Difference between revisions of "Manuals/calci/FISHER"
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*<math>x</math> is the number. | *<math>x</math> is the number. | ||
==Description== | ==Description== | ||
− | *This function gives the value of Fisher transformation at x. | + | *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 bivariate normal observations. | ||
*In FISHER(X), x is the number which ranges between -1 to +1. | *In FISHER(X), x is the number which ranges between -1 to +1. | ||
− | *The transformaton is defined by : z=1/2 ln(1+x/1-x)= arctanh(x), where "ln" is the natural logarithm function and "arctanh" is the inverse hyperbolic function. | + | *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. |
*This function will give the result as error when: | *This function will give the result as error when: | ||
#x is nonnumeric | #x is nonnumeric |
Revision as of 07:24, 9 December 2013
FISHER(x)
- 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 bivariate normal observations.
- In FISHER(X), x is the number which ranges between -1 to +1.
- The transformaton is defined by : , where "ln" is the natural logarithm function and "arctanh" is the inverse hyperbolic function.
- This function will give the result as error when:
- x is nonnumeric
- x<=-1 or x>=1 .
Examples
- FISHER(0.5642)=0.6389731838284958
- FISHER(0)=0
- FISHER(-0.3278)=-0.3403614004970268
- FISHER(1)=Infinity
- FISHER(-1)=Infinity
See Also