Invariance (Statistical Quantity)/Examples/t-Test
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Example of Invariance in context of Statistical Quantities
The $t$ statistic used in the $t$-test is an example of an invariance.
It is unchanged by a linear transformation of the sample values, such as replacing $x_i$ with $3 x_i + 7$.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): invariance: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): invariance: 2.