Difference between revisions of "Manuals/calci/CHIINV"
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− | <div style="font-size:30px">'''CHIINV( | + | <div style="font-size:30px">'''CHIINV (probability,degrees_freedom,Accuracy,DivisionDepthArray)'''</div><br/> |
− | *Where | + | *Where <math>probability</math> is the value associated with the Chi-squared Distribution |
+ | *<math>degrees freedom</math> is the number of Degrees of Freedom. | ||
+ | *<math>Accuracy</math> is the correct decimal places of the result. | ||
+ | **CHIINV(), returns the inverse of the one-tailed probability of the chi-squared distribution. | ||
+ | |||
==Description== | ==Description== | ||
− | *This function gives the inverse value of | + | *This function gives the inverse value of One_tailed probability of the Chi-squared Distribution. |
− | *It is called | + | *It is called Inverted-Chi-square Distribution and it is a Continuous Probability Distribution of a positive-valued random variable. |
− | + | ||
− | *Degrees of freedom=(r-1)(c-1). | + | *Degrees of freedom <math>df</math>=<math>(r-1)(c-1)</math>. |
− | *The | + | *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 | + | *If <math>X</math> has the chi-squared distribution with n degrees of freedom, then according to the definition, <math>\frac{1}{X}</math> has the Inverse-chi-squared distribution with <math>n</math> degrees of freedom; |
− | *CHIINV | + | *If <math>CHIDIST (Number,DegreeOfFreedom)=probability</math>, then <math>CHIINV (probability,degrees freedom,Accuracy,DivisionDepthArray)= Number</math>. |
+ | *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 | *This function will give the error result when | ||
− | + | 1.Any one of the arguments are non-numeric | |
− | + | 2.degrees freedom value is not an integer | |
− | + | 3.degrees freedom < 1 or degrees freedom><math>10^{10}</math> | |
− | + | 4.Also probability < 0 or probability>1. | |
+ | |||
+ | ==ZOS== | ||
+ | *The syntax is to calculate CHIINV in ZOS is <math>CHIINV (probability,degrees_freedom,Accuracy,DivisionDepthArray)</math>. | ||
+ | **Where <math>probability</math> is the value associated with the Chi-squared Distribution | ||
+ | **<math>degrees freedom</math> is the number of Degrees of Freedom | ||
+ | *For e.g.,CHIINV(0.0257,3) | ||
+ | {{#ev:youtube|sfB2dLFPu1U|280|center|Inverse Chi-Squared Distribution}} | ||
==Examples== | ==Examples== | ||
− | #CHIINV(0.0001234098,2)=18 | + | #CHIINV(0.0001234098,2) = 18 |
− | #CHIINV(0.2547876,5)=6. | + | #CHIINV(0.2547876,5) = 6.5669999999999655 |
− | #CHIINV(0.157299207050,1)= | + | #CHIINV(0.157299207050,1) = 1.9991000000000005 |
− | #CHIINV(0.6785412,-1)= | + | #CHIINV(0.6785412,-1) = #N/A (DEGREESOFFREEDOM < 1) |
+ | |||
+ | ==Related Videos== | ||
+ | {{#ev:youtube|UPawNLQOv-8|280|center|Chi-Square Test}} | ||
+ | |||
==See Also== | ==See Also== | ||
*[[Manuals/calci/CHIDIST | CHIDIST ]] | *[[Manuals/calci/CHIDIST | CHIDIST ]] | ||
Line 27: | Line 43: | ||
==References== | ==References== | ||
− | [http://en.wikipedia.org/wiki/ | + | [http://en.wikipedia.org/wiki/Inverse-chi-squared_distribution| Inverse-chi-squared Distribution] |
+ | |||
+ | |||
+ | |||
+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
+ | |||
+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 03:22, 25 August 2020
CHIINV (probability,degrees_freedom,Accuracy,DivisionDepthArray)
- Where is the value associated with the Chi-squared Distribution
- is the number of Degrees of Freedom.
- is the correct decimal places of the result.
- CHIINV(), returns the inverse of the one-tailed probability of the chi-squared distribution.
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 has the chi-squared distribution with n degrees of freedom, then according to the definition, has the Inverse-chi-squared distribution with degrees of freedom;
- If , then .
- CHIINV use the iterating method to find the value of .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.degrees freedom value is not an integer 3.degrees freedom < 1 or degrees freedom> 4.Also probability < 0 or probability>1.
ZOS
- The syntax is to calculate CHIINV in ZOS is .
- Where is the value associated with the Chi-squared Distribution
- is the number of Degrees of Freedom
- For e.g.,CHIINV(0.0257,3)
Examples
- CHIINV(0.0001234098,2) = 18
- CHIINV(0.2547876,5) = 6.5669999999999655
- CHIINV(0.157299207050,1) = 1.9991000000000005
- CHIINV(0.6785412,-1) = #N/A (DEGREESOFFREEDOM < 1)
Related Videos
See Also
References
Inverse-chi-squared Distribution