Exam 13: One-Way Within-Groups Anova

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The subjects sum of squares calculated in the one-way within-groups ANOVA assesses:

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The National Collegiate Athletic Association (NCAA) cares about success for athletes both in their sports and in their education.A researcher hired by the NCAA wants to know how athletes' academic performance is affected by the stage of their competitive season.She examines performance in the preseason, throughout the active competitive season, and postseason, having 150 athletes, from across several different sports, assessed during each period.What statistical analysis would be appropriate for this research?

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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 cats 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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Effect sizes help us determine whether the differences observed are large enough to matter in a within-groups ANOVA.

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Dr.Sanders was interested in investigating the effects of stress on memory.He exposed participants to public speaking stress and room temperature stress and gave them a memory measure immediately after exposure to the two stressors.Dr.Sanders also gave participants the memory measure at baseline, when they first entered the research laboratory.Dr.Sanders hypothesized that participants' memories would be most affected by the two stressors compared to the baseline condition.What statistical test should Dr.Sanders use to test her hypothesis?

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When conducting the one-way within-groups ANOVA, two F statistics are calculated, but only the between-groups F statistic is of interest.

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All within-groups designs require that the same people experience each level of the independent variable.

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A one-way within-groups ANOVA on 3 and 18 degrees of freedom results in an F statistic of 3.12.What decision should be made about the hypothesis based on this statistic?

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Effect sizes help us determine which means are statistically significantly different from each other in a within-groups ANOVA.

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Order effects likely have been addressed if counterbalancing has occurred in the research.

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Compared to a one-way between-groups ANOVA, the effect size calculation for the one-way ANOVA differs in:

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The one-way within-groups ANOVA is the multiple-group equivalent of an independent-samples t test.

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Because the same participants are used in each condition, post hoc tests are not necessary when conducting a within-groups ANOVA.

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Which formula for calculating the subjects sum of squares for a within-groups ANOVA is correct?

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To calculate the total sum of square for the one-way within-groups ANOVA, each score's deviation from the _____ is squared and summed.

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A one-way within-groups ANOVA on 2 and 22 degrees of freedom results in an F statistic of 3.64.What decision should be made about the hypothesis based on this statistic?

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The one-way within-groups ANOVA is the multiple-group equivalent of a paired-samples t test.

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Buying jeans can be a challenge for women.A local shop owner wants to be selective in what brands of jeans she carries in her store.She gets six of her closest friends to try five different pairs of jeans, with the requirement that they wear each pair for two whole days, without washing, and they rate the jeans at the end of the second day.What research design should she use to analyze her data?

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For the data in the source table, what decision can be made about the hypotheses being tested? Source SS df MS F Between-groups 12.159 3 4.053 Subjects 6.77 5 1.354 Within-groups 20.4 15 1.360 Total 39.329 23

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