When Comparing More Than Two Treatment Means, Why Should You

question 15

Multiple Choice

When comparing more than two treatment means, why should you use an analysis of variance instead of using several t tests?

• A)Using several t tests increases the risk of a Type I error.
• B)Using several t tests increases the risk of a Type II error.
• C)The analysis of variance is more likely to detect a treatment effect.
• D)There is no advantage to using an analysis of variance instead of several t tests.

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Definitions:

ANOVA Models

ANOVA models are statistical models used to analyze the differences among group means in a sample, typically by comparing variance between groups to variance within groups.

Degrees of Freedom

The count of independent variables or measurements that can be allocated to a statistical distribution, subtracting the quantity of estimated parameters.

Number of Blocks

In experimental design, the total count of groups or sets into which experimental units are divided for the purpose of minimizing variance due to confounding variables.

Randomized Block Design

A statistical experiment design that aims to reduce variability among experimental units by grouping them into blocks before randomly assigning treatments.