Author Question: A multiple-comparison procedure for comparing four treatment means produced the confidence intervals ... (Read 158 times)

saraeharris · **on:** Feb 14, 2020

Question 1

A multiple-comparison procedure for comparing four treatment means produced the confidence intervals shown below. Rank the means from smallest to largest. Use solid lines to connect those means which are not significantly different.

(μ₁ - μ₂): (8, 20)
(μ₁ - μ₃): (-8, 4)
(μ₁ - μ₄): (10, 20)
(μ₂ - μ₃): (-20, -12)
(μ₂ - μ₄): (-2, 4)
(μ₃ - μ₄): (10, 24)
◦ 4 2 1 3
◦ 2 4

◦

Question 2

A multiple-comparison procedure for comparing four treatment means produced the confidence intervals shown below. For each pair of means, indicate which mean is larger or indicate that there is no significant difference.

(μ₁ - μ₂): (11, 17)
(μ₁ - μ₃): (-6, 2)
(μ₁ - μ₄): (12, 18)
(μ₂ - μ₃): (-23, -9)
(μ₂ - μ₄): (-6, 8)
(μ₃ - μ₄): (11, 23)
◦ μ₁ > μ₂; no significant difference between μ₁ and μ₃; μ₁ > μ₄; μ₂ < μ₃; no significant difference between μ₂ and μ₄; μ₃ > μ₄
◦ no significant difference between μ₁ and μ₂; no significant difference between μ₁ and μ₃;

no significant difference between μ₂ and μ₄; μ₃ > μ₄
◦ μ₁ > μ₂; μ₁ < μ₃; μ₁ > μ₄; μ₂ < μ₃; μ₂ < μ₄; μ₃ > μ₄
◦ μ₁ < μ₂; no significant difference between μ₁ and μ₃; μ₁ < μ₄; μ₂ > μ₃; no significant difference between μ₂ and μ₄; μ₃ < μ₄

nanny · **Reply #1 on:** Feb 14, 2020

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