Statistics theory: Difference between revisions

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In the singular, a 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 of 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>  
In the singular, a 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 of 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>  


More precisely and generally, in mathematical statistics, a statistic is defined as any [[measurable  function]] of the data sample<ref>Shao, J. (2003). ''Mathematical Statistics'' (2 ed.). ser. Springer Texts in Statistics, New York: Springer-Verlag, p. 100.</ref>.  A data sample is regarded as instances of a [[random variable]] of interest such as a height, weight, polling results, test performance, and so on, obtained by [[random sampling]] of a population.   
More precisely, in mathematical statistics, and in general usage, a statistic is defined as any [[measurable  function]] of the data sample <ref>Shao, J. (2003). ''Mathematical Statistics'' (2 ed.). ser. Springer Texts in Statistics, New York: Springer-Verlag, p. 100.</ref>.  A data sample is regarded as instances of a [[random variable]] of interest such as a height, weight, polling results, test performance, and so on, obtained by [[random sampling]] of a population.   


==See also==
==See also==

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Statistics refers first to a branch of mathematics that specializes in enumeration data and their relation to measured data. It may also refer to a fact of classification, which is the chief source of all statistics.

In the singular, a 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 of 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 the data sample [2]. A data sample is regarded as instances of a random variable of interest such as a height, weight, polling results, test performance, and so on, 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.
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