An anthropologist is interested in the impact of the usage of mind-altering drugs in religious ceremonies. She selects five underdeveloped countries for inclusion in her study. She then selects 10 tribes in each country. Finally, she randomly selects 20 families from each tribe for an in-depth interview. After the interview, the anthropologist assigns a score that reflects the ­impact of the usage of mind-altering drugs in religious ceremonies. The researcher is interested in determining if there is a difference in the average scores across countries and what the degree of variability is in the index across tribes and families. In this study, there are three factors of interest to the researcher: country, tribe, and family.
a. Identify each of the factors as fixed or random; justify your answer.
b. State whether the factors are nested or crossed; provide reasons for your answers.
c. Provide an AOV table that includes source of variation, df, and expected mean squares.