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Comparing One-Way and Repeated-Measures ANOVA
The one-way ANOVA is used for between-subjects designs with separate groups, whereas the repeated-measures ANOVA is used for within-subjects designs with the same participants. A key advantage of the repeated-measures ANOVA is that stable individual differences are subtracted from the within-groups variance (), leading to a lower , a higher -ratio, and a more sensitive test compared to a one-way ANOVA where these differences inflate the variance.
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Research Methods in Psychology - 4th American Edition @ KPU
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Which of the following best describes the type of research design that a repeated-measures ANOVA is utilized for?
In a study where the same group of participants is tested on their reaction time after consuming three different levels of caffeine, a repeated-measures ANOVA is appropriate because it can account for and remove each participant's natural baseline speed from the statistical analysis.
A sports psychologist investigates whether a new mental visualization technique improves the free-throw accuracy of 20 basketball players. She tests each player's accuracy under three conditions: No Visualization, 5 Minutes of Visualization, and 15 Minutes of Visualization. Match the components of this research study to the correct statistical terms used in a Repeated-Measures ANOVA.
In a psychological study using a within-subjects design, a researcher performs a repeated-measures ANOVA to determine if an intervention caused a significant change in behavior. Arrange the following components of variance in the logical order they are partitioned during the analysis, starting from the most inclusive aggregate of all data and ending with the specific systematic effect of the independent variable.
A repeated-measures ANOVA uses the exact same mathematical calculations as a standard one-way between-subjects ANOVA, because both tests are designed to compare multiple group means.
Comparing One-Way and Repeated-Measures ANOVA
Within-Groups Variance in Repeated-Measures ANOVA
A researcher is deciding between a standard one-way between-subjects ANOVA and a repeated-measures ANOVA to analyze data from a study comparing three different conditions. Which of the following best explains how a repeated-measures ANOVA mathematically accounts for the within-subjects design to improve statistical analysis?
In a study where the same 50 participants are measured on their cognitive performance under three different sleep-deprivation conditions, a researcher justifies using a repeated-measures ANOVA by claiming it is a more powerful test than a design where different people are assigned to each condition. To evaluate the validity of this justification, one must recognize that the repeated-measures ANOVA is more sensitive because it identifies and removes _____ variance, which represents the stable, inherent differences between individual participants that would otherwise inflate the error term.
Match each hypothetical research scenario to the most appropriate statistical test or experimental design concept based on the nature of the groups and measurements.
A developmental psychologist measures the attention spans of a single cohort of children at ages 5, 7, and 9. While the underlying logic matches a one-way ANOVA, the mathematical approach of the repeated-measures ANOVA must be adapted to account for measuring the dependent variable multiple times for each _____.
Order the logical sequence of steps a researcher must take when evaluating whether to use and apply a repeated-measures ANOVA to analyze experimental data.
Learn After
In a repeated-measures ANOVA, stable individual differences among participants are subtracted from the within-groups variance (MS_W), resulting in a lower MS_W and a higher F-ratio compared to a one-way ANOVA using separate groups.
Why does a repeated-measures ANOVA typically provide a more 'sensitive' test of an independent variable compared to a one-way between-subjects ANOVA?
A researcher studying the effect of different lighting conditions on concentration levels chooses a repeated-measures ANOVA (testing the same participants in every condition) instead of a one-way between-subjects ANOVA. Which statement best explains why this choice likely leads to a higher F-ratio?
A researcher is comparing two ways to analyze a study on the effectiveness of three different anxiety-reduction exercises. One approach uses a between-subjects design (One-Way ANOVA), and the other uses a within-subjects design (Repeated-Measures ANOVA). Match each statistical component or outcome to how it functions in this specific comparison.
A researcher is determining why a repeated-measures ANOVA provides a more sensitive test than a one-way between-subjects ANOVA for the same data. Arrange the following steps to show the logical progression of how variance partitioning leads to this increased sensitivity.
In a repeated-measures ANOVA, why is the F-ratio typically larger than in a one-way ANOVA conducted on equivalent data?
A researcher is designing a study to test the impact of three different font styles on reading speed. They anticipate that the natural variation in participants' baseline reading speeds will be large enough to obscure any differences between the font styles. Arrange the following steps to construct a research protocol and statistical analysis plan that maximizes the study's sensitivity by specifically targeting and removing this source of error.
In psychological research, comparing a one-way ANOVA and a repeated-measures ANOVA involves understanding how each handles participant variance and how this affects the final results. Match each concept to the characteristic that distinguishes it in this comparison.
In psychological research, transitioning from a between-subjects design to a within-subjects design allows for a more sensitive statistical test. Arrange the steps in the logical order that explains why a repeated-measures ANOVA typically produces a higher -ratio than a one-way ANOVA.
A researcher measures the concentration levels of 30 students across three different times of day (morning, afternoon, evening). If the researcher analyzes this within-subjects data using a one-way ANOVA instead of a repeated-measures ANOVA, the test will be less sensitive because the consistent individual differences in baseline concentration between students will inflate the within-groups variance ().
A researcher is evaluating whether to use a one-way ANOVA or a repeated-measures ANOVA for a study where participants have highly diverse baseline performance levels. They conclude that the repeated-measures ANOVA is the superior choice for maximizing sensitivity because it allows the researcher to subtract the variance caused by stable _____ differences from the within-groups variance ().
If a researcher evaluates a within-subjects dataset using a one-way ANOVA instead of a repeated-measures ANOVA, they are selecting a less effective statistical tool. This choice results in a test with lower _____ because the within-groups variance () remains inflated by stable individual differences that could have been partitioned out.
A cognitive psychologist wants to apply a repeated-measures design instead of a between-subjects design to test the impact of three different noise environments on learning. Explain how the application of this design choice alters the mathematical calculation of the within-groups variance () and the -ratio compared to a one-way ANOVA. Refer to the behavior of participant variance in your explanation.
Analyze the researcher's decision to switch to a within-subjects design. How would the student baseline reading speed differences have affected the within-groups variance () and the -ratio in the originally planned one-way ANOVA? Explain how the repeated-measures ANOVA analyzes and resolves this specific problem.
Evaluate the statistical trade-off when a researcher chooses to analyze a within-subjects dataset using a one-way ANOVA instead of a repeated-measures ANOVA. What is the consequence of this choice on the sensitivity of the hypothesis test?