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 06:24, 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:
  1. x is nonnumeric
  2. x<=-1 or x>=1 .

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


References

Bessel Function