Statistics theory: Difference between revisions

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'''Statistics''' refers first to a branch of [[mathematics]] that specializes in enumeration, or counted, [[data]] and their relation to measured [[data]].  It may also refer to a [[Fact of classification|fact of classification]], which is the chief source of all statistics.
'''Statistics''' primarily to a branch of [[mathematics]] that specializes in enumeration, or counted, [[data]] and their relation to measured [[data]].  It may also refer to a [[Fact of classification|fact of classification]], which is the chief source of all statistics, and has a relationship to [[psychometrics|psychometric]] applications in the [[social sciences]].


An individual statistic refers to a derived numerical value, such as a [[mean]], a [[coefficient of correlation]], or some other single [[Descriptive statistics|descriptive]] concept.  It may also refer to an idea associated with an average, such as a [[median]], or [[standard deviation]], or a value computed from a [[set]] of data. <ref>Guilford, J.P., Fruchter, B. (1978). ''Fundamental statistics in psychology and education''. New York: McGraw-Hill.</ref>  
An individual statistic refers to a derived numerical value, such as a [[mean]], a [[coefficient of correlation]], or some other single [[Descriptive statistics|descriptive]] concept.  It may also refer to an idea associated with an average, such as a [[median]], or [[standard deviation]], or a value computed from a [[set]] of data. <ref>Guilford, J.P., Fruchter, B. (1978). ''Fundamental statistics in psychology and education''. New York: McGraw-Hill.</ref>  

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Statistics primarily to a branch of mathematics that specializes in enumeration, or counted, data and their relation to measured data. It may also refer to a fact of classification, which is the chief source of all statistics, and has a relationship to psychometric applications in the social sciences.

An individual statistic refers to a derived numerical value, such as a mean, a coefficient of correlation, or some other single descriptive concept. It may also refer to an idea associated with an average, such as a median, or standard deviation, or a value computed from a set of data. [1]

More precisely, in mathematical statistics, and in general usage, a statistic is defined as any measurable function of a data sample [2]. A data sample is described by instances of a random variable, such as a height, weight, polling results, test performance, etc., obtained by random sampling of a population.

See also

References

  1. Guilford, J.P., Fruchter, B. (1978). Fundamental statistics in psychology and education. New York: McGraw-Hill.
  2. Shao, J. (2003). Mathematical Statistics (2 ed.). ser. Springer Texts in Statistics, New York: Springer-Verlag, p. 100.