Which of the following is a required condition for one-way ANOVA?
A) The populations must all be normally distributed.
B) The population variances must be equal.
C) The samples for each treatment must be selected randomly and independently.
D) All of these choices are correct.

Question

Quizplus · Accepted Answer

All of these choices are correct. In order to perform a one-way ANOVA, the populations should be normally distributed, but this condition can be relaxed if sample sizes are large. Additionally, the population variances should be equal across all treatment groups, but this condition can also be relaxed if the sample sizes are equal or the ratio of the largest to smallest sample size is less than 4. Finally, the samples for each treatment group should be selected randomly and independently to ensure that there is no bias in the selection process.

Which of the Following Is a Required Condition for One-Way