A researcher is interested in the effects of three methods of trainingthe traditional model, the computer model, and the video modelfeeling that people who receive different kinds (levels) of training should show differences in the dependent variable, which is the level of math anxiety. The researcher's null hypothesis is that there will be no differences in mean level of math anxiety for the three groups (assume there is a valid, interval-level measure of math anxiety).

However, after thinking about it, the researcher wonders if the methods may also be effective with anxiety related to public speaking. The null hypothesis here is that there will be no differences in the mean level of anxiety related to public speaking for the three groups (assume there is a valid, interval-level measure of fear of public speaking.

The researcher decides to do two separate one-way ANOVAs to analyze the research. However, a colleague reports that they have evidence that math anxiety and public speaking anxiety are positively correlated. In fact, there is about a .4 correlation between math anxiety and anxiety due to public speaking.

As an expert in statistics, the researcher comes to you for guidance. What advise do you offer? Defend your answers with one or two references.