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 $\chi ^{2}$ 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 n degrees of freedom, then according to the definition, ${\frac {1}{X}}$ has the Inverse-chi-squared distribution with $n$ degrees of freedom;
• If $CHIDIST(x,df)=prob$, then $CHIINV(prob,df)=x$.
• CHIINV use the iterating method to find the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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 non-numeric
2.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  df}
 value is not an integer
3.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  df < 1 }
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle df>10^{10}}

4.Also Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  prob < 0 }
 or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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

Inverse-chi-squared Distribution