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. |
| + | **FISHER(), returns 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== | ||
| + | *The syntax is to calculate FISHER in ZOS is <math>FISHER(Number)</math>. | ||
| + | **<math>Number</math> is the value to find the Fisher transformation. | ||
| + | *For e.g.,FISHER(0.1..0.4..0.1) | ||
| + | {{#ev:youtube|53cqYfgeMzA|280|center|Fisher Transformation}} | ||
==Examples== | ==Examples== | ||
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#FISHER(-0.3278) = -0.3403614004970268 | #FISHER(-0.3278) = -0.3403614004970268 | ||
#FISHER(1) = Infinity | #FISHER(1) = Infinity | ||
| − | #FISHER(-1) = Infinity | + | #FISHER(-1) = -Infinity |
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|I0SjHVOHztc|280|center|Sampling Distributions}} | ||
==See Also== | ==See Also== | ||
| Line 25: | Line 37: | ||
==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/ | + | [http://en.wikipedia.org/wiki/F-distribution Fisher Distribution] |
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 16:01, 7 August 2018
FISHER (Number)
- is the value to find the Fisher transformation.
- FISHER(), returns 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
- 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
Related Videos
See Also
References