Manuals/calci/FISHER
FISHER(x)
- is the number.
is the number.Description
- This function gives the value of Fisher Transformation at .
- 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 , is the number which ranges between -1 to +1.
- The transformation is defined by : 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 z=\frac{1}{2} ln(1+\frac{x}{1-x})= arctanh(x)} , where 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 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 <math>x\ge<math> .
Examples
- FISHER(0.5642)=0.6389731838284958
- FISHER(0)=0
- FISHER(-0.3278)=-0.3403614004970268
- FISHER(1)=Infinity
- FISHER(-1)=Infinity
See Also