Definition:Fisher's z-Transformation

Definition

Fisher's $z$-transformation is a transformation of the sample estimate $r$ of a bivariate normal correlation coefficient to $z = \arctan r$ so as to give a better approximation to a normal distribution.

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Also known as

Fisher's $z$-transformation is also known as just the $z$-transformation.

Also see

• Results about Fisher's $z$-transformation can be found here.

Source of Name

This entry was named for Ronald Aylmer Fisher.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Fisher's $z$-transformation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Fisher's $z$-transformation