Difference between revisions of "Documentation/How Tos/Calc: CHISQDIST function"

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(New page: __NOTOC__ This function is not yet implemented but expected for OpenOffice.org version 3.1. == CHISQDIST == Calculates values for a χ<sup>2</sup>-distribution. === Syntax === <tt>''...)
 
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\begin{cases}
 
\begin{cases}
  0, & \textrm{if}\; x < 0 \\
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  0, & \textrm{if}\; x \le 0 \\
  
  \displaystyle \frac {x^{\frac k 2 -1}\,\mathrm e^{- \frac x 2}} {2^{\frac k 2}\,\Gamma(\frac k 2) }, &  \textrm{if}\; x \ge 0
+
  \displaystyle \frac {x^{\frac k 2 -1}\,\mathrm e^{- \frac x 2}} {2^{\frac k 2}\,\Gamma(\frac k 2) }, &  \textrm{if}\; x > 0
 
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\begin{cases}
 
\begin{cases}
  0, & \textrm{if}\; x<0 \\
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  0, & \textrm{if}\; x \le 0 \\
  \displaystyle \int_0^x \frac {t^{\frac k 2 -1}\,\mathrm e^{- \frac t 2}} {2^{\frac k 2}\,\Gamma(\frac k 2) }\,\mathrm d t, & \textrm{if}\; x \ge 0
+
  \displaystyle \int_0^x \frac {t^{\frac k 2 -1}\,\mathrm e^{- \frac t 2}} {2^{\frac k 2}\,\Gamma(\frac k 2) }\,\mathrm d t, & \textrm{if}\; x > 0
 
\end{cases}
 
\end{cases}
 
</math>
 
</math>

Revision as of 21:55, 6 December 2008

This function is not yet implemented but expected for OpenOffice.org version 3.1.

CHISQDIST

Calculates values for a χ2-distribution.

Syntax

CHISQDIST(x; k; Cumulative)

x is the number, at which you will evaluate the χ2-distribution.
k sets the degrees of freedom for the χ2-distribution
Constraint: k must be a positive integer
Cumulative is a logical value.
In the case Cumulative=TRUE() the cumulative distribution function is used, in the case Cumulative=FALSE() the probability density function. This parameter is optional. It is set to TRUE() if missing.

Semantic

CHISQDIST(x;k;FALSE()) returns values of the probability density function for the χ2-distribution:

CHISQDIST(x;k;TRUE()) returns the left tail probability for the χ2-distribution:

Example

CHSQDIST(2.7;3;FALSE())

returns approximately 0.1699395239

CHSQDIST(2.7;3;TRUE())

returns approximately 0.5597727056

Remarks

If you need CHISQDIST(x;k;TRUE()) with a non integer parameter k, then use GAMMADIST(x;k/2;2) instead.

In the density case the internal calculation uses logarithmic- and exponential function, if x >1425 or x · k > 1391000. The results are less accurate in those cases.

See also:

CHISQINV, LEGACY.CHIDIST, LEGACY.CHIINV, CHITEST

Statistical functions

Functions listed alphabetically, Functions listed by category

Issues:

This function is not available in version 3.0 and earlier.

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