Difference between revisions of "Manuals/calci/FISHER"
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| − | <div style="font-size:30px">'''FISHER( | + | <div style="font-size:30px">'''FISHER(number)'''</div><br/> |
| − | *<math> | + | *<math>number</math> is the value to find the Fisher transformation. |
==Description== | ==Description== | ||
| − | *This function gives the value of Fisher Transformation | + | *This function gives the value of Fisher Transformation for the given number. |
*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 bi-variate normal observations. | *It is mainly associated with the Pearson Product-Moment Correlation coefficient for bi-variate normal observations. | ||
| − | *In <math>FISHER( | + | *In <math>FISHER(number)</math>, <math>number</math> is the value 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> | *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. | 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: | *This function will give the result as error when: | ||
| − | 1.<math> | + | 1.<math>number</math> is non-numeric |
| − | 2.<math> | + | 2.<math>number \le -1</math> or <math>number \ge 1</math>. |
==ZOS Section== | ==ZOS Section== | ||
| − | *The syntax is to calculate FISHER in ZOS is <math>FISHER( | + | *The syntax is to calculate FISHER in ZOS is <math>FISHER(number)</math>. |
| − | **<math> | + | **<math>number</math> is the value to find the Fisher transformation. |
*For e.g.,fisher(0.1..0.4..0.1) | *For e.g.,fisher(0.1..0.4..0.1) | ||
Revision as of 23:52, 17 June 2014
FISHER(number)
- 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 number} is the value to find the Fisher transformation.
Description
- This function gives the value of Fisher Transformation for the given number.
- 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 FISHER(number)} , 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 number} is the value 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 number}
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 number \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 number \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(number)}
.
- 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 number} is the value to find the Fisher transformation.
- For e.g.,fisher(0.1..0.4..0.1)
Examples
- FISHER(0.5642) = 0.6389731838284958
- FISHER(0)= 0
- FISHER(-0.3278) = -0.3403614004970268
- FISHER(1) = Infinity
- FISHER(-1) = Infinity