Exam 13: One-Way Within-Groups Anova

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For the data in the source table, what is the effect size for this one-way within-groups ANOVA? Source SS df MS F Between-groups 10.1 2 5.05 4.751 Subjects 7.4 4 1.85 1.740 Within-groups 8.5 8 1.063 Total 26 14

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D

A researcher examines the effectiveness of different body lotions by having 12 participants apply four different lotions to the same, unique body locations daily for two weeks.For example, lotion #1 is always applied to the right thigh, while lotion #2 is applied to the upper right arm.The participants were randomly selected at a drugstore in a busy area.What is the research hypothesis for this study?

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For the data in the source table, what is the F statistic of interest to researchers? Source SS df MS F Between-groups 39.52 2 19.76 Subjects 6.45 5 1.29 Within-groups 19.93 10 1.993 Total 53 17

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For the data in the source table, what is the effect size for this one-way within-groups ANOVA? Source SS df MS F Between-groups 39.52 2 19.76 Subjects 6.45 5 1.29 Within-groups 19.93 10 1.993 Total 53 17

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All of the assumptions for the one-way within-groups ANOVA are the same as those for the one-way between-groups ANOVA.

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Which statement accurately captures why within-groups designs are preferred over between-groups designs?

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Pet preference was compared for four different types of animals (dogs, cats, birds, and fish), using a one-way within-groups ANOVA with nine participants.The standard error was calculated as 0.19.What is the Tukey HSD value when comparing data for cats and birds, given the following means for preference: Dogs M = 4.43, Cats M = 4.18, Birds M = 2.73, Fish M = 4.07?

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The effect size measure for the one-way within-groups ANOVA is R2.

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Pet preference was compared for four different types of animals (dogs, cats, birds, and fish), using a one-way within-groups ANOVA with nine participants.The standard error was calculated as 0.19.What is the Tukey HSD value when comparing data for dogs and birds given the following means for preference: Dogs M = 4.43, Cats M = 4.18, Birds M = 2.73, Fish M = 4.07?

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For the data in the source table, what is the effect size for this one-way within-groups ANOVA? Source SS df MS F Between-groups 12.159 3 4.053 2.98 Subjects 6.77 5 1.354 0.996 Within-groups 20.4 15 1.360 Total 39.329 23

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Which degrees of freedom value is unique to the one-way within-groups ANOVA?

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The benefits of the within-groups design are seen in the calculation of the F statistic, in that the:

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If using a within-groups design results in a larger F statistic, this also means:

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When using matched groups for a one-way within-groups ANOVA, a researcher should "match" participants on:

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The primary benefit of the within-groups design is that within-groups variability is reduced.

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When it is not possible to have participants experience all levels of the independent variable, an alternative approach to a within-groups design can be used.This approach offers the same advantage in statistical power as the within-groups design by:

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When using a one-way within-groups ANOVA, the variability due to individual differences is reduced resulting in a _____ F statistic, making it _____ to reject the null hypothesis.

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There are some problems with a matched groups design, including that:

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For the data in the source table, what is the effect size for this one-way within-groups ANOVA? Source SS df MS F Between-groups 10.1 2 5.05 4.751 Subjects 7.4 4 1.85 1.740 Within-groups 8.5 8 1.063 Total 26 14

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In addition to hypothesis testing, post hoc tests are required as a way to assess:

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