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  2. Guidelines for Assessment and Instruction in Statistics ...

    en.wikipedia.org/wiki/Guidelines_for_Assessment...

    The GAISE document provides a two-dimensional framework, [11] specifying four components used in statistical problem solving (formulating questions, collecting data, analyzing data, and interpreting results) and three levels of conceptual understanding through which a student should progress (Levels A, B, and C). [12]

  3. List of textbooks in thermodynamics and statistical mechanics

    en.wikipedia.org/wiki/List_of_textbooks_in...

    Elementary Principles in Statistical Mechanics, developed with especial reference to the rational foundation of thermodynamics. New York: Charles Scribner's Sons . Sommerfeld, Arnold ; ed: F. Bopp, J. Meixner (1952).

  4. Elementary Principles in Statistical Mechanics - Wikipedia

    en.wikipedia.org/wiki/Elementary_Principles_in...

    V. Kumaran wrote the following comment regarding Elementary Principles in Statistical Mechanics: In this, he introduced the now standard concept of ‘ensemble’, which is a collection of a large number of indistinguishable replicas of the system under consideration, which interact with each other, but which are isolated from the rest of the universe.

  5. Statistical mechanics - Wikipedia

    en.wikipedia.org/wiki/Statistical_mechanics

    In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. Sometimes called statistical physics or statistical thermodynamics, its applications include many problems in the fields of physics, biology, [1] chemistry, neuroscience, [2] computer science, [3] [4] information theory [5] and ...

  6. Method of moments (statistics) - Wikipedia

    en.wikipedia.org/wiki/Method_of_moments_(statistics)

    In statistics, the method of moments is a method of estimation of population parameters.The same principle is used to derive higher moments like skewness and kurtosis. It starts by expressing the population moments (i.e., the expected values of powers of the random variable under consideration) as functions of the parameters of interest.

  7. Closed testing procedure - Wikipedia

    en.wikipedia.org/wiki/Closed_testing_procedure

    The closed testing principle allows the rejection of any one of these elementary hypotheses, say H i, if all possible intersection hypotheses involving H i can be rejected by using valid local level α tests; the adjusted p-value is the

  8. List of numerical analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical_analysis...

    Methods designed for the solution of ODEs from classical physics: Newmark-beta method — based on the extended mean-value theorem; Verlet integration — a popular second-order method; Leapfrog integration — another name for Verlet integration; Beeman's algorithm — a two-step method extending the Verlet method; Dynamic relaxation

  9. Ensemble (mathematical physics) - Wikipedia

    en.wikipedia.org/wiki/Ensemble_(mathematical...

    In physics, specifically statistical mechanics, an ensemble (also statistical ensemble) is an idealization consisting of a large number of virtual copies (sometimes infinitely many) of a system, considered all at once, each of which represents a possible state that the real system might be in.