t-statistic
t-statistic
UK[ˈtiː stəˌtɪstɪk]US[ˈtiː stəˌtɪstɪk]
n
A statistic that follows a Student's t-distribution under the null hypothesis, commonly used in t-tests to assess if the means of two groups are statistically different from each other.
n
The ratio of the departure of an estimated parameter from its hypothesized value to its standard error.
Morpheme Breakdown
t
statistic
t
symbol
statistic
noun
Etymology
The term is a modern scientific compound. The component 'statistic' has a long journey, tracing back to the Latin status, meaning "condition" or "position," which evolved through Italian statista (a person dealing with state affairs) to refer to data about the state. In the 18th century, this birthed the German Statistik, the study of political data, which entered English as 'statistics,' the science of collecting and analyzing numerical data. The 't' is a 20th-century addition, a symbolic label derived from the pseudonym "Student" used by the statistician William Sealy Gosset. Thus, 't-statistic' literally means "the Student's statistic," a specific measure born from agricultural experimentation that became a cornerstone of inferential statistics for small sample analysis.
Analysis
Structure: t (symbol) + statistic (noun)
- t: A single letter used as a mathematical symbol, originating from its designation as "Student's t" by William Sealy Gosset, who published under the pseudonym "Student". It functions as a specific identifier.
- statistic: From New Latin statisticus, from Italian statista (statesman), from Latin status (state, condition). It functions as the core noun, meaning a numerical value calculated from sample data.
Examples
The calculated t-statistic was 2.15, which exceeded the critical value for our significance level.
A large absolute value of the t-statistic provides evidence against the null hypothesis.
The researcher reported the t-statistic and its associated p-value in the results table.