Contents
What does a Tukey confidence interval mean?
Tukey’s method is used in ANOVA to create confidence intervals for all pairwise differences between factor level means while controlling the family error rate to a level you specify.
What is the Tukey Kramer method?
In the Tukey–Kramer method, the minimum significant difference (MSD) is calculated for each pair of means. It depends on the sample size in each group, the average variation within the groups, and the total number of groups.
Are Tukey confidence intervals wider?
The Tukey CI (2.36,26.5) is wider than the t-test CI (6.46,21.33).
What is the confidence coefficient of Tukey’s method?
Tukey’s method considers all possible pairwise differences of means at the same time. The Tukey method applies simultaneously to the set of all pairwise comparisons $$ \\{ \\mu_i – \\mu_j \\} \\, . $$ The confidence coefficient for the set, when all sample sizes are equal, is exactly \\(1 – \\alpha\\).
When to use the Tukey method for pairwise comparisons?
The Tukey method applies simultaneously to the set of all pairwise comparisons The confidence coefficient for the set, when all sample sizes are equal, is exactly . For unequal sample sizes, the confidence coefficient is greater than . In other words, the Tukey method is conservative when there are unequal sample sizes.
How to calculate Qcrit using Tukey’s HSD test?
Example 1: Analyze the data from Example 3 of Planned Comparisons using Tukey’s HSD test to compare the population means of women taking the drug and the control group taking the placebo. Using the Studentized Range q Table with α = .05, k = 4 and dfW = 44, we get qcrit = 3.7775.
When to use the Tukey method or studentized range distribution?
In other words, the Tukey method is conservative when there are unequal sample sizes. Studentized Range Distribution The studentized range \\(q\\) The Tukey method uses the studentized range distribution.