Exam 11: Comparing More Than Two Groups

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What do between-groups variance and within-groups variance include?

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The between-groups variance includes systematic variance (the effects of the independent variable and possibly confounds) and error variance. The within-groups variance includes variance due to chance factors.

If the null hypothesis for an ANOVA is false, then the F-ratio should be:

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C

If between-groups variance is large, then we have likely observed:

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D

What is the Bonferroni adjustment? What would the Bonferoni adjustment be for a study with four groups for which a researcher decided to use t tests for comparisons with α\alpha = .05?

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The Bonferroni adjustment for a study in which I had three groups I wanted to compare would be:

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The smaller the between-groups variance, _____.

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When the F-ratio is larger than 1.00, it means that:

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The larger the between-groups variance, _____.

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If I used four t tests to make comparisons between four groups on which I had collected data, the probability of a Type I error would be:

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If within-groups variance is large, then we have observed:

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If the null hypothesis for an ANOVA is true, then the F-ratio should be:

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To determine the probability of a Type I error when using multiple comparisons, we use the following formula:

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If the alternative hypothesis for an ANOVA is supported, then the F-ratio should be:

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The alternative hypothesis for a one-way randomized ANOVA states that:

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If the alternative hypothesis for an ANOVA is not supported, then the F-ratio should be:

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If I used three t tests to make comparisons between three groups on which I had collected data, the probability of a Type I error would be:

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The null hypothesis for a one-way randomized ANOVA states that:

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The Bonferroni adjustment for a study in which I had four groups I wanted to compare would be:

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The smaller the within-groups (error) variance, _____.

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