Manuals/calci/FISHER

FISHER(x)

• $x$ is the number.

Description

• This function gives the value of Fisher Transformation at $x$.
• 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 $FISHER(X)$, $x$ is the number which ranges between -1 to +1.
• The transformation is defined by : $z={\frac {1}{2}}ln(1+{\frac {x}{1-x}})=arctanh(x)$

where $ln$ is the natural logarithm function and $arctanh$ is the Inverse Hyperbolic function.

• This function will give the result as error when:

1.$x$ is non-numeric
2.$x\leq -1$ or $x\geq 1$.

ZOS Section

• The syntax is to calculate FISHER in ZOS is $FISHER(x)$.
  • $x$ 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

• CORREL
• FISHERINV

References

Fisher Distribution