ANOVA Table Post Hoc Analysis

question 11

Multiple Choice

ANOVA table Post hoc analysis
Tukey simultaneous comparison t-values
The Excel/MegaStat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt.
At a significance level of .05, the null hypothesis for the ANOVA F test is rejected. Analysis of the Tukey simultaneous confidence intervals shows that at the significance level (experimentwise) of .05, we would conclude that

• A) all four brands of vacuum cleaners differ from each other in terms of their performance.
• B) brand 1 differs from brand 2, and brand 2 differs from brand 3, while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance.
• C) brand 1 differs from brand 2, and brand 3 differs from brands 1, 2, and 4, while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance.
• D) only brand 3 differs from the other three brands (brands 1, 2, and 3), while the rest of the vacuum cleaner pairs do not differ from each other in terms of their performance.
• E) none of the four brands of vacuum cleaners differ from each other in terms of their performance.

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