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)
- is the value to find the Fisher transformation.
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 , is the value which ranges between -1 to +1.
- The transformation is defined by :
, 
where is the natural logarithm function and is the Inverse Hyperbolic function.
is the natural logarithm function and 
is the Inverse Hyperbolic function.
- This function will give the result as error when:
1. is non-numeric 2. or .
or 
.
ZOS Section
- The syntax is to calculate FISHER in ZOS is .
- 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