Manuals/calci/CHITEST
CHITEST(ar,er)
- 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 ar} is the array of observed values
- 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 er} is the array of expected values
Description
- This function gives the the value from the chi-squared distribution. i.e it calculates 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} statistic and degrees of freedom, then calls CHIDIST.
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. Each cell has an expected frequency of at least five.
- 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} test first calculates 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} statistic using the formula:
X^2= summation(i=1 to columns)summation(j=1 to rows)(observed ij-expected ij)^2/grand total
- observed ij is the array of the observed values in a given set of values
- expected ij = column i total*row j total/grand total
- observed and expected must have the same number of rows and columns and there must be atleast 2 values in each.
- A low result 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} is an indicator of independence.
- From the formula 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} we will get 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} is always positive or 0.
- 0 only if observed ij=expected ij for each i and j.
- CHITEST uses 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} distribution with the number of Degrees of Freedom df.
where df=(r-1)(c-1),r>1 and c>1. If r=1 and c>1, then df = c-1 or if r>1 and c=1, then df=r-1. If r=c=1 then this function will give the error result
| Column1 | Column2 | Column3 | Column4 | |
| Row1 | 45 | 38 | 0.000313 | |
| Row2 | 10 | 23 | ||
| Row3 | 12 | 26 | ||
| Row4 | 40.5 | 49.36 | ||
| Row5 | 19.56 | 16.44 | ||
| Row6 | 17.05 | 17.41 |
Let’s see an example
B C
45 38
10 23
12 26
40.5 49.36
19.56 16.44
17.05 17.41
CHITEST (a, b)
i.e. =CHITEST (B2; C4, B5:C7) is 0.003