# Graphical representation of two-way ANOVA

In my data set, I've run a 2-way ANOVA with interaction. Found the interaction term to be non-significant. I re-ran the ANOVA without the interaction, and got the results that both my explanatory variables are significant.

In essence, the resulting plot looks like this:

What would be an efficient way to recapitulate the statistical result on such a graph? Should I split the graphs by gender? By courses? Both?

• Math courses and gender are the explanatory variables, but what is your response variable? Apr 21 '17 at 15:11
• In this example, test scores Apr 21 '17 at 15:15
• I am sorry I didn't see score labelled on the y-axis. Is it correct to assume that the score is not for a course. Apr 21 '17 at 15:18
• I like your graph. In the good old days before the printing press was invented, scientists such as Galileo and da Vinci would integrate text and graphics. Tufte has argued that we should get back to doing that. Therefore, I would recommend putting some inferential statistics in text form in your graph. Perhaps in the lower right. Although Box Plots usually don't include means, I like versions that do when presented with inferential statistics testing mean differences. Apr 21 '17 at 18:38
• @DizietAsahi Since there was not answer in here: Did you come up with a solution yourself Dec 11 '17 at 10:57

• Thanks @Mark. The question is how to indicate (with stars ***) the degree of statistical significance of the differences, so that someone skimming the figures of the paper would get the info without having to refer to the text Apr 21 '17 at 17:47