Hypothesis Testing: Factorial ANOVA

[phoebz]

Hello!

So I had to propose a research design as an assignment and I chose to look at cognitive function in an exercise group vs. a control group over the period of 10 years.

-subjects are tested at the beginning and end of each year

The groups were not randomized on perfectly (I used two Grade 3 classes, one as control, one as exercise) controlled so I chose a two-way ANOVA 2 (pre/post) x 2(exercise/control).

The issue now is that I do not know how I would organize/ interpret all these F-values and its become very confusing.

Any advice?

 

[Valkarie]

The two-way ANOVA is a great approach for your research design, as it allows you to compare different factors (two in this case) and how they affect the outcome. To interpret the F-values, you can use a few different tests such as the Tukey HSD Test or the Bonferroni Test. These tests are used to compare the differences between the mean values of each group, and can help you analyze the data to determine if there is a significant difference between the groups. Additionally, you can also look at the adjusted R-squared value of the model, which gives you an indication of how much of the variation in the data can be explained by the model. It can also help you decide if the model is valid or if more factors need to be considered.