Psych Learn Questions: Module 11 Introduction to One-Way Within-Groups ANOVA

Select the scenario that would be appropriate for a one-way within-groups ANOVA

An administrator compares the mean difference in words per minute reading scores for the same group of students tested as 1st graders, 2nd graders, and 3rd graders.

To determine the influence of counseling and exercise on self-esteem, researchers measured self-esteem levels in the same group of participants before they began counseling and again after 4 and 8 consecutive weeks of counseling. They also randomly assigned half of the participants to exercise for 30 minutes 3 times a week and the other half to abstain from exercise longer than 20 minutes creating 6 total groups of participants. Is this research design appropriate for a one-way within-groups ANOVA?

No, there are two independent variables

Which of the following variances is found in the denominator of the F-ratio for a within-groups ANOVA

MS error

Which of the following types of variability are found only in the numerator of the F-ratio for within-groups ANOVA?

Variability caused by differences between the conditions

Select the research question that would be appropriate for a one-way within-groups ANOVA.

Is there a difference in taste satisfaction ratings from the same individuals when they consume cheeseburgers from 4 different fast food restaurants?

Which of the following independent variables is appropriate for a one-way within-groups ANOVA?

Distraction conditions, including the same individuals with no distraction, a visual distraction, and an auditory distraction.

A one-way within-groups ANOVA is distinct from a t-test because

it compares three or more sample means.

A within-groups ANOVA was conducted and the value for the F-statistic was much greater than one. This is an indication that the

variance between conditions was larger than the error variance.

Researchers want to test the effectiveness of three different types of COVID-19 vaccines and each individual can only receive one type of vaccine. Why would it not be possible to conduct a one-way within-groups ANOVA?

The same individuals could not participate in each level of the independent variable (i.e., they could not receive each of the vaccines).

A study is designed to test the hypothesis that spatial ability is a heritable trait. Thirty participants are solicited from a large family reunion to each complete a battery of surveys about their families’ spatial abilities. Which of the three assumptions is likely violated in this study design?

observations are independent

A one-way within-groups ANOVA was conducted and, as a test of the statistical assumptions, Mauchly’s test was preformed, with the results statistically significant. Which of the three assumptions appears to have been violated?

Sphericity

There are three important assumptions that should be met when conducting a one-way within-groups ANOVA. Which of these assumptions is not relevant to this analysis.

The variances of between-groups variables are homogenous

Which of these is the correct symbolic presentation of an alternative hypothesis for a study comparing blood pressure reduction for the same individuals after each of four meditation practices?

H1: Not all means are equal