Manuals/calci/CHIINV

CHIINV(prob,df)

• Where $prob$ is the probability value associated with the Chi-squared Distribution
• $df$ 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 $df$=$(r-1)(c-1)$.
• The $\mathrm {X} ^{2}$ 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 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.
• This function will give the error result when

1. Any one of the arguments are nonnumeric
2. df value is not an integer
3. The df <1or df>10^10
4. 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

• CHIDIST
• CHITEST

References

Bessel Function