Difference between revisions of "Manuals/calci/CHIINV"

From ZCubes Wiki
Jump to navigation Jump to search
Line 9: Line 9:
 
*Degrees of freedom <math>df</math>=<math>(r-1)(c-1)</math>.
 
*Degrees of freedom <math>df</math>=<math>(r-1)(c-1)</math>.
 
*The <math>\chi^2</math> static used to compare the observed value in each table to the value which would be the expected  under the assumption.
 
*The <math>\chi^2</math> static used to compare the observed value in each table to the value which would be the expected  under the assumption.
*If X has the chi-squared distribution with \nu degrees of freedom, then according to the first definition, 1/X has the inverse-chi-squared distribution with \nu degrees of freedom;If CHIDIST(x,df)=prob, then CHIINV(prob,df)=x.  
+
*If X has the chi-squared distribution with \nu degrees of freedom, then according to the first definition, 1/X has the Inverse-chi-squared distribution with \nu degrees of freedom;
*CHIINV using the iterating method to find the value of x.suppose the iteration has not converged after 100 searches, then the function gives the error result.  
+
*If CHIDIST(x,df)=prob, then CHIINV(prob,df)= x.  
 +
*CHIINV use the iterating method to find the value of x.suppose the iteration has not converged after 100 searches, then the function gives the error result.  
 
*This function will give the error result when   
 
*This function will give the error result when   
#Any one of the arguments are nonnumeric
+
Any one of the arguments are non-numeric
#df value is not an integer
+
df value is not an integer
#The df <1or df>10^10
+
The df <1or df>10^10
#Also prob<0 or prob>1.
+
Also prob<0 or prob>1.
  
 
==Examples==
 
==Examples==

Revision as of 05:46, 3 December 2013

CHIINV(prob,df)


  • Where is the probability value associated with the Chi-squared Distribution
  • is the number of Degrees of Freedom

Description

  • This function gives the inverse value of One_tailed probability of the Chi-squared Distribution.
  • It is called Inverted-Chi-square Distribution and it is a Continuous Probability Distribution of a positive-valued random variable.
  • Degrees of freedom =.
  • The static used to compare the observed value in each table to the value which would be the expected under the assumption.
  • If X has the chi-squared distribution with \nu degrees of freedom, then according to the first definition, 1/X has the Inverse-chi-squared distribution with \nu degrees of freedom;
  • If CHIDIST(x,df)=prob, then CHIINV(prob,df)= x.
  • CHIINV use the iterating method to find the value of x.suppose the iteration has not converged after 100 searches, then the function gives the error result.
  • This function will give the error result when
Any one of the arguments are non-numeric
df value is not an integer
The df <1or df>10^10
Also prob<0 or prob>1.

Examples

  1. CHIINV(0.0001234098,2)=18
  2. CHIINV(0.2547876,5)=6.56699
  3. CHIINV(0.157299207050,1)=2
  4. CHIINV(0.6785412,-1)=NAN

See Also

References

Bessel Function