# Statistic Function

(Redirected from statistic function)

A Statistic Function is a multiset scoring function that summarizes some numerical property of a multiset.

**AKA:**Scalar Statistic, Aggregation Function.**Context:****range:**a Statistic Value.- It can range from being a Population Statistic Function to being a Sample Statistic Function.

**Example(s):**- any Population Aggregation Function, such as an arithmetic mean function or an arithmetic median function.
- any Sample Statistic Function, such as a Sample Mean, Sample Median.
- a Count Function, for count values.
- a Maximum Function, for a maximum value.
- a Minimum Function, for a minimum value.
- a Sum Function, for a sum value.
- a P Value Function, for p values.

**Counter-Example(s):****See:**Metric Function, Random Variable, Moment, Aggregate Function, Point Estimator.

## References

### 2009

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Aggregate_function
- In Computer Science, an
**aggregate function**is a function that returns a single value from a collection of input values such as a set, a bag or a list. - Common aggregate functions include:
- Aggregate functions are common in numerous Programming Languages such as Ruby, in spreadsheets, and in Relational Algebra.

- In Computer Science, an
- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Summary_statistics
- In Descriptive Statistics,
**summary statistics**are used to summarize a set of observations, in order to communicate the largest amount as simply as possible. Statisticians commonly try to describe the observations in- a measure of location, or Central Tendency, such as the Arithmetic Mean, Median, mode, or Interquartile Mean
- a measure of Statistical Dispersion like the Standard Deviation, Variance, range, or Interquartile Range, or Absolute Deviation.
- a measure of the shape of the distribution like Skewness or Kurtosis

- A common collection of Order Statistics used as summary statistics are the Five-Number Summary, sometimes extended to a Seven-Number Summary, and the associated Box Plot.

- In Descriptive Statistics,