The ANOVA test will tolerate some violation of the model assumptions as long as
A)sample size is quite small.
B)sample sizes are roughly equal.
C)at least one sample is greater than 50.
D)there are more than 4 separate samples.

Question

Quizplus · Accepted Answer

The ANOVA test assumes that the samples are independent, randomly selected, and follow a normal distribution with equal variances. However, if the sample sizes are roughly equal, the test may tolerate some violation of the normality and equal variance assumptions. This is because the F-test used in ANOVA is robust to moderate departures from normality and equal variance, especially when the sample sizes are roughly equal. Therefore, option B is the best choice. The other options are incorrect because sample size and number of samples do not necessarily determine the validity of the ANOVA assumptions, and having one sample greater than 50 does not necessarily imply anything about the model assumptions.

The ANOVA Test Will Tolerate Some Violation of the Model