A researcher conducts an Analysis of Variance (ANOVA) testlooking at the effect of different treatment program options(therapy, education and reentry services) and finds that drug uselevels vary significantly among between the participants in each ofthese three groups. For example, the therapy group had lowestamount of drug use (mean=2.0), the education group had the highest(mean=7.0) and the reentry services group was in the middle(mean=6.0). The researcher follows the steps to conduct an ANOVAappropropriately. The researcher's math is correct and shecorrectly rejects the null. However, she goes on to make theadditional conclusion/interpretation: \"Therefore, the ANOVA showsthat there are statistically significant differences between thetherapy group and the reentry services group.\"
Please evaluate the additional conclusions the researcher makes:a. Is it correct or incorrect to make this additional conclusionusing the ANOVA test? Why or why not ? [Note the question is not atall concerned about differences between bivariate and multivariateanalysis techniques. It only pertains to understanding ANOVA.]
