Definition:Behrens-Fisher Test

Definition

The Behrens-Fisher test involves $2$ independent samples.

It is an extension of the $t$-test in which the requirement of equal population variances is relaxed.

It is still a subject of controversy, and its validity may not be universally accepted.

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Also see

• Results about the Behrens-Fisher test can be found here.

Source of Name

This entry was named for Walter-Ulrich Behrens and Ronald Aylmer Fisher.

Historical Note

The Behrens-Fisher test was invented by Walter-Ulrich Behrens in $1929$, and subsequently expanded upon by Ronald Aylmer Fisher in $1937$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Behrens-Fisher test
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Behrens-Fisher test