probability distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Probability theory

Probability theory is the branch of mathematics concerned with probability.

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Randomization

Randomization is the process of making something random; in various contexts this involves, for example.

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Regression analysis

In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships among variables.

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Robust statistics

Robust statistics are statistics with good performance for data drawn from a wide range of probability distributions, especially for distributions that are not normal.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes 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 testing

A statistical hypothesis, sometimes called confirmatory data analysis, is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables.

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Statistical inference

Statistical inference is the process of using data analysis to deduce properties of an underlying probability distribution.

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Statistical model

A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of some 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 is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Stephen Stigler

Stephen Mack Stigler (born August 10, 1941) is 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

Within economics the concept of utility is used to model worth or value, but its usage has evolved significantly over time.

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Statistical Theory, StatisticalTheory, Statistics/Theory, Theory of statistics.

References

[1] https://en.wikipedia.org/wiki/Statistical_theory

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