1.Hard to interpret
2. Hard to estimate
However, sometimes we need the higher order of interactions because we want to figure out the interaction of numerous parameters.

Dangers of Higher Order Interactions

Just keep multiplying
Reference: 
YouTube. (2019, January 21). Statistical rethinking winter 2019 lecture 09. YouTube. https://www.youtube.com/watch?v=QhHfo6-Bx8o&amp;list=PLDcUM9US4XdNM4Edgs7weiyIguLSToZRI&amp;index=9. 

Ohio State University, Columbus

Shade and water can both affect bloom. Yet, shade may also affect (has interaction) with water.

How to Interpret the Two Models (with and without Interactions)

McElreath, R. (2020). Statistical Rethinking: A Bayesian Course with Examples in R and STAN (2nd ed.). Chapman and Hall/CRC.

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