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Chi Square Calculator (or Chi Square Test Calculator or Chi Squared Calculator) is an online tool used to test the cumulative probability on the basis of chi-square statistics, which is used to find out whether the distribution of given category variables are differ from one another or not.
chi-square value can be calculated when observed frequency and expected frequency of a corresponding data is known. Chi square is denoted by $\chi^{2}$ Chi-Square Test Formula $\chi^{2}$ = $\sum$ $\frac{(O - E)^{2}}{E}$ where, $\chi^{2}$ = Chi-square value O = Observed frequency for each category E = Expected frequency for each category. |
Observed the given observed frequency and expected frequency.
Step 2 :
To find the chi-square value, apply the formula
chi-square value($\chi^{2}$) = $\sum$ $\frac{(O - E)^{2}}{E}$
where,
$\chi^{2}$ = Chi-square value
O = Observed frequency for each category
E = Expected frequency for each category.
Calculate the chi-square value, if observed frequency is 5 and expected frequency is 10?
Step 1 :Given observed frequency = 5
and expected frequency = 10
Step 2 :chi-square value($\chi^{2}$) = $\frac{(5 - 10)^{2}}{10}$
$\chi^{2}$ = $\frac{(-5)^{2}}{10}$
$\chi^{2}$ = $\frac{25}{10}$
$\chi^{2}$ = 2.5
Answer :chi-square value($\chi^{2}$) = 2.5
Calculate the chi-square value for the following data.
Color Red Green Yellow Observed Frequency 15 10 20 Expected Frequency 20 5 30
Step 1 :So, for the color red: (Observed frequency - Expected frequency)2 = (15 - 20)2 = 25
So, for the color green: (Observed frequency - Expected frequency)2 = (10 - 5)2 = 25
So, for the color yellow: (Observed frequency - Expected frequency)2 = (20 - 30)2 = 100
Step 2 :Chi-square value for the color red: $\frac{(O - E)^{2}}{E}$
$\Rightarrow$ $\frac{25}{20}$
$\Rightarrow$ 1.25
Chi-square value for the color green: $\frac{(O - E)^{2}}{E}$
$\Rightarrow$ $\frac{25}{5}$
$\Rightarrow$ 5
Chi-square value for the color yellow: $\frac{(O - E)^{2}}{E}$
$\Rightarrow$ $\frac{100}{30}$
$\Rightarrow$ 3.333
So, the chi-square value for the given data is given by = 1.25 + 5 + 3.333
Answer :chi-square value($\chi^{2}$) = 9.58300
