Statistics theory: Difference between revisions
imported>Hendra I. Nurdin (Editing explained in Talkpage) |
imported>Hendra I. Nurdin mNo edit summary |
||
Line 3: | Line 3: | ||
'''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|fact of classification]], which is the chief source of all statistics. | '''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|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 [[ | 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>J. Shao (2003). ''Mathematical Statistics'' (2 ed.). ser. Springer Text in Statistics, New York: McGraw-Hill, 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 and generally, in mathematical statistics, a statistic is defined as any [[measurable function]] of the data sample<ref>J. Shao (2003). ''Mathematical Statistics'' (2 ed.). ser. Springer Text in Statistics, New York: McGraw-Hill, 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. |
Revision as of 17:27, 10 November 2007
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 and generally, in mathematical statistics, 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
- Coefficient of correlation
- Data
- Descriptive statististics
- Mathematics
- Mean
- Median
- Mode
- Psychometrics
- Set
- Standard deviation