A completely randomized design of an analysis of variance experiment produced a

Question

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 [, ]

Explanation / Answer

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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