belmontgenetics.org
𝑌 be the door with the prize
𝑋 be the door chosen by the contestant
𝑍 be the door opened by the host
When the game starts X⊥Y, and Z is influenced by both X and Y; but after Monty selects Z the DAG can be updated
𝑌 be the door with the prize
𝑋 be the door chosen by the contestant
𝑍 be the door opened by the host
When the game starts X⊥Y, and Z is influenced by both X and Y; but after Monty selects Z the DAG can be updated
Here's the DAG
Here's the DAG
Thank you, Chad Shaw (Rice U STAT530), for pointing out that it can be viewed through the lens of graphical models. I'm posting it here because it's fun (and selfishly to reinforce the factorization for me).
There are 3 doors: one prize and two goats
Thank you, Chad Shaw (Rice U STAT530), for pointing out that it can be viewed through the lens of graphical models. I'm posting it here because it's fun (and selfishly to reinforce the factorization for me).
There are 3 doors: one prize and two goats