Tukey's 100(1 - α)% confidence interval for the difference between two population means μ_i - μ_j for balanced data is given by ____________________.

Question

Quizplus · Accepted Answer

The correct formula for Tukey's confidence interval for the difference between two population means for balanced data is:
( x¯i – x¯j ) ± qα,k N ( MSWE / n ) 1/2
where:
x¯i , x¯j : sample means of response variable for treatment i and treatment j, respectively.
qα,k : kth percentile of the distribution with degrees of freedom = k and α as the probability value, which is available in the Tukey's table.
MSWE : Mean square error for within-group variability, which can be obtained from the ANOVA table.
n : sample size per treatment group.
Substituting the values in the formula, we get answer choice B.

Tukey's 100(1 - α)% Confidence Interval for the Difference Between