Question

Find the expected count and the contribution to the chi-square statistic for the (Group 2, Yes) cell in the two-way table below. Yes No Total Group 1 56 44 100 Group 2 139 68 207 Group 3 67 29 96 Total 262 141 403 Round your answer for the excepted 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 STATISTICS:

Answer 1

Calculate the expected count and the contribution to the chi-square statistic for the (Group 2, Yes) cell in the two-way table below. Yes Group 1 56 Group 2 | 139 Group 3 67 Total = 262 No 44 68 29 R = 141 Total R = 100 R2 = 207 R2 = 96 N= 403 Expected count for the (Group 2, Yes) cell in the two-way table is: 2nd row total x 1* column total Grand total Rz xC, N 207 x 262 403 = 134.5757 134.6 Expected count 134.6 Observed count for the (Group2, Yes) cell in the two-way table is, 021 =139. Now, calculate the contribution to the chi-square statistic for the (Group 2, Yes) cell in the two-way table. xən = (021-Eu) E21 (139–134.6) 134.6 = 0.14383358 0.144 Contribution to the chi-square statistic = 0.144.