Manuals/calci/FISHER

FISHER(x)

• $x$ is the number.

Description

• This function gives the value of Fisher Transformation at $x$.
• Fisher Transformation is used to test the hypothesis of two correlations.
• It is mainly associated with the Pearson Product-Moment Correlation coefficient for bi-variate normal observations.
• In $FISHER(X)$, $x$ is the number which ranges between -1 to +1.
• The transformation is defined by : $z={\frac {1}{2}}ln(1+{\frac {x}{1-x}})=arctanh(x)$, where $ln$ is the natural logarithm function and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle arctanh} is the Inverse Hyperbolic function.
• This function will give the result as error when:

1.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x}
 is non-numeric
2.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x\le-1}
 or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x\ge}
 .

Examples

1. FISHER(0.5642) = 0.6389731838284958
2. FISHER(0)= 0
3. FISHER(-0.3278) = -0.3403614004970268
4. FISHER(1) = Infinity
5. FISHER(-1) = Infinity

See Also

• CORREL
• FISHERINV

References

Bessel Function