# Sample Statistic

A Sample Statistic is a numeric value (a measure) produced by a statistic function that characterizes a statistical sample.

**AKA:**Statistic, Statistic Value.**Context:**- It can be defined as [math]\displaystyle{ t=g(s) }[/math] where [math]\displaystyle{ s=x_1,x_2,\cdots,x_n }[/math] is a statistical sample and [math]\displaystyle{ g }[/math] is a statistic function.
- It can be a member of a Statistic Dataset.

**Example(s):**- 37.1 is the mean of the age in city C.
- a Sample Mean, Sample Median, or Sample Variance.
- a Point Estimate.
- a Video Game Statistic.
- …

**Counter-Example(s):****See:**Statistical Sample, Statistical Population, Test Statistic, Statistical Hypothesis Testing, Descriptive Statistic.

## References

### 2016

- (Stat Trek, 2016) ⇒ "Populations and Samples", © 2011, Encyclopedia of Mathematics] Retrieved October 11, 2016, from http://stattrek.com/sampling/populations-and-samples.aspx
- QUOTE: Other differences have to do with nomenclature, notation, and computations. For example, a measurable characteristic of a population, such as a mean or standard deviation, is called a parameter; but a measurable characteristic of a sample is called a statistic.

- (Wikipedia, 2016) ⇒ https://www.wikiwand.com/en/Statistic
- A
**statistic**(singular) or**sample statistic**is a single measure of some attribute of a sample (e.g., its arithmetic mean value). It is calculated by applying a function (statistical algorithm) to the values of the items of the sample, which are known together as a set of data.

- A

- More formally, statistical theory defines a statistic as a function of a sample where the function itself is independent of the sample's distribution; that is, the function can be stated before realization of the data. The term statistic is used both for the function and for the value of the function on a given sample.
- A statistic is distinct from a statistical parameter, which is not computable because often the population is much too large to examine and measure all its items. However, a statistic, when used to estimate a population parameter, is called an estimator. For instance, the
*sample mean*is a statistic that estimates the*population mean*, which is a parameter. - When a statistic (a function) is being used for a specific purpose, it may be referred to by a name indicating its purpose: in descriptive statistics, a descriptive statistic is used to describe the data; in estimation theory, an estimator is used to estimate a parameter of the distribution (population); in statistical hypothesis testing, a test statistic is used to test a hypothesis. However, a single statistic can be used for multiple purposes – for example the sample mean can be used to describe a data set, to estimate the population mean, or to test a hypothesis.

### 2015

- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/statistic Retrieved:2015-2-23.
- A
**statistic**(singular) is a single measure of some attribute of a sample (e.g., its arithmetic mean value). It is calculated by applying a function (statistical algorithm) to the values of the items of the sample, which are known together as a set of data.More formally, statistical theory defines a statistic as a function of a sample where the function itself is independent of the sample's distribution; that is, the function can be stated before realization of the data. The term statistic is used both for the function and for the value of the function on a given sample.

A statistic is distinct from a statistical parameter, which is not computable because often the population is much too large to examine and measure all its items. However, a statistic, when used to estimate a population parameter, is called an estimator. For instance, the

*sample mean*is a statistic that estimates the*population mean*, which is a parameter.When a statistic (a function) is being used for a specific purpose, it may be referred to by a name indicating its purpose: in descriptive statistics, a descriptive statistic is used to describe the data; in estimation theory, an estimator is used to estimate a parameter of the distribution (population); in statistical hypothesis testing, a test statistic is used to test a hypothesis. However, a single statistic can be used for multiple purposes – for example the sample mean can be used to describe a data set, to estimate the population mean, or to test a hypothesis.

- A

### 2011

### 2009

- (WordNet, 2009) ⇒ http://wordnetweb.princeton.edu/perl/webwn?s=statistic
- S: (n) statistic (a datum that can be represented numerically)