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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Definitions:

Capacity

The maximum output or producing ability of a facility, machine, business, or system under normal working conditions.

Collateral

An asset that a borrower offers to a lender as security for a loan. If the borrower fails to repay, the lender may seize the collateral to recoup losses.

Choice

The act of selecting between two or more possibilities or the freedom to pick an option among several.

Capacity

The maximum amount that something can contain or produce; in a business context, it often refers to the maximum output or production ability.