Difference between revisions of "Manuals/calci/FISHER"

Revision as of 00:12, 10 December 2013

FISHER(x)

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 $arctanh$ is the Inverse Hyperbolic function.

1. $x$  is non-numeric
2. $x\leq -1$  or  $x\geq 1$  .

@@ Line 6: / Line 6: @@
 *It is mainly associated with the Pearson Product-Moment Correlation coefficient for bi-variate normal observations.
 *In <math>FISHER(X)</math>, <math>x</math> is the number which ranges between -1 to +1.
-*The transformation is defined by : <math>z=\frac{1}{2} ln(1+\frac{x}{1-x})= arctanh(x)</math>, where <math>ln</math> is the natural logarithm function and <math>arctanh</math> is the Inverse Hyperbolic function.
+*The transformation is defined by : <math>z=\frac{1}{2} ln(1+\frac{x}{1-x})= arctanh(x)</math>
+where <math>ln</math> is the natural logarithm function and <math>arctanh</math> is the Inverse Hyperbolic function.
 *This function will give the result as error when:
 .<math>x</math> is non-numeric