Question

Which of the following statements about ANOVA completely randomized design is correct? a. The ANOVA test assumes that the sampled populations are normally distributed. b. The ANOVA test assumes that the sampled populations have a common variances . c. The ANOVA test assumes that the samples are randomly and independently selected from their respective populations. d. All of these. e. None of these.

Answer 1

d. All of these.

Explanation:

Analysis of variance (ANOVA) is used in statistics to determine the difference between the mean of two groups. A completely randomized design implies that samples are randomly assigned to either a treatment group or a placebo group during the experiment. For example, if 40 people are selected to test the effect of an analgesic, four groups could be designed- Groups A, B, C, and D. Groups A, B, and C, can be given different amounts of the drug and Group D, given a placebo. This is an example of a randomized design because the participants were randomly assigned to the groups.

For an ANOVA test to exhibit complete randomized design, we assume that the sample populations are normally distributed, and also have the same variances. We also assume in this design, that samples are randomly and independently selected from their respective populations.