Difference between revisions of "Manuals/calci/CHIINV"

Revision as of 05:48, 3 December 2013

CHIINV(prob,df)

Where $prob$ is the probability value associated with the Chi-squared Distribution
$df$ is the number of Degrees of Freedom

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 \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

1.Any one of the arguments are non-numeric
2. $df$  value is not an integer
3. $df<1$ or  $df>10^{1}0$ 
Also  $prob<0$  or  $prob>1$ .

@@ Line 10: / Line 10: @@
 *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 <math>CHIDIST(x,df)=prob</math>, then <math>CHIINV(prob,df)= x</math>.
-*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.
+*CHIINV use the iterating method to find the value of <math>x</math>.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
+.Any one of the arguments are non-numeric
-  df value is not an integer
+.<math> df</math> value is not an integer
-  The df <1or df>10^10
+.<math> df < 1 </math>or <math>df>10^10</math>
-  Also prob<0 or prob>1.
+  Also <math> prob < 0 </math> or <math>prob>1</math>.
 ==Examples==