Exam 13: One-Way Within-Groups Anova
Exam 1: An Introduction to Statistics and Research Design156 Questions
Exam 2: Frequency Distributions89 Questions
Exam 3: Visual Displays of Data108 Questions
Exam 4: Central Tendency and Variability108 Questions
Exam 5: Sampling and Probability145 Questions
Exam 6: The Normal Curve, Standardization and Z Scores142 Questions
Exam 7: Hypothesis Testing With Z Tests141 Questions
Exam 8: Confidence Intervals, Effect Size, and Statistical Power147 Questions
Exam 9: The Single-Sample T Test124 Questions
Exam 10: The Paired-Samples T Test101 Questions
Exam 11: The Independent-Samples T Test99 Questions
Exam 12: One-Way Between-Groups Anova108 Questions
Exam 13: One-Way Within-Groups Anova102 Questions
Exam 14: Two-Way Between-Groups Anova115 Questions
Exam 15: Correlation139 Questions
Exam 16: Regression113 Questions
Exam 17: Chi-Square Tess120 Questions
Exam 18: Choosing and Reporting Statistics105 Questions
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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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(Multiple Choice)
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Correct Answer:
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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Correct Answer:
C
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
(Multiple Choice)
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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?
(Multiple Choice)
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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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