Difference between revisions of "Manuals/calci/CHIINV"

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<div style="font-size:30px">'''CHIINV(prob,df)'''</div><br/>
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<div style="font-size:30px">'''CHIINV (probability,degrees_freedom,Accuracy,DivisionDepthArray)'''</div><br/>
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*Where <math>prob</math> is the probability value associated with the Chi-squared Distribution
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*Where <math>probability</math> is the value associated with the Chi-squared Distribution
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*<math>df</math> is the number of Degrees of Freedom
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*<math>degrees freedom</math> is the number of Degrees of Freedom.
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*<math>Accuracy</math> is the correct decimal places of the result.
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**CHIINV(), returns the inverse of the one-tailed probability of the chi-squared distribution.
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==Description==
 
==Description==
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*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.
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*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;
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*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;
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*If <math>CHIDIST(x,df)=prob</math>, then <math>CHIINV(prob,df)= x</math>.  
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*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.  
 
*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
 
  1.Any one of the arguments are non-numeric
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  2.<math> df</math> value is not an integer
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  2.degrees freedom value is not an integer
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  3.<math> df < 1 </math>or <math>df>10^{10}</math>
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  3.degrees freedom < 1 or degrees freedom><math>10^{10}</math>
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  4.Also <math> prob < 0 </math> or <math>prob>1</math>.
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  4.Also probability < 0  or probability>1.
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==ZOS==
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*The syntax is to calculate CHIINV in ZOS is <math>CHIINV (probability,degrees_freedom,Accuracy,DivisionDepthArray)</math>.
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**Where <math>probability</math> is the  value associated with the Chi-squared Distribution
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**<math>degrees freedom</math> is the number of Degrees of Freedom
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*For e.g.,CHIINV(0.0257,3)
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{{#ev:youtube|sfB2dLFPu1U|280|center|Inverse Chi-Squared Distribution}}
  
 
==Examples==
 
==Examples==
  
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#CHIINV(0.0001234098,2)=18
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#CHIINV(0.0001234098,2) = 18
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#CHIINV(0.2547876,5)=6.56699
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#CHIINV(0.2547876,5) = 6.5669999999999655
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#CHIINV(0.157299207050,1)=2
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#CHIINV(0.157299207050,1) = 1.9991000000000005
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#CHIINV(0.6785412,-1)=NAN
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#CHIINV(0.6785412,-1) = #N/A (DEGREESOFFREEDOM < 1)
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==Related Videos==
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{{#ev:youtube|UPawNLQOv-8|280|center|Chi-Square Test}}
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==See Also==
 
==See Also==
 
*[[Manuals/calci/CHIDIST  | CHIDIST ]]
 
*[[Manuals/calci/CHIDIST  | CHIDIST ]]
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==References==
 
==References==
 
[http://en.wikipedia.org/wiki/Inverse-chi-squared_distribution| Inverse-chi-squared Distribution]
 
[http://en.wikipedia.org/wiki/Inverse-chi-squared_distribution| Inverse-chi-squared Distribution]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ 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)
Inverse Chi-Squared Distribution

Examples

  1. CHIINV(0.0001234098,2) = 18
  2. CHIINV(0.2547876,5) = 6.5669999999999655
  3. CHIINV(0.157299207050,1) = 1.9991000000000005
  4. CHIINV(0.6785412,-1) = #N/A (DEGREESOFFREEDOM < 1)

Related Videos

Chi-Square Test

See Also

References

Inverse-chi-squared Distribution


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