Difference between revisions of "Manuals/calci/CHIINV"
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*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. | ||
*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 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 | *This function will give the error result when | ||
| − | Any one of the arguments are non-numeric | + | 1.Any one of the arguments are non-numeric |
| − | df value is not an integer | + | 2.<math> df</math> value is not an integer |
| − | + | 3.<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== | ==Examples== | ||
Revision as of 05:48, 3 December 2013
CHIINV(prob,df)
- Where 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} is the probability value associated with the Chi-squared Distribution
- 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} 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 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} =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 (r-1)(c-1)} .
- The 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 \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 , then 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 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
, then 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 CHIINV(prob,df)= x}
.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}
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
- CHIINV(0.0001234098,2)=18
- CHIINV(0.2547876,5)=6.56699
- CHIINV(0.157299207050,1)=2
- CHIINV(0.6785412,-1)=NAN