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> . | + | 2.<math>x \le -1</math> or <math>x \ge 1</math>. |
| + | |||
| + | ==ZOS Section== | ||
| + | *The syntax is to calculate FISHER in ZOS is <math>FISHER(x)</math>. | ||
| + | **<math>x</math> is the number. | ||
| + | *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
- FISHER(0.5642) = 0.6389731838284958
- FISHER(0)= 0
- FISHER(-0.3278) = -0.3403614004970268
- FISHER(1) = Infinity
- FISHER(-1) = Infinity