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Chi-Square Calculation: An Example
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Play chess |
Not play chess |
Sum (row) |
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Like science fiction |
250(90) |
200(360) |
450 |
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Not like science fiction |
50(210) |
1000(840) |
1050 |
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Sum(col.) |
300 |
1200 |
1500 |
- X^2 (chi-square) calculation (numbers in parenthesis are expected counts calculated based on the data distribution in the two categories)
\[ X^{2}=\frac{(250-90)^2}{90} + \frac{(50-210)^2}{210} + \frac{(200-360)^2}{360} + \frac{(1000-840)^2} {840} = 507.93 \]
- It shows that like_science_fiction and play_chess are correlated in the group
