A completely randomized design of an analysis of variance experiment produced a portion of the following ANOVA table.
Calculate 95% confidence interval estimates of 1 2,1 3, and 2 3 with Tukey’s approach.(Negative values should be indicated by a minus sign. Round intermediate values to 4 decimal places and final answers to 2 decimal places.)
| A completely randomized design of an analysis of variance experiment produced a portion of the following ANOVA table. | SUMMARY | | | | Groups | Count | Average | | Column 1 | 6 | 0.57 | | Column 2 | 6 | 1.38 | | Column 3 | 6 | 2.33 | |
| ANOVA | | | | | | | | Source of Variation | SS | df | MS | F | p-value | F crit | | Between Groups | 9.12 | 2 | 4.56 | 12.84 | 0.0006 | 3.68 | | Within Groups | 5.33 | 15 | 0.36 | | | | | | | | | | | | Total | 14.46 | 17 | | b. | Calculate 95% confidence interval estimates of 1 2,1 3, and 2 3 with Tukey’s approach.(Negative values should be indicated by a minus sign. Round intermediate values to 4 decimal places and final answers to 2 decimal places.) |
Population Mean
Differences | Confidence Interval | | 1 2 | [, ] | | 1 3 | [, ] | | 2 3 | [, ] | | |
The confidence intervals for Tukey\'s approach is
| Populaiton mean differences | q-value | standardized value | lower bound | upper bound | confidence interval |
| u1-u2 | -0.81 | 3.960 | 0.2449 | -1.78 | 0.16 | (-1.78,0.16) |
| u1-u3 | -1.76 | 3.960 | 0.2449 | -2.73 | -0.79 | (-2.73,-0.79) |
| u2-um3 | -0.95 | 3.960 | 0.2449 | -1.92 | 0.02 | (-1.92,0.02) |
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