Question
Find the expected count and contribution to the chi-square statistic for the (Group1, Yes) cell in...
Find the expected count and contribution to the chi-square statistic for the (Group1, Yes) cell in the two-way table below.
Yes No Total
Group 1 58 41 99
Group 2 140 66 206
Group 3 69 26 95
Total 267 133 400
Round your answer for the expected count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.
Expected count =
Contribution to the chi-square statistic =
Homework Answers
Answer #1
E: Expected frequency.
E = ( Row total*Column total) / Grand total
| Yes | No | Total | |
| Group 1 | 58 | 41 | 99 |
| Group 2 | 140 | 66 | 206 |
| Group 3 | 69 | 26 | 95 |
| Total | 267 | 133 | 400 |
Expected counts are
| O | E |
| 58 | 66.0825 |
| 41 | 32.9175 |
| 140 | 137.505 |
| 66 | 68.495 |
| 69 | 63.4125 |
| 26 | 31.5875 |
Test statistic is
O: Observed frequency
E: Expected frequency.
| O | E | (O-E) | (O-E)^2 | (O-E)^2/E |
| 58 | 66.0825 | -8.0825 | 65.32681 | 0.988564 |
| 41 | 32.9175 | 8.0825 | 65.32681 | 1.984562 |
| 140 | 137.505 | 2.495 | 6.225025 | 0.045271 |
| 66 | 68.495 | -2.495 | 6.225025 | 0.090883 |
| 69 | 63.4125 | 5.5875 | 31.22016 | 0.492334 |
| 26 | 31.5875 | -5.5875 | 31.22016 | 0.988371 |
| Total | 4.590 |
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