diff --git a/book/models/change_of_variable_hmc.md b/book/models/change_of_variable_hmc.md index 9ef9c006..3ad50f60 100644 --- a/book/models/change_of_variable_hmc.md +++ b/book/models/change_of_variable_hmc.md @@ -14,7 +14,7 @@ kernelspec: # Change of Variable in HMC -**Rat tumor problem:** We have J certain kinds of rat tumor diseases. For each kind of tumor, we test $N_{j}$ people/animals and among those $y_{j}$ tested positive. Here we assume that $y_{j}$ is distrubuted with **Binom**($N_{i}$, $\theta_{i}$). Our objective is to approximate $\theta_{j}$ for each type of tumor. +**Rat tumor problem:** We have J certain kinds of rat tumor diseases. For each kind of tumor, we test $N_{j}$ people/animals and among those $y_{j}$ tested positive. Here we assume that $y_{j}$ is distrubuted with **Binom**($N_{j}$, $\theta_{j}$). Our objective is to approximate $\theta_{j}$ for each type of tumor. In particular we use following binomial hierarchical model where $y_{j}$ and $N_{j}$ are observed variables.