Difference between revisions of "Manuals/calci/FISHER"

Revision as of 00:02, 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.
This function will give the result as error when:

1. $x$  is non-numeric
2. $x\leq -1$  or <math>x\ge<math> .

@@ Line 2: / Line 2: @@
 *<math>x</math> is the number.
 ==Description==
-*This function gives the value of Fisher transformation at <math>x</math>.
+*This function gives the value of Fisher Transformation at <math>x</math>.
-*Fisher transformation is used  to test the hypothesis   of two  correlations.
+*Fisher Transformation is used  to test the hypothesis of two correlations.
-*It is mainly associated with the Pearson product-moment correlation coefficient for bivariate normal observations.
+*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.
+*In <math>FISHER(X)</math>, <math>x</math> is the number which ranges between -1 to +1.
-*The transformaton is defined by : <math>z=1/2  ln(1+x/1-x)= arctanh(x)</math>, where "ln" is the natural logarithm function and "arctanh" 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:
-#x is nonnumeric
+.<math>x</math> is non-numeric
-#x<=-1 or x>=1 .
+.<math>x\le-1</math> or <math>x\ge<math> .
 ==Examples==