Learn Before
Repeated-Measures ANOVA
The repeated-measures ANOVA is a statistical test utilized for within-subjects designs, in which the means being compared are derived from the same participants who are tested under different conditions or at multiple times. While it shares the same fundamental logic as the one-way ANOVA, it employs a distinct mathematical approach specifically adapted to account for measuring the dependent variable multiple times for each individual.
0
1
Tags
KPU
Research Methods in Psychology - 4th American Edition @ KPU
Related
Null and Alternative Hypotheses for One-Way ANOVA
Mean Squares Between Groups
Mean Squares Within Groups
Degrees of Freedom (One-Way ANOVA)
ANOVA Table
Sum of Squares Between Groups
Sum of Squares Within Groups
Example of a One-Way ANOVA
Post Hoc Comparisons
Repeated-Measures ANOVA
Formula for the F Statistic in ANOVA
In a psychological research study, what is the primary purpose of using a one-way analysis of variance (ANOVA)?
A researcher is planning a study using a one-way ANOVA. Match each component of the one-way ANOVA with its specific role in the research design.
A clinical psychologist is testing the effectiveness of three different dosages of a new medication (Low, Medium, and High) on reducing anxiety symptoms. Each patient is randomly assigned to receive only one of the three dosages. To evaluate whether the mean anxiety scores differ significantly across these three independent groups, the psychologist should apply a One-Way ANOVA.
A social psychologist is studying the impact of four different room temperatures (Cold, Cool, Room Temp, and Warm) on the aggressive behavior of participants. Each participant is assigned to only one temperature condition. To analyze whether the mean aggression scores differ significantly across these four groups, the researcher performs a One-Way ANOVA. Arrange the logical steps of the variance partitioning and statistical testing process in the correct order.
In the context of psychological research, which of the following scenarios best demonstrates the appropriate use of a one-way ANOVA?
A one-way ANOVA is specifically applied within a between-subjects research design where a(n) _____ independent variable is manipulated across multiple independent groups.
A senior researcher is critiquing a colleague's plan to compare the mean anxiety scores () of participants assigned to four different exercise conditions. The colleague proposes running multiple independent-samples t-tests to evaluate every possible pair. The senior researcher concludes that to prevent an increase in the familywise Type I error rate, the single most appropriate statistical analysis to perform is a(n) _____.
A clinical psychologist wants to compare the effectiveness of different therapy modalities. They randomly assign 45 anxious participants to one of three independent groups: Cognitive Behavioral Therapy (CBT), Mindfulness-Based Stress Reduction (MBSR), or a waitlist control group. After eight weeks, they compare the mean anxiety scores () of the three groups. True or False: A one-way ANOVA is the appropriate statistical test to analyze if there are significant differences among these three groups.
Match each statistical design criterion of a psychological study with the corresponding requirement or component of a one-way ANOVA.
A researcher is evaluating a draft of a research proposal to determine if a one-way ANOVA is the correct statistical test. Order the steps they should take to evaluate the research design against the requirements of a one-way ANOVA.
Learn After
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.