THE WORST EXAMPLE OF A THREE WAY INTERACTION EVER. Or possibly the best.

A friend posted this link about why women shouldn't go to college on her facebook page, more out of incredulity and hilarity than for comment and criticism:

https://thetransformedwife.com/men-prefer-debt-free-virgins-without-tattoos/

I posted this comment (jokingly, need I say?): "I do prefer debt-free virgins without tattoos to heavily indebted virgins without tattoos, but if they have tattoos my preferences are reversed; except if they're not virgins, I prefer the debt-free ones with tattoos to heavily indebted non-virgins with tattoos, but without tattoos I prefer the heavily indebted ones to the debt-free ones. And that, class, is an example of a three-way interaction."

My friend replied, "I need you to use this in class this fall." Another suggested, "Will you put these lyrics to music? please?"

To the second question, I said I thought it was already quite musical. To the first, I said I would, and here's the graph to go with it:

A three-way interaction for the IVs of tatooedness, virginity, and indebtedness, with the DV being preference measured on a 7 point scale.

Content-wise, it's nonsensical bordering on offensive, but graphically and conceptually it does describe a three-way tattooedness-by-indebtedness-by-virginity interaction. Note that there is a two-way tattooedness-by-indebtedness interaction at each level of virginity, such that the effect of being tattooed is different depending on the level of indebtedness. The three-way interaction means that those two-way interactions are different depending on the level of the third IV, virginity.

I apologize for all of this.