Difference between revisions of "Manuals/calci/FISHER"

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<div style="font-size:30px">'''FISHER(x)'''</div><br/>
 
<div style="font-size:30px">'''FISHER(x)'''</div><br/>
 
*<math>x</math> is the number.
 
*<math>x</math> is the number.
 +
 
==Description==
 
==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>.
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*This function will give the result as error when:
 
*This function will give the result as error when:
 
  1.<math>x</math> is non-numeric
 
  1.<math>x</math> is non-numeric
  2.<math>x \le -1</math> or <math>x \ge 1</math> .
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  2.<math>x \le -1</math> or <math>x \ge 1</math>.
 +
 
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==ZOS Section==
 +
*The syntax is to calculate FISHER in ZOS is <math>FISHER(x)</math>.
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**<math>x</math> is the number.
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*For e.g.,fisher(0.1..0.4..0.1)
  
 
==Examples==
 
==Examples==

Revision as of 23:33, 17 June 2014

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 bi-variate normal observations.
  • In , 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 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 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 \ge 1}
.

ZOS Section

  • The syntax is to calculate FISHER in ZOS is 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 FISHER(x)} .
    • 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 the number.
  • For e.g.,fisher(0.1..0.4..0.1)

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

Fisher Distribution