Manuals/calci/CHIDIST
CHIDIST(x,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 x} is the value for which distribution is evaluated.
- 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 one_tailed probability of the chi-squared distribution.
- It is denoted by 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} distribution.
- Normally categorical data's may displayed in tables.
- 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 assumed value.
- The conditions 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 \chi^2} test is
- The table should be 2x2 or more than 2x2
- Each observations should not be dependent
- All expected values should be 10 or greater.
- The test statistic is:
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=\sum\frac{(Oi-Ei)^2}{Ei}}
The degrees of freedom are: 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)}
- r = No. of rows
- c = No. of columns
Where:
- Oi-the observed value in the ith cell
- Ei- the expected value in the ith cell
Also this function will the result as Error when
- 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 x} & 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} values are non-numeric
- 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 x} value is negative or value is not an integer
- 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 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}}
- Here CHIDIST=P(X>x),where X is a 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} random variable.
- CHIDIST(-2,1)=Error, because x is negative.
- CHIDIST(2,-1)=Error, because df<1
Examples
| CHIDIST(x,df) | x | df | RESULT |
|---|---|---|---|
| CHIDIST(18,2) | 18 | 2 | 0.0001234098 |
| CHIDIST(15,1) | 15 | 1 | 0.0001075112 |
| CHIDIST(2,1) | 2 | 1 | 0.157299207050 |
| CHIDIST(-2,1) | (-2) | 1 | error |
| CHIDIST(2,-1) | 2 | (-1) | error |